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'.

[tex]b = r\times\frac{S_y}{S_x}[/tex]

[tex]b = 0.5\times\frac{2.7}{2.5}[/tex]

b = 0.54

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

[tex]a = y'-b\times x'[/tex]

[tex]a = 68.5-0.54\times 64.5[/tex]

[tex]a = 33.67[/tex]

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

What is 3.81704*10^5?

Answers

Answer: 381704, because math

which expression can be used to solve the equation 2x-1=x+2

Answers

The expression can be used to solve the equation 2x - 1 = x + 2 is 3 which is option (B) .

A formula is a statement containing at least two numbers/variables and at least one mathematical operation. An expression is a combination of terms  combined by mathematical operations such as subtraction, addition, multiplication, and division.The terms involved in an expression in math are:Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

We have given an expression [tex]2x-1=x+2[/tex]  .

On solving , we get

   [tex]2x-x=2+1\\x=3[/tex]

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The complete question is mention below :

Which expression can be used to solve the equation 2x-1=x+2 ?

A. 1

B.3

C.5

D.4

help solve please x^3-2x^2-2=0

Answers

Answer:

x=2.35930...

i hope this is the answer

Is this right please tell me

Answers

Yes this is correct

Compare and order the following numbers:

√11, 2 1/4, -2.5, 3.6 repeating, -3.97621...

Answers

The correct decreasing order of the given numbers is : 3.32 > 2.25 > -2.25 > -3.98

What is Descending Order ?

Descending order is a way to arrange numbers from largest to smallest. When we arrange things in order, from a higher value to a lower value, it is known as the descending order or the decreasing order.

√11 = 3.316 = 3.32 (rounding off to two decimal places)

2 1/4 = 9/4 = 2.25 (by solving mix fraction)

-2.25 (negative number is written in negative x- axis)

-3.97621 = -3.98 (negative number is written in negative x- axis)

arranging the numbers in descending order

3.32 > 2.25 > -2.25 > -3.98

therefore, the highest number is 3.32 and the lowest number is -3.98

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Two negative consecutive integers have a sum of -45. What are the two integers?​

Answers

Answer:

-23+-22=-45

Step-by-step explanation:

In this type of question if he wants the consequtive divided number over 2 and choose the result number and pervious or next one it is depend on the questions

Answer:

The two integers will be/ are - 23 and - 24

The reciprocal of x is 0.25. The reciprocal of y is 10.

Work out the value of xy.

The book says the answer is 5/6 but I can’t get the same answer. Please help.

Answers

Answer:

XY=2/5

Step-by-step explanation:

Given the reciprocal of x is 0.25, that is then

x = 1/ 1/4 = 4

Given the reciprocal of y is 10 then

y = 1/10

xy = 4 ×1/10 =4/10 = 2/5

Which of the following represents the sum of the polynomials below?
(6x³ +2ײ +9x)+(-2x³ +5x² +3x)
OA. 4x³ +7x² +12x
OB. 4x³ +7x² +12
OC. 8x³ +7x² +12x
OD. 4x³ +7x² +6x

Answers

Answer:

A

Step-by-step explanation:

First, you have to align the like terms next to each other so that it will be easier to combine like terms. (Like terms have the same variables and powers)

[tex]6x^3+(-2x^3)+2x^2+5x^2+9x+3x[/tex]

Combine like terms:

(When combining like terms all you have to do is add/subtract the coefficients, number in front of variables, and leave the variable and exponents)

[tex]6x^3+(-2x^3)= > 6x^3-2x^3=4x^3[/tex]

[tex]2x^2+5x^2=7x^2[/tex]

[tex]9x+3x=12x[/tex]

So, we get [tex]4x^3+7x^2+12x[/tex]

5x6+12 order of operations

Answers

Answer: 5x6+12=42

Step-by-step explanation: Hope This Helps!!

Find the 9th term of the arithmetic sequence with 9=10 and d= - ½

Answers

The 9th term of this arithmetic sequence is 6.

In an Arithmetic Progression (AP), the nth term is given by the formula-

a9 = a + (n-1)d

where a = first term of the AP

d = common difference

Here, we are given that a= 10 and d = - ½

Let the 9th term of the AP be a9

Therefore, according to the formula for finding the nth term of an AP, we get-

a9 = a + (9-1)d

a9 = a + 8d

Substituting the values of a and d given in the question-

a9 = 10 + 8(-1/2)

a9 = 10 - 4

a9 = 6

Thus, the 9th term of the arithmetic sequence is 6.

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Factor completely
2x^5-7x^5/2+6

Answers

after simplifying yhe expression 2 x ⁵ - 7 x ⁵ / 2 + 6, we get the result as - 3 / 2 ( x⁵ - 4).

We are given the expression :

2 x ⁵ - 7 x ⁵ / 2 + 6

We need to factorize the expression completely.

