Answer:
Y=54x−2y=54x−1
I hope this helps you!
Helpppp pleaseeeeeeeee
Answer:
Step-by-step explanation:
A right triangle has the height of 20 cenimeters and a base of 10 cenimeters what is the area of the triangle
Answer:
100
Step-by-step explanation:
Area of a triangle is b*h/2
So it's 10*20/2 which is 100
Manuel is ordering an ice cream dessert. He must order a size, a flavor of Ice cream, and a topping. There are 6 sizes, 2 flavors, and 1 topping to choose from.
How many different ice cream desserts could he order?
The following histogram shows the relative frequencies of the heights, recorded to the nearest inch, of a population of women. The mean of the population is 64.97 inches, and the standard deviation is 2.66 inches.
One woman from the population will be selected at random.
Question 3
(c) The histogram displays a discrete probability model for height. However, height is often considered a continuous variable that follows a normal model. Consider a normal model that uses the mean and standard deviation of the population of women as its parameters.
(i) Use the normal model and the relationship between area and relative frequency to find the probability that the randomly selected woman will have a height of at least 67 inches. Show your work.
(ii) Does your answer in part (c-i) match your answer in part (a) ? If not, give a reason for why the answers might be different.
Question 4
(d) Let the random variable H represent the height of a woman in the population. P(H<60) represents the probability of randomly selecting a woman with height less than 60 inches. Based on the information given, the probability can be found using either the discrete model or the normal model.
(i) Give an example of a probability of H that can be found using the discrete model but not the normal model. Explain why.
(ii) Give an example of a probability of H that can be found using the normal model but not the discrete model. Explain why.
Answer:
The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches
(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work
Answer:
0.22268
Step-by-step explanation:
z-score is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work
At least means equal to or greater than 67 inches
z = 67 - 64.97/2.66
z = 0.76316
P-value from Z-Table:
P(x<67) = 0.77732
P(x>67) = 1 - P(x<67) = 0.22268
The probability that the selected woman will have a height of at least 67 inches is 0.22268
Step-by-step explanation:
A variable that can have any value between two given value is known as continuous variable, while a variable have only integer values is a discrete variable
The correct values are;
(c) (i) The probability of a height of at least 67 is 0.2263
(ii) The answers do not match due to the difference between the discrete and normal probability models
(d) (i) A probability that can be found using the discrete model but not the normal model is P (H = 60)
The probability of an exact value using the normal distribution is zero
(ii) A probability that can be found using the normal model but not the discrete model is P(H = 56)
The value is for height of 56 inches is not given on the histogram and therefore
The reason the above selections are correct is follows:
(c) (i) Using the normal probability model, we have;
The mean = 64.27 inches, the standard deviation = 2.66 inches
The z-score for the height of 67 inches is given as follows;
[tex]z = \mathbf{\dfrac{x - \mu}{\sigma}}[/tex]
Therefore, we have;
[tex]z = \dfrac{67 -64.97}{2.66} \approx 0.7632[/tex]
From the z-score table, the probability P(x < 67) = 0.7737
P(x > 67) = 1 - P(x < 67) = 1 - 0.7737 = 0.2263
The probability of a height of at least 67, by the normal model = 0.2263
(ii) Based on the histogram, we have;
The probability of at least 67 = The area of the bars equal to and larger than 67 = (0.11 + 0.07 + 0.05 + 0.02 + 0.01 + 0.01) × 1 = 0.27
The probability of a height of at least 67 = 0.27
The answer in part (c-i) and the answer in part (a) using the histogram do not match
The reason they do not match is that the normal model used in part c is
based on normal probability, which focuses on future events, using the
normal model which is a continuous probability model, while the value of
probability calculated using the histogram is based on the relative
frequency, which focuses on historical values, based on the discrete model
(d) (i) An example of a probability that can be found using the discrete model but not the normal model is the probability that the height of a woman is a discreet single value such as 65 inches
Therefore, using the discreet model, we have;
P(H = 65) = 0.18
Using the continuous model, we have;
P(H = 65) = 0
This is so because the continuous model is given by the area under the curve, which for a single value is infinitesimally small
(ii) An example of a probability that can be found using the normal model but not the discrete model is the probability of the height of a woman selected is 56 inches, P(H = 56) is not given in the histogram
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The line of best fit for a data set is y=1. 1x+3. 4. Find the residual for each of the coordinate pairs, (x,y).
