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Bad White [126]

3 years ago

10

Find the exact value of the given trigonometric expression given that sin u = 5/13 and cos v = -3/5. Both u and v are in Quadran

t II.
a. cot(u+v)

b. cos2u

c. sin(v/2)

1 answer:

kipiarov [429]3 years ago

6 0

The answer is A.

Hope I helped! :)

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What is the relationship between the changes in the radii and the volume?

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Answer:

The relationship between the volume of a cylinder and its radius. To see that as the radius changes, the volume changes in proportion. Be able to comfortably use the volume of a cylinder formula. π is a constant and height, h, is a constant in this task.

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Ryan orders a pizza with a 20 inch diameter and asks for a cheese stuff crust along its border . The cheese filled border measur

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-9+n=13 ??????????????

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3 years ago

A novelty store sells 8 comic books for every 3 action figures. On Monday, they sold 32 comic books. On Tuesday, they sold 18 ac

Shkiper50 [21]

Answer:

6 action figures

Step-by-step explanation:

8 Comic books for every 3 action figures;

Ratio = 8:3

Monday =

32 Comic books: X

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6 0

3 years ago

Read 2 more answers

A film distribution manager calculates that 7% of the films released are flops. If the manager is correct, what is the probabili

diamong [38]

Answer:

0.9909 = 99.09% probability that the proportion of flops in a sample of 404 released films would be greater than 4%

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$p = 0.07, n = 404$ . So

$\mu = E(X) = np = 404*0.07 = 28.28$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{404*0.07*0.93} = 5.13$

If the manager is correct, what is the probability that the proportion of flops in a sample of 404 released films would be greater than 4%?

This is the pvlaue of Z when X = 0.04*404 = 16.16. So

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

$Z = \frac{16.16 - 28.28}{5.13}$

$Z = -2.36$

$Z = -2.36$ has a pvalue of 0.0091

1 - 0.0091 = 0.9909

0.9909 = 99.09% probability that the proportion of flops in a sample of 404 released films would be greater than 4%

7 0

4 years ago