Answer:
1) 36
2) 190
3) 72 units
Step-by-step explanation:
1) 2x4 = 8 units area for rectangle
(4-2) x4 /2 = 4 units
6 x 4 = 24 units
8 + 4 + 24 = 36
2) 3 x 10 / 2 = 15 units
5 x 10 /2 = 25 units
15 x 10 = 150 units
150 + 25 + 15 = 190 units
3) 6 x 3 / 2 = 9 units
6 x 9 = 54 units
6 x 3 / 2 = 9 units
9 + 9 + 54 = 18 + 54 = 72 units
Reflection across the x-axis (because there is a negative)
And
Vertical compression (because a is between 0 and 1)
P=2(l + b)
P=2l + 2b
P-2b=2l
P-2b/2=l
C is your answer
From the given mean and margin of error, the 99% confidence interval for the mean amount of money spent on lunch per week for all students is:
[$19.5, $22.5].
<h3>How to calculate a confidence interval given the sample mean and the margin of error?</h3>
The confidence interval is given by the sample mean plus/minus the margin of error, hence:
- The lower bound is the sample mean subtracted by the margin of error.
- The upper bound is the sample mean added to the margin of error.
For this problem, we have that:
- The sample mean is of $21.
- The margin of error is of $1.50.
Hence the bounds are given as follows:
- Lower bound: 21 - 1.50 = $19.50.
- Upper bound: 21 + 1.50 = $22.50.
Hence the interval is [$19.50, $22.50].
More can be learned about confidence intervals at brainly.com/question/25890103
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