Mrs. Tucker writes the fraction 1. She asks her students to translate the fraction into a percentage. The table shows the


responses of four students.


$


Student


Elvin


Ferdinand


Gertrude


Henrietta


Response


2. 75%


275%


11. 4%


114%


Which student correctly translates Mrs. Tucker's fraction into a percentage?

Answers

Answer 1

The student that correctly translates Mrs. Tucker's fraction into a percentage is Elvin and the percentage is  2.75%, under the condition that Mrs. Tucker writes the fraction 1 and tells her students to convert  the fraction into a percentage

Elvin's response is correct. Ferdinand's response is incorrect due to the application of multiplication of fraction by 100 and then added a percent sign.
Gertrude's response is incorrect due to the reason of  converting the fraction to a decimal and then multiplied by 100. nt sign to

Henrietta's response is incorrect due to the fact that she added a percepercentnt sign to the decimal equivalent of the fraction instead of multiplying it by 100.
Now To convert 1/36 to a percentage, we have to  first divide the numerator by the denominator:
1 / 36
= 0.0277777777778

Secondly , we have to  multiply the result by 100 to get the percentage
0.0277777777778 × 100
= 2.7778%

Then, the correct response is 2.75% which is the percentage equivalent of 1/36 given by Elvin.

To learn more about fraction
https://brainly.com/question/17220365
#SPJ4


Related Questions

Troy went to a Westwood Wasps basketball game on Saturday night. He paid $86.25 for a ticket to the game. He also had to pay for the 3 hours his car was parked in the parking garage. Troy spent a total of $99.

Which equation can you use to find the cost, x, for each hour Troy's car was parked in the garage?

Answers

The equation is 86.25 + 3x = 99.

How to determine the equation that can be used to find the cost per hour for Troy's car parking in the garage?

Let's assume the cost for each hour Troy's car was parked in the garage is x dollars.

Since Troy spent a total of $99, we can set up an equation based on the given information.

The cost of the ticket to the basketball game is $86.25, and Troy also had to pay for 3 hours of parking. Therefore, the equation can be written as:

86.25 + 3x = 99

In this equation, 86.25 represents the cost of the ticket, 3x represents the cost of parking for 3 hours at a rate of x dollars per hour, and 99 represents the total amount Troy spent.

Therefore, the equation is 86.25 + 3x = 99.

Learn more about the cost for each hour at Troy's.

brainly.com/question/30076036

#SPJ11

Aiden gave each member of his family a playlist of random songs to listen to and asked them to rate each song between 0 and 10. He compared his family’s ratings with the release year of each song and created the following scatterplot:
What would the linear equation be?

Answers

The linear equation in slope intercept form is:

y = -0.1x + 9

What is the Linear Equation from the Scatter Plot?

The formula for finding the Linear Equation in slope intercept form is expressed in the form:

y = mx + c

where:

m refers to the slope

c refers to the y-intercept

Looking at the given graph, we can see that:

The y-intercept = 9

The y-intercept is the point where the line crosses the y-axis while x-intercept is the point where the line crosses the x-axis.

Taking the two coordinates:

(1970, 7) and (1990, 5)

Slope:

m = (5 - 7)/(1990 - 1970)

m = -2/20

m = -0.1

Thus, the Equation in slope intercept form is expressed in the form of:

y = -0.1x + 9

Read more about Linear Equation at: https://brainly.com/question/28732353

#SPJ1

There are 30 skittles in a box, for every 5 green there are 7 yellow, how many yellows are there in the box

Answers

There are 42 yellow skittles in the box.

Based on the given information, we know that the ratio of green skittles to yellow skittles is 5:7. This means that for every 5 green skittles, there are 7 yellow skittles.

To find out how many yellow skittles are in the box, we need to know how many sets of 5 green skittles there are. We can do this by dividing the total number of skittles in the box (30) by 5 (since there are 5 green skittles for every set).
30 ÷ 5 = 6

This means there are 6 sets of 5 green skittles in the box.

Now we can use the ratio of 5:7 to find out how many yellow skittles there are in each set:
5 green skittles : 7 yellow skittles

Since there are 7 yellow skittles in each set, we can find the total number of yellow skittles by multiplying 7 by the number of sets (6):
7 x 6 = 42

There are 42 yellow skittles in the box.

To know more about "Ratio" refer here:

https://brainly.com/question/17223098#

#SPJ11

Josh wants to simplify the expression (-8)(10+(-5)+(-8))

Answers

Therefore, the simplified expression is 24.

To simplify the expression (-8)(10+(-5)+(-8)), you first need to solve the parentheses, following the order of operations, which requires solving the addition and subtraction within the parentheses before multiplying.

So, you have (-8)(10-5-8), which becomes (-8)(-3) after solving the parentheses. Finally, you can solve the multiplication by multiplying -8 by -3, resulting in 24.

