Mathematics College

The mean height of American women in their late twenties is about 64.5 inches and the standard deviation is about 2.5 inches. The mean height of men the same age is about 68.5 inches, with a standard deviation of about 2.7 inches. If the correlation between the heights of married heterosexual men and their wives is about r=0.5, what is the equation of the regression line of the the husbands height on the wife’s height in young couples?

Answers

Answer 1

Answer:

For married couples in their early 20s, the regression equation and the prediction of a husband's height

Equation: Y'=33.67+0.54*X'

Step-by-step explanation:

Given that

r=0.5x'=64.5Sx=2.5y'=68.5Sy=2.7

General regression line equation is:

Y'=a+b*X'

Therefore, the slope of the regression line is equal to the linear correlation coefficient times the difference between the standard deviations of y' and x'.

$b = r\times\frac{S_y}{S_x}$

$b = 0.5\times\frac{2.7}{2.5}$

b = 0.54

The mean of the lowered by the slope and mean of x is the intercept with axis y.

$a = y'-b\times x'$

$a = 68.5-0.54\times 64.5$

$a = 33.67$

Now, putting the values of a and b in regression equation

So, we get

Y'=a+b*X'

Equation: Y'=33.67+0.54*X'

Answer:

For married couples in their early 20s, the regression equation and the prediction of a husband's height

Equation: Y'=33.67+0.54*X'

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Related Questions

Farid is baking muffins, The recipe calls for 3/4 cup of sugar for a full batch. Farid is making 1/2 of a batch. Write an expression for the amount of sugar Farid needs to make 1/2 of a batch of muffins. WILL GIVE BRAINLIEST, THANKS, AND FIVE STARS PLZ HELP ME

Answers

Answer:

y = 3/8x

3/8 cups of sugar for every 1/2 batch of muffins

Step-by-step explanation:

Since we are only making 1/2 of the full batch of muffins, we only need to use 1/2 the cups of sugar:

$\frac{3}{4} (\frac{1}{2} )= \frac{3}{8}$ cups of sugar.

Answer:

$\frac{x}{2} = \frac{3y}{8}$

Step-by-step explanation:

Let the batch be x and the amount of sugar be y

Condition:

x = $\frac{3}{4} y$

Multiplying both sides by 1/2

$\frac{1}{2} x = \frac{3}{4}y * \frac{1}{2}$

$\frac{x}{2} = \frac{3y*1}{4*2}$

$\frac{x}{2} = \frac{3y}{8}$

So, For 1/2 batch of muffins, Farid need 3/8 cups of sugar.

Consider a tree T with n vertices, where n is an odd integer greater than or equal to 3. Let v be a vertex of T. Prove that there exists a vertex u in T such that the distance between u and v is at most (n-1)/2

Answers

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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I got the answer 0.007853982 inches sq, but it says it’s not correct, what am I doing wrong?

Answers

Answer:

Area of pupil = 0.007855 square inch.

Step-by-step explanation:

Given the following data;

Diameter = 0.1 inch

To find the area of the pupil (circle);

Area of circle = π(D/2)²

Area of pupil = 3.142*(0.1/2)²

Area of pupil = 3.142*(0.05)²

Area of pupil = 3.142*0.0025

Area of pupil = 0.007855 square inch.

Its 8th grade math please answer i wanna double check lOl

Answers

Answer:

Imma Go With A

Step-by-step explanation:

Hope I Helped :)

Have A Good Day

Btw Let Me Know If I Did Help

I think it’s a I think I did this

Coupons driving visits. A store randomly samples 603 shoppers over the course of a year and nds that 142 of them made their visit because of a coupon they'd received in the mail. Construct a 95% con dence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail.

Answers

Answer:

The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$, and a confidence level of $1-\alpha$, we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$.

For this problem, we have that:

$n = 603, \pi = \frac{142}{603} = 0.2355$

95% confidence level

So $\alpha = 0.05$, z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$, so $Z = 1.96$.

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694$

The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)

The ratio of grade 7's to grade 8's is 5:3. If there
are a total of 90 grade 8's, how many total
students are there in grade 7 and 8?

