Answer:
$77, 456
Step-by-step explanation:
Let P(x) = profit
P(x) = revenue - cost
⇒ P(x) = (952x - 0.68x²) - (-153x + 371450)
⇒ P(x) = -0.68x² + 1105x - 371450
Differentiate P(x)
⇒ P'(x) = -1.36x + 1105
Set P'(x) = 0 and solve for x:
⇒ -1.36x + 1105 = 0
⇒ 1.36x = 1105
⇒ x = 812.5
Therefore, maximum profit when x = 812.5
Substitute x = 812.5 into P(x):
P(812.5) = -0.68(812.5)²+ 1105(812.5) - 371450 = 77456.25
Here is the equation:

30 divided by 50 equals 0.6.
We do this because 30 divided by 50 meams you get the miles per minute.
But there are 60 minutes in an hour, so we multiply 0.6 times 60. This comes out to
Answer:
84
Step-by-step explanation:
Take 12 x 7 then do the answer over 1 to get the total
Answer: (6.304, 6.696)
Step-by-step explanation:
The confidence interval for population mean is given by :-

, where
= Population standard deviation.
n= sample size
= Sample mean
z* = Critical z-value .
Let x denotes the number of hours slept by UCF students.
Given :
n= 400
Two-tailed critical value for 95% confidence interval = 
Then, the 95%confidence interval for the true number of hours slept by UCF students will be :-

Hence, the 95% confidence interval for the true number of hours slept by UCF students : (6.304, 6.696)
3:5 as a fraction is going to be 6/10