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3 years ago

Inverse of f(x)= 3-x / 5

Mathematics

2 answers:

Nata [24]3 years ago

7 0

Answer:-6

Step-by-step explanation:

kondor19780726 [428]3 years ago

5 0

Answer:

-5x + 3

Step-by-step explanation:

f(x) = (3 - x)/5

f(x) = y

y = (3 - x)/5

Multiply both sides by 5.

5y = 3 - x

Subtract 3 from both sides.

5y - 3 = - x

Multiply both sides by -1.

-5y + 3 = x

Switch variables.

-5x + 3 = y

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marusya05 [52]

Answer:

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

$\hat p =\frac{955-812}{955}= 0.150$

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And the 90% confidence interval would be given (0.131;0.169).

Step-by-step explanation:

We have the following info given:

$n= 955$ represent the sampel size slected

$x = 812$ number of students who read above the eighth grade level

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

$\hat p =\frac{955-812}{955}= 0.150$

The confidence interval for the proportion would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 90% confidence interval the significance is $\alpha=1-0.9=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution and we got.

$z_{\alpha/2}=1.64$

And replacing into the confidence interval formula we got:

$0.150 - 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.131$

$0.150 + 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.169$

And the 90% confidence interval would be given (0.131;0.169).

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4 years ago