Taking LCM, we get that,

4 x⁵ - 7 x⁵ + 12 / 2

combining the like terms, we get that,

- 3 x ⁵ + 12 / 2

taking - 3 common from the expression, we get that

- 3 / 2 ( x⁵ - 4)

Therefore, after simplifying yhe expression 2 x ⁵ - 7 x ⁵ / 2 + 6, we get the result as - 3 / 2 ( x⁵ - 4).

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18. C(−8, −6) and D(−4, 10)

Answers

Answer:

I'm assuming you want to find the slope.

If so, the answer is: m = 4

Hope this helps! <3

identify the set or sets of numbers that belong to -8/5

Answers

The number of the sets  is the  {1, 2/5,4/5,8/5}.

According to the statement

We have to find that the sets of numbers.

So, For this purpose, we know that the

A set of numbers is a collection of numbers, called elements. The set can be either a finite collection or an infinite collection of numbers.

From the given information:

The set or sets of numbers that belong to -8/5.

For make a set of the numbers we have to find the those number which are the divisible on the number -8/5.

Then

Let the number 1, 2/5,4/5,8/5.

And these are the numbers which are the divisible on the -8/5 and give some perfect value like 1, 2 etc.

The set of the numbers = {1, 2/5,4/5,8/5}

So, The number of the sets  is the  {1, 2/5,4/5,8/5}.

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Point W is located at (7,3) on a coordinate plane. Point W is translated 2 units to the left
and 3 units up. What are the coordinates of the image point W?

Answers

Answer:

(5,6)

Step-by-step explanation:

subtract 7-2 and add 3+3.

Multiple Choice Carlos read a book for language arts class.
He finished the book on Friday. On Monday he read 27 pages.
On Tuesday he read 31 pages. On Wednesday he read 28 pages.
On Thursday and Friday he read the same number of pages each day.
The book has 144 pages. How many pages did he read on Thursday?
A. 28
B. 29
C. 31
D. 58

Answers

Carlos read 29 pages on Thursday.

What are equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

So Let, the pages read by Carlos on Thursday and Friday be x as on Thursday and Friday he read the same number of pages.

The equations will be: 27 + 31 + 28 + x + x = 144

Now, solve the equation fr x as follows:

27 + 31 + 28 + x + x = 14486 + 2x = 1442x = 144 - 862x = 58x = 58/2x = 29

So, Carlos read 29 pages on Thursday and Friday.

Therefore, Carlos read 29 pages on Thursday.

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12/7 divided by 3/2 =

A. 18/7
B. 7/8
C. 7/18
D. 8/7

Answers

Answer:

Step-by-step explanation:

D

To divide a fraction by another fraction you multiply by the multiplicative inverse
12/7 divided by 3/2 becomes 12/7 times 2/3

Multiplied out you get 24/21 which reduces by dividing both the denominator and numerator by 3 giving you 8/7 or letter D

35 POINTS Rebecca has 3 paintings to sell. The amount of money Rebecca makes from selling x paintings is represented by a function.

f(x)=25x

What is the domain of the function?




all real numbers

{25, 50, 75}


{0, 25, 50, 75}


{0, 1, 2, 3}

Answers

Answer:

First one because she will not buy it for free so 0 isn't in the domain

Answer:

all real numbers I believe

..・ヾ(。><)シ

estimate the cube root of 1100​

Answers

Answer:

Step-by-step explanation:

∛1100

Answer:

10.324

Step-by-step explanation:

I doesn't have a perfect cube root

The sum of the angle measures of a quadrilateral is 360°. In Exercises 7 and 8,
write and solve an equation to find the value of x. Use a protractor to check the
of your answer.
reasonableness
7.
110°
90⁰
to
80⁰

Answers

The value of the  angle of the quadrilateral is 80° .

A quadrilateral in geometry is represented as a four-sided polygon with four  corners (vertices) and four sides .

The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name. In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon). Since "gon" is an anagram for "angle," it is also known as a quadrangle or 4-angle.There are two types of quadrilaterals: simple (not self-intersecting) and complex (self-intersecting, or crossed). Convex or concave quadrilaterals are simple quadrilaterals.The sum of all the angle measures of a quadrilateral is 360°

Given angles of the quadrilateral are 110° ,90⁰ and 80⁰.

Now let us consider the fourth angle be x.

∴110°+ 90⁰ + 80⁰ + x = 360°

or, x = 360° - (280°)

or, x = 80°.

The missing angle of the quadrilateral is 80°

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Does anyone know this answer??

Answers

does anyone know this answer. yes

Ann is 4 years older than Julie. 4 years ago Ann was twice as old as Julie. Find their present ages.

Answers

Answer: Julie is 8 years old. Ann is 12 years old.