Answers

Answer:

240 students

Step-by-step explanation:

Grade 7 : Grade 8 = 5 : 3

Number of seventh grade students = 5x

Number of Eighth grade students = 3x

3x = 90

x = 90÷3

x = 30

Total students = 5x + 3x = 8x = 8 * 30 = 240

14. Simon earned 400sh as a for goods sold what Commission 15,000 worth so, 600 could be his varnings for a total sale of 7,000

Answers

His total earnings for a total sale of 7,000 could be 1450sh

How to determine his earnings for a total sale of 7,000.

From the question, we have the following parameters that can be used in our computation:

Salary = 400

Commission = 15%

using the above as a guide, we have the following:

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

Answers

Answer:

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

For the Security Company:

Mean = (1.2 + 1.4 + 1.2 + 1.4 + 1.7 + 1.5 + 1.8 + 1.5 + 1.5 + 1.6) / 10

Mean = 1.5 million dollars

For the Other Companies:

Mean = (1.7 + 1.8 + 1.6 + 1.9 + 1.6 + 2.2 + 1.8 + 1.9 + 1.9 + 2.3) / 10

Mean = 1.85 million dollars

Therefore, the mean for the Security Company is $1.5 million and the mean for the Other Companies is $1.85 million.

omplete the proof to show that abcd is a parallelogram. on a coordinate plane, quadrilateral a b c d is shown. point a is at (negative 2, negative 2), point b is at (negative 3, 4), point c is at (2, 2), and point d is at (3, negative 4). the slope of line segment b c is startfraction 4 minus 2 over negative 3 minus 2 endfraction

Answers

The quadrilateral abcd is a parallelogram because the slopes of opposite sides are equal.

In the given figure we have a quadrilateral ABCD with A (-2,-2) , B(-3,4), C(2,2)

and D(3,-4).

We know that when the slope of two lines are equal then they are parallel.

In the given figure, Slope of BC= Slope of AD =

⇒ BC and AD are parallel .

Also, Slope of CD= Slope of BA =-6

⇒ CD and BA are parallel .

ABCD is a parallelogram because both pairs of opposite sides are parallel.

Hence, the correct reason for the given space is "slopes of opposite sides are equal"

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Which one is correctly a ,b,or c?

Answers

A is the correct answer

Any points that are parallel to the other are congruent.

Answer:

the answer is A

Step-by-step explanation:

someone answer this please!!

Answers

4^5
You simply subtract powers (8-3)
It only works when number in numerator and denominator are the same

Solve for x and find the
missing angles :)

Answers

Answer:

x = 20

I'm not sure about the missing angles

According to government data, the probability than an adult never had the flu is 19%. You randomly select 70 adults and ask if he or she ever had the flu. Decide whether you can use the normal distribution to approximate the binomial distribution, If so, find the mean and standard deviation, If not, explain why. Round to the nearest hundredth when necessary.

Answers

Answer:

Since $np \geq 10$ and $n(1-p) \geq 10$, the normal distribution can be used to approximate the binomial distribution.

The mean is 13.3 and the standard deviation is 3.28.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$, the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$, $\sigma = \sqrt{V(X)}$, if $np \geq 10$ and $n(1-p) \geq 10$.

The probability than an adult never had the flu is 19%.

This means that $p = 0.19$

You randomly select 70 adults and ask if he or she ever had the flu.

This means that $n = 70$

Decide whether you can use the normal distribution to approximate the binomial distribution

$np = 70*0.19 = 13.3 \geq 10$

$n(1-p) = 70*0.81 = 56.7 \geq 10$

Since $np \geq 10$ and $n(1-p) \geq 10$, the normal distribution can be used to approximate the binomial distribution.

Mean:

$\mu = E(X) = np = 70*0.19 = 13.3$

Standard deviation:

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{70*0.19*0.81} = 3.28$

The mean is 13.3 and the standard deviation is 3.28.

which expressions are equivalent to 3^4/9/3^2/9? select all that apply

Answers

Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{m-n}$

then

$\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }$

= $3^{\frac{4}{9}-\frac{2}{9} }$ ← first expression

= $3^{\frac{2}{9} }$ ← third expression

In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below. Monday Tuesday Wednesday Thursday Friday On Time ||| || Late | ||| |||| Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot. Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.

Answers

Step-by-step explanation:

Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.

The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.

With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.

With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.

Answer:

Can I get brainliest please??

Step-by-step explanation:

In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned

If the zeros of a parabola are at x = 4 and x = -2 what could be the equation of the parabola?

