4. The table gives the height and shoe sizes of six randomly selected men.
Height 67 70 73. 5 75 78 66

Shoe size 8. 5 9. 5 11 12 13 8 CO

a. What is the equation of line of best fit: 4= 42x-19. 81

b. What is the slope, and what does it mean in this problem?

C. What is the y intercept? What does it mean in this problem?

d. Using the equation of the line of best fit, if a man has a shoe size of 10. 5, what would be his predicted height?​

Answers

Answer 1

The predicted height if the man with shoe-size 10 is 427.09 cm.

We get the answers using the following steps.

a. The equation of the line of best fit is: y = 42x - 19.81

b. The slope, 42, represents the rate of change of the height variable with respect to the shoe size variable. It means that for every 1-unit increase in shoe size, we can expect a 42-unit increase in height.

c. The y-intercept, -19.81, is the point where the line of best fit crosses the y-axis. It represents the height when the shoe size is 0. It means that if a man has 0 shoe size, his height would be -19.81, both of which is impossible.

d. To predict the height of a man with a shoe size of 10.5, we substitute x = 10.5 into the equation of the line of best fit:

y = 42x - 19.81

y = 42(10.5) - 19.81

y = 447.9 - 19.81

y = 427.09

So, a man with a shoe size of 10.5 would have a predicted height of 427.09 cm

It's worth noting that this is just a predicted value and it might not be accurate. The line of best fit is calculated based on the given data set, it might not be accurate for other data points.

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Related Questions

Which metric unit would be best to measure the width of a room?

Answers

Most household objects such as tables, rooms, window frames, television screens, etc. would be measured in meters. Kilometers are used to measure long distances. If you are looking to figure out the length of a road, the distance between two locations, etc, you would use kilometers.

is -2/3 rational or irrational

Answers

Answer: I think its Rational -_-

Step-by-step explanation: Chili Dogs

Answer:

rational, this fraction is not continuous, like pi

What is 6 divided by 9.51

Answers

Answer:

The result of 6 divided by 9.51 is approximately 0.63.

Answer:

0.63091482649

Step-by-step explanation:

???????????????????????????????????/////////

Answers

Answer:

1. Rational

2. Rational

3. Irrational

4. Rational

5. Irrational

find the vertex

V(x) = 325x2 – 4600x + 145000

Answers

The vertex of V(x) = 13x² - 184x + 5800 are at 7.08 + i19.9 Or  7.08 - i19.9.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We know the graph of a quadratic equation is a parabola and the vertex of the parabola are the roots o the quadratic equation.

Given, V(x) = 325x² - 4600x + 145000.

V(x) = 13x² - 184x + 5800.  (we have factored out 25)

Now, By applying Sridhar acharya's formula,

x = [- b ± √(b² - 4ac)]/2a.

x = [184 ± √(33856 - 301600)]/26.

x =  [184 ± i√267744]/26.

x =  [184 ± i517.44]/26.

x = 7.08 + i19.9 Or  7.08 - i19.9.

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Lelani has 64 baseball cards. This is 4 times as many baseball cards as Paul has. How many baseball cards does Paul have?​

Answers

Answer:

16

Step-by-step explanation:

64 divided by 4 is 16. Paul has 16 baseball cards.

Paul has 16 baseball cards
Explanation:
64 divided by 4 = 16

Lets check the answer:
16 x 4 = 64

Have a nice day! And pls mark me brainliest TY

I need help please. ASAP

Answers

It should be about 44 in.
When given the radius, multiply times two and then multiply by pi (3.14)
7 times 2 is 14 and 14(3.14) gives you 43.96
When rounded to the nearest whole number, it gives you the final answer of 44.

Hope that helps :)


b) A bag contains 6 marbles: 3 red, 2 black, and 1 blue.
One marble is picked at random

Answers

Answer:

We need more information

Step-by-step explanation:

please help me!!Will mark brainlyist

Answers

Answer:

~64 meters

Step-by-step explanation:

depending on how you go at this, you can get a variant of what i have, but it should not go over 70 meters. nor under 60 meters.

A whale is swimming due north at a speed of 40 kilometers per hour. Just 6 kilometers away,
a whale-watching tour boat is traveling south, directly toward the whale, at a speed of 83
kilometers per hour. How long will it be before they meet?

