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vekshin1
3 years ago
8

Please help me do this math problem. It is open ended with no answer choices to choose from, and I am sooo confused about how to

do it. The attachment shows the problem.

Mathematics
1 answer:
dusya [7]3 years ago
8 0
Use Moivre Formula to find cube roots of 64(cos219+isin219)

Cubic roots =∛[64(cos219+isin219)] = [64(cos219+isin219)]^(1/3)

= 4[(cos219+isin219)]^(1/3)=4[cos(219)/3+isin219/3)]=
= 1.169 + 3.82 i

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If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
Stels [109]
So (f-g)(x) = 3x2 + x, so when x = 2, the function is 14
4 0
3 years ago
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
Help me out pretty please guys​
egoroff_w [7]
What do you need help with? There is no picture or anything so...
8 0
3 years ago
The triangles are similar. If KL = 5, JL = 6, and PM = 9, find PN. Round to the nearest tenth.
Pachacha [2.7K]
If the triangles are similar, then the corresponding ratio of their sides have equal ratios. Through ratio and proportion, we would determine the answer.

5/6 = x/9, where x is the length for side PN

Transposing the equation so that x is on the left side:

x = (5/6)*9
x = 7.5
6 0
3 years ago
Can someone plzzz help me with number 7 and the bottom ones plzzz and show work for number 7 plzzzz
Georgia [21]

Answer:

number 7: always bisect

3 0
3 years ago
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