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GenaCL600 [577]

3 years ago

6

If you and 4 go to buy a drone and you find that it will cost you each $30. How many friends would you need to have with you if

you wanted to get that cost down to $20/person or less.

1 answer:

olga55 [171]3 years ago

5 0

You would have to have you and 5 other people to get the price to be $20 per person or less

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The Dow Jones Industrial Average has had a mean gain of 432 pear year with a standard deviation of 722. A random sample of 40 ye

trasher [3.6K]

Answer:

66.98% probability that the mean gain for the sample was between 250 and 500.

Step-by-step explanation:

To solve this problem, it is important to know the Normal probability distribution and the Central limit theorem.

Normal probability distribution

Problems of normally distributed samples can be solved using 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

In this problem, we have that:

$\mu = 432, \sigma = 722, n = 40, s = \frac{722}{\sqrt{40}} = 114.16$

What is the probability that the mean gain for the sample was between 250 and 500?

This is the pvalue of Z when X = 500 subtracted by the pvalue of Z when X = 250.

So

X = 500

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

By the Central Limit Theorem

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

$Z = \frac{500 - 432}{114.16}$

$Z = 0.6$

$Z = 0.6$ has a pvalue of 0.7257.

X = 250

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

By the Central Limit Theorem

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

$Z = \frac{250 - 432}{114.16}$

$Z = -1.59$

$Z = -1.59$ has a pvalue of 0.0559.

So there is a 0.7257 - 0.0559 = 0.6698 = 66.98% probability that the mean gain for the sample was between 250 and 500.

8 0

3 years ago

The cost of manufacturing A certain type of headphone varies inversely as the number of headphones increase . If 5000 headphones

amm1812

Why are the Fundamental Orders of Connecticut important?

8 0

3 years ago

Naomi has been contracted to put decorative lights on the outside edges of a building. She knows that each string of lights she

Lady_Fox [76]

You would divide 1350 by 47 to find our how many strings of lights she would need.

1350 / 47 = 28.7234

note that IF you choose 28, you would run short because it would not be enough to cover all of that edge.

so you would need to round up to 29

therefore our answer would be D)29 strings of lights.

3 0

3 years ago

6. Roughly what percent of the US<br> flag is red?

Montano1993 [528]

Answer:

about 14 percent but the exact is 14 3

3 0

3 years ago

Read 2 more answers

Point x is located at (-2,-6) and point z is located at (0,5). Find the y value for the point y that is located 1/5 the disteanc

Sedaia [141]

Answer:

-3 1/2

Step-by-step explanation:

We have to find the distance between x and z along the y-axis.

This will be: 5 - -6 = 11 units

1/5 of 11 = 1/5 × 11

= 11/5

= 2 1/5

Now add 2.5 to -6

2 1/2 + -6 = -3 1/2

The value of y = -3 1/2

8 0

4 years ago