4) fifteen less than y is 32
15 - y= 32
15 - (-17)= 32
two negatives become positive so 15+17= 32
by unitary method the exact answer is correct (2,920 glasses).
given, glasses of water each day = 8
therefore, by unitary method :
glasses of water in 365 day = 
hence the total glasses of water in 365 days = 2,920
learn more about unitary method here:
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Tan is opposite÷ adjacent.
So tan(d) = 7÷24. It is already in the simplest form.
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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
