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Jet001 [13]
2 years ago
15

Please answer this question, I am timed. Thank you! :)

Mathematics
2 answers:
castortr0y [4]2 years ago
8 0
The correct answer is the second one. (B) because the perimeter is when all outside numbers are added up. So, the top and bottom of the rectangle it 5 units each. The height is 3 units each. If you add all of these numbers up, you get 16. (5+5+3+3)

I hope this helps!
frutty [35]2 years ago
4 0
The perimeter of the rectangle is 16
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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
1 year ago
How many two- fifths are in four-fifths
gulaghasi [49]
2 two-fifths are in four-fifths.

Hope this helps and have a great day!!!

If you need help just comment on my answer.
5 0
3 years ago
What percent of all children like the Simpsons? Round your answer to the nearest tenth of a percent. Type a numerical answer
juin [17]
90/300

To make it simpler, make it,out of 100 by dividing it all by 3. This will make it:

30/100

Therefore it is 30%
3 0
3 years ago
Read 2 more answers
Make q the subject of the formula 2(q+p)=1+5q
Semenov [28]

Answer:

Step-by-step explanation:

2q + 2p = 1 + 5q

-3q + 2p = 1

-3q = 1 - 2p

3q = 2p - 1

q = (2p -1)/3

3 0
3 years ago
Aiden is grocery shopping and wants to know which packages are cheapest. He is
arlik [135]

Answer:Bottle B

Step-by-step explanation:

Given

Bottle A has 175 fluid ounce and cost \$19.25

So it cost \frac{175}{19.25}=9.09\ \text{ounce per}\ \$

Bottle B has 138 fluid ounce and cost \$8.97

So it cost \frac{138}{8.97}=15.38\ \text{ounce per}\ \$

Bottle C has 100 fluid ounce and cost \$8.0

So it cost \frac{100}{8}=12.5\ \text{ounce per}\ \$

Bottle D has 72 fluid ounce and cost \$7.56

So it cost \frac{72}{7.56}=9.52\ \text{ounce per}\ \$

So, Bottle B delivers more ounces at same price

7 0
3 years ago
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