Answer:
(x + 3) = 9/2
Step-by-step explanation:
Here, we want to write an equation to find the length of the rectangle
Mathematically;
Area of rectangle = length * breadth
15 3/10 = (x + 3) * 3 2/5
(x + 3) = 15 3/10 divided by 3 2/5
(x + 3) = 153/10 * 5/17
(x + 3) = 9/2
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.
1.3
You subtract 3.2 from 1.9 ; which gives you 1.3
I think the answer is b i've never learned this sorry :(
Answer:
7⁷
Step-by-step explanation:
a^(1/7) = 7
a = 7⁷
