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3 years ago

9

There were 45 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 3

/5 of the remaining runners dropped out. How many runners finished the race?

1 answer:

Helen [10]3 years ago

5 0

45/3=15 45-15=30 30/5=6 3x6=18 30-18=12 the answer is 12

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3 years ago

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3 years ago

10# A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like

ella [17]

ANSWER:

104

STEP-BY-STEP EXPLANATION:

Given:

Standard deviation (σ) = 700

Confidence level = 95%

Mean error (Eμ) = 135

We have for a confidence level of 95%:

$\begin{gathered} \alpha=100\%-95\%=5\%=0.05 \\ \\ \alpha\text{/2}=\frac{0.05}{2}=0.025 \\ \\ \text{ The corresponding Z value for \alpha/2 = 0.025 is as follows:} \\ \\ Z_{\alpha\text{/2}}=1.96 \end{gathered}$

Now, we calculate the minimum value of the sample size as follows:

$\begin{gathered} n=\left(\frac{Z_{\alpha\text{/2}}\cdot\sigma}{E}\right)^2 \\ \\ \text{ We replacing:} \\ \\ \:n=\left(\frac{1.96\cdot 700}{135}\right)^2 \\ \\ \:n=103.2858\cong104 \end{gathered}$

The minimum sample size needed is 104

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1 year ago