Answer:
Airspeed in still air: 140 mph
Step-by-step explanation:
Let s represent the speed in still air. Recognize that the distance traveled is the same in either direction.
Also note that SF is north of LA.
Distance to SF from LA = Distance to LA from SF
(s-20)(mph)(4 hr) = (s+20)(mph)(3 hr)
Then:
4s - 80 = 3s + 60 => s = 60 + 80 + 140 (mph)
The airspeed of the plane was 140 mph in still air. With a tail wind, the plane is faster; with a headwind, slower.
FASTmovers will only cost $39.95 because mileage is free. however SPEEDYmovers cost $29.95 the first 75miles will be free but the last 25 will be .35 multiplied by 25 will cost an extra $8.75 add that up with the cost for the truck and you will get $38.70 so SPEEDY movers is the one to get
Answer:
The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.
Step-by-step explanation:
We have to test the hypothesis to prove the claim that the work team can build room additions quicker than the time allotted for by the contract.
The null hypothesis is that the real time used is equal to the contract time. The alternative hypothesis is that the real time is less thant the allotted for by the contract.

The significance level, as a storng evidence is needed, is α=0.01.
The estimated standard deviation is:

As the standard deviation is estimated, we use the t-statistic with (n-1)=15 degrees of freedom.
For a significance level of 0.01, right-tailed test, the critical value of t is t=2.603.
Then, we calculate the t-value for this sample:

As the t-statistic lies in the rejection region, the null hypothesis is rejected. The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.
Answer:
Merton will have about 6,000 more people than Hapville
Step-by-step explanation:
Merton
y = 12,000(1.04)^(30)
y = 12,000(3.24339)
y = 38,920.77012
Hapeville
y = 18,000 + (30 x 500)
y= 18,000 + 15,000
y = 33, 000
Merton - Hapeville
38,920.77012 - 33,000 = 5920.77012
Therefore Merton will have about 6,000 more people than Hapville