Answer:
Here,
Angle TUV + Angle NUV=TUV
By substituting the provided or given value ls in the question we obtain,
1+38x+66 Degree= 105x
1+66 Degree= 67x
67 Degree= 67x
1 Degree = x
x = 1 Degree
Therefore
Angle TUN=1+38x=39
Angle NUV=66 Degree
Therefore
1+38x+66 Degree= 105x
=39 Degree+66 Degree= 105 Degree
Therefore
Angle TUV=105 Degree
So, its 18.5 per person
<span><span>
80/5=16
18.5-16=2.5
They would each save 2.5 dollars each.</span></span>
Using the normal distribution, we have that:
- The distribution of X is .
- The distribution of is .
- 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 and standard deviation is given by:
- 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 .
In this problem, the parameters are given as follows:
Hence:
- The distribution of X is .
- The distribution of is .
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 = 0.05.
Z = 0.05 has a p-value of 0.5199.
X = 55:
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 = 0.19.
Z = 0.19 has a p-value of 0.5753.
X = 55:
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
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It proves The function f(x) is an arithmetic sequence.
Awnser:69
I had this question a few minutes ago, that’s funny