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
Factor each
4k=2*2*k
18k⁴=2*3*3*k*k*k*k
12=2*2*3
GCF=2
the greatest common factor is 2
Step-by-step explanation:
I'll call the boxes at the bottom 1 through 6 from left to right.
1. The lines intersect
Answer: 2, 6
2. The lines are parallel
Answer: 3, 4
3. There is only one line
Answer: 1, 5
Answer:
1/2
Step-by-step explanation:
it's positive so its absolute value is the same just like a positive whole number
note: the absolute value of a negative fraction is tricky, but that's not important here
The answer would be 6 because it has no variable. The formula for a quadratic function is f(x)=ax^2 +bx+ c, c which in this case is the constant because it has no variable.