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:
Green ball. $11
Step-by-step explanation:
Let's see.
15 balls. 7 are red. 6 are green. rest are yellow. That means there are 2 yellow balls.
Since there are more greens than yellows, you have a better chance of getting a green. That means you have a higher chance of getting $11
All you need to do is multiply the amount of boys by the distance each boy runs.
9x3/5=5.4 miles
The boys run a combined distance of 5.4 miles.
Answer:
(B)1005 feet
Step-by-step explanation:
In the attached diagram

|AG|=1400 feet
Distance from point C to point G=|CG|
Using Trigonometry in Triangle ACG

Using Trigonometry in Triangle BCG'

Therefore, the distance from balloon B from balloon A
=CG+CG'
=808+197
=1005 feet
Hello!
Ok so we have a tire 4.5ft in diameter. We want to know how many revolutions it makes in 170ft
So we have s=r*theta where s is arc length or distance traveled and r is the radius and theta is the angle in radians that it travels through, and this is what we want to know. We are given the rest so we have;
170ft=4.5ft/2 * theta so solving for theta we get
theta=340ft/4.5ft = 75.56 radians so now we just convert radians to revolutions and we know pi=3.14rad and 2pi is one rev and to convert to degrees its radians*( 360/2pi)=deg and this reduces to 180/pi so we have;
75.56radians * 180/pi = 4329 degrees travelled through so to get revolutions we now just divide this by 360deg for total revs. So we have;
4329deg/360deg=12 revolutions
Hope this helps! Any questions please ask! Thank you so much!