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3 years ago

14

The length of a rectangular window is 3 feet less than its width, w. The area of the window is 108 square feet. What is the dime

nsions of the window.?

1 answer:

svlad2 [7]3 years ago

4 0

The length of the window is 9 ft and the width of the window is 4 ft.

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Kay [80]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

Step-by-step explanation:

Information provided

$\bar X=32.1$ represent the sample mean

$\mu$ population mean

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom are given by:

$df=n-1=83-1=82$

The Confidence is given by 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=62.132$

$\chi^2_{1- \alpha/2}=104.139$

And replacing into the formula for the interval we got:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

3 0

3 years ago

Can anyone help I’ll mark brainliest!!

horrorfan [7]

13. Growing exponentially to carrying capacity
14. Population is dying down down after reaching carrying capacity

6 0

3 years ago

What is the simplified form of sqrt 10,000

lubasha [3.4K]

Answer:

100

Step-by-step explanation:

10,000 is merely 100 x 100 = 100²

so √10,000 = √100² = 100

4 0

3 years ago

Mike drank 60% of his glass of milk. Afterwards, 80ml of milk remained in the glass. What volume of milk was initially in the gl

Alina [70]

Answer:

Step-by-step explanation:

$x$ is the total volume of milk.

100% - 60% = 40%

40% is left in the glass.

40% of $x$ = 80 ml

$\frac{40}{100}$ of $x$ = 80

$x = 80$ × $\frac{100}{40}$

$x = 200$ <em>ml</em>

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3 years ago

To the nearest whole number, what is the mean number of letters per word in this sentence?

sertanlavr [38]

I counted 72 letters and 17 words so...
72/17 = 4.23 to the nearest whole number: 4 letters per word

5 0

3 years ago