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mamaluj [8]
3 years ago
15

Help with trigonometry Use pythagorean theorem to find the length of x

Mathematics
1 answer:
Flauer [41]3 years ago
5 0

Answer:

x =√969

Step-by-step explanation:

AC²=AB²+BC². (Formula)

(35)²=(16)²+BC²

1225-256=BC²

969=BC²

BC=√969

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If Upper X overbar equals 62​, Upper S equals 8​, and n equals 36​, and assuming that the population is normally​ distributed, c
marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)    

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=62 represent the sample mean

\mu population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size  

Part a: Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=36-1=35

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,35)".And we see that t_{\alpha/2}=2.72

Now we have everything in order to replace into formula (1):

62-2.72\frac{8}{\sqrt{36}}=58.373    

62+2.72\frac{8}{\sqrt{36}}=65.627    

So on this case the 99% confidence interval would be given by (58.373;65.627)    

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

3 0
3 years ago
A copy machine makes
IrinaK [193]
This problem can be represented in a formula with fractions. To make it more simple, we are converting 5m30s to just pure seconds, which = 154 copies in 330 seconds.

You set up the formula like this: 154/330 = x/60. (it is x/60 because you want to know the x amount of copies per 60 seconds)

Cross multiply, you get 330x = 9240. Divide both sides by 330, you get:

 x = 28 copies.

The final answer is 28 copies per minute
7 0
3 years ago
Find the inequality represented by the graph​
ehidna [41]

Answer:

4x+3y<15

This is the inequality represented by the graph

4 0
3 years ago
The sumn of the interior angles of a polygon of n sides is
denpristay [2]

Answer:

I think c

Step-by-step explanation:

that is what it showed on my test I am not a 100% sure.

7 0
2 years ago
Change .7 to a percent. Group of answer choices<br><br> 7%<br><br> .7%<br><br> .07%<br><br> 70%
Dmitrij [34]

Answer:

70%

Step-by-step explanation:

4 0
3 years ago
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