Answers

Answer:

O hrs and 30 minutes is the answer

Step-by-step explanation:

want proof?

Answer:

  about 0.04878 hours ≈ 2 minutes 56 seconds

Step-by-step explanation:

You want the time until a whale-watching boat and a whale meet if the boat is traveling south at 83 km/h and the whale is traveling north at 40 km/h when they start 6 km apart.

Closing speed

The speed at which the gap between the boat and the whale is closed is the sum of their respective speeds:

  closing speed = 83 km/h + 40 km/h = 123 km/h

Time

The time it takes to close the 6 km gap is ...

  time = distance/speed

  time = (6 km)/(123 km/h) ≈ 0.04878 h

Converted to minutes and seconds, that is about ...

  0.04878 h ≈ 2 minutes 55.6 seconds

It will be about 2 minutes 56 seconds before the boat and whale meet.

__

Additional comment

NOAA recommends a distance of at least 100 yards be maintained between a boat and a whale. In some areas, the recommended distance is 400 yards when approaching head-on. The recommended boat speed is 15 knots or less, about 28 km/h.

Tara placed the numbers -2 1/6, 3/11 and 2 2/9 on the number line below. Which letters
represent the correct location for each number?

-2 1/6 is A, 3/11 is C, and 2 2/9 is E
or
-2 1/6 is A, 3/11 is D, and 2 2/9 is E
or
-2 1/6 is A, 3/11 is D, and 2 2/9 is F
or
-2 1/6 is B, 3/11 is D, and 2 2/9 is F

Answers

Answer:

sorry beacuse I don't know anything

I need some help again:(. My question says "complete the statement with the correct exponent" it shows 5 (blank) = 125 I know that whenever I have a two it's 5 squared but I don't know how to actually find the exponent without it showing 5 x 5 x 5 ( and so on,not what it actually showed just an example )

Answers

The value of the exponent based on the information is 3. Therefore, 5³ = 35.

How to illustrate the exponent?

It should be noted that the exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

Based on the information given, it should be noted that this can be written as:

5^x = 125

5^x = 5³

Since the base is equal

x = 5.

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Find the measure of the are or angle indicated. Assume that lines which appear tanget are tangents​

Answers

Given:

In a circle, two chords CE and DU intersect each other inside the circle at B.

Measure of arc CD = 185 degrees.

Measure of arc EU = 55 degrees.

To find:

The measure of angle CBD.

Solution:

Intersecting chords theorem: According to this theorem, if two chords intersect each other inside the circle then the measure of angle on the intersection is half of the sum of intercepted arcs.

Using Intersecting chords theorem, we get

[tex]m\angle CBD =\dfrac{1}{2}(arcCD+arcEU)[/tex]

[tex]m\angle CBD =\dfrac{1}{2}(185^\circ +55^\circ )[/tex]

[tex]m\angle CBD =\dfrac{1}{2}(240^\circ )[/tex]

[tex]m\angle CBD =120^\circ[/tex]

Therefore, the measure of angle CBD is 120 degrees.

I need help Plssssssss

Answers

No, I don't aree with him because the formula for the median is formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number. To find the median, first order the numbers from smallest to largest. Then find the middle number.

so it's 1,4,7,8 and 13 so the median is 7

so we do not agree with him

THANKS!FROM CAMBRIDGE UNIVESITY:)

Explain why the initial value of any function of the form
f(x) = a(b*) is equal to a.

Answers

The formula becomes a times 1, which is merely a, when you swap out 0 for the exponent x. This is so because 1 equals any number raised to the power of 0. The value of a will always be the initial value for any function with this form since the initial value is the function's value with an input of 0.

How do you determine F's starting value?

By looking for an equation's constant, one can also locate initial values. Graph functions benefit from understanding the y-intercept.

Any number that is multiplied by 0 equals 1.

A number is equal to a number multiplied by 1.

The value of a multiplied by one will equal its starting value.

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A pillow costs 30 dollars, you have a 20% coupon. How much will it cost
with the discount? *

Answers

Answer:

$24

Step-by-step explanation:

100% - 20% = 80%

Since the coupon is for 20% of the price, you will only pay the remaining 80% of the price.