Step-by-step explanation:

A=Ann's age. J=Julie's age

A=J+4

A-4=(J-4)*2

A-4=2(J-4)

A=2(J-4)+4

2(J-4)+4=J+4

2J-8+4=J+4

2J-4=J+4

2J=J+8

J=8

A=J+4

A=8+4

A=12

Julie is 8 years old. Ann is 12 years old.

Julie's present age (x) is 8 years old, and Ann's present age (x + 4) is 12 years old. Julie is 8 years old and Ann is 12 years old.

Let's denote Julie's age as x.

Since Ann is 4 years older than Julie, her age can be represented as x + 4.

Four years ago, Julie's age was x - 4 and Ann's age was (x + 4) - 4 = x.

Since Ann was twice as old as Julie, we can write the equation

: x = 2(x - 4).

Simplifying the equation, we get: x = 2x - 8.

Rearranging the terms, we find: x - 2x = -8.

Combining like terms, we have: -x = -8.

Finally, solving for x, we get: x = 8.

Therefore, Julie's present age (x) is 8 years old, and Ann's present age (x + 4) is 12 years old.

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-4 66/100 greater or less than -4 3/4

Answers

After the conclusion we can conclude that the fraction  [tex]-4\frac{66}{100} < -4\frac{3}{4}[/tex].

What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.

First, we need to make both denominators the same in order to find which fraction is greater and less than.

So,

[tex]-4\frac{66}{100} , -4\frac{3}{4} \\[/tex](-400+66)/100, (-16+3)/4-334/100, -13/4(-334×4)/(100×4), (-13×100)/(4×100)-1336/400, -1300/400

Hence, -1336/400 < -1300/400

So, we can conclude that:  [tex]-4\frac{66}{100} < -4\frac{3}{4}[/tex]

Therefore, the fraction  [tex]-4\frac{66}{100} < -4\frac{3}{4}[/tex].

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Question 3(Multiple Choice Worth 2 points) (Adding and Subtracting Linear Expressions MC) Write the following expression in simplest form. (3 + 16.4a) − (9 + 5.7a)


A 22.1a + (−12) B 1.07a + (−12) C 22.1a + (−6) D 10.7a + (−6)

Answers

Thea expression in simplest form is 10.7a + (−6) . Option D

What are algebraic expressions?

Algebraic expressions are expressions that comprise of variables, terms, coefficients and constants.

They are also made up of certain mathematical operations.

Given the expression;

(3 + 16.4a) − (9 + 5.7a)

expand the bracket

3 + 16. 4a - 9 - 5. 7a

collect like terms

16. 4a - 5. 7a - 9 + 3

add or subtract like terms

10. 7a - 6

Thus, the expression in simplest form is 10.7a + (−6) . Option D

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A regular pentagon has a side length of 2x+9. A square has a side length of 3x

Answers

The possible solution for x can be 22.5.

We are given that the side of the regular pentagon = 2 x + 9

So, the perimeter will be:

P ( Regular pentagon) = 5 × ( 2 x + 9 )

P ( Regular pentagon) = 10 x + 45

Also, we are given that the side of a square is 3 x

Perimeter will be:

P ( square) = 4 × 3 x

P ( square) = 12 x

Now, we are given that P ( Regular pentagon) = P ( square)

So, we get that:

10 x + 45 = 12 x

12 x - 10 x = 45

2 x = 45

x = 45 / 2

x = 22.5

Therefore, the possible solution for x can be 22.5.

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Your question was incomplete. Please refer the content below:

A regular pentagon has a side length of 2x-9. A square has a side length of 3x. If both polygons have the same perimeter, what is a possible solution of x?

Answer choices are:

K
P
J
M

Only pick one answer

Answers

Quadrant II is marked by the letter P


Evaluate: 4+8÷2× (6-3)

Answers

Answer:

12/6 but if you simplify it's 2

Step-by-step explanation:

4+8 = 12

6-3 = 3

2 x 3 = 6

12/6 = 2

15(2x + 3) = 85 + 10x

Answers

Answer:

x = 2

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

Solve for x15(2x + 3) = 85 + 10x30x + 45 = 85 + 10x  20x + 45 = 8520x = 40x = 2

The value of x is 2.

i need help with these 2 questions {^_^]

Answers

The answer is:
7) - 14
9) 16 1/2

chemical property is__________. a. a property that does not change the chemical composition of the matter. b. a characteristic of matter that indicates whether or not the piece of matter can undergo specific changes c. a property that changes with the physical location of the matter sample, d. a characteristic of matter that can be measured without changing the identity of the material

Answers

Answer:

Physical Property

Step-by-step explanation:

Physical Property. A physical property is a characteristic of a substance that can be observed or measured without changing the identity of the substance. Silver is a shiny metal that conducts electricity very well.

What is 10 x4 ten thousand

Answers

Answer:

400,000

Step-by-step explanation:

➟ 10 × 4 ten thousand

Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000

➟ 10 × 40,000

➟ 400,000

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