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VMariaS [17]
3 years ago
7

Choose the correct horizontal asymptote of f(x)=X +3/x² + 4

Mathematics
1 answer:
yuradex [85]3 years ago
7 0

Answer:

I need the options mate to chose which is correct

Step-by-step explanation:

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Suppose 42% of the population has myopia. If a random sample of size 442 is selected, what is the probability that the proportio
sineoko [7]

Answer:

0.7994 = 79.94% probability that the proportion of persons with myopia will differ from the population proportion by less than 3%.

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Suppose 42% of the population has myopia.

This means that p = 0.42

Random sample of size 442 is selected

This means that n = 442

Mean and standard deviation:

\mu = p = 0.42

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.42*0.58}{442}} = 0.0235

What is the probability that the proportion of persons with myopia will differ from the population proportion by less than 3%?

Proportion between 0.42 + 0.03 = 0.45 and 0.42 - 0.03 = 0.39, which is the p-value of Z when X = 0.45 subtracted by the p-value of Z when X = 0.39.

X = 0.45

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

By the Central Limit Theorem

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

Z = \frac{0.45 - 0.42}{0.0235}

Z = 1.28

Z = 1.28 has a p-value of 0.8997

X = 0.39

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

Z = \frac{0.39 - 0.42}{0.0235}

Z = -1.28

Z = -1.28 has a p-value of 0.1003

0.8997 - 0.1003 = 0.7994

0.7994 = 79.94% probability that the proportion of persons with myopia will differ from the population proportion by less than 3%.

7 0
3 years ago
2-(-8) please answer
zepelin [54]

Answer:

10

Step-by-step explanation:

- and a - equal postive and 8 plus 2 is 10

6 0
3 years ago
Read 2 more answers
What temperature is halfway between -23 and 76
Harrizon [31]
26.5 I think that’s the answer
6 0
3 years ago
What is the solution to the equation 5 over 8 (4x-16) =20?<br> A) 4<br> B) 12<br> C) 25<br> D) 75
pickupchik [31]

Answer:

work is pictured and shown

7 0
3 years ago
Read 2 more answers
6. The dimensions of a rectangular garden are 380ft x 250ft. If you want to walk around this garden to make 3 miles for a mornin
SSSSS [86.1K]

Answer:

Step-by-step explanation:

L=3(5280)/(2(380+250))

L=15840/1260

L=12.57

So to walk three miles one must walk around the garden 12.57 times.

7 0
3 years ago
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