Solve each right triangle for ABC. (Will award brainliest)
1 answer:
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Answer:
We would have to take a sample of 62 to achieve this result.
Step-by-step explanation:
Confidence level of 95%.
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 1.96.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.
This means that
If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?
We would need a sample of n.
n is found when . So
Dividing both sides by 0.5
Rounding up
We would have to take a sample of 62 to achieve this result.
Answer:
The difference in the lengths of the two alligators = 3
Step-by-step explanation:
First, let us make the lengths improper fractions, then we will find the difference from there.
Alligator 1:
Length =
To convert to improper fraction, multiply the denominator by the whole number, and then add the denominator [(12 × 14) + 5]
Alligator 2:
Length =
Now Let us find the difference between the lengths:
Therefore the difference in the lengths of the two alligators = 3