How many ways can you choose 4 CD from a stack of 8

After graduation your first job is with abibas inc., a company that specializes in sportswear with collegiate logos. to improve

Aleksandr [31]

The probability that the new UNC-CH logo will be profitable is 0.9897 while the probability for NC State will be 0.9600.

<h3 /><h3>What is the probability that the brands will be successful?</h3>

The probability that the UNC-CH logo is successful is:

= Favorable odds / Total odds

= 96 / (96 + 1)

= 0.9897

The probability that the NC State logo is profitable is:

= Favorable odds / Total odds

= 24 / (24 + 1)

= 0.9600

There is less than a 3% variation in both logos' profitablility probability so the company should not spend 4 times more on UNC-CH.

Find out more on probabilities of profit at brainly.com/question/13500115.

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4 0

2 years ago

Noah brought 1 fishing pole, 2 corks, and 1 worms. What is the total cost? Each fish cost $2. Corks is 2 fish, poles is 5 fish,

slava [35]

The total cost is 21.50.

Hope this helps!!

3 0

3 years ago

Read 2 more answers

What is the MINIMUM of the data set: 35, 20, 30,25, 20?"

Romashka [77]

Answer:

B) 20

The minimum of a data set is the smallest term of that set.

We arrange the terms in ascending order

→ 20,20,25,30,35

So, the minimum is 20

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hope it helps...

have a great day!!

3 0

2 years ago

Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal prob

Novay_Z [31]

Answer:

a) By the Central Limit Theorem, it is approximately normal.

b) The standard error of the distribution of the sample mean is 1.8333.

c) 0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.

d) 0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours

e) 0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, 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 normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 36 hours and a standard deviation of 5.5 hours.

This means that $\mu = 36, \sigma = 5.5$

a. What can you say about the shape of the distribution of the sample mean?

By the Central Limit Theorem, it is approximately normal.

b. What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.)

Sample of 9 means that $n = 9$ . So

$s = \frac{\sigma}{\sqrt{n}} = \frac{5.5}{\sqrt{9}} = 1.8333$

The standard error of the distribution of the sample mean is 1.8333.

c. What proportion of the samples will have a mean useful life of more than 38 hours?

This is 1 subtracted by the pvalue of Z when X = 38. So

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

By the Central Limit Theorem

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

$Z = \frac{38 - 36}{1.8333}$

$Z = 1.09$

$Z = 1.09$ has a pvalue of 0.8621

1 - 0.8621 = 0.1379

0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.

d. What proportion of the sample will have a mean useful life greater than 34.5 hours?

This is 1 subtracted by the pvalue of Z when X = 34.5. So

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

$Z = \frac{34.5 - 36}{1.8333}$

$Z = -0.82$

$Z = -0.82$ has a pvalue of 0.2061.

1 - 0.2061 = 0.7939

0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours.

e. What proportion of the sample will have a mean useful life between 34.5 and 38 hours?

pvalue of Z when X = 38 subtracted by the pvalue of Z when X = 34.5. So

0.8621 - 0.2061 = 0.656

0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours

4 0

2 years ago

Is the relation in this set of points a function

natita [175]

It is not a function—an element from the domain is paired with more than one element from the range. Specifically, the input value of 4 corresponds to two output values: 5 and -4.

A function can only take on one output for each input. It only takes one input value to associate with more than one output value to be invalid as a function.

Please mark this answer as the Brainliest, if you find this helpful :)

7 0

2 years ago