Answer:
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Explanation:
Answer:
The 2 combinations of candies and nuts that could be in the trail mix are:
6 candies and 21 nuts Option B
8 candies and 28 nuts Option D
Step-by-step explanation:
Step 1: write the ratio
Nuts : Candies = 7 : 2
Step 2: Write the ratio of each option and simplify it to the lowest term
Option A: Candies = 2 and Nuts = 9, ratio of Nuts to candies = 9:2 wrong
Option B: Candies = 6 and Nuts = 21, ratio of Nuts to candies = 21:6
3 is a common factor
21: 6 = 7: 2 Correct
Option C: Candies = 7 and Nuts = 9, ratio of Nuts to candies = 9:7 wrong
Option D: Candies = 8 and Nuts = 28, ratio of Nuts to candies = 28:8
4 is a common factor
28: 8 = 7: 2 Correct
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Answer:
The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4500 - 98.7 = 4401.3 gallons
The upper end of the interval is the sample mean added to M. So it is 4500 + 98.7 = 4598.7 gallons
The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.
Answer:
Parallel lines are straight lines that don't ever touch. Think of a railroad track.
Perpendicular lines are lines that meet and make a 90 degree angle