1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AleksandrR [38]
2 years ago
15

The heights of men in the United States are approximately normally distributed with mean 69.1 inches and standard deviation 2.9

inches. The heights of women in the United States are approximately nor- mally distributed with mean 63.7 inches and standard deviation 2.7 inches. Additionally, suppose that the heights of husbands and wives have a correlation of 0.3. Let X and Y be the heights of a married couple chosen at random. What are the mean and standard deviation of the average height,
Mathematics
1 answer:
Gre4nikov [31]2 years ago
7 0

Answer:

Step-by-step explanation:

Let M be the heights of men in the United States and W be the heights of women in the United States

Given that M is N(69.1, 2.9) and W (63.7, 2.7)

For a husband and wife we have average height as

\frac{x+y}{2}=Z (say)

Mean =E(z) = \frac{1}{2} [E(M)+E(W)] = 66.4 inches

Var (Z) =Var (\frac{x+y}{2} )=\frac{1}{4}[Var(x)+ Var(y)+2 cov (x,y)]\\

=0.25[2.9^2+2.7^2+2*r*sx*sy]\\= 0.25(20.398)\\=5.0995

Mean = 66.4" and std dev = 2.258

You might be interested in
1. Which number makes this equation true? v 2 + 10v + 16 = (v + 8)(v + ?) (1 point) 2 4 6 8 2. What is the factored form of x 2
rusak2 [61]
1. The answer is two because if you factor what you can from the equation and then simplify, you are left with 2v+16=(v+8)(?), and by looking at it, the correct answer is two, or A. Review your work, make sure to check your answers before submitting
2. Since two simple factors of 8 are 4 and 2, and they add up to 6, the correct answer is (x+4)(x+2), or B
3. Again, two simple factors of 12 are -4 and -3, so the correct answer is (x-3)(x-4), or D
4. Basically, just factor the quadratic trinomial g^2-2g-24, which turns out to (G+4)(g-6), which is B
5 0
3 years ago
Read 2 more answers
How is using partial products to find the product of two 2-digit factors similar to how you have used partial products in the pa
klasskru [66]
Well the multiplication part is the same .Its in the ordering it has to be(ex: 42 times 35) but it has to be placed vertically .For the second number multiply to the right then the left .Repeat .Then you got your answer using 2 digits similar to regular multiplication partial products .Hope this helped !!
4 0
3 years ago
Read 2 more answers
Pleaseee help quickly !!!!
lisabon 2012 [21]

Let's solve your equation step-by-step.

(− 5 /8 )(x)=−160

Step 1: Simplify both sides of the equation.

−5 /8

x=−160

Step 2: Multiply both sides by 8/(-5).

( 8 /−5 )x( −5 /8 x)=( 8/ −5 )*(−160)

x=256

Answer:

x=256

8 0
2 years ago
The histogram shows the distributions of essay scores for high school sophomores and juniors in a contest. Which comparison of t
goblinko [34]

Answer:

A=Both distributions are nearly symmetric

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The scale on a map is 1 inch = 2 1/2 miles. If two landmarks on the map
irakobra [83]
Hi, first thing to do is divide 2.5 by 4 which is 0.625and you can either multiply 0.625 by three or subtract it from 2.5. So the answer comes out to be 1.875. You’re welcome and have a nice day
6 0
3 years ago
Other questions:
  • Marble Slab Creamery is creating a cone-shaped paper wrapper for its new green Baby Yoda waffle cone. The wrapper should have a
    9·1 answer
  • Can someone please do 1,2 and 3 please
    12·1 answer
  • Alphabet cutouts come in packages of 6 sheets for $8. How much does Tanesha spend on alphabet cutouts if she need 72 sheets?
    5·2 answers
  • Idk do not know how to do this
    12·2 answers
  • t) A car rental agency rents 210 cars per day at a rate of 27 dollars per day. For each 1 dollar increase in the daily rate, 5 f
    7·1 answer
  • Johnny spend 1/7 of his income on Food, 1/10 of his income on gas, and 3/8 of his income on rent. What percentage of his income
    9·1 answer
  • a soccer league has a ratio of 11:3 of players to coaches. if there are 165 players in the league. how many coaches are there?​
    10·2 answers
  • Please help with the math question!!!
    15·2 answers
  • A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high sch
    6·1 answer
  • The points (10, -10) and (8, -10) fall on a particular line. What is its equation in slope-intercept form?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!