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Lyrx [107]
3 years ago
5

Select the correct answer.

Mathematics
1 answer:
uysha [10]3 years ago
7 0

Answer:

D.

Step-by-step explanation:

205.296/3.12 = 65.8

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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
Read 2 more answers
Help please! Not sure what this is
Lesechka [4]
B. Rotation
I’m assuming the question is not asking about placement but just the way the shape is.
Hope this helps!
3 0
2 years ago
Read 2 more answers
F(5)-f(3) = x^2+7x-22
My name is Ann [436]

Answer:

your answer is going to be -158

Step-by-step explanation:

(5)-(3)^2+7×-22=-158

4 0
2 years ago
Please help thank you very much
-BARSIC- [3]
Hello!

The answer is 34°

Hope this helps!
7 0
3 years ago
Ariel made cupcakes to sell. 2/3 of them were chocolate chip,25% of the reminder was strawberry and the rest were 90 vanilla cup
Anton [14]

Answer:

Let x be the total number of cupcakes.

Chocolate chips =

\frac{2}{3} x

Strawberry =

\frac{1}{4}  \times  \frac{1}{3}  \\  =  \frac{1}{12} x

Vanilla =

x -  \frac{2}{3} x -  \frac{1}{12}x \\  =  \frac{1}{3} x -  \frac{1}{12} x \\   =  \frac{1}{4} x

given

\frac{1}{4} x = 90

x = 90 \div  \frac{1}{4}  \\  = 90 \times 4 \\  = 360

a)Number of Chocolate chip Cupcakes =

\frac{2}{3}  \times 360 \\  = 240

b)Number of Strawberry cupcakes =

\frac{1}{12}  \times 360 \\  = 30

8 0
3 years ago
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