Let X = the number of hours the server works.
The equation for the amount Nick spends is 15x + 47
The next job pays 14x + 54
Set the equations to equal and solve for x:
15x + 47 = 14x +54
Subtract 14x from both sides:
X + 47 = 54
Subtract 47 from both sides:
X = 7
Now replace x with 7 in the second equation:
14x + 54 = 14(7) + 54 = 98 +54 = 152
The job would pay $152 and be 7 hours long.
Answer:
Set B.
Step-by-step explanation:
Not A or C: as x goes up, y goes down. :(
D is correct, but not the best because B's is more clear, as when visualizing the graphs, B's makes a perfect line, as where in D, it is bumpier.
The answer should be 85 books per hour so 170 two hours
Answer:
A sample size of 752 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the z-score that has a p-value of
.
The margin of error is of:

90% confidence level
So
, z is the value of Z that has a p-value of
, so
.
If the candidate wants a 3% margin of error at a 90% confidence level, what size of sample is needed?
We have no estimate of the proportion, so we use
.
The sample size is n for which M = 0.03. So






Rounding up:
A sample size of 752 is needed.