You find the x coordinates using x = -b/2a = -6/2(-1) = 3
Substitute 3 in the equation and find y
y = -(3^2) + 6(3) - 12 = -9 + 18 - 12 = -3
Vertex (3,-3)
Answer:
At least 547 records need to be studied.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
Z is the zscore that has a pvalue of
.
And the margin of error is:

95% confidence interval
So
, z is the value of Z that has a pvalue of
, so
.
In this problem, we have that:






At least 547 records need to be studied.
Answer:
Option B. 
Step-by-step explanation:
we have

Solve for w
That means ----> isolate the variable w
Multiply by 5 both sides to remove the fraction

subtract 8 both sides


Rewrite

Answer:
15 hours
Step-by-step explanation:
is the number of hours that Liam volunteered in the first month
The next month he volunteered
times the time he volunteered the first month.
Total time he volunteered in the two months is 40 hours so

Time he volunteered in the first month is 15 hours.
23 / 50 = 0.46
0.46 converted to a percent is 46%