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pantera1 [17]
3 years ago
5

Solve the following inequality for n. Write your answer in simplest form.

Mathematics
2 answers:
yanalaym [24]3 years ago
7 0

Answer:

the answer to this is-35/29 or -1.206896552

lisabon 2012 [21]3 years ago
5 0

Answer:

n  <u><</u>  <u>-35</u>

        29

Meant to be a fraction.

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The Office of Student Services at a large western state university maintains information on the study habits of its full-time st
Vera_Pavlovna [14]

Answer:

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 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 20 hours, standard deviation of 6:

This means that \mu = 20, \sigma = 6

Sample of 150:

This means that n = 150, s = \frac{6}{\sqrt{150}}

What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?

This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So

X = 21

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

By the Central Limit Theorem

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

Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}

Z = 2.04

Z = 2.04 has a p-value of 0.9793

X = 19.5

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

Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}

Z = -1.02

Z = -1.02 has a p-value of 0.1539

0.9793 - 0.1539 = 0.8254

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

3 0
3 years ago
Hey can anyone help me find the missing side lengths please and thank you
alex41 [277]

Answer:

choice a

Step-by-step explanation:

angle 45 means, its a isosceles triangle.

so y = √3

x^2 = 3+3= 6

x = √6

3 0
2 years ago
Which is one way to check 102 ÷ 6 = 17
Nikolay [14]
The answer is B. 100/5=20 hope i helped

3 0
3 years ago
PLEASE HELP VERY IMPORTANT
Mariulka [41]

Answer:

(6, 2)

Step-by-step explanation:

K is at (-2, -3)

<u>Using the transformation equation given for this problem:</u>

(x + 8, y + 5)

(-2 + 8, -3 + 5)

(6, 2)

The answer is the third option.

7 0
2 years ago
What is the experimental probability a quarterback will complete his next pass if he has completed 30 of his last 40 passes?
Elden [556K]

Answer:

75%

Step-by-step explanation:

We know that the quarterback has completed 30 of 40 passes. This means that the ratio of completed passes to total passes is 30:40. Converting this to a fraction, we get 30/40, which can be simplified to 3/4. 3/4 as a percentage is 75%. Therefore, the final answer is 75%.

6 0
3 years ago
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