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
It must be noted that the area of the square is calculated through the equation,
A = s²
where A is area and s is the measure of one side of the square.
To determine the measure of one side of the square, we simply have to get the square root of the area,
s = √A
Substituting the known value,
s = √75 ft² = 5√3 ft ≈ 8.66 cm
Thus, the answer to this question is approximately 8.66 cm.
Answer: OPTION D.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
You know that the segment GH is on this line:

Solving for "y", you get:

So you can identify that:

The segment FE is on this line:

Solving for "y", you get:

Then you can identify that:

As you can notice, the lines have the same slope of
. This means that they are parallel.
Answer:
16 minutes
Step-by-step explanation:
Because the tank already holds 5 gallons of water, you only need to find the number of minutes to fill 4 gallons of water.
Because it fills at a rate of 1/4 gallons a minute, it takes 4 minutes per gallon of water.
Since we are dealing with 4 gallons of water to be filled, we multiply 4 · 4 to get the number of minutes.
4 · 4 = 16
16 minutes