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Schach [20]
2 years ago
10

Geometry math question no Guessing and Please show work thank you

Mathematics
1 answer:
4vir4ik [10]2 years ago
3 0

here 8x and (2x+60) are corresponding angles

since line l1 and l2 are parallel, so the two angles will be equal

8x=2x+60

8x-2x=60

6x=60

dividing by 6

x=10

option D. 10 is correct

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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
2 years ago
Marcus is buying a car. He borrows $10,000 from the bank at a 9% rate for 5 years. At the end of the 5 years, how much interest
igomit [66]

Answer:

$4500 in interest.

Step-by-step explanation:

9% of 10,000 is 900, 900 x 5 is 4500

4 0
1 year ago
it takes jeremiah a total of 1 1/6 hours to ride his bike to and from work each day. if jeremah works 5 day a week for 4 weeks,
levacccp [35]
3 hours Jeremiah has to spend riding his bike
7 0
2 years ago
What are the next three terms in the sequence -27, -19, -11, -3, 5, ...?
ddd [48]

Answer:

13, 21, 29

Step-by-step explanation:

the difference is 8

so add 8 to last numbers

3 0
3 years ago
Read 2 more answers
(PLEASE HELP)
Dovator [93]

Answer:

have a great day

Step-by-step explanation:

7 0
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