Answer: 0.6065
Step-by-step explanation:
Given : The machine's output is normally distributed with


Let x be the random variable that represents the output of machine .
z-score : 
For x= 21 ounces

For x= 28 ounces

Using the standard normal distribution table , we have
The p-value : 

Hence, the probability of filling a cup between 21 and 28 ounces= 0.6065
8000-2600=5400
5400/12=450
monthly pavement =450
12x450+2600=8000
Answer:
p(not 5) = 5/6
Step-by-step explanation:
The probability that we roll a 5 is 1/6. So, the probability we don't roll a five is simple 1 minus that:

And that's your answer.
Answer:
2.5 miles
Step-by-step explanation:
Answer:
(x + 5)(3x + 5)
Step-by-step explanation:
(x - 5)(x + 8) + (x + 5)(2x - 3) ← factor out (x + 5) from each term
= (x + 5)(x + 8 + 2x - 3)
= (x + 5)(3x + 5)