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vladimir2022 [97]
3 years ago
11

Expression equivalent to 18-7

Mathematics
1 answer:
rodikova [14]3 years ago
6 0

Answer:

3 + 19 - 11

Step-by-step explanation:

18 - 7 = 12

3 + 19 - 11

3 + 19 = 22

22 - 11 = 11

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A statistician calculates that 8% of Americans own a Rolls Royce. If the statistician is right, what is the probability that the
hichkok12 [17]

Answer:

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more 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}}

A statistician calculates that 8% of Americans own a Rolls Royce.

This means that p = 0.08

Sample of 595:

This means that n = 595

Mean and standard deviation:

\mu = p = 0.08

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.08*0.92}{595}} = 0.0111

What is the probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%?

Proportion above 8% + 3% = 11% or below 8% - 3% = 5%. Since the normal distribution is symmetric, these probabilities are equal, and so we find one of them and multiply by 2.

Probability the proportion is less than 5%:

P-value of Z when X = 0.05. So

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

By the Central Limit Theorem

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

Z = \frac{0.05 - 0.08}{0.0111}

Z = -2.7

Z = -2.7 has a p-value of 0.0035

2*0.0035 = 0.0070

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

8 0
3 years ago
I am a multiple of 10. My factors included and even number and an odd number.im greater than 15 and but less than 28. What numbe
Ymorist [56]

Answer:

20

Step-by-step explanation:

Multiples of 10 are: 10, 20, 30, 40, 50, ... and so on.

Only one of them: 20 falls between 15 and 28.

Other conditions are also true for 20 - it has a factor that is an even number (all its even factors are: 2, 4, 10, 20) and it has a factor that is an odd number (all its odd factors are: 1, 5).

8 0
3 years ago
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Bone dry, sorry nothing I can do about that
4 0
3 years ago
16-2&lt;5<br>solveeeeee itttttt​
Licemer1 [7]

b-2

Therefore, the answer is b < 7.

4 0
3 years ago
Help please I need help fr fr
Digiron [165]

Answer:

See explanation!

Step-by-step explanation:

A = Reflection

B= Rotation

C= Translation

D= Dilation

8 0
2 years ago
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