It's important to remember the order of operations when simplifying expressions, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

You can read more about simplifying expressions at https://brainly.com/question/723406

#SPJ11

Kay invests £1500 in an account paying 3% compound interest per year.


Neil invests £1500 in an account paying r% simple interest per year.



At the end of the 5th year, Kay and Neil’s account both contain the same amount of money



Calculate r.


Give your answer correct to 1 decimal place

Answers

The rate of interest that Neil gets, r%, comes out to be 3.18%

Compound interest is calculated as follows:

A = P[tex](1+r)^t[/tex]

where A is the amount

P is the principal

r is the rate of interest

t is the time

Simple interest can be calculated as:

A = P (1 + r * t)

where A is the amount

P is the principal

r is the rate of interest

t is the time

For Kay,

P = £1500

t = 5 years

r = 3% compound annually

A = 1500 [tex](1+0.03)^5[/tex]

= 1500 * [tex]1.03^5[/tex]

= £ 1,738.91

For Neil,

P = £1500

t = 5 years

r = r% simple interest

According to the question,

A = 1738.91

1500 ( 1 + r * 5) = 1738.91

1 + 5r = 1.159

5r = 0.159

r = 0.0318

r% = 3.18%

Learn more about Compound Interest:

https://brainly.com/question/30364118

#SPJ4

Jack claims that QRST is a parallelogram. If m∠R = 72, m∠T = 108, and m∠S = 72, is he correct? Explain

Answers

We can conclude that Jack's claim is correct. QRST is indeed a parallelogram, since opposite angles in QRST are congruent, and opposite sides in a parallelogram are also congruent

To determine whether Jack's claim that QRST is a parallelogram is correct, we need to use the properties of parallelograms. One of the properties of a parallelogram is that opposite angles are congruent. Therefore, we need to check if the opposite angles in QRST are congruent.

If m∠R = 72 and m∠T = 108, then the sum of these angles is 180 degrees (72 + 108 = 180). This indicates that angles R and T are supplementary.

If m∠S = 72, then we need to find the measure of angle Q. Since QRST is a quadrilateral, the sum of its interior angles is 360 degrees.

m∠Q + m∠R + m∠S + m∠T = 360

Substituting the given values, we get:

m∠Q + 72 + 72 + 108 = 360

Simplifying the equation, we get:

m∠Q = 108

Therefore, angles Q and S are congruent (both measuring 72 degrees) and angles R and T are supplementary (measuring 72 and 108 degrees, respectively). Since opposite angles in QRST are congruent, and opposite sides in a parallelogram are also congruent, we can conclude that Jack's claim is correct. QRST is indeed a parallelogram.

More on parallelogram: https://brainly.com/question/11803780

#SPJ11

true or false
Solids can be "unfolded" to form different net arrangements.

Answers

Solids can be "unfolded" to form different net arrangements is a true statement.

What is the unfolding?

A net refers to a flat, two-dimensional shape that can be transformed or manipulated to form a three-dimensional object. A solid has the potential to create a variety of nets through various unfolding methods.

The term "net" for a solid refers to a flat shape that can be folded to form the solid object. it is possible to manipulate a three-dimensional object in various manners in order to produce distinct two-dimensional patterns. One can create various nets by cutting different edges of a cube and arranging the resultant faces.

Learn more about Solids  from

https://brainly.com/question/752663

#SPJ1

An object has a mass of 4. 70g. Calculate the Density of the object volume is 2. 55L

Answers

The density of the object is 0.0018 g/mL.

To calculate the density of the object, we need to use the formula:

Density = Mass / Volume

Given that the mass of the object is 4.70g and the volume is 2.55L, we can substitute these values into the formula:

Density = 4.70g / 2.55L

We need to convert the units of mass and volume to a consistent unit. Let's convert the volume from liters to milliliters (1L = 1000mL):

Density = 4.70g / 2550mL

Now we can simplify by dividing both the numerator and denominator by 10:

Density = 0.47g / 255mL

Finally, we can express the answer in units of g/mL:

Density = 0.0018 g/mL

Therefore, the density of the object is 0.0018 g/mL.

To know more about density refer here:

https://brainly.com/question/30636123?#

#SPJ11

A lawn sprinkler sprays water 2.5 meters in every direction as it rotates. What is the area of the sprinkled lawn?

Answers

The area of the sprinkled lawn is approximately 19.625 square meters.

What is the area of the sprinkled lawn?

The formula for the area of a circle is:

A = πr²

Where A is the area and r is the radius and π is constant pi ( 3.14 ).

If the sprinkler as a circle with a radius of 2.5 meters. The area that the sprinkler can cover is the area of this circle.

