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soldi70 [24.7K]
3 years ago
13

Which of these situations would best be represented using a quadratic function: the distance driven on a road trip, the path of

a tennis ball hit over the net, or the path of a train on train tracks? Explain why you chose your answer.
Mathematics
1 answer:
melamori03 [73]3 years ago
7 0
Quadratics have the parabola shape.  The distance driven on a road trip and the path of a train on train tracks can be represented linearly.

The path of a tennis ball can be represented by a quadratic function.  
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Round 893.38 to the nearest tenth
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Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study wa
4vir4ik [10]

Using the z-distribution, it is found that since the <u>test statistic is greater than the critical value</u>, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is <u>tested if the mean length of jail time is still of 2.5 years</u>, that is:

H_0: \mu = 2.5

At the alternative hypothesis, it is <u>tested if it has increased</u>, that is:

H_1: \mu > 2.5

We have the <u>standard deviation for the population</u>, thus, the z-distribution is used. The test statistic is given by:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • \sigma is the standard deviation of the sample.
  • n is the sample size.

For this problem, the values of the <u>parameters</u> are: \overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26

Hence, the value of the <u>test statistic</u> is:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}

z = 1.7

The critical value for a <u>right-tailed test</u>, as we are testing if the mean is greater than a value, with a <u>significance level of 0.05</u>, is of z^{\ast} = 1.645

Since the <u>test statistic is greater than the critical value</u>, it can be concluded that the mean length of jail time has increased.

A similar problem is given at brainly.com/question/24166849

5 0
2 years ago
Can any one help me lease I do not under stand.
svetoff [14.1K]

Answer: the cube root of 512 is 8.

Step-by-step explanation:

First divide 512 and take the least factors as I have shown,

512= 2×2×2×2×2×2×2×2×2

Now, make the triple twins of these factors,

(2×2×2)(2×2×2)(2×2×2)

Now, take one number from each pair and multiply them,

2×2×2=8

Therefore, the answer of the cube root of 512 is 8.

4 0
3 years ago
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