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andrew-mc [135]
3 years ago
5

Answer the following questions. If you get stuck, use pattern blocks.

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
5 0
24 would be the right newer
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Answer: 23

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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
285 divided by 8 is what?
Gemiola [76]
35.625
How many times does 8 go into 285?

5 0
3 years ago
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What is 10% of 75? Use the double number line below to label your work and answer.
BabaBlast [244]

Answer: the answer is 7.5

Step-by-step explanation:

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2 years ago
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I need help asap!! <br> if p= -1, 5 Rx axis (P)
Evgesh-ka [11]

Answer:

P'(7, 5)

Step-by-step explanation:

Rule for the transformation of a point R_{x=1}(P) defines,

Reflection of a point P(x, y) about a line, x = 1 which is parallel to y-axis.

Line x = 1 works like a mirror so the distance between the line and the image point will be equal to the distance between the line and the original point.

Distance between the line and a point (-1, 5) = 4

Therefore, distance between the line and the image point = 4

Coordinates of the image point will be,

P'(3, 5)

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3 years ago
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