Here, the radius is 2.5 meters, so we can substitute that into the formula:

A = πr²

A = 3.14 × 2.5²

Area = 3.14 × 6.25

Area = 19.625 m²

Therefore, the area is 19.625 m²

Learn more about circles here:https://brainly.com/question/20693416

#SPJ1

Frank cuts a piece of cork to make trivet that has the shape and dimensions as shown.Find The Area Of The Trivet.Round Your Answer to the nearest tenth if needed

Answers

Answer:

52.5

Step-by-step explanation:

First, we can see that the base is 14m. The top is 7m, and the height is 5m. Since the formula for a trapezoid is

top + base / 2 ∙ h,

we plug in our numbers to get

7 + 14 / 2 ∙ 5.

We can solve to get

21 / 2 ∙ 5

10.5 ∙ 5

52.5

Can someone help me with this question and show the steps please

Answers

Answer: [tex](w^{\frac{1}{5} } )^{3}[/tex]

Step-by-step explanation:

The root of a number, say [tex]\sqrt[n]{x}[/tex] is equal to [tex]x^{\frac{1}{n} }[/tex]. So, [tex]\sqrt[5]{w^{3} } = (w^{3} )^{\frac{1}{5} }[/tex]. Since when dealing with an exponent of a number raised to an exponent you multiply the exponents, due to the associative property it does not matter which order you do the exponents in. So, [tex](w^{3} )^{\frac{1}{5} }= (w^{\frac{1}{5} } )^{3}[/tex], which is answer D.

What is the slope of the line that passes thru (4,-12 and (7,6)

Answers

Answer:

 = 9

Step-by-step explanation:

Slope  = (y1-y2)/(x1-x2)

           = -12-6/4-6

           =  -18/-2

           = 9

2 Gracie created the table of x and y
values shown here.
X
y
1
0
Fy=2x-2
Gy= 2x + 2
MathWarm-Ups.com
3
-4
5
-8
7
-12
Which equation represents the relationship
between the x values and the y values in
the table?
7.11A
H y = -2x + 2
J_y=-2x - 2
7.7A
r
F

Answers

The equation of the line passing through the given points is y = -2x+2.

Given that are the values of x and y coordinates we need to find the equation of the line using them,

So, considering the points (1, 0) and (3, -4),

We know that the equation of a line passing through points (x₁, y₁) and (x₂, y₂) is =

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here (x₁, y₁) and (x₂, y₂) are (1, 0) and (3, -4),

Therefore, the required equation is =

y-0 = -4-0/3-1 (x-1)

y = -2x + 2

Hence, the equation of the line passing through the given points is y = -2x+2.

Learn more about equation of the line click

https://brainly.com/question/21511618

#SPJ1

The standard deviation of the scores on a skill evaluation test is 320 points with a mean of 1434 points. if 338 tests are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 43 points? round your answer to four decimal places.

Answers

The probability that the mean of the sample would differ from the population mean by less than 43 points is approximately 0.7597 or 0.7600 (rounded to four decimal places).

Given that the standard deviation of the scores on a skill evaluation test is 320 points with a mean of 1434 points. And we have a sample of size n = 338.

We need to find the probability that the mean of the sample would differ from the population mean by less than 43 points.

The standard error of the mean is given by:

SE = σ/√n

where σ is the population standard deviation and n is the sample size.

Substituting the given values, we get:

SE = 320/√338

SE ≈ 17.398

To find the probability, we need to standardize the sample mean using the standard error as follows:

Z = (X - μ) / SE

where X is the sample mean, μ is the population mean, and SE is the standard error of the mean.

Substituting the given values, we get:

Z = (1434 - 1434) / 17.398

Z = 0

Since the mean difference is 0, we can find the probability of a difference less than 43 points by finding the probability that Z lies between -43/17.398 and 43/17.398.

Using a standard normal distribution table or calculator, we find that this probability is approximately 0.7597.

Therefore, the probability that the mean of the sample would differ from the population mean by less than 43 points is approximately 0.7597 or 0.7600 (rounded to four decimal places).

To learn more about population visit:

https://brainly.com/question/24786731

#SPJ11

Gary has a brother and a sister in college. He traveled 2 x 10^3 miles to visit his sister. He traveled 4. 2 x 10^5 miles to visit his brother. The distance Gary traveled to visit his brother is how many times as much as the distance Gary traveled to visit his sister?

Answers

The distance Gary traveled to visit his brother is 2.1 x 10^2 times as much as the distance he traveled to visit his sister.

