Response:
The outcome is 4144.
Detailed explanation:
We need to determine the peak value of f(x)= 
when 
We can represent as 
Plugging the value of y
= ![3x^{2}(8-x)^{2}[-x+8-x]+3[-x+8-x]](https://tex.z-dn.net/?f=3x%5E%7B2%7D%288-x%29%5E%7B2%7D%5B-x%2B8-x%5D%2B3%5B-x%2B8-x%5D)
= ![3(8-2x)[x^{2}(8-x)^{2}+1]](https://tex.z-dn.net/?f=3%288-2x%29%5Bx%5E%7B2%7D%288-x%29%5E%7B2%7D%2B1%5D)
To find the maximum, we'll set the equation to 0.
Thus, we find:
=> x = 4
And since
> y = 4
Hence, we will substitute these values into the equation to ascertain the maximum value.
=
= 
= 
= 
= 4144
Answer:
The small puzzle took 16% of the total time while the large puzzle took 84%.
Step-by-step explanation:
Answer:
Copy the content and paste it into Google; there's a website with the information I discovered, but it's too lengthy for me to copy here.
<span>A typical door measures about 80 inches tall by 36 inches wide. The width in that pair is 36 inches, so Hank's reasonable estimate for the classroom door width would be 36 inches. Converting inches to feet uses 12 inches = 1 foot, and 36 ÷ 12 = 3, so the width is about 3 feet.</span>
Answer:
3) One-sided, compare two populations
Step-by-step explanation:
A manufacturer intends to evaluate if there is an improvement in the average gas mileage among mid-sized sedans that use a new type of tire, in comparison to those that do not utilize this tire type.
Thus, we have two distinct populations:
Population 1: Mid-sized sedans equipped with the new tire.
Population 2: Mid-sized sedans without the new tire.
Consequently, a comparison is being made between these two populations.
Furthermore, the manufacturer aims to determine if there is an enhancement in average gas mileage. As such, the alternative hypothesis will be right-tailed, indicating it is a one-sided test.
