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Margaret [11]
3 years ago
10

PLEASE HELP ME THANK YOU

Mathematics
1 answer:
Ivenika [448]3 years ago
4 0

I seem to have read the question wrong.

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Find the measure of the indicated angle below
Norma-Jean [14]

Answer:

The measure of x is 70\°

Step-by-step explanation:

we know that

The formula to calculate the sum of the internal angles of a polygon is equal to

S=(n-2)*180\°

where

n is the number of sides

In this problem we have

n=9\ sides

substitute

S=(9-2)*180\°=1,260\°

Find the measure of each internal angle

Divide the sum of the internal angles by the number of sides

1,260\°/9=140\°

The value of x is half the measure of internal angle

so

x=140\°/2=70\°

8 0
3 years ago
The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the
Degger [83]

Using the normal distribution, we have that:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).
  • 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.
  • 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem, the parameters are given as follows:

\mu = 57, \sigma = 22, n = 17, s = \frac{22}{\sqrt{17}} = 5.3358

Hence:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).

The probabilities are the <u>p-value of Z when X = 58 subtracted by the p-value of Z when X = 55</u>, hence, for a single movie:

X = 58:

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

Z = \frac{58 - 57}{22}

Z = 0.05.

Z = 0.05 has a p-value of 0.5199.

X = 55:

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

Z = \frac{55 - 57}{22}

Z = -0.1.

Z = -0.1 has a p-value of 0.4602.

0.5199 - 0.4602 = 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.

For the sample of 17 movies, we have that:

X = 58:

Z = \frac{X - \mu}{s}

Z = \frac{58 - 57}{5.3358}

Z = 0.19.

Z = 0.19 has a p-value of 0.5753.

X = 55:

Z = \frac{X - \mu}{s}

Z = \frac{55 - 57}{5.3358}

Z = -0.38.

Z = -0.38 has a p-value of 0.3520.

0.5753 - 0.3520 = 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
2 years ago
I NEEEEEEEEEEED HELP!
lubasha [3.4K]

Answer:

c

Step-by-step explanation:

Already took this test

7 0
3 years ago
Read 2 more answers
Simplify. (4w + 3) – 2w + 7
maks197457 [2]

Answer:

2w+10

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
53 - 21 + 62 + (25 ÷ 5)
Alisiya [41]

Answer:

48

Step-by-step explanation:

So your equation is: 5y3 - 21 + 6y2 + (25 ÷ 5) and y = 2.

Evaluate for y=2

5(23)−21+6(22)+

25

5

5(23)−21+6(22)+

25

5

=48.

So the answer is 48.

4 0
3 years ago
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