Answer:
A: (3^2)*2
B: (2^3)*3
C: 2*19
D: (3^2)*9
Step-by-step explanation:
We have:
A) 18= 3*3*2= (3^2)*2
B) 24=2*2*2*3=(2^3)*3
C) 38 = 2*19
D) 81 =3*3*9=(3^2)*9
Answer:
5/4 is your slope.
Step-by-step explanation:
5-0= 5
4-0= 4
slope is chang in y over change in x. Your first point is (0,0) and you second is (4,5).
Answer: x= 5
Step-by-step explanation: If angles 1 and 2 are supplementary, that means they add up to 180. So if angle 1 is 87, angle 2 has to be 180-87=93. Then the equation would be 15x+18=93. Subtract 18 on both sides. 15x=75. Divide by 15 and your answer is 5.
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.
The answer to this question is 5.2
