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mr_godi [17]
3 years ago
10

A large plane is able to cruise at 530 miles per hour. What is the ratio of miles per hour?

Mathematics
1 answer:
NeTