Answer:
Complement: 118°. Supplement: 28°
Step-by-step explanation:
To determine the supplement, subtract the given angle from 180.
180 - 62 = 118
To determine the complement, subtract the given angle from 90.
90 - 62 = 28
She worked 9 hours at baby-sitting and 6 hours at her parents store.
Step-by-step explanation:
Let,
Baby-sitting hours = x
Hours at parents store = y
Total hours = 15
Amount earned = $93
According to given statement;
x+y=15 Eqn 1
5x+8y=93 Eqn 2
Multiplying Eqn 1 by 5;

Subtracting Eqn 3 from Eqn 2;

Dividing both sides by 3;

Putting y=6 in Eqn 1

She worked 9 hours at baby-sitting and 6 hours at her parents store.
Keywords: linear equations, subtraction
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Answer:
They need to survey 4145 residents.
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 given by:

99% confidence level
So
, z is the value of Z that has a p-value of
, so
.
At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.02 of the true proportion?
This is n for which
. As we have no estimate for the proportion, we use
. So






Rounding up:
They need to survey 4145 residents.
Answer:
4 and 5 can make this true.