Answer:
B
Step-by-step explanation:
supplementary angles =180 degrees
180-117=63
Answer: Option D.
Step-by-step explanation:
this is a quadratic equation of the form:
y = ax^2 + bx + c
First, things you must see.
The graph opens up, so we must have thata a is greater than zero, so we can discard the first option.
Second, we can see that the vertex is located in x ≈ 70
The vertex of a quadratic equation is: x = -b/2a
so we have:
70 = -b/2a
let's try our options and see if we can discard other:
B:
-b/2a = 69.9/2 = 34.95
we can discard this option.
C:
-b/2a = 78/2 = 39 we can discard this option.
D:
-b/2a = 69.9/2*0.5 = 69.9
This is the only one that fits, so this is the correct option.
Answer:
D) -4(-1) > 2 is a true statement
Step-by-step explanation:
A) 3 < 0 False
B) -6 > -1 False
C) 0 < -4 False
Answer:
This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.
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
.
The width of the interval is:

In this sample:
Two 90% intervals, with different lenghts. So both have the same values for z an 
Interval A:
9000 viewers.
So the width is

Interval B:
100 viewers
So the width is

Relationship between the widths:

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.
Answer:
4d - 3
Is your simplified expression