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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You could do 3 1/2
hope that helped!
A fairly strong positive correlation.
To find the area of a rectangle, we multiply the Base by the Height. In this case the: Base = AB and Height = BC
So to get the area, we multiply AB by BC. (and we know that <em>BC = 5x+5/x+3</em> <em>and BC = [3x+9/2x-4)</em>
So we would do:
x 
Note: When multiplying fractions together, we multiply the numerator by the numerator, and the denominator by the denominator.
For example 
x 
= 
Answer: x = 
= 
[<em>Note: </em><em>we are able to factorise some brackets to make the sum easier. For example we can factor out the 5 in (5x+5) to get: 5(x+1) ]</em>
Now lets simplify by multiplying the 5 and 3 together in the numerator:
= 
If you notice, there is a (x+3) in numerator and the denominator. This means that we can cancel out the (x+3), to get the most simplified expression for the area:
= 
Final Simplified Answer: which is the last option
