Answer:
2x+h
Step-by-step explanation:
f(x+h) means that wherever there's an x in the function f(x) we plug in a x+h
we have
(x+h)²+9
Let's start with the numerator
(x+h)²+9-(x²+9)
Distribute the exponent
x²+2xh+h²+9-x²-9
Which gives us
2xh+h²
Divide the whole thing by h to give us
2x+h
Answer:
a) 30.726m/s and b) 5.5549s
Step-by-step explanation:
a.) What was Chris Huber’s speed in meters per second(m/s)?
Given the distance and time, the formula to obtain the speed is
.
Applying this to our problem we have that
.
So, Chris Huber’s speed in meters per second(m/s) was 30.726m/s.
b) What was Whittingham’s time through the 200 m?
In a) we stated that
. This formula implies that
.
First, observer that
.
Then, Sam Whittingham speed was equal to Chris Huber’s speed plus 5.2777 m/s. So, 
Then, applying 1) we have that

So, Sam Whittingham’s time through the 200 m was 5.5549s.
Answer:
0.762 = 76.2% probability that this shipment is accepted
Step-by-step explanation:
For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
17 randomly selected pens
This means that 
(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)
This is
when
. So






0.762 = 76.2% probability that this shipment is accepted
Answer:
4 weeks and 2 days
Step-by-step explanation:
There are 7 days in one week.
To convert 30 days into weeks and days, divide 30 by 7.
The biggest number you can divide it by is 4 [without going over 30]
7 x 4 = 28.
30 - 28 = 2.
So 30 days = 4 weeks and 2 days.
I hope this helps! :)
The is (5000,59) and you can check this by doing this -0.004(5000)+79