Using the normal distribution, the probabilities are given as follows:
a. 0.4602 = 46.02%.
b. 0.281 = 28.1%.
<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
.
The parameters are given as follows:

Item a:
The probability is <u>one subtracted by the p-value of Z when X = 984</u>, hence:


Z = 0.1
Z = 0.1 has a p-value of 0.5398.
1 - 0.5398 = 0.4602.
Item b:

By the Central Limit Theorem:


Z = 0.58
Z = 0.58 has a p-value of 0.7190.
1 - 0.719 = 0.281.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
line AB and line CD are parallel
line AB and line EF are perpendicular
Step-by-step explanation:
it is the third option
So the initial question is x / 113 = 3.14 (we're keeping it a smaller decimal for now)
What you should do first is multiply both sides by 113
Your answer should be x = 354.82
Round this up to x = 355. <-- This is why we only used 3.14 at the start
Now check your work:
x / 113 = ?
355 / 113 = 3.14159265358979... which essentially is pi
X = -2 would not be a function because if you graph it, it is a vertical line.
Y = 2 is a function because when graphed, it is shown as a horizontal line and passes the vertical line test.
Answer:
im pretty sure its 56.25 cus 45= 80% of 56.25
Step-by-step explanation: