Answer:
Step-by-step explanation:
we know that
The surface area of a cylinder is equal to
we have
----> the radius is half the diameter
assume
substitute
To calculate percentage increase, use the following method:
First, Work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number
Now, divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.
Also, If your answer is a negative number it is a percentage decrease.
To calculate percentage decrease, use this method:
First, Work out the difference (decrease) between the two numbers you are comparing.
Decrease = Original Number - New Number
Then, divide the decrease by the original number and multiply the answer by 100.
% Decrease = Decrease ÷ Original Number × 100
Also, If your answer is a negative number then it is a percentage increase.
<span>If you wish to calculate the percentage increase or decrease of several numbers then I recommend using the first formula. Positive values indicate a percentage increase whereas negative values indicate percentage decrease.</span>
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:
C
Step-by-step explanation:
She earns $3,567 and spends $2,895. That means that $2,895 is taken away from how much she earns each month. Subtraction is the correct operation, cancelling out choices B and D
$3,567 - $2,895
Now, you need to figure out the answer to the above problem. Choice C is your answer.
$3,567 - $2,895 = $672
Answer:
45m
Step-by-step explanation:
1. Multiply the two sides.
2. Divide it by 3 (or multiply by 1/3)
3. The answer is your area.
