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3 years ago

A triangle is shown. What is X?

Mathematics

2 answers:

m_a_m_a [10]3 years ago

7 0

It would be 56° since a triangle is a 190° shape

satela [25.4K]3 years ago

3 0

Answer: 44º

Step-by-step explanation:

Hi there! To start out, disregard Y and Z, as they are just there to trip you up.

Use the Triangle Sum Theorem to find out the question! This theory states that all angles in a triangle add up to 180 degrees. So, just set up an equation, like the one down below!

82+54+X=180

Then, add the whole numbers!

136+X=180

Then isolate X by using inverse operations!

136+X-136=180-136

Then your answer is there!

X=44

If you have any follow up questions, please let me know! Have a nice day

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A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would b

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Answer:

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

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The margin of error:

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For this problem, we have that:

$p = 0.1$

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So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

We need a sample size of at least n, in which n is found M = 0.04.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.1*0.9}{n}}$

$0.04\sqrt{n} = 0.588$

$\sqrt{n} = \frac{0.588}{0.04}$

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3 years ago

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Answer

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3 years ago

Read 2 more answers

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Step-by-step explanation:

The department store worker gets paid 325.00 per week plus 4% commission of their total sales. This means that the worker's earning is not fixed. It varies with the amount of sales made

if the worker sells 3600 of the merchandise, it means that the worker's sales commission will be 4% of 3600 of the merchandise

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