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3 years ago

Teru burned about 1,000 calories downhill skiing before lunch. If she plans to ski

Mathematics

1 answer:

Fudgin [204]3 years ago

4 0

Answer:

3.3333 hours

Step-by-step explanation:

From the attached table :

Downhill skiing for 1/6 hours ; results in 100 calories burn

To burn 1000 calories :

Skiing hours required :

(1000 / 100) * (1/6)

10 * 1/6 = 10 /6 hours

Planned skiing hours = 5

Number of skiing hours after lunch will be :

5 hours - 10/6 hours

5 hours - 1.6666 hours

= 3.3333 hours

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Read 2 more answers

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.075 = 0.925$ , so Z = 1.44.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

3 years ago