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mixer [17]
3 years ago
15

Find the missing side length (?)

Mathematics
1 answer:
frez [133]3 years ago
4 0
12/8 = x/2

Cross multiply, now 8x = 24

Divide by three, and the final answer is X = 3
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Point V lies between points U and W on Line segment U W.
Nutka1998 [239]

Answer:

The correct answer is (d) 36 units.

Step-by-step explanation:

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5 0
3 years ago
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The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10
steposvetlana [31]

Using the normal distribution, it is found that the probability is 0.16.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively, \mu = 70, \sigma = 3.

The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:

X = 67:

Z = \frac{X - \mu}{\sigma}

Z = \frac{67 - 70}{3}

Z = -1

Z = -1 has a p-value of 0.16.

X = 45:

Z = \frac{X - \mu}{\sigma}

Z = \frac{45 - 70}{3}

Z = -8.3

Z = -8.3 has a p-value of 0.

0.16 - 0 = 0.16

The probability is 0.16.

More can be learned about the normal distribution at brainly.com/question/24663213

3 0
2 years ago
Find the absolute value l-7 -9il​
KATRIN_1 [288]
-7 is 7 and - 9 would be 9
5 0
3 years ago
The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the
Usimov [2.4K]

Answer:

The equivalent ratios are:

s = \frac{LA}{r}s=

r

LA

r = \frac{LA}{s}r=

s

LA

The formula LA = rsLA=rs is given

In order to determine the equivalent ratios, make r the subject of the formula and s the subject of the formula in the above equation

To make s, the subject of the equation, divide both sides of the equation by r

s = \frac{LA}{r}s=

r

LA

To make r, the subject of the equation, divide both sides of the equation by s

r = \frac{LA}{s}r=

s

LA

Step-by-step explanation:

the Answer is Above The Image Or The Answer box

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7 0
2 years ago
Read 2 more answers
In 2009 a survey of Internet usage found that 79 percent of adults age 18 years and older in the United States use the Internet.
Alex777 [14]

Answer:

0.025 = 2.33\sqrt{\frac{0.79*0.21}{n}}

Option d.

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

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

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

79 percent of adults age 18 years and older in the United States use the Internet.

This means that \pi = 0.79

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.33.

Which of the following should be used to find the sample size (n) needed?

We have to find n for which M = 0.025

So the equation is:

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

0.025 = 2.33\sqrt{\frac{0.79*0.21}{n}}

Option d.

4 0
3 years ago
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