Answer:
d) 
Step-by-step explanation:
b) 
This expression is not equivalent, as the original expression, 
, has 9 multiplied to 
instead of y. You can interchange values like this when it comes to addition, but not multiplication.
c) 
This expression is also not equivalent. After opening up the parentheses, it would again result in y being multiplied to .
d)
This expression is equivalent, as 9 and are still being multiplied together and y is added to the product. We can actually rearrange this to look like the original expression:
I hope this helps!
Answer 3,5,7
Step-by-step explanation:
The answer is B - The number or value being raised to a power
plz thank me, it motivates me to answer more of your questions :)
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.
