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White raven [17]
4 years ago
12

Can someone help me with all of this page with the wrong problems and don't do number four

Mathematics
1 answer:
juin [17]4 years ago
3 0
For number three they are all equal
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Please answer. find the x-intercept: , find the y-intercept.
-Dominant- [34]

Answer:

x-intercept is 3, y-intercept is -10

Explanation:

Those are the points they intercept the axises

4 0
3 years ago
Determine whether there a function or not a function
lora16 [44]

Answer:

21 is a function but 20 is not

8 0
3 years ago
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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
May currently has a balance of $1,817.43 on her credit card. If she must make a minimum monthly payment of 3.44% of her total ba
Anarel [89]
To get the answer, you have to multiply 1,817.43 by 0.0344 (decimal form of 3.44%). So that would equal 62.52. 
B. $62.52
6 0
4 years ago
Read 2 more answers
5. What is the name of the event that forced the Spanish from their homes?
spayn [35]
The Spanish-American war
7 0
3 years ago
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