Answer:
64/72
Step-by-step explanation:
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation
Calculate z-scores for the following random variable and determine their probabilities from standard tables.
x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088
x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912
x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587
x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413
Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36
Answer: 27
Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36
Answer: 27
Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78
Answer: 204
Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150
Answer: 150
Answer: 2
Step-by-step explanation: (2x-4)
Given:
The function is:
To find:
The result of the operation 
.
Solution:
If 
, then the graph of f(x) is reflected across the x-axis to get the graph of g(x).
We have,
The given operation is:
So, it will result in a reflection across the x-axis.
Therefore, the correct option is A.
Answer:
x = 
Step-by-step explanation:
Add 8 to both sides;
4|4x - 3| = 4 4|4x - 3| = -4
Divide both sides by 4;
4x - 3 = 1 4x - 3 = -1
Add 3 to both sides;
4x = 4 4x = 2
Divide both sides by 4;
x = 1 x = 
