A random sample of 17 hotels in Orlando had an average nightly room rate of $165.40 with a sample standard deviation of $21.70. The margin of error for a 95% confidence interval around this sample mean is

Margin of Error = 11.16

Step-by-step explanation:

A random sample of 17 hotels in Orlando had an average nightly room rate of $165.40 with a sample standard deviation of $21.70. The margin of error for a 95% confidence interval around this sample mean is

The formula for Margin of Error =

z × Standard deviation/√n

z = z score of 95% confidence Interval = 1.96

Standard deviation = $21.70

Random sample = 17

1.96 × 21.70/√17

= 11.16

Margin of Error = 11.16

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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