Answer:
See attachment
Step-by-step explanation:
We want to graph
on the interval -10 to 10.
Let
be the parent absolute value function.
We can easily graph
, if we use translation.
When the parent function is shifted downwards by 12 units, we obtain the graph of
.
The parent function is a v-shaped graph with vertex at the origin.
We shift the parent function down so that its vertex is now at (0,-12) to get the graph of
.
See attachment for the graph of
on the specified interval.
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
For linear, the y-differences are equal. An example is the total cost of buying a single type of item.
Quadratic - the 2nd differences are equal,. Example: path of a kicked ball
Cubic - the 3rd differences are equal. Example: modeling the shapes of vases or curved designs
Exponential - the y-ratios are equal. Example: growth of bacteria