Answer:
Step-by-step explanation:
It is given that the regression equation

predicts an adult’s height (y) given the individual’s mother’s height (x1), his or her father’s height (x2), and whether the individual is male (x3 = 1) or female (x3 = 0).
The coefficient of x1 = 0.32 represents the increase in height of the child due to one inch increase in mother.
Similarly coefficient of x2 = 0.42 represents the increase in height of the child due to one inch increase in father.
and coefficient of x3 = 5.31 represents the increase in height of the child due to being a male than a female.
Answer:
Silver car
Step-by-step explanation:
It seems pretty hard but it's actually REALLY easy. gas mileage means the number of miles you can go on a particular amount of gallons. But the gallons have to be the same for both cars so that it's fair.
so let's go with 10 gallons. pretty broad number right?
so to get 12 gallons(the gallons for the blue car) to 10, We divide it by 12 then multiply it by 10. Try it yourself, (12/12)*10=???
then we do that to 384 (the miles for the blue car)
(384/12)*10=320
so 320 is the mileage for the first car. Repeat the steps for the silver car!
(14/14)*10=10
so then: (504/14)*10= 360.
So which is bigger, 320 or 360?
360 is bigger, meaning it has better gas mileage.
We can say that because 3 times 9, which would equal 27, could be the same as 4*9, which would be 36. So Pat needs 36 pints of green paint. Down below is a tape diagram so you can see what it is.
Answer:
The hawk reaches the rabbit at t=4.3 sec
Step-by-step explanation:
Let
h ----> is the height in feet
t ----> is the time in seconds
v ---> the initial velocity in feet pr second
s ----- is the starting height
we have

when the hawk reaches the rabbit the value of h is equal to zero
we have


substitute

Solve the quadratic equation by graphing
The solution is t=4.3 sec
see the attached figure
First, we get the z-score using formula:
z =( X - μ ) / σ
From the problem, we substitute the given values:
z = (9 - 7.8) / 1.7
z = 0.71
From the z-table (one-tailed), for a z-score of 0.7059, the proportion of numbers that are greater than 9 is 0.76.