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3 years ago

When Amber does her math homework she finishes 10 problems every 7 minuets.How long will it take for her to complete 35 problems

Mathematics

2 answers:

Bess [88]3 years ago

4 0

10 problems for every 7 minutes...

35 problems for every x minutes...

$\frac{10}{7}=\frac{35}{x}$

...multiply across

10x = 245

...divide

x = 24.5

it will take amber 24.5 minutes to complete 35 problems

butalik [34]3 years ago

3 0

Final answer is 24 and 1/2 minutes

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3 years ago

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3 years ago

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Answer:

$\mu -2\sigma = 24-2*3= 18$

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For this case we can define the random variable X as the amount of time it takes her to arrive to work and we know that the distribution for X is given by:

$X \sim N(\mu = 24, \sigma =3)$

And we want to use the empirical rule to estimate the middle 95% of her commute times. And the empirical rule states that we have 68% of the values within one deviation from the mean, 95% of the values within two deviations from the mean and 99.7 % of the values within 3 deviations from the mean. And we can find the limits on this way:

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So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

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