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3 years ago

1. On which road would there be a larger standard deviation in speed: a backroad or an interstate? Justify your answer

Mathematics

1 answer:

White raven [17]3 years ago

7 0

Answer:

Your answers may vary slightly. 5.2 Normal Distributions: Finding Probabilities If you are given that a random variable Xhas a normal distribution, nding probabilities corresponds to nding the area between the standard normal curve and the x-axis, using the table of z-scores. The mean (expected value) and standard deviation ˙should be given

Step-by-step explanation:

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Elaina just began working as an occupational therapist assistant for $21.00 per hour. For each paycheck she receives, 12% is ded

lora16 [44]

Answer:

Elaina just began working as an occupational therapist assistant for $21.00 per hour. For each paycheck she receives, 12% is deducted from the gross pay for Federal Withholding Tax. In addition, 1.45% is deducted for Medicare and 6.2% for Social Security. Below is Elaina’s paycheck with missing information.

Elaina’s gross pay for a two week period is $1680.00, what is her net pay?

Step-by-step explanation:

3 0

2 years ago

Use y=2.5x+65 to find x when y=75

uranmaximum [27]

Answer:

The value of x is 4

Step-by-step explanation:

y = 2.5x + 65; y = 75

Now, Substitute

y = 2.5x + 65

75 = 2.5x + 65

75 – 65= 2.5x + 65 – 65

10 = 2.5x

2.5x = 10

2.5x/2.5 = 10/2.5

x = 4

Thus, The value of x is 4

<u>-TheUnknownScientist</u><u> 72</u>

6 0

2 years ago

A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life

alisha [4.7K]

Answer:

The null hypothesis is $H_0: \mu \leq 10$

The alternative hypothesis is $H_1: \mu > 10$

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

$H_0: \mu \leq 10$

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

$H_1: \mu > 10$

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

10 is tested at the null hypothesis:

This means that $\mu = 10$

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that $n = 45, X = 10.5, s = 1.8$

Then

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}$

$t = 1.86$

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

5 0

2 years ago

During a scuba dive, Lainey descended to a point 29 feet below the ocean surface. She continued her descent at a rate of 29 feet

Alex73 [517]

Answer:

Her initial position was:

-29ft

Where we use the minus sign because this is below the ocean's surface.

Now we also know that she keeps descending at a rate of -29ft per minute, then if she keeps descending for t minutes, her position will be:

P(x) = -29ft - 29ft/min*t

Now, we also know that she does not want to descend more than 81ft below the ocean's surface, then we have the inequality:

P(x) ≥ -81ft

-29ft - 29ft/min*t ≥ -81ft

Now let's isolate t in one side:

- 29ft/min*t ≥ -81ft + 29ft = -52 ft

- 29ft/min*t ≥-52 ft

t ≤ -52ft/(- 29ft/min) = 1.79 min

Then the maximum amount of time that she can keep descending is 1.79 minutes.

6 0

2 years ago

6.15 divided by 31 rounded

nikdorinn [45]

It would be (rounded) 5
Because
31 / 6.15 = 5.04065

Hope this helped

Have a great day/night

7 0

3 years ago