To determine how many times the distance to visit Gary's brother is compared to the distance to visit his sister, we'll follow these steps:

1. Identify the distances traveled:
  - Sister: 2 x 10^3 miles
  - Brother: 4.2 x 10^5 miles

2. Divide the distance to the brother by the distance to the sister:
  (4.2 x 10^5 miles) / (2 x 10^3 miles)

3. Simplify the expression:
  - First, let's divide the coefficients: 4.2 ÷ 2 = 2.1
  - Next, divide the exponents: 10^5 ÷ 10^3 = 10^(5-3) = 10^2

4. Combine the results:
  2.1 x 10^2

So, the distance Gary traveled to visit his brother is 2.1 x 10^2 times as much as the distance he traveled to visit his sister.

Learn more about distance,

https://brainly.com/question/26046491

#SPJ11

Cooper is studying two fractions that are both less than 1 the first fraction has a denominator of 4 and rounds to 1. the second fraction has a denominator of 6 and the same numerator as the first fraction is the second fraction closest to 1 or 17 explain

Answers

The first fraction is closer to 1, while the second fraction is closer to 17.

Let's first determine the value of the first fraction with a denominator of 4, which rounds to 1.

Since the fraction is less than 1 and rounds to 1, its numerator must be 3. Therefore, the first fraction is:

3/4 = 0.75

Now let's consider the second fraction, which has a denominator of 6 and the same numerator as the first fraction. So its value is:

3/6 = 1/2 = 0.5

To determine which fraction is closer to 1 or 17, we need to calculate the absolute difference between the value of each fraction and 1 or 17, and then compare those differences.

For the first fraction, the absolute difference between 0.75 and 1 is:

|1 - 0.75| = 0.25

The absolute difference between 0.75 and 17 is:

|17 - 0.75| = 16.25

For the second fraction, the absolute difference between 0.5 and 1 is:

|1 - 0.5| = 0.5

The absolute difference between 0.5 and 17 is:

|17 - 0.5| = 16.5

Therefore, the first fraction is closer to 1, while the second fraction is closer to 17.

Learn more about fraction;

brainly.com/question/729654

#SPJ4

The profit in dollars from the sale of x expensive watches is P(x) = 0.08x² - 5x + 6x0.2 - 5200 Find the marginal profit when (a) x = 300. (b) x = 2000, (c) X = 5000, and (d) x = 12,000.

Answers

The marginal profit in dollars for the sale of expensive watches when approximately $1912.61.

Find the marginal profit in dollars from the sale?

We need to find the marginal profit in dollars from the sale of x expensive watches for the given profit function P(x) = 0.08x² - 5x + 6x^0.2 - 5200 when (a) x = 300, (b) x = 2000, (c) x = 5000, and (d) x = 12,000.

Find the derivative of the profit function P(x), which represents the marginal profit.
P'(x) = dP(x)/dx = 0.16x - 5 + (6 * 0.2 * x^(-0.8))

Calculate the marginal profit for each specified value of x:

x = 300:
P'(300) = 0.16(300) - 5 + (6 * 0.2 * 300^(-0.8)) ≈ 42.57

x = 2000:
P'(2000) = 0.16(2000) - 5 + (6 * 0.2 * 2000^(-0.8)) ≈ 317.52

x = 5000:
P'(5000) = 0.16(5000) - 5 + (6 * 0.2 * 5000^(-0.8)) ≈ 794.57

x = 12,000:
P'(12,000) = 0.16(12,000) - 5 + (6 * 0.2 * 12,000^(-0.8)) ≈ 1912.61

So, the marginal profit in dollars for the sale of expensive watches when (a) x = 300 is approximately $42.57, (b) x = 2000 is approximately $317.52, (c) x = 5000 is approximately $794.57, and (d) x = 12,000 is approximately $1912.61.

Learn more about derivative.

brainly.com/question/25324584

#SPJ11

A bank randomly selected 243 checking account customers and found that 105 of them also had savings accounts ar this same bank. Construct 95% confidence interval for the true proportion of checking account customers who also have savings accounts

Answers

The 95% CI for the genuine proportion of this bank's checking account customers who also have savings accounts is (0.3666, 0.4976).

To construct a 95% confidence interval for the true proportion of checking account customers who also have savings accounts, we can use the following formula:

CI = p ± z*√(p*(1-p)/n)

where:

CI is the confidence intervalp is the sample proportionz is the critical number for the appropriate level of confidence (95% in this example) from the standard normal distribution.n is the sample size

We are given that the sample size is n = 243 and that 105 of the customers had both checking and savings accounts. Therefore, the sample proportion is:

p = 105/243 = 0.4321

The critical value z for a 95% confidence interval is approximately 1.96 (obtained from a standard normal distribution table or calculator).

We get the following results when we plug these values into the formula:

CI = 0.4321 ± 1.96*√(0.4321*(1-0.4321)/243)

CI = 0.4321 ± 0.0655

CI = (0.3666, 0.4976)

Therefore, we can say with 95% confidence that the true proportion of checking account customers who also have savings accounts at this bank is between 0.3666 and 0.4976.

