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mixas84 [53]
3 years ago
10

Consider each expression. Is the value of the expression negative?

Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0

Answer:

A.

No

B.

Yes

C.

Yes

Step-by-step explanation:


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A study investigating the relationship between age and annual medical expenses randomly samples 400 individuals in a city. It is
ICE Princess25 [194]

Answer:

The probability is 0.789

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 normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, 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.

In this problem, we have that:

\sigma = 16, n = 400, s = \frac{16}{\sqrt{400}} = 0.8

Find the probability that the mean age of the individuals sampled is within one year of the mean age for all individuals in the city.​

Using \mu = 30, this is the pvalue of Z when X = 31 subtracted by the pvalue of Z when X = 29. So

X = 31

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

By the Central Limit Theorem

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

Z = \frac{31 - 30}{0.8}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

X = 29

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

Z = \frac{29 - 30}{0.8}

Z = -1.25

Z = -1.25 has a pvalue of 0.1056

0.8944 - 0.1056 = 0.7888

Rounded to three decimal places, 0.789

The probability is 0.789

4 0
3 years ago
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Please help A.S.A.P it's due tomorrow morning?<br><br> what is y = 2x + 5 and f(x) = 2x + 5
amid [387]

Answer:

they are equal

Step-by-step explanation:

f(x) means the same thing as y.

3 0
3 years ago
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Identify the correct equation from the graph.
Margarita [4]

Answer:

I think is D

Step-by-step explanation:

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2 years ago
What is the sum of forty-six and ninety-four?
lbvjy [14]

Answer:

140

Step-by-step explanation:

46+94 = 140

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What are the names of four coplanar points?
Harman [31]

Answer:

Image result for 1 What are the names of four coplanar points?

1. What are the names of four coplanar points? A. B. C. D. Points P, M, F, and C are coplanar Points F, D, P, and N are coplanar.

Step-by-step explanation:

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