Help! I don't understand this

Mathematics

1 answer:

olchik [2.2K]3 years ago

3 0

PQ=5i-4j 3QR+PQ-PQ=11i-4j-(5i-4j)=6i

3QR=6i QR=2i

R=Q+2i R=(4, 1)

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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

Korvikt [17]

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:

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

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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Answer:

$\boxed{\bold{z=-60}}$