80% of $30 = 0.8 * $30 = $24

Answer: $24

The double number line shows that a traffic signal allows traffic through the intersection for 363636 seconds. A double number line with 2 tick marks. The line labeled Time, seconds, reads from left to right: 0, 36. The line labeled Percentage, reads from left to right: 0 percent, 100 percent. A double number line with 2 tick marks. The line labeled Time, seconds, reads from left to right: 0, 36. The line labeled Percentage, reads from left to right: 0 percent, 100 percent. Complete the table to show different percentages of the time the signal allows. Time (\text{s}sstart text, s, end text) Percentage 100\%100%100, percent of 36\,\text{s}36s36, start text, s, end text 25\%25%25, percent of 36\,\text{s}36s36, start text, s, end text 125\%125%125, percent of 36\,\text{s}36s36, start text, s, end text Report a problem

Answers

The percentages for this problem are calculated as follows:

100% of 36 seconds: 36 seconds.25% of 36 seconds: 9 seconds.125% of 36 seconds: 45 seconds.

How to obtain the percentages?

The percentages in this problem are obtained applying proportions, multiplying the total amount by the decimal equivalent of the percentage.

Hence the amount that represents 100% of 36 seconds is obtained as follows:

1 x 36 = 36 seconds.

(as a percentage of 100% has a decimal equivalent of 1).

The amount that represents 25% of 36 seconds is obtained as follows:

0.25 x 36 = 9 seconds.

(as a percentage of 25% has a decimal equivalent of 1).

The percentage of 125% of 36 students can be obtained combining the two previous expressions as follows:

1.25 x 36 = 1 x 36 + 0.25 x 36 = 36 + 9 = 45 seconds.

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Karime walks 3/4 of a mile each day for 5 days.the number of miles karime walks altogether is between which two whole numbers?

Answers

Answer:

Step-by-step explanation:

To find the total number of miles Karime walks, we need to multiply the number of miles she walks each day by the number of days:

3/4 mile/day * 5 days = 15/4 miles

We can simplify this fraction to be:

15/4 = 3 3/4

The whole number portion of this result is 3, and the fractional portion is 3/4. Therefore, the total number of miles Karime walks is between 3 and 4.

In other words, the two whole numbers between which the total number of miles Karime walks are 3 and 4.

Total number of miles Karime walks altogether is,

⇒ 5 miles

We have to given that,

Karime walks 3/4 of a mile each day for 5 days.

Hence, To find number of miles Karime walks altogether, we can multiply 3/4 by 5.

So, We get;

Total number of miles Karime walks altogether is,

⇒ 3/4 x 5

⇒ 15 / 4

⇒ 3.75

⇒ 4 miles

Because 3.75 is nearest to 4.

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.You have an "equality sign" that connects 1kg of NaCl to 27 ml of a solvent, how many ml are associated with 9100 grams?

Answers

Two tiny parallel horizontal lines serve as the "equality sign" connecting 1 kilogramme of NaCl to 27 ml of a solvent.

What does ≡ mean in math?is a synonym for exactly. This is comparable to equals but not quite the same. To avoid confusion, always use the symbol =, which stands for about equal to or virtually equal to. This symbol indicates two sides of a connection that are not precise enough to be mathematically manipulated.≅ (mathematics) equivalent to around. quotes (geometry) similar to. The computer science term "it is defined as" is denoted by the meta symbol::=, which is not a mathematical expression , everywhere.x ≔ y or x ≡ y indicates that x is understood to be another name for y (however it should be noted that can also denote other things, such as congruence). P :⇔ Q denotes the logical equivalence of P to Q. Congruent or, more generally, an arbitrary equivalence relation is denoted in some circumstances by the triple bar or equal sign with three lines.

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Alyssa just accepted a job at a new company where she will make an annual salary of $53000. Alyssa was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Alyssa make as a salary after 3 years working for the company? What would be her salary after
t
t years?

