Step-by-step explanation:
a. The point estimate is the mean, 47 days.
b. The margin of error is the critical value times the standard error.
At 31 degrees of freedom and 98% confidence, t = 2.453.
The margin of error is therefore:
MoE = 2.453 × 10.2 / √32
MoE = 4.42
c. The confidence interval is:
CI = 47 ± 4.42
CI = (42.58, 51.42)
d. We can conclude with 98% confidence that the true mean is between 42.58 days and 51.42 days.
e. We can reduce the margin of error by either increasing the sample size, or using a lower confidence level.
Answer:
1. 38 degrees
2. 38 degrees
Step-by-step explanation:
It tells you that angle 1 is 38 degrees, and they are supplementary angles, which means angle 2 is also 38 degrees.
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Answer:
63 yellow marbles
Step-by-step explanation:
You can set up this equation as a proportion:
7/5 = x/45
Divide 45 by 5 to see what 7/5 must be multiplied by to get to x/45.
You should get 9, so also multiply 7 by 9 to get this:
7/5 = 63/45
This shows that there are 63 yellow marbles for 45 green marbles.
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Answer: Length = 642 cm
Concept:
Here, we need to know the idea of how to find the area of a rectangle.
Area (rectangle) = l × w
l = length
w = width
Solve:
<u>Given information</u>
A = 24396 cm²
w = 38 cm
<u>Given expression</u>
A = l × w
<u>Substitute values into the expression</u>
24396 = l × (38)
<u>Divide both sides by 38</u>
24396 / 38 = l × 38 / 38
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Answer:
120
Step-by-step explanation:
The area of a rectangle is its width multiplied by its length, which in this case is 12*10=120.