Answers

Answer:

the equation would be: y=(x-4)(x+2)

5 years ago, the mother's age was 3 times of her son's age. 5 years hence, the ratio between the ages of mother and the son becomes 11:5. Find the mother's present age?

Answers

Answer:

50 years

Step-by-step explanation:

Let 5 years ago the age of son be x years

Given that

mother's age was 3 times of her son's age

5 years ago the age of mother was 3x years

Then present age of son will be 5 years more than age he had 5 years ago

present age of son = (x+5) years

similarly present age of mother = 3x+5 years

_________________________________________________________

Let calculate age 5 year hence

5 year hence age of son = present age of son + 5 years

5 year hence age of son = (x+5) years + 5 years = x + 10 years

5 year hence age of mother = present age of mother + 5 years

5 year hence age of mother = (3x+5) years + 5 years = 3x + 10 years

Given that

ratio between the ages of mother and the son becomes 11:5

thus,

3x+10/x+10 = 11/5

=> 5(3x+10) = 11(x+10)

=> 15x+50 = 11x+110

=> 15x-11x = 110-50

=> 4x= 60

=> x = 60/4 = 15

Thus, value of x is 15 years

_________________________________________

We have present age of mother as 3x+5, substituting valye of x as 15

3x+5 = 3*15+5 = 45+5 = 50

Mother's present age is 50 years.

PLEASE HURRY 5MINUTES

Read the excerpt from Blanca Flor.

The Narrator. Juanito took the thimble and started to carry the water from the lake. He worked as hard as he could, but soon he began to realize that the job really was an impossible one, and he knew he was doomed. He sat down and began to cry because his luck had abandoned him and because his parents' blessings offered no protection in that evil place. Blanca Flor watched Juanito's valiant effort to move the water. As she watched him crying, her heart was touched, and she decided to use her powers to help him. She knew that it was very dangerous to use her powers to help Juanito and to cross Don Ricardo, but she felt it was finally time to end her own torment. As Juanito cried, Blanca Flor took out her brush and began to brush his hair. She cradled Juanito in her arms and her soothing comfort soon put him to sleep . . .

[As soon as JUANITO is asleep, BLANCA FLOR gently puts his head down and leaves, taking the thimble with her.]

What do the stage directions at the end of the excerpt indicate?

They indicate that Blanca Flor is going to help Juanito.
They indicate that Juanito is doomed.
They indicate that Blanca Flor is running away.
They indicate that Don Ricardo will be back any minute.

Answers

Answer:A

Step-by-step explanation:

because She cradled Juanito in her arms and her soothing comfort soon put him to sleep which means she wanted to help

Answer:

A) It indicates that Blanca Flor is going to help Juanito.

Step-by-step explanation:

A sub shop ordered 40 pounds of tomatoes. If the tomatoes are evenly distributed into 12 tubs, how many pounds will go into each tub?

Answers

Using unitary method we conclude that, 3.33 pounds of tomatoes will go into each tub.

In this question, we have been given a sub shop ordered 40 pounds of tomatoes.

The tomatoes are evenly distributed into 12 tubs.

We need to find the number of pounds of tomatoes will go into each tub.

Let x be the number of pounds of tomatoes will go into each tub.

By unitary method,

x = 40 / 12

x = 3.33 pounds

Therefore by using unitary method we conclude that, 3.33 pounds of tomatoes will go into each tub.

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PLS HELP

During a 90-minute school play, the main character was on stage 80% of the time.
What amount of time in minutes was the main character on stage?
88.9 minutes
112.5 minutes
80 minutes
72 minutes

Answers

Answer:

72 minutes

Step-by-step explanation:

you convert the 80% to decimal form so its now 0.80.

then you multiply how long the school play was (90) times the 'percentage' of how long the main character was on the stage (0.80).

90 times .80 is 72.

hope this helped:)

Factor the greatest common factor (GCF) from each polynomial. - 12y + 48x

Answers

Answer:

-12(y-4x)

Step-by-step explanation:

-12y+48x=-12(y-4x)

There are five main roads between the cities A and B and 4 between B and C. In how many ways can a person drive from A to C and return without driving on the same road twice?

Answers

There are 20 possible routes that a man could take to go between cities and then take a different route back.

What is meant by permutation?

