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1 year ago

11

Rob is travelling at a constant speed in a car. He travels 105km in 1 hour and 30 minutes. The speed limit is 80km/h. Is Rob tra

velling within the speed limit? Show how you decide.

1 answer:

abruzzese [7]1 year ago

8 0

Answer:

Yes.

Step-by-step explanation:

Let's first convert his speed to km/h.

$\frac{105km}{1.5h} = 70\frac{km}{h}$ > $80\frac{km}{h}$ . Therefore, Rob is traveling within the speed limit.

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Vladimir [108]

Answer:

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Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

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In this problem:

I will calculate the time in months. Each year has twelve months.

Mean shelf life is three years and four months, with a standard deviation of three months. So

$\mu = 3*12 + 4 = 40$

$\sigma = 3$

Proportion lasting between three years and one month and three years and seven months:

This is the pvalue of Z when X = 3*12 + 7 = 43 subtracted by the pvalue of Z when X = 3*12 + 1 = 37

X = 43

$Z = \frac{X - \mu}{\sigma}$

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X = 37

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{37 - 40}{3}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587.

0.8413 - 0.1587 = 0.6826

Out of 25,000 batteries:

68.26% of the batteries are expected to last between three years and one month and three years and seven months.

0.6826*25000 = 17,065

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