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3 years ago

What is the inverse of y = 3x + 9? A. y= 1/3x - 3 B. y = 1/3x + 9 C. y = -1/3x - 3 D. y = 9x + 3

Mathematics

1 answer:

Aneli [31]3 years ago

6 0

Answer:

1/3x - 3

Step-by-step explanation:

To find the inverse, we exchange x and y and then solve for y

y =3x+9

Exchange x and y

x = 3y+9

Then solve for y

Subtract 9 from each side

x-9 =3y+9-9

x-9 = 3y

Divide by 3

1/3(x-9) = 3y/3

1/3(x-9) = y

Distribute

1/3x-3 = y

The inverse is 1/3 x -3

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MrRa [10]

Answer:

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The 1996 gss asked, "if the husband in a family wants children, but the wife decides that she does not want any children, is it

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The confidence interval would be
$0.80\pm0.03$ .

We use the formula
$p\pm z*\sigma_p$ , where

$\sigma_p=\sqrt{\frac{p(1-p)}{N}}$ , with p being the sample proportion and N being the sample size.

First we find the z-score associated with this level of confidence:
Convert 95% to a decimal: 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.

Since 578/720 said yes, this gives us p=0.80:
$\sigma_p=\sqrt{\frac{0.80(1-0.80)}{720}}=\sqrt{\frac{0.8(0.2)}{720}=0.015$

This gives us
$0.80\pm1.96(0.015)=0.80\pm 0.03$

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