Answer:
Step-by-step explanation:
x, height of men is N(69, 2.8)
Sample size n =150
Hence sample std dev = 
Hence Z score = 
A) Prob that a random man from 150 can fit without bending
= P(X<78) = P(Z<3.214)=1.0000
B) n =75
Sample std dev = 
P(X bar <72) = P(Z<9.28) = 1.00
C) Prob of B is more relevent because average male passengers would be more relevant than a single person
(D) The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height.
Answer:
r=8
Step-by-step explanation:
Because 16 divided by 2 is 8
we are given
where
y is average gas mileage in miles per gallon
x is speed in miles per hour
we have to find average gas mileage at a speed of 60 miles per hour
so, we have
now, we can plug it and find y
we get
so,
the best approximate for the average gas mileage at a speed of 60 miles per hour is 30.7 mi/gal...........Answer
Answer:
B. A(r(t)) = 25πt²
Step-by-step explanation:
Find the completed question below
The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.
Given
A(t) = πr²
r(t) = 5t
We are to evaluate the composite expression A(r(t))
A(r(t)) = A(5t)
To get A(5t), we will replace r in A(t) with 5t and simplify as shown
A(5t) = π(5t)²
A(5t) = π(25t²)
A(5t) = 25πt²
A(r(t)) = 25πt²
Hence the composite expression A(r(t)) is 25πt²
Option B is correct.
Question:
Which expression is equivalent to 144^(3/2)
Answer:
1728
Step-by-step explanation:
The options are not well presented. However, this is the solution to the question.
Given:
144^(3/2)
Required:
Find Equivalent.
We start my making use of the following law of logarithm.
A^(m/n) = (A^m)^1/n
So,
144^(3/2) = (144³)^½
Another law of indices is that
A^½ = √A
So,
144^(3/2) = (144³)^½ = √(144³)
144³ can be expanded as 144 * 144 * 144.
This gives
144^(3/2) = √(144 * 144 * 144)
The square root can then be splitted to
144^(3/2) = √144 * √144 * √144
144^(3/2) = 12 * 12 * 12
144^(3/2) = 1728.
Hence, the equivalent of 144^(3/2) is 1728