Answers

Answer:

68,000

Step-by-step explanation:

53,000+5,000x3

5,000x3=15,000

53,000+15,000=68,000

Quadrilateral BCDE is similar to quadrilateral QRSP.
171°
153°
R
57°
179°
B
E
P
S
What is the measure of angle R?
degrees

Answers

Wasn’t able to get the answer Buh I hope you the best of luck bestie

Which expression is equivalent to (4^3 · 6^3)^7?

a) 10^21
b) 10^42
c) 24^21
d) 24^42

Answers

Answer:

C

Step-by-step explanation:

the answer is C but the alternative form is 9.64797×10^28

nevermind i think it's B now arg sorry

A small index of retention (IOR) shows that the data on the box plot is

Answers

Answer:vgugyu

Step-by-step explanation:

Help on this I don’t really understand it

Answers

Answer:

[tex]4x^5 +8x^3 = 4x^3(x^2 + 2)[/tex]

option 1

At the city museum, child admission is $5.60 and adult admission is $9.30. On Monday, 166 tickets were sold for a total sales of $1277.40. How many adult tickets were sold that day?

number of adult tickets []

Answers

Answer:

number of child ticket sold=x =86

number of adult ticket sold = y =74

The ruthless queen has asked the royal pharmacist to create a concoction which will straighten her curly hair. If the pharmacist combines a mixture containing 10% milkweed with another mixture containing 50% milkweed to create a 5 ounce mixture containing 30% milkweed, how many ounces of the 10% mixture will the pharmacist use?

Answers

The pharmacist utilized a 10% percentage mixture, according to the solution, in a quantity of 2 ounces.

The formula for calculating percentages?

To calculate the percentage, we must first determine the value's ratio to the sum of its parts. We must then multiply the result by 100.

Since when do we utilize percentages?

Comparing two quantities while rebasing the second quantity to 100 is the most fundamental use of percentages. If the proportion of employed women who are women is of relevance to us, let's say.

According to the given information:

We are aware that m = CV, where

V = volume and c = concentration

Let

M is equal to 6.5%, m' is equal to 7.9%, and m = 3.7%.

It is known that m + m' = M.

where cv + c'v' = CV

Since cv + c'v' = CV, the formula is:

c = 3.7% concentration = 0.037;

v = volume of 3.7% = 1 ounce;

c = 7.9% concentration = 0.079;

v' = volume of 7.9%;

C = 6.5% concentration = 0.065;

and V = volume of 6.5% = v + v'

We obtain by altering the values of the variables in the equation

3.7% × 1/3.7% + 7.9 %v' = 6.5%(v + v')

3.7% + 7.9 %v' = 6.5%(1 + v')

3.7% + 7.9 %v' = 6.5% + 6.5%v'

7.9%v' - 6.5%v' = 6.5% - 3.7%

1.4%v' = 2.8%

v' = 2.8%/1.4%

2 ounces are v'.

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What are the ordered pairs of the solutions for this system of equations? f(x)=x²-2x+3; f(x)=-2x+7

Answers

The ordered pairs that defines the solutions of the system of equations f(x) = x² - 2x + 3; f(x) = -2x + 7 are

(2, 3) and (-2, 11)

What are ordered pairs?

Ordered pairs refers to the arrangement of 2 numbers in the form (a, b)

As used in the cartesian coordinates

a refers to a point in the x direction b refers to a point in the y direction

Solutions of the system of equation is the points where the straight line intersect the curve or where the two graphs intersect.

the point of intersection

x² - 2x + 3 = -2x + 7

x² - 2x + 2x + 3 - 7 = 0

x² + 3 - 7 = 0

x² - 4 = 0

solving for x

x² = 4

x = √4

x = 2 OR -2

solving for y

For x = 2, y = -2 * 2 + 7 = 3

For x = -2, y = -2 * -2 + 7 = 11

hence we have the points to be (2, 3) and (-2, 11)

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Berry has a circle graph that is 32 percent black, 45 percent red, and 11 percent yellow. If the rest of the graph is green, then what percent of the circle graph is green?

Answers

Answer:

12% green

Step-by-step explanation:

What is the volume in cubic inches of the pyramid shown in the diagram? ​

Answers

u can download the gauthmath app i promise it's very helpful :)

THIS HAS BEEN KILLING ME!!!!!
The function y=-1/3x is reflected across the x-axis. What's the equation of the new function?
- explain step by step, please.

Answers

Check the picture below.

let's bear in mind that the -(1/3)x has a negative slope, namely going down, so a reflection over the x-axis will yield the same points pretty much, but instead of the IV Quadrant, on the I Quadrant, above, whilst the slope remains the same, it simply turns positive.

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