D. (1. 5,5. 05)
The residual values are -0.1, 3.8, 0.32, and 0 respectively for the given coordinate pairs.
A residual is a difference between the observed value (y) and the predicted value (y-hat) for a given x value. To find the residual for each coordinate pair (x,y), we need to substitute the x value into the equation for the line of best fit and calculate the difference between that value and the observed y value.
The equation for the line of best fit is y = 1.1x + 3.4
The residual for each coordinate pair (x,y) is given by -
Residual = Yactual - y
A. (5, 8.8) ; Yactual = 8.8
Residual = 8.8 - (1.1(5) + 3.4) = - 0.1
B. (2.5, 9.95) Yactual = 9.95
Residual = 9.95 - (1.1(2.5) + 3.4) = 3.8
C. (0, 3.72) Yactual = 3.72
Residual = 3.72 - (1.1(0) + 3.4) = 0.32
D. (1.5,5.05) Yactual =
Residual = 5.05 - (1.1(1.5) + 3.4) = 0
It's worth noting that residuals are used to measure how well the line of best fit represents the data set. The residuals should be as close to zero as possible, indicating that the line of best fit is a good representation of the data set.
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The complete question is -
The line of best fit for a data set is y=1.1x+3.4. Find the residual for each of the coordinate pairs, (x,y).
A. (5, 8.8)
B. (2.5, 9.95)
C. (0, 3.72)
D. (1.5,5.05)
3.5 x 4 + 11 x 2.2 = 115.5
i know what the answer is i used a calculator i just need to explain how i got the answer its the last question then im done it i might give the brain thing if i can
Answer:
3.5. 2.2.
x 4. x 1 1
------ -----------
14.0. 22
220
24.2
Step-by-step explanation:
answer for me is 38.2
are you sure ur math is right?
Plsss hurry i need help brainliest involed
what is the value of x 25=x^2
6,000mL=............L
Step-by-step explanation:
1L=1000mLso 6000mL÷1000mL*1L=6LI hope it helps have a great weekend!!Aisha bought 15 apples and oranges for $9.00. each orange costs $0.50, and each apple costs $0.65. let x represent the number of oranges and y represent the number of apples. which system can be used to find the number of apples and oranges aisha bought? x y = 15. 0.5 x 0.65 y = 9.00 x = y. 0.5 x 0.65 y = 9.00 x y = 9. 0.5 x 0.65 y = 15.00 x = y. 0.5 x 0.65 y = 15.00
Both (x + y = 15) and (0.5x + 0.65y = 9.00) make up the equation system.
What is an equation ?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
The statement is not an equation if there is no "equal to" sign in it
According to our question-
x is the quantity of oranges.
y is the quantity of apples.
Oranges plus apples equal 15, or x plus y equals 15, so Aisha purchased 15 pieces of fruit.
Apples cost $0.65 and oranges cost $0.50. The fruit cost Aisha $9.00.
0.5x (the total cost of the oranges) + 0.65y (the total cost of the apples) equals 9.00 (the total cost of the fruit).
x + y = 15
0.5x + 0.65y = 9.00
As a result, the system of equations is (0.5x + 0.65y = 9.00) and (x + y = 15).
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Researchers were interested in the season records of the Major League baseball teams, including the Los Angeles Dodgers, and the Cincinnati Reds Baseball team. Researchers collected the data at the end of the season. This sample data collection method is considered to be:
On solving the provided question, we can say that by statistical data the term "cross sectional data" refers to information gathered by observing a characteristic at the same time.
what are statistical data?Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Produsul Personal waste from concerts
data across time numbers about the population
The term "cross sectional data" refers to information gathered by collecting a characteristic at the same time.
Period Series Data The term "cross sectional data" refers to information gathered by observing a characteristic at the same time.
