Asample of 144 was taken from a population with a standard deviation of 36 inches. in this case the sample mean will be within how many inches of the population mean 99.7% of thew time?

9 inches

Step-by-step explanation:

The population is within 6 standard deviations of the mean with a confidence of 99.7 percent, 3 above and 3 below

The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size

population standard deviation = 36

sample size = 144

standard deviation of the sample mean = 36/ sqrt(144)

                                                                   =36/12

                                                                   =3

The margin of error is  the number of standard deviations above  the mean * the standard deviations

margin of error  = 3 * 3

                           = 9 inches

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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