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Scilla [17]
3 years ago
9

Two numbers that multiply to 120 and add to 29

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0
10*12=120+29=149 hoped i helped
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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
2 years ago
2) Jim get $200 for 50 sales, $350 for 70 sales, and $500 for<br> 85 sales. This is called
VladimirAG [237]

Answer:

salary based on how many sales are made

Step-by-step explanation:

8 0
3 years ago
Please help If you can! I'm doing Math! and I need some help!
Kisachek [45]

Answer:

x ≈ 370

Step-by-step explanation:

3 0
3 years ago
the ratio of the number of galleons to the number of galleys in the Spanish armada was 5:1 what missing information could be use
Ahat [919]
Either the amount of galleons or the galleys.

if given the amount of galleons, you can find the amount of galleys by dividing the number of given galleons by 5.

if given the amount of galleys, you can find the amount of galleons by multiplying the number of given galleys by 5.
7 0
3 years ago
Read 2 more answers
The radio of boys to girls in a school is 4:5 there are 80 girl. How many boys are there?
love history [14]

Answer:

64=boys

Step-by-step explanation:

Boys to girls

4:5

80=girls

80÷5=16×4=64

6 0
3 years ago
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