Answer: 19
If the floor space of the garage is increased by 50%, that means its area is increased by that amount
So we have 228 + .50(228) = 228 + 114 = 342 ft²
Since the original garage is square-shaped with an area of 228 ft², then we can find the length of each side. If we let x = the side length, then we have:
x² = 228
x = 15.1 ft
Assuming that the garage will remain square-shaped with sides of uniform dimensions, then we can label each side of the expanded garage as 15 + y. We need to solve for y. Again, we use the area formula. Remember that the expanded garage will have an area of 342 ft², we now have:
(y + 15)² = 342
y² + 30y + 225 = 342
y² + 30y - 117 = 0
This can be solved using the Quadratic Formula. Remember that dimensions must always be positive. Once you determine y, then you will know what the length will be of the expanded garage
Answer:
Following is attached the detailed solution of the question.
I hope it will help you a lot!
Step-by-step explanation:
Answer:
Expected Value of M is 50 and the Standard Error of M is 3
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation, also called standard error 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
µ = 50 and σ = 18
For the sample
Mean 50 and standard error 
.
The answer is:
Expected Value of M is 50 and the Standard Error of M is 3
Each bicycle gives a profit of around 60 dollars.
2400/60= 40
The store must sell around 40 bicycles every month.