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A shoe box in the shape of a rectangular prism measures 12in by 7in by 4in. What is the surface area of the shoe box?
Answer:
320 sq in
Step-by-step explanation:
SA(rect prism) = 2(lw)+2(wh)+2(lh)
= 2(12·7)+2(7·4)+2(12·4)
= 2(84)+2(28)+2(48)
= 168+56+96
= 320
The graph below represents the path of a golf ball
Answer:
take a better picture
Step-by-step explanation:
Nobody can see that ;-;
Answer:
It is one of the 4 answers the question gives.
Step-by-step explanation:
A retail store sold a case of candles for $17.85 that had been marked up 110%. What was the original price of the table
The original price of the case of candles before markup was $8.50.
Markup price is the price that comes after setting up additional layer of pricing on the original price of a good. In this case also markup price is there. To find the original price of the case of candles before markup, we can use the following formula:
Original price = Marked up price / (1 + markup percentage)
In this case, the original price would be:
$17.85 / (1 + 110%) = $17.85 / 2.10 = $8.50
So the original price of the case of candles before markup was $8.50.
Thus, Original price is $8.5
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a garden has an area of 32 square feet what is the smallest possible perimeter
Answer:
24 feet
Step-by-step explanation:
factors that produce an area of 32:
1x32 Would give a perimeter of 66
2x16 Would give a perimeter of 36
4x8 Would give a perimeter of 24
Is this a function? Need halo on how to solve it
Answer:
Yes it is because it is a straight line.
(I hope it helps, because i'm just learning about this meself so...)
PLS HELP ASAP!!! In the following diagram DE | FG and KL | FG what is the measure of angle X
Answer:
<x=28 degrees
Step-by-step explanation:
Since we know line KL and FG are perpendicular, and DE and FG are parallel, then KL and DE must also be perpendicular.
Angles GCA, JCB, IAE, and CAD are all the same angle. Angles IAD, EAC, GCJ, and ACB are all the same angle. Since DE and KL are perpendicular, then angles KAD, KAE, EAL, and DAL all are 90 degrees, or right angles.
Because we know all this, we can take the angle of KAD, 90 degrees, and subtract 62 from it to find the angle of IAD. This is 28 degrees. Since angle IAD is equal to angle GCJ, which is also angle x, angle x is 28 degrees.
Hope this helps! Please mark me Brainliest!
What are the angles of a 5 12 13 triangle?
The angles of a 5-12-13 triangle are A = 81.19°, B = 48.76°, and C = 9.98°.
The angles of a triangle are determined by the triangle's side lengths. This is known as the Law of Cosines. To determine the angles of a 5-12-13 triangle, we can use the Law of Cosines formula:
Cos(A) = (b² + c² - a²) / 2bc
In this equation, A is the angle opposite side a, b is the angle opposite side b, and c is the angle opposite side c. In a 5-12-13 triangle, a = 5, b = 12, and c = 13.
Using the Law of Cosines formula, we can calculate the angle A:
Cos(A) = (12² + 13² - 5²) / 2(12)(13)
Cos(A) = (144 + 169 - 25) / 156
Cos(A) = 278 / 156
Cos(A) ≈ 1.78
Using a calculator, we can calculate the angle A:
A = cos-1 (1.78)
A ≈ 81.19°
Using the same Law of Cosines formula, we can calculate the other two angles of the triangle:
Cos(B) = (a² + c² - b²) / 2ac
Cos(B) = (5² + 13² - 12²) / 2(5)(13)
Cos(B) = (25 + 169 - 144) / 65
Cos(B) = 50 / 65
Cos(B) ≈ 0.77
Using a calculator, we can calculate the angle B:
B = cos-1 (0.77)
B ≈ 48.76°
We can also calculate the angle C:
Cos(C) = (a² + b² - c²) / 2ab
Cos(C) = (5² + 12² - 13²) / 2(5)(12)
Cos(C) = (25 + 144 - 169) / 60
Cos(C) = 10 / 60
Cos(C) ≈ 0.17
Using a calculator, we can calculate the angle C:
C = cos-1 (0.17)
C ≈ 9.98°
Therefore, the angles of a 5-12-13 triangle are A = 81.19°, B = 48.76°, and C = 9.98°.
