The sum of 3 consecutive numbers is 69. What is the smallest of these numbers

Mathematics

1 answer:

Vilka [71]3 years ago

3 0

Answer:

Step-by-step explanation:

The numbers are 22, 23, and 24. You can find them by dividing 69 by 3 to get 23, and then adding one and subtracting one to get 22, 23, and 24.

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Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

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Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

$M = \frac{1850 + 2000}{2} = 1925$

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The margin of error

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The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.898