Smaller angle = 41°
Larger angle = 139°
Step-by-step explanation:
(7x - 1) + (2x + 1) = 180
7x + 2x - 1 + 1 = 180
9x = 180
x = 20
- The measure of the smaller angle is
2x + 1
= 2(20) + 1
= 40 + 1
<u>= 41°</u>
- The measure of the larger angle is
7x - 1
= 7(20) - 1
= 140 - 1
<u>= 139°</u>
Answer:
b. The system is not in echelon form because the system is not organized in descending "stair step" pattern so that the index of the leading variables increases from the top to bottom.
Step-by-step explanation:
The given linear system has a equation which is not in echelon form. The echelon is a system which divides the data into rigid hierarchal groups. The given linear equation in not in echelon form as the leading variables are increased from top to bottom indicating descending stair step pattern.
Check the picture below
area of a triangle is 1/2 bh
.29 is bigger.
If you convert 1/5 to a decimal (or simply solve it!) you will end up with .2 or .20
Which is obviously smaller than .29
Answer:
a. Fred's margin of error is larger than Ted's.
Step-by-step explanation:
Margin of error of a confidence interval:

In which z is related to the confidence level(the higher the confidence level the larger the value of z)
is the standard deviation of the population and n is the size of the sample.
From this, we have that:
A higher confidence level leads to a larger margin of error.
A larger sample size leads to a smaller margin of error.
In this question:
Same confidence level.
Fred's sample is smaller, so his margin of error will be larger.
The correct answer is given by option a.