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.
Answer:
The opposite of - 5 would be 5
Step-by-step explanation:
Because opposite number only means a number with an oposite sign
Step-by-step explanation:
x²-3=0
x²=3
x=√3
<h2>stay safe healthy and happy.</h2>
Answer: c.) Sales tax varies by state, so you can travel to a state with a lower tax rate and make your purchase there.
Step-by-step explanation:
Sales tax rates vary significantly from state to state, so you can save money if you know what state has a lower sales tax rate, so you can travel to that state and make your purchase there.
There is a list of states with lower sales tax rates:
1. Alaska 1.43% Sales tax rates
2. Hawaii 4.41% Sales tax rates
3. Wyoming 5.36% Sales tax rates
4. Wisconsin 5.44% Sales tax rates
5. Maine 5.50% Sales tax rates
6. Virginia 5.65% Sales tax rates
<h2><em>Spymore</em></h2>
It isn't because, it isn't consistent, and it doesn't follow any of the other answer choices. :)
