Several factors are involved in the creation of a confidence interval. Among them are the sample size, the level of confidence, and the margin of error. Which of the statements below are true?
For a given sample size, reducing the margin of error will mean higher confidence.
For a certain confidence level, you can get a smaller margin of error by selecting a larger sample.
For a fixed margin of error, smaller samples will mean lower confidence.
For a given confidence level, a sample 9 times as large will make a margin of error one ninth as big.

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3,6 and 7.

step-by-step explanation:

a) unit place of 37 is 7

so the unit place of cube of 37 will be

7³= 343=3

the answer is 3.

b) unit place of 56 is 6, so the unit place of cube of 56 will be

6³= 216=6

the answer is 6.

c) unit place of 133 is 3, so the unit place of cube of 133 will be

3³= 27= 7.

the answer is 7.

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus