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katovenus [111]
3 years ago
7

When Harper commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 24 minutes and a

standard deviation of 3 minutes. Using the empirical rule, determine the interval that represents the middle 95% of her commute times.
Mathematics
1 answer:
Korvikt [17]3 years ago
7 0

Answer:

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

\mu -2\sigma = 24+2*3= 30

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

Step-by-step explanation:

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:

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

\mu -2\sigma = 24+2*3= 30

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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yarga [219]

Answer:

69 3/4

Step-by-step explanation:

The stock market goes down to 50 3/4 at the beginning of the day

At the end of the day it goes up to 120 1/2

Therefore total change in the stock market from the beginning to the end of the day can be calculated as follows

= 120 1/2 - 50 3/4

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Hence the total change in the stock market from the beginning to the end of the day is

69 3/4

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3 years ago
–3(x + 1) ≤ 6 on the number line.
Vladimir [108]
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3 0
2 years ago
Problem ID: PRABJVTY
aksik [14]

Answer:

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3 0
3 years ago
Find the probability.
KATRIN_1 [288]

Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 15 bottles.

  • 5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.
  • After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.
  • For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.

The probability of the three outcomes occurring is given by:

p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

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Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below.
Kisachek [45]

Answer: No the students work is not correct. Because you are using distribution. Which means that 3 has to multiply the y2 and 2 not just the y2! And after you distribute it you need to simplify!

Step-by-step explanation:

6 0
2 years ago
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