Answer: complementary angles have 90 degrees therefore you have to do the following:
M<4 : 49
90-49=41
M<3=41
Step-by-step explanation:
Answer:
105 cm squared
First find the area of the rectangle
length x width = area
6 x 15 =90
Now find area of triangle
subtract 11-6 and 15-9 to get the dimensions for the triangle
5 and 6 are the dimensions
Length x height / 2 = area of triangle
5 x 6 = 30
30 / 2 = 15
add the areas together
90 + 15 = 105
105 cm squared
hope this helps
Step-by-step explanation:
Answer: D
<u>Step-by-step explanation:</u>
Let x represent the score on her next test


78 + 92 + 88 + 89 + x = 5(90)
347 + x = 450
<u> -347 </u> <u>-347 </u>
x = 103
Answer:
The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
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
.
Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.
This means that 
90% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
A and 90-a is the measure of the two angles
a=90-a-6
2a=84
a=42
42° and 48°