Answer:
p = 35
Step-by-step explanation:
Complementary angles sum to 90°
Sum the 2 given angles and equate to 90, that is
20 + 2p = 90 ( subtract 20 from both sides )
2p = 70 ( divide both sides by 2 )
p = 35
Answer:
A sample of 499 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 zscore that has a pvalue of
.
The margin of error is given by:

In this question, we have that:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.03
We need a sample of n, which is found when
. So






Rounding up
A sample of 499 is needed.
Answer:
positive
Step-by-step explanation:
negative slopes go from right to left; this line goes from left to right
0; the line isn't completely horizontal
undefined; the line isn't completely vertical
Answer:
The answer is -3.4. If you have to round it, round it down to 3.
Step-by-step explanation:
Answer:
g(-5) = 15
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
g(-5) = -2(-5) +5 = 10 +5
g(-5) = 15