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leva [86]
3 years ago
13

The sum of three consecutive numbers is 96. What are the smallest of these numbers? Write and Solve an Equation.

Mathematics
2 answers:
zlopas [31]3 years ago
5 0

Answer:

31

Step-by-step explanation:

Remark

The easy way to set this up is to make the smallest number x - 1. You will see why in a moment. It cuts down on one step)

Equation

(x - 1) + x + (x + 1) = 96                Remove the brackets

Solution

x - 1 + x + x + 1 = 96                   Combine like terms

3x = 96                                       Divide by 3

x = 32

Note: that is not the smallest number. Remember, the smallest number is x - 1

So the smallest number is 31

vichka [17]3 years ago
4 0

Answer:

30+32+34

Step-by-step explanation:

so 30 would be the smallest number. Hope this helps, have a nice day!

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Answer:

(a) The value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

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<em>H₀</em>: <em>μ</em> = 74 vs. <em>Hₐ</em>: μ < 74.

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As the population standard deviation is known, we will use a <em>z</em>-test for single mean.

(a)

The <em>z</em>-score is a Normal distribution with mean 0 and variance 1. It is also defined as the number of standard deviations a raw score is from the mean.

The <em>z</em>-score for sample mean is given by:

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If \bar x = 72.3 compute the corresponding <em>z</em>-score as follows:

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(b)

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p-value=P(Z

*Use a <em>z</em>-table.

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<em>p</em>-value = 0.1131 < <em>α</em> = 0.01

The null hypothesis was failed to be rejected.

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