He worked on the car for 4 hours. 35+7+7+7+7=63.
Remember that cents has a decimal when put in an equation.
250(x + 11) + 250x = 4250
250x + 2750 + 250x = 4250
500x + 2750 = 4250
500x = 1500
x = 3 cents (pencils)
x+11 = 14 cents (pens)
Answer:
18
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

here [ a, b ] = [ 1, 5 ]
f(b) = f(5) = 3 × 5² = 75
f(a) = f(1) = 3 × 1² = 3, hence
average rate of change =
=
= 18
Answer:
The standard deviation for the number of defective parts in the sample is 1.88.
Step-by-step explanation:
The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
68 defective out of 400:
This means that 
From the shipment you take a random sample of 25.
This means that 
Standard deviation for the number of defective parts in the sample:

The standard deviation for the number of defective parts in the sample is 1.88.
Answer:
Step-by-step explanation:
3(m+2)+4(6+m)
3m+6+24+4m
3m+4m+6+24
7m+30
--------------------
5(2p+5)+4(2p-3)
10p+25+8p-12
10p+8p+25-12
18p+13