Answer:
C
Step-by-step explanation:
y-3=5(x-2) (rearrange this to be in slope- intercept from) (add 3 to both sides)
y = 5(x-2) + 3 (distribute parentheses)
y = x(5) - 2(5) + 3
y = 5x -10 + 3
y = 5x - 7
recall that for a line with gradient m, the gradient of the perpendicular line will be - (1/m)
hence in our case, our gradient of the original line is 5, hence the gradient of the perpendicular line is -1/5
From the choices, the only one that is consistent with this is C
i.e choice C:
5y + x = 25
5y = -x + 25
y = -(1/5) x + 5 ===> gradient of -1/5
An undefined slope is NOT the same as y= 0, since it is a vertical line. The x-coordinate never changes even if the y-coordinate is different. There is no run.
Answer:
She can buy six bulbs of garlic
Step-by-step explanation:
Well you know that each bulb of garlic is 2 dollars. You also know that Stephanie has 12 dollars. In order to solve this you need to take the amount of money Stephanie has and divide it by the price per bulb in order to find out how many bulbs she can buy.
12/2 = 6
She can buy 6 bulbs of garlic
Needles→

Mt....

Puako

Death Valley

Mojave

Hilo

NB: values with 10 is to the first power.
Answer:
The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).
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 zscore that has a pvalue of
.
For this problem, we have that:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).