To learn more about confidence interval, visit:

brainly.com/question/13481020?referrer=searchResults

#SPJ4

Larray bought roses at the flower shop for $4.50 per dozen with a 90% markup. what is the final retail price

Answers

A markup refers to the amount that is added on top of the cost price of a product to arrive at the selling price. In this case, the cost price of the roses was $4.50 per dozen. Therefore, a 90% markup would mean that the selling price is 90% more than the cost price.


To calculate the markup, we can use the following formula:
Markup = Cost Price x Markup Percentage


Markup Percentage = 90% = 0.9 (in decimal form)

Markup = $4.50 x 0.9 = $4.05

This means that the markup on the roses is $4.05 per dozen.

To calculate the final retail price, we simply need to add the markup to the cost price:
Retail Price = Cost Price + Markup

Retail Price = $4.50 + $4.05 = $8.55


Therefore, the final retail price for the roses that Larray bought at the flower shop is $8.55 per dozen.


In conclusion, Larray bought roses at the flower shop for $4.50 per dozen with a 90% markup, which resulted in a final retail price of $8.55 per dozen. The markup was calculated by multiplying the cost price by the markup percentage of 90%, and then adding it to the cost price to arrive at the selling price.

This is a common practice in the flower industry, where flower shops add a markup to the cost of their products to make a profit.

To know more about selling price refer here:

https://brainly.com/question/28017453#
#SPJ11

Quickly please anyone

f(x) = 6x² - 3x + ²
2
X
f(-2) = [?]
Be sure to simplify your answer.

Answers

Answer:

Ans=28

Step-by-step explanation:

ƒ(x) = 6x2 - 3x + 22xf( - 2)=[?]

at ƒ(-2)

Substitute each x with -2

ƒ(-2) = 6(-2)2 - 3(-2) - 2

ƒ(-2) = 6(4) - 3(-2) - 2

ƒ(-2) = 24 + 6 + 0 - 2

ƒ(-2) = 28

I hope I was right

1. at which location in new york state


would one least expect to find fossils in


the surface bedrock?

Answers

One would least expect to find fossils in the surface bedrock in the Adirondack Mountains region of New York State.

This region is known for having some of the oldest rocks in North America, dating back over a billion years. These rocks were formed through volcanic activity and mountain-building processes that occurred long before the evolution of complex life forms.

As a result, the rocks in the Adirondack Mountains are generally not rich in fossils, especially those of plants and animals that evolved much later in Earth's history.

In contrast, other regions of New York State, such as the Hudson Valley and the Finger Lakes region, have rocks that are more conducive to fossil preservation. These regions were covered by shallow seas at various times in the past, allowing for the accumulation of sediment and the preservation of fossils of marine organisms.

To learn more about fossil, click here:

https://brainly.com/question/31419516

#SPJ11

what is the equation of the least-squares regression line for predicting calories consumed from time at the table? interpret the slope of the regression line in context. does it make sense to interpret the y inter- cept in this case? why or why not?

Answers

The given question is related to a regression line, where the equation is given as y = 1425 + 19.87x.

Slope of the equation is 19.87 and the intercept of the equation is 1425.

In part (a), step 2, we can explain that the slope in the least square regression equation is the coefficient of x and represents the average increase or decrease in y per unit of x.

Therefore, the slope value here is b = 19.87, which means that the average consumption of natural gas per day by Joan will decrease by 19.87 cubic feet per degree Fahrenheit over a month.

In part (b), step 1, we can explain that the y-intercept is a constant value in the least square regression equation that represents the average value of y when x is 0. Here, the intercept value is m = 1425, which means that when the temperature is 0 degrees Fahrenheit, the average consumption of natural gas per day is 1425 cubic feet.

This value has significance in this scenario because it indicates that a temperature of 0 degrees Fahrenheit is a possible temperature for which the natural gas consumption has been calculated.

To know more about regression here

https://brainly.com/question/14184702

#SPJ4

the following list shows the number of goals scored by a soccer team in each of 9 games. 0 0 1 1 1 3 3 4 5 how does the median number of goals scored compare with the mean number of goals scored? responses

Answers

The median number of goals scored is 1, and the mean number of goals scored is 2. The median is less than the mean, indicating a right-skewed distribution.

To find the median, we need to first put the numbers in order

0, 0, 1, 1, 1, 3, 3, 4, 5

There are an odd number of values, so the median is the middle value, which is 1.

To find the mean, we add up all the values and divide by the number of values

(0 + 0 + 1 + 1 + 1 + 3 + 3 + 4 + 5) / 9 = 2

So the mean number of goals scored is 2.

Since the median (1) is less than the mean (2), we can say that the distribution is skewed to the right. This is because the high value of 5 pulls the mean up, while the median is not affected as much by outliers.

