A dilation with a scale factor of 1/2 is applied to the three sides of Triangle ABC to create Triangle A'B'C'. The side lengths
1 answer:
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Answer:
13.57 < µ < 15.43
Step-by-step explanation:
Assume: We have to assume the sample comes from a normally distributed population because we do not know the population standard deviation.
We assume that it was a random sample.
Do not assume: The sample size is at least 30 because we are that it's 10. Don't assume the variance is less than the mean because we can calculate it and will know for sure.
To find a 90% confidence interval we need to find the sample mean and sample standard deviation. See attached photo 1 for the calculations
See attached photo 2 for the construction of the confidence interval
Answer:
133,7697
Step-by-step explanation:
(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.
The formula is given as;
This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.
Therefore, we would have;
Therefore, if the order is relevant, this selection can be done in 6,720 ways.
(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;
The formula can now be applied as follows;
If the order is not relevant, then the selection can be done in 56 ways.