Answer:
cosA = 
Step-by-step explanation:
cosA = 
= 
=
Answer:
Z score associated with sleeping 503 minutes = 0 minutes
Step-by-step explanation:
Given values of sleep per night for adults:
Mean value X = 503
Standard deviation σ = s
FInd:
Z score associated with sleeping 503 minutes
Computation:
⇒ P[X = 503]
⇒ P[(x - X) / σ] = [503 - 503] / s
⇒ Z score value = [0] / s
⇒ Z score value = 0
Z score associated with sleeping 503 minutes = 0 minutes
Answer:
n = 5.75
Step-by-step explanation:
original equation
n - 31/4 = 2
multiply everything by 4
n * 4 - 31/4 * 4 = 2 * 4
simplify
4n - 31 = 8
add 31 to both sides
4n - 31 + 31 = 8 + -31
simplify
4n = -23
divide both sides by 4
4n/4 = -23/4
simplify
n = 5.75
The straight lines mean absolute value
so x = -16 and x = 16
The difference would be 37
