Ask question

Ask question

All categories

2 years ago

9

Determine the length of , given by x in the figure. Give your answer to two decimal places. SHOW YOUR WORK so I can see if it ma

kes sense. ( no links as answers)

1 answer:

goldenfox [79]2 years ago

5 0

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = base² + altitude²

= 3²+ 6²

= 9 + 36

x² = 45

x = √45

x = 6.71

You might be interested in

Simplify the expression where possible.<br><br> (3b 3) 4<br><br> .

goblinko [34]

Answer: 36b

Step-by-step explanation:

3•3=9 add the 9

9b • 4

8 0

2 years ago

Please help on this question!!!!!

Nata [24]

Answer: 65

Step-by-step explanation:

4 0

2 years ago

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

A wooden fence 6 ft. high and 300 ft. long is to be painted on one side. How many gallons of paint are needed if one gallon cove

Anna35 [415]

First, you should calculate the square footage of the fence.6ft∗300ft=1800ft2 Then to find the number of gallons of paint needed, divide the area of the fence by the area covered with each gallon of paint: 1800ft2÷400ft2=4.5 So, 4.5 gallons of paint, or rounding up, 5.

6 0

3 years ago

Read 2 more answers

30 points if answered ASAP one day jasmine earned 25.20 for 6 hours of work. another day she earned 16.80 for 4 hours of work. w

lapo4ka [179]

Answer:

d)c=4.20h

Step-by-step explanation:

the rate is 16.80 /4

4.20 per hour

earn = hours * rate

c = 4.20*h

4 0

2 years ago