Learn more about median here

brainly.com/question/28060453

#SPJ4

Find the absolute extrema if they exist, as well as all values of where they occur, for the function f(x) = 8+x/2-x on the domain [-2, 0]
Find the derivative of f(x) = 8+x/2-x
f'(x) = ...

Answers

The absolute maximum is f(-2) = 10/3, and absolute minimum is f(0) = 8.

How to determined the absolute extrema?

First, let's find the derivative of the function:

f(x) = 8+x/2-x

f'(x) = (1/2) - 1 = -1/2

Next, we need to find the critical points of the function on the given domain.

In this case, the derivative is always defined and is never zero. Therefore, there are no critical points on the given domain.

Next, we check the endpoints of the domain, x = -2 and x = 0:

f(-2) = 8 + (-2)/(2-(-2)) = 10/3

f(0) = 8 + 0/(2-0) = 8

Since the function is continuous on the closed interval [-2, 0],

The extreme value theorem tells us that the function must have both an absolute maximum and an absolute minimum on the interval.

Therefore, the absolute maximum occurs at x = -2 and is f(-2) = 10/3, and the absolute minimum occurs at x = 0 and is f(0) = 8.

Learn more about absolute extrema

brainly.com/question/2272467

#SPJ11

Whats the difference between correlation coefficient and determination coefficient?

Answers

Answer: The correlation coefficient (r) and determination coefficient (r²) are both measures of the strength and direction of the linear relationship between two variables in a dataset.

The correlation coefficient (r) is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation. The correlation coefficient only tells us the strength and direction of the relationship; it does not tell us anything about the proportion of variation in one variable that is explained by the variation in the other variable.

The determination coefficient (r²), also known as the coefficient of determination, is a measure of the proportion of variation in one variable that is explained by the variation in the other variable. It ranges from 0 to 1, with 0 indicating that none of the variation in one variable is explained by the variation in the other variable, and 1 indicating that all of the variation in one variable is explained by the variation in the other variable. The determination coefficient is calculated as the square of the correlation coefficient, so r² always has the same sign as r. A value of r² close to 1 indicates that the relationship between the variables is strong and that a large proportion of the variation in one variable can be explained by the variation in the other variable.

In summary, the correlation coefficient tells us about the strength and direction of the linear relationship between two variables, while the determination coefficient tells us about the proportion of variation in one variable that is explained by the variation in the other variable.

While correlation coefficient measures the strength and direction of the relationship between two variables, determination coefficient measures how much of the variability in one variable can be explained by the other variable.

The correlation coefficient and determination coefficient are two related statistical measures that help us understand the strength and direction of a relationship between two variables. The correlation coefficient (denoted as r) measures the strength and direction of a linear relationship between two variables. It ranges from -1 to 1, with -1 indicating a strong negative relationship, 1 indicating a strong positive relationship, and 0 suggesting no relationship.

On the other hand, the determination coefficient (represented as R²) quantifies the proportion of variance in the dependent variable that is predictable from the independent variable. It ranges from 0 to 1, with 0 indicating no explanatory power and 1 indicating perfect prediction. R² is simply the square of the correlation coefficient (r²).

In summary, while the correlation coefficient shows the strength and direction of a linear relationship, the determination coefficient indicates the extent to which one variable can predict the other. Both are important in determining the nature of relationships between variables in a data set.

Learn more about determination coefficient here: https://brainly.com/question/17237825

#SPJ11

What is the difference in credit score between those over the age of 55 and those between 18-24 years old?

Answers

According to recent studies, there is a notable difference in credit scores between those over the age of 55 and those between the ages of 18-24.

On average, individuals over the age of 55 tend to have higher credit scores than those in the 18-24 age range. This is primarily due to the fact that older individuals have had more time to establish and build their credit history, whereas younger individuals are just starting out and may not have had the opportunity to establish credit yet.

Additionally, older individuals tend to have more stable financial situations and may have less debt compared to younger individuals who may be dealing with student loans or other types of debt.

However, it's important to note that credit scores can vary greatly between individuals, regardless of age, and there are many factors that contribute to credit score, such as payment history, credit utilization, and length of credit history.

To know more about credit score:

https://brainly.com/question/29548283

#SPJ11

Determine the intervals on which the function is concave up or down and find the points of inflection f(x) = 2x^3 - 11x^2 + 7. (Give your answer as a comma-separated list of points in the form (* . *). Express numbers in exact form. Use symbolic notation and fractions where needed.)
points of inflection: ______.

Answers

Points of inflection: (11/6, -10.37).

To determine the intervals of concavity and find the points of inflection, we first need to find the second derivative of the function f(x) = 2x^3 - 11x^2 + 7.

