Answer: 135 days
Step-by-step explanation:
Since the amount of time it takes her to arrive is normally distributed, then according to the central limit theorem,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 21 minutes
σ = 3.5 minutes
the probability that her commute would be between 19 and 26 minutes is expressed as
P(19 ≤ x ≤ 26)
For (19 ≤ x),
z = (19 - 21)/3.5 = - 0.57
Looking at the normal distribution table, the probability corresponding to the z score is 0.28
For (x ≤ 26),
z = (26 - 21)/3.5 = 1.43
Looking at the normal distribution table, the probability corresponding to the z score is 0.92
Therefore,
P(19 ≤ x ≤ 26) = 0.92 - 28 = 0.64
The number of times that her commute would be between 19 and 26 minutes is
0.64 × 211 = 135 days
FAXT
like i started today but i can't stoppppp
Answer:
f(15) = 242
Step-by-step explanation:
Step 1: Define
f(x) = 2(4 - x)²
f(15) = x = 15
Step 2: Substitute and Evaluate
f(15) = 2(4 - 15)²
f(15) = 2(-11)²
f(15) = 2(121)
f(15) = 242
Answer:
Option C. 
Step-by-step explanation:
we know that
The volume of a cylinder is equal to

we have


substitute


Split
into two component segments,
and
, parameterized by


respectively, with
, where
.
We have


where 
so the line integral becomes


