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Anastasy [175]
3 years ago
13

Given the following function, state the domain.

Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0

Answer:

i think its all real number because they are all positives

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An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted t
LekaFEV [45]

Answer:

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

At the null hypothesis, we test if the mean is the same, that is:

H_0: \mu = 59.5

At the alternate hypothesis, we test that it is different, that is:

H_a: \mu \neq 59.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

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

59.5 is tested at the null hypothesis:

This means that \mu = 59.5

After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.

This means that n = 250, X = 59.2, \sigma = 1.9

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}

z = -2.5

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

2*0.0062 = 0.0124

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

5 0
3 years ago
What is the base higher and area
algol13

Answer:

5

8

20

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If one-third of a number, x, is greater than five less than twice the number, which of the following is true?
Doss [256]

Answer:

Step-by-step explanation:

x>-3/5

7 0
3 years ago
Verify/prove the following trigonometric identity:
myrzilka [38]

Answer:

<em>I </em><em>THINK</em><em> IT</em><em> </em><em>WORKS</em>

<em>TRY</em><em> IT</em><em> </em><em />

7 0
2 years ago
The coin collection has 60 quarters. This is 25% of the coins. How many coins are in this collection?
maw [93]

Answer:

240

Step-by-step explanation:

If it is 25% then if you multiply by 4 the 25% becomes 100% so you also multiply 60 by 4 and get 240

8 0
3 years ago
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