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Hi! I need Help With The Bottom Answers Someone Already Answered The Top So Just The Bottom Questions!
F:4+4=8
A:23+8+4=35
H:53+3+28=84
I:11+17+93=121
I:24+8+3=35
I think that is all correct
Which arcs are congruent?
Arc S P and Arc S R
Arc P Q and Arc S R
Arc P Q and Arc Q R
Arc S P and Arc P R
Answer:
its B hope this helps byee
pls mark me brainless.
Answer:
B
Step-by-step explanation:
What type of lines will be presented by the system of equations 2x 3y 6 and 4x 6y 11?
The system of equations 2x+3y=6 and 4x+6y=11 will present two lines in the coordinate plane.
The linear equation is a mathematical expression that describes a straight line in a coordinate plane. It is of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line crosses the y-axis). Linear equations can also be expressed in other forms, such as ax + by = c, where a, b, and c are constants.
Since each equation represents a line, and the system has two equations, it will have two lines. The lines will be in slope-intercept form (y = mx + b), with different slopes and y-intercepts. The lines will intersect at one point, which is the solution to the system of equations.
The system of equation will present the unique straight line as the solution in two-dimensional coordinate plane.
Two lines in the coordinate plane will present the system of equations 2x+3y=6 and 4x+6y=11 .
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answer fast need in 10 min
10 equally sized slices of the spinner's 250 results. 25 times were made by Diane's dial. 12 spins are for 208.33333333333334 .
What is the probability of spinner?12 spins are for 208.33333333333334, 5 spins are worth 500, and 8 spins are worth 312.5. There are eight possibilities each time you spin the spinner (1-8). One of these eight options is for you to land on the number 8. In this case, the probability is 18.
If you spin three times and fall on red (or any other colour), the likelihood is 3/30. The likelihood that the spinner will land on an even number is 5/10. The ratio of the number of "1s" to all the other numbers on the spinner determines this probability. The spinner has a total of 8 numbers on it. The spinner has three ones on it.
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Is a polynomial yes or no?
we can find out the polynomial by the degree of the Polynomial.
Polynomial
A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division
Degree of polynomial
The degree of a polynomial is defined as the highest exponent of a monomial within a polynomial. Thus, a polynomial equation having one variable which has the largest exponent is called a degree of the polynomial.
Types of polynomial
Depending upon the number of terms, polynomials are divided into the following categories:
1-Monomial
2-Binomial
3-Trinomial
4-Polynomial containing 4 terms (Quadronomial)
5-Polynomial containing 5 terms (pentanomial ) and so on.
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How can you determine if the length of the 3 sides would make a triangle?
we can use the Triangle inequality Theorem a theorem in Euclidean geometry that states any two triangle sides added together must be greater than or equal to the third side
How to Determine if Three Side Lengths Are a Triangle?It's simpler than it seems to determine whether a triangle has three side lengths. The Triangle Inequality Theorem, which asserts that the sum of a triangle's two side lengths is always greater than the third side, will suffice. You will have a triangle if this holds true for each of the three possibilities of increased side lengths.
1 . Triangle Inequality Theorem
smaller than the total of the first two sides. You will have a valid triangle if this holds true for each of the three possible combinations. To confirm that the triangle is feasible, you will need to go through each of these combinations one at a time. Theorem a+b > c, a+c > b, and b+c > a can alternatively be thought of as an inequality. The triangle has sides of lengths a, b, and c.
In this case, a, b, and c are each equal to seven.
2. Check to see if the sum of the first two sides is greater than the third
Check to see if the sum of the first two sides is greater than the third adding the sides a and b yields 17, which is larger than 5, or 7 plus 10. It can alternatively be considered as 17 > 5.
