Answer: y=5.25x+12.50
Step-by-step explanation:
The original 12.50 is how much she pays each month regardless of rented movies, it is the 0 value and doesn't change. Each rented movie costs 5.25 (17.75-12.50=5.25) and that value would be multiplied by the amount of movies she rents that month, and then added onto the original base value.
Answer: m = 0
Step-by-step explanation:
Answer:
the length of the pole is 9.90 feet.
Step-by-step explanation:
41 years old as 47 take away 6 makes 41
Answer:
0.0918
Step-by-step explanation:
We know that the average amount of money spent on entertainment is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.
The mean and standard deviation of average spending of sample size 25 are
μxbar=μ=95.25
σxbar=σ/√n=27.32/√25=27.32/5=5.464.
So, the average spending of a sample of 25 randomly-selected professors is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.
The z-score associated with average spending $102.5
Z=[Xbar-μxbar]/σxbar
Z=[102.5-95.25]/5.464
Z=7.25/5.464
Z=1.3269=1.33
We have to find P(Xbar>102.5).
P(Xbar>102.5)=P(Z>1.33)
P(Xbar>102.5)=P(0<Z<∞)-P(0<Z<1.33)
P(Xbar>102.5)=0.5-0.4082
P(Xbar>102.5)=0.0918.
Thus, the probability that the average spending of a sample of 25 randomly-selected professors will exceed $102.5 is 0.0918.
