Using the normal distribution, it is found that:
1. 85% of NBA players are taller than Greg.
2. 15% are shorter.
3. A height of 6'11'' would be needed.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- In inches, considering that a feet has 12 inches, the mean is of .
- The standard deviation is of .
- Greg is 6'3'', that is, X = 6 x 12 + 3 = 75.
Item 1:
The proportion is <u>one subtracted by the p-value of Z</u>, hence:
has a p-value of 0.15
1 - 0.15 = 0.85.
85% of NBA players are taller than Greg.
Item 2:
100 - 85 = 15% are shorter.
Item 3:
This is X when Z has a p-value of 1 - 0.025 = 0.975, so X when Z = 1.96.
83 = 6 x 12 + 11.
A height of 6'11'' would be needed.
More can be learned about the normal distribution at brainly.com/question/24663213
Answer: D
Explanation:
Base= 4 x 12= 48
Triangles= 3 x 4= 12
Side of the prism= 3 x 12= 36
3^2 + 4^2=
9+16= √25 = 5
Add the area of each face of the prism= 48+ 12+ 36+ 60 =156 cm^2
Answer:
B
Step-by-step explanation:
Answer:
Length and Width = 10ft
Height = 5ft
Surface Area = 300 square feet
Step-by-step explanation:
Given
-- Volume
Let:
Volume (V) is calculated as:
Substitute 500 for V
Make H the subject
The tank has no top. So, the surface area (S) is:
Substitute 500/LW for H
Differentiate with respect to L and to W
and
Equate both to get the critical value
and
and
and
and
Make L the subject in
Substitute for L in
Cross Multiply
Divide both sides by 1000
Take cube roots of both sides
Substitute 10 for W in
Recall that:
So, the dimensions are:
and
The surface area is:
56.25% as a decimal is 0.5625
0.5626 is equal to 5625/10000, which can be simplified to 9/16
This is because the common factor of 5625 and 10000 is 625. We divide the numerator and denominator by 625 to achieve 9/16.