3. Check to see if the sum of the next combination of two sides is greater than the remaining side
just see if the sum of sides a and c are greater than the side b.[4] This means you should see if 7 + 5, or 12, is greater than 10. 12 > 10,
4. Check to see if the sum of the last combination of two sides is greater than the remaining side.
Check to see if side b and side c added together are greater than side a. To accomplish this, you must determine whether 10 Plus 5 is greater than 7. The triangle is complete on all sides since 10 + 5 = 15 and 15 > 7.
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PLEASE HELP. I'LL DO ANYTHING THAT'LL BENEFIT YOU.
If you double the amount of fluid ounces, the amount of cups also double
There is a proportional relationship between the number of fluid ounces and the number of cups. So, the number of cups would change by the same factor as the number of fluid ounces.
The cost of renting equipment is sometimes proportional; because, it depends on whether the equipment has a rental fee and charge per hour or just a charge per hour. Option A.The cost of mailing a letter is proportional to the weight. The cost of mailing a 6-ounce letter is $2.82. Option BThe donation is proportional to the dinner bill
The donation for a dinner bill of $50 is $9
How to determine proportional relationship?If there are 8 fluid ounces in one cup
8 : 1 = 16 : x
8/1 = 16/x
8 × x = 16 × 1
8x = 16
x = 16/8
x = 2
The difference between weight = 1
The difference between cost = $0.68 - $0.47
= $0.21
$0.89 - $0.68
= $0.21
$1.10 - $0.89
= $0.21
Cost of mailing 6-ounce letter
1 : 0.47 = 6 : x
1/0.47 = 6/x
1 × x = 6 × 0.47
x = $2.82
The donation for a dinner bill $50 is
Dinner bill : donation
25 : 4.50 = 50 : x
25/4.50 = 50/x
25 × x = 50 × 4.50
25x = 225
x = 225/25
x =$ 9
Therefore, there is a proportional relationship between two quantities if there is an equal change in the values of both quantities.
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How do you read XYZ coordinates?
The XYZ coordinates are read as x-axis, y-axis and z-axis respectively.
Here we know that the x-axis is the horizontal line along which the wall to your left and the floor intersect where as the y-axis is the horizontal line along which the wall to your right and the floor intersect and the z-axis is the vertical line along which the walls intersect.
Here we also know that x-coordinate is measured along the east west axis, the y-coordinate is measured along the north south axis, and the z-coordinate measures height or elevation.
And it is used for a three-dimensional structure where the x-axis and y-axis represent the first two dimensions and the z-axis is the third dimension.
And in a graphic image, the axes x and y denote width and height and the z denotes depth.
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He observes that the cells triple every 3 hours. If he starts with 15 cells, how many will he have in 24 hours?
Answer:
98,415
Step-by-step explanation:
24/3=8
15 x 3x3x3x3x3x3x3x3 =98,415
Is 2x3 is a polynomial?
In 2x^3, 3 is the greatest degree of the exponent. 2x^3 is a cubic polynomial as a result.
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
An example of a polynomial of a single indeterminate x is x² − 4x + 7.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials.
For instance, the polynomial 3x+2x-5.
By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.
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How to convert log2 to log10?
To convert the log2 to log10, we can use the convert of base formula for logarithms. The change of base formula for logarithms is as written:
log b(x)=logc(x) / logc(b)
By Using this formula, we can convert or find log base 2 to log base 10, where log base 10 is called the common logarithm, and we denote log10 (x) as log(x). The change of base formula gives the following:
log2(x)=log10(x)/log10(2) = log(x)/log (2)
This gives us the formula we can use to convert a logarithm with base 2 to a common logarithm with base 10.
The log function of e to the base 10 is denoted as “log 10 e”. Where the value of e is 2.7182818. The natural log function of e is presented as “log e e”.
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Can someone answer question #1 please and thank you
i will mark brainliest
Answer:
A, 6, 8, 10
Step-by-step explanation:
since you know that it is a right triangle, you can use pythagorean theorem, which states that A^2+B^2=C^2. so you add the squares of the smaller numbers, then take the square root of that number to get the answer. it is guess and check, but its a good theorem to know.
6^2=36
8^2=64
36+64=100
√(100)=10