In mathematics, a permutation of a set is, broadly speaking, the rearranging of its elements if the set is already sorted, or the arrangement of its members into a sequence or linear order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context.

Let the number of roads between the cities A and B = 5.

The rules of permutation must be used in this situation.

A permutation is an arrangement of all or a portion of a collection of items that takes into account the arrangement's order.

The man uses five different routes to get from A to B because there are five different routes accessible.

He can get back by 4 (5 1) methods because he needs to take a different route.

Therefore, there are 20 possible routes that a man could take to go between cities and then take a different route back.

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Luisa is solving an equation on the bottom of a page. The corner of the page where the
equation is written is torn off as shown below.

7(x + 3) = 7(x + 5)

Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solu-
tions. What must be the missing number?
A 2
B 14
C 21
D 35

Answers

To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:

7x + 21 = 7x + 35

Subtracting 7x from both sides, we get:

21 = 35

This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.

However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.

Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:

7(5 - 3) = 14

Therefore, the missing number is 14, which corresponds to answer option B.

4.50x +5.50x – 7.50x
Which expression is equivalent to the one shown above?
A.6.50x
B.3.50x
C. 2.50x
D.1.50x

Answers

Hey there!

4.50x + 5.50x - 7.50x

= 4.5x + 5.5x - 7.5x

= 10x - 7.5x

COMBINE the LIKE TERMS

= (10x - 7.5x)

= 10x - 7.5x

= 2.5x

≈ 2.50x

Therefore, your answer is: 2.50x

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Solve the following inequality:

Answers

Answer:

$r \geqslant - 16$

Step-by-step explanation:

$ \frac{ - 10 + r}{2} \geqslant - 13$

multiply both sides by 2:

$ - 10 + r \geqslant - 26$

add 10 on both sides:

$r \geqslant - 16$

Answer:

$r \ge -16$

Step-by-step explanation:

To solve any equation/inequality:

1. get the variable to show up exactly once

2. isolate it

$\frac{-10+r}{2} \ge -13$

Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)

$\frac{-10+r}{2} *2 \ge -13 *2$

$-10+r \ge -26$

Add 10 to both sides, and simplify

$(-10+r)+10 \ge (-26)+10$

$r \ge -16$

How do I know a table is linear

Answers

Answer:

You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear.

Step-by-step explanation:

Hope this helped~

Answer:

You can tell if a table is linear by looking at how X and Y change.If,as X increases by 1, Y increases by a constant rate,then a table is linear.

HELP ASAP PLEASE (25 POINTS) Solve and reduce if possible. 5/12 − 7/8 = ?

Answers

Answer:

-11/24

Step-by-step explanation:

5/12 - 7/8

We need to get a common denominator of 24

5/12 *2/2 - 7/8 *3/3

10/24 - 21/24

-11/24

Answer:

-11/24

Step-by-step explanation:

Well to solve 5/12 - 7/8 we need to find the LCM.

12 - 12, 24, 36, 48

8 - 8, 16, 24, 32, 40

So the LCM is 24.

Meaning we need to make both denominators 24.

12*2 = 24 5*2 = 10

10/24

8*3 = 24 7*3 = 21

21/24

10/24 - 21/24

= -11/24

Thus,

the answer is -11/24.

Hope this helps :)

Determine the x. Show your work inthe diagram on the right.T50°120°V

Answers

The answer is very simple.

We must analyze the diagram to find the solution.

That is the angle UVT

180 - 120 = 60

The angle VUT would be.

180 - 50 - 60 = 70

The solution to the unknown angle would be:

∡ VUT = 70

X +3
2x²
2x2 - 4x -4
2x]
Squash
| 4x-7
Beans
N
W
E
Corn
Š
4x - 21
Pumpkins
2x + 5
Potatoes
X + 8
x² - 13
3x - 4x + 6
1. Write and simplify the polynomial expression that represents the length of the south side
of the field. (10 points)

Answers

Answer:

the heck is all that I can’t solve this fix it then I will

Step-by-step explanation:

When writing a proof, how do you construct the first statement?
A) By writing the justification for the first statement in the right column.
B) By copying the “prove” statement(s) from the original problem.
C) By writing the next logical statement from the current one.
D) By copying the “given” statement(s) from the original problem.

Answers

When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.

How should you construct the first statement in a proof?

When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.

It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.