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elixir [45]
3 years ago
15

A skydiver free falls from a plane 200 feet above the ground. Which of the following equations could represent the height of the

skydiver as a function of time?
1. h(t) = -16t2 + 200t

2. h(t) = t2 + 199

3. h(t) = -16(t - 3) + 200

4. h(t) = -16t2 + 200
Mathematics
2 answers:
jasenka [17]3 years ago
6 0

Answer:

Katie,

Once the skydiver reaches terminal velocity, then he will be falling with constant speed. The distance he falls in time t will then be d = (160 ft/s)·t. And his altitude above the ground (height h) will be his altitude when the parachute opened minus the distance he has fallen so we can write:

h = (3200 ft) - (160 ft/s)·t

As a point of interest, the time it will take him to fall all the way to the ground is t = (3200 ft)/(160 ft/s) = 20 s

Irina18 [472]3 years ago
5 0

Answer:

h(t) = -16t^2 + 200

Step-by-step explanation:

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Explanation:

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3 years ago
Tehara has read 115 pages of a 305 page book she reads 10 pages each day how many days will it take to finish
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Step-by-step explanation:

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3 years ago
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A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and
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Answer:

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Step-by-step explanation:

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The age at which small breed dogs are fully housebroken follows a Normal distribution with mean ms = 6 months and standard devia
atroni [7]

Answer:

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If the z-score is lower than -2, or higher than 2.5, the score of X is considered unusual.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Let xS – xL represent the sampling distribution.

Mean s 6, means L 4. So

\mu = 6 - 4 = 2

Standard deviation s is 2.5, for L is 1.5. So

\sigma = \sqrt{2.5^2+1.5^2} = 2.915

Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.

We have to find the z-score for X = 2.5. So

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

Z = \frac{2.5 - 2}{2.915}

Z = 0.17

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

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2 years ago
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Alborosie

Answer:

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Step-by-step explanation:

base x height divided by 2

3 x 4 = 12

12/2

6

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3 years ago
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