20. Given circle C with radius r and circle D with radius
1 answer:
Answer:
A. Transform circle C with a dilation that has center C and scale factor s.
Step-by-step explanation:
Given
Circle C
Circle D
Required
Map C to D
From the question, we can assume that:
This implies that options c and d are false because when an object is translated from one point to another, the size of the object remains unchanged.
To map C onto D,
1) C has to be dilated from its own center C
2) The scale of dilation will be equal to the radius of D (i.e. s)
<em>Hence, (A) is correct</em>
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Answer:
The 99% confidence interval is (3.0493, 3.4907).
We are 99% sure that the true mean of the students Perry score is in the above interval.
Step-by-step explanation:
Our sample size is 21.
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So
.
Then, we need to subtract one by the confidence level and divide by 2. So:
Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So
Now, we multiply T and s
Then
The lower end of the interval is the mean subtracted by M. So:
The upper end of the interval is the mean added to M. So:
The 99% confidence interval is (3.0493, 3.4907).
Interpretation:
We are 99% sure that the true mean of the students Perry score is in the above interval.