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Goryan [66]
2 years ago
15

The sum of the measures of two angles is 140 degrees. The ratio of their measures is 3:4.

Mathematics
1 answer:
USPshnik [31]2 years ago
7 0

Answer: The measurement of the first angle would be 60 degrees and the second angle would be 80 degrees.

Step-by-step explanation: They both are equal to the ratio of 3:4 because 3 x 20 would be 60 and 4 x 20 is 80. When added together they would equal is 140 degrees.

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If 1/a + 1/b =1/c and ab=c,what is the average of a and b?
goblinko [34]
If we solve the left side of the given equation,
                                  1/a + 1/b = 1/c
 we get an answer of,
                                    b+a / ab = 1/c
Since ab = c, we can conclude that b + a is 1. The average of these two numbers is equal to there sum divided by 2. The answer is therefore equal to 0.5. 
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What is the measure of angle UST?
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I think the answer is c 30 degrees!!
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a recording studio charges musicians an initial fee of $50 to record an album. studio time cost an additional $75 per hour. writ
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3 years ago
A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the fl
ankoles [38]

Answer:

1.

The null hypothesis is H_0: \mu = 4

The alternate hypothesis is H_1: \mu > 4

2.

The p-value of the test is of 0.0045.

3.

The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.

Step-by-step explanation:

A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 4 gallons per minute (gpm).

At the null hypothesis, we test that the mean is 4, so:

H_0: \mu = 4

At the alternate hypothesis, we test that the mean is more than 4, that is:

H_1: \mu > 4

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

4 is tested at the null hypothesis:

This means that \mu = 4

In an initial study, eight runs were made. The average flow rate was 6.4 gpm and the standard deviation was 1.9 gpm.

This means that n = 8, X = 6.4, s = 1.9

Test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{6.4 - 4}{\frac{1.9}{\sqrt{8}}}

t = 3.57

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 6.4, which is a right-tailed test with t = 3.57 and 8 - 1 = 7 degrees of freedom.

With the help of a calculator, the p-value of the test is of 0.0045.

3. Should the pump be put into service?

The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.

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3 years ago
How many peaches are in the salad
Ymorist [56]
There are 5 peaches in the salad.
5 0
3 years ago
Read 2 more answers
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