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Ulleksa [173]
3 years ago
9

(Only number one) !!PLEASE EXPLAIN HOW TO SOLVE DON’T JUST TELL ME THE ANSWER!!

Mathematics
1 answer:
Luba_88 [7]3 years ago
7 0
I'm guessing since you're given the x values plug it in the equation
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According to records, the amount of precipitation in a certain city on a November day has a mean of inches, with a standard devi
Mekhanik [1.2K]

Answer:

The probability that the mean daily precipitation will be of X inches or less for a random sample of n November days is the p-value of Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}, in which \mu is mean amount of inches of rain and \sigma is the standard deviation.

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 establishes 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.

In this question:

Mean \mu, standard deviation \sigma

n days:

This means that s = \frac{\sigma}{\sqrt{n}}

Applying the Central Limit Theorem to the z-score formula.

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

What is the probability that the mean daily precipitation will be of X inches or less for a random sample of November days?

The probability that the mean daily precipitation will be of X inches or less for a random sample of n November days is the p-value of Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}, in which \mu is mean amount of inches of rain and \sigma is the standard deviation.

5 0
2 years ago
1000 students participated in a survey on a university campus about their TV watching habits. All
nasty-shy [4]

Hi, you've asked an unclear question. However, I inferred you may want to know the actual number of students represented by the percentages of 27%, and 61%.

<u>Explanation:</u>

Finding percentage usually involves performing two operations; multiplication and division.

First, all (100%) of respondents said they watched TV at least at some point during the day.

Next, 27% of respondents stated that they only  watched television during prime time hours, in which the actual number of students represented by the percentage is calculated by dividing 27 by 100 and multiplying by 1000 =

\frac{27}{100} * 1000 = 270.

Finally, we are told 61% of respondents stated that they spend prime time  hours in their dorm rooms. The actual number of students represented by the percentage is calculated by dividing 61 by 100 and multiplying by 1000 =

\frac{61}{100} * 1000 = 610

5 0
3 years ago
Which inequality is true?
Eduardwww [97]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the unit rate of a 13-oz. package of pistachios that costs $5.99?
meriva
I believe it is $0.46...
8 0
3 years ago
Someone please help me with this!! i really need this to pass :(
DochEvi [55]

Answer:

Option :" Use distance formula to prove that the lengths of the diagonals are equal" is correct

Step-by-step explanation:

Option : Use distance formula to prove that the lengths of the diagonals are equal" is correct.

Because " By using the coordinate geometry to prove that the diagonals of the rectangle are congruent, first we have to find the lengths of the top and bottom of the rectangle and then solve it for the lengths of the diagonals by using the distance formula".

3 0
3 years ago
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