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oksian1 [2.3K]
4 years ago
6

alex is going to share a bag of 24 jelly beans with his friend austin . alex gives some of the jelly beans to austin but , when

they do a count , alex has three times as many jelly beans as austin . how many jelly beans do they each have ?
Mathematics
1 answer:
katrin2010 [14]4 years ago
3 0
Austin would have 6 jelly beans and Alex would have 18 because if Alex were to have three times as many jellybeans as Austin that means Austin will have one times and Alex would have three times which equals four so you would have to divide 4÷24 which gives them six for each group
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Answer:

the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166

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The summary of the given statistical data set are:

Sample Mean = 186

Standard deviation = 29

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sample size = 17

population mean =3417

The objective is to determine the probability  that a random sample of 17 persons will exceed the weight limit of 3,417 pounds

In order to do that;

Let assume X to be the random variable that follows the normal distribution;

where;

Mean \mu = 186 × 17 = 3162

Standard deviation = 29* \sqrt{17}

Standard deviation = 119.57

P(X>3417) = P(\dfrac{X - \mu}{\sigma}>\dfrac{X - \mu}{\sigma})

P(X>3417) = P(\dfrac{3417 - \mu}{\sigma}>\dfrac{3417 - 3162}{119.57})

P(X>3417) = P(Z>\dfrac{255}{119.57})

P(X>3417) = P(Z>2.133)

P(X>3417) =1- 0.9834

P(X>3417) =0.0166

Therefore; the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166

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