3 years ago

Alan took a math quiz last week.hw got 6 out of 8 problems correct.What percentage did Alan get correct?

Mathematics

1 answer:

cluponka [151]3 years ago

6 0

6/8 would convert to 75%

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if the probability of an event is 26% what is the probability of its complement occurring? a. 100% b. 74% c. 26% or d. 24%

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B. 74%
This is because the complement plus the original must equal 100%.
So...
100 - 26 = 74

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9) They traveled 31.9 hours over the 3-day trip.

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Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probabili

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Answer:

$P(p>0.43) = 0.0436$

Step-by-step explanation:

Given

$p = 40\%$ -- proportion of baseball players

$n = 781$ --- selected sample

Required

Determine P(p>43%)

First, calculate the z score using:

$Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

This gives:

$Z = \frac{48\%-40\%}{\sqrt{\frac{40\% *(1 - 40\%)}{781}}}$

Convert % to decimal

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}$

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}$

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}$

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$Z = \frac{0.03}{0.01752992669}$

$Z = 1.71$

So:

$P(p>0.43) = P(Z>1.71)$

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$P(p>0.43) = 1 - 0.9564$

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