Answer:
Step-by-step explanation:
Given
80.106
Required
Write in expanded form
First, we need the place value of each digit:
Next, we multiply each digit by its place value, to give the expanded form;
COORDINATE GEOMETRY Find the perimeter and area of each figure with the given vertices. 20. D(-2,-2), E(-2, 3), and F(2, -1)
1 answer:
Step-by-step explanation:
<u>Find the sides and perimeter:</u>
- DE = 3 - (-2) = 5
- EF =
≈ 4.1
- DF =
≈ 6.4
<u>Perimeter:</u>
- P = 5 + 4.1 + 6.4 = 15.5 units
<u>Find the area using shoelace formula:</u>
- A = 1/2|(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)|=
- 1/2|(-2*3 + -2* -1 + 2* -2) - (-2* -2 + 3*2 - 1* -2)|=
- 1/2|(-6 + 2 - 4) - (4 + 6 + 2)| =
- 1/2|-8 - 12| =
- 1/2(20) =
- 10 units²
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Answer:
(1)
The confidence interval for this case would be:
And we want to know what happens with the interval if we reduce the confidence level to 90% and for this case we will get a narrower interval since the critical value would be lower. So then the best option would be:
a. becomes narrower
Step-by-step explanation:
Notation
represent the sample mean for the sample
population mean
s represent the sample standard deviation
n represent the sample size
Solution
The confidence interval for the mean is given by the following formula:
(1)
The confidence interval for this case would be:
And we want to know what happens with the interval if we reduce the confidence level to 90% and for this case we will get a narrower interval since the critical value would be lower. So then the best option would be:
a. becomes narrower