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2 years ago

The system of equations 2y = 14 - 2x and y=-x+ 7 is

Mathematics

1 answer:

elena-s [515]2 years ago

7 0

Answer:

Infinitely many solutions

Step-by-step explanation:

Given system:

2y = 14 - 2x
y = -x + 7

Divide the first equation by 2 and rearrange:

2y/2 = 14/2 - 2x/2
y = 7 - x
y = -x + 7

We got the same equation with the second one. It means we have two of the same lines overlapping.

This gives us infinitely many solutions.

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A skydiver is falling at about 176 feet per second. How many feet per minute?

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3 years ago

The mean height of married American women in their early twenties is 64.5 inches and the standard deviation is 2.5 inches. The m

SSSSS [86.1K]

Answer:

The equation for regression line and predicting a husband's height for married couples in their early 20s

Equation: Y'=33.67+0.54*X'

Step-by-step explanation:

r=0.5

x'=64.5

Sx=2.5

y'=68.5

Sy=2.7

General regression line equation is:

Y'=a+b*X'

so the slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x'

$b=r*\frac{S_{y}}{S_{x}}\\b=0.5*\frac{2.7}{2.5}\\b=0.54$

The intercept with axis y is the mean of the decreased by the product of the slope and the mean of x

$a=y'-b*x'\\a=68.5-0.54*64.5\\a=33.67$

The equation regression line then is:

Y'=33.67+0.54*X'

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