1. First derivative:
f'(x) = 6x^2 - 22x

2. Second derivative:
f''(x) = 12x - 22

Now, we need to find the critical points by setting the second derivative equal to zero:

12x - 22 = 0
x = 11/6

The point of inflection occurs at x = 11/6. Now, let's find the intervals of concavity:

1. f''(x) > 0 (concave up):
12x - 22 > 0
x > 11/6

2. f''(x) < 0 (concave down):
12x - 22 < 0
x < 11/6

Finally, we need to find the y-coordinate for the point of inflection:

f(11/6) = 2(11/6)^3 - 11(11/6)^2 + 7 ≈ -10.37

So, the point of inflection is (11/6, -10.37).

Points of inflection: (11/6, -10.37).
Your answer: The function is concave up on the interval (11/6, ∞) and concave down on the interval (-∞, 11/6). The point of inflection is (11/6, -10.37).

To learn more about inflection, refer below:

https://brainly.com/question/11986000

#SPJ11

you are planning a trip to australia. your hotel will cost you a$110 per night for seven nights. you expect to spend another a$3,400 for meals, tours, souvenirs, and so forth. how much will this trip cost you in u.s. dollars if $1

Answers

The total cost of the trip in U.S. dollars as per given rates and conversion is equal to approximately USD 3,232.58.

Total cost of the trip in U.S. dollars,

Convert the Australian dollars to U.S. dollars.

Using the exchange rate of 0.7752 USD per 1 AUD.

The cost of the hotel is,

7 nights × A$110/night = A$770

To convert this to U.S. dollars, multiply by the exchange rate,

A$770 × 0.7752 USD/AUD

= USD 596.904

Expected cost of meals, tours, souvenirs, etc. is,

A$3,400

Convert this to U.S. dollars, we again multiply by the exchange rate,

A$3,400 × 0.7752 USD/AUD

= USD 2,635.68

Total cost of the trip in U.S. dollars is the sum of these two amounts is,

USD 596.904 + USD 2,635.68 = USD 3,232.584

Rounding to two decimal places = approximately USD 3,232.58.

Therefore, the cost of the trip in the U.S. dollars is equal to approximately USD 3,232.58.

Learn more about trip here

brainly.com/question/15698942

#SPJ4

The above question is incomplete, the complete question is:

You are planning a trip to Australia. your hotel will cost you a$110 per night for seven nights. you expect to spend another a$3,400 for meals, tours, souvenirs, and so forth. How much will this trip cost her in U.S. dollars if the USD equivalent is .7752?

PLEASE DO NOT ANSWER IT IF YOU PLAN ON TROLLING


The scatter plot shows the number of strawberries that have been picked on the farm during the month of February: A scatter plot with points showing an upward trend with points that are moderately spread out from a line of best fit. The y axis is labeled Number of Strawberries and the x axis is labeled Days in February Part A: Using computer software, a correlation coefficient of r = 0. 01 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? Part B: Instead of comparing the number of strawberries picked and the day in February, write a scenario that would be a causal relationship for strawberries picked on the farm

Answers

Weak correlation observed in scatter plot, inaccurate r=0.01 value; possible causal relationship - new fertilizer's effect on strawberry yields.

Part A: How accurate is the correlation coefficient?

Based on the scatter plot, a correlation coefficient of r=0.01 is not an accurate value for this data. This is because the scatter plot shows an upward trend with moderately spread out points from the line of best fit, indicating a weak positive correlation. A correlation coefficient of 0.01 suggests a near-zero correlation, which is inconsistent with the observed pattern in the scatter plot.

Part B: How can a causal relationship be established?

A possible scenario for a causal relationship for strawberries picked on the farm could be the application of a new fertilizer that is known to increase strawberry yields. The farmer could divide the field in half, applying the new fertilizer to one half and the traditional fertilizer to the other half, and then compare the yields of each half. This would allow for a comparison of the effect of the two different fertilizers on strawberry yields and establish a causal relationship between the fertilizer and the yield of strawberries.

Learn more about scatter plot

brainly.com/question/29231735

#SPJ11

Adam is purchasing a new television that costs $2,187. 96 after tax. He borrowed the money from his parents and must pay back the full amount plus simple interest at the rate of 3. 5%. What is the interest he will pay if he takes 2 years to pay his parents back? (Include Decimal with the cents; No Commas)


and


Adam is purchasing a new television that costs $2,187. 96 after tax. He borrowed the money from his parents and must pay back the full amount plus simple interest at the rate of 3. 5%. What is the total amount he will pay if he takes 2 years to pay his parents back? (Include Decimal with the cents; No Commas)


please

Answers

he interest he will pay if he takes 2 years to pay his parents back is $153.16. The total amount he will pay if he takes 2 years to pay his parents back is $2,341.12.

