Okay so divide 56 by 14 and so x = 4
Using the normal distribution, there is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.
<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
.
For this problem, these parameters are given as follows:

A sum of 7100 is equivalent to a sample mean of 7100/40 = 177.5, which means that the probability is the <u>p-value of Z when X = 177.5</u>, hence:

By the Central Limit Theorem:


Z = -0.79
Z = -0.79 has a p-value of 0.2148.
There is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.
More can be learned about the normal distribution at brainly.com/question/28135235
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Answer:
1/5
Step-by-step explanation:
Divide 45 by 9. = 5. = 1/5
Answer:
16 feet tall
Step-by-step explanation:
Multiply 4 by 4
Answer:
Step-by-step explanation:
3 (x – 4) = 2x + 6 Remove the brackets
3x - 12 = 2x + 6 Add 12 to both sides.
3x - 12 + 12 = 2x + 6 + 12 Combine
3x = 2x + 18 Subtract 2x from both sides
3x-2x = 2x-2x + 18 Combine
x = 18