To calculate the interest Adam will pay, we need to use the simple interest formula:

Interest = Principal x Rate x Time

The principal is the amount borrowed, which is $2,187.96. The rate is 3.5% per year, or 0.035 in decimal form. The time is 2 years.

Interest = $2,187.96 x 0.035 x 2 = $153.16

Therefore, Adam will pay $153.16 in interest if he takes 2 years to pay his parents back.

To calculate the total amount he will pay, we need to add the interest to the principal:

Total amount = Principal + Interest

Total amount = $2,187.96 + $153.16 = $2,341.12

Therefore, Adam will pay a total of $2,341.12 if he takes 2 years to pay his parents back.

Learn more about simple interest here: https://brainly.com/question/25793394

#SPJ11

Other Questions
Meg has 3/10 liter of juice left in her bottle, Ines has 3 times as much juice in her bottle as Meg has How much juice, in liters, does Ines have? A company advertises on a website a worker tracked. If you needed to make 2. 5 L of a 0. 2 M fruit drink solution from the 0. 7 M drink solution, how would you do it? (Hint: Use McVc = MdVd to find the amount of concentrated solution you need, then add water to reach 2. 5 L. ) Use this data set, which shows how many miles Tisha ran each week for 10 weeks4,9,8,6,14,8,16,12Find the statistical measures that you need tomake a box plot of Tisha's running distances.(whats a statistical measure) How many grams of no2 can be produced when 25.0 g of oxygen reacts? why was congressional passage and ratification of the bill of rights so politically important to securing americans confidence in the new national government created by the constitution? By changing the norms of customer care and aligning the values of the managers employees and customers print was successful in improving performance through controls The dashed line represents a possible union. discuss the probability thatsuch a union would result in a child with cmt. Reema and Quinton both babysit for extra money. Reema charges $10 per hour andQuinton charges based on the equation m= 5h + 25. Where h is the number of hoursworked and m is the total amount of money charged. Who would make more money ifthey both worked 4 hours?o Quinton would make $10 more than ReemaO Quinton would make $5 more than Reemao Reema would make $10 more than QuintonO Reema would make $5 more than Quinton What is the S-P difference (sec)?What is the amplitude (mm)?What isthe distance (km)?What is the magnitude (M)? A cuboid has a square base of side (2 + 3)m. the area of one side is (23 - 3)m. find the height of the cuboid in the form (a+ b3)m, where a and b are integers. Based on the poll and bar graph, which of the following is true?A. Because the poll was conducted by the news media, it probably has liberal bias.B. The sample is too small to consider this poll representative of the universe.C. The approval rating among independents is more indicative of the overall approval rating of the president than any other group in this survey.D. The gap between Republican and Democrat views of the president will likely narrow. Consider the line segment defined by the points A(0, 1) and B(4,6). How does areflection across the x-axis affect AB?Select all that apply. A. The x-values of the reflection are the opposite values of the x-values of theoriginal segment. B. The y-values of the endpoints become their opposites. C The length of the reflection of AB is greater than the length of AB. DThe length of the reflection of AB is less than the length of AB. E. The length of the reflection of AB is the same as the length of AB. From a Word ProblemAn online camera store charges $3 for every8x10 picture that you order. Theshipping cost is $8. Write an equation tomodel this situation. How much will it cost toget 5 pictures printed? Question # 6 dropdown choose the word that best completes each sentence. it is important to prioritize feedback. comments from a 'heavy user' of your product will likely carry ____ weight in making design decisions, than one who is a 'light' user. on the other hand, if your customer base is mostly made up of 'light' users, then their feedback might need to carry ____ weight. 1. more2. less Using a lever, a person applies 60 n of force and moves the lever 1 m. this moves a 200-newton rock at the other end by 0. 2 m Question 3CLASS PRESIDENT In a poll for senior class president, 68 of the 145 male students said they planned to vote for Santiago. Out of 139female students, 89 planned to vote for his opponent, Measha. Construct a conditional relative frequency table based on voter preference. Show your calculations on a separate sheet of paper. Round tothe nearest whole percent if necessary La rueda de una bicicleta mide 62.2 cm de dimetro, cul es el permetro de la rueda? A person who weighs 715 N is riding a 98-N mountain bike. Suppose the entire weight of the rider and bike is supported equally by the two tires. If the gauge pressure in each tire is 6. 20 105 Pa, what is the area of contact between each tire and the ground? (a)The masses of two animals at a zoo are described, where band care integers.The mass of an African elephant is 6, 125,000 grams, or about 6 x 10 grams. The mass of a silverback gorilla is 185, 000 grams, or about 2 x 10 grams.What are the values of b and c?buCH(b) Part BUsing these estimated values, the mass of the African elephant is about 3 x 10 times the mass of the silverback gorilla, where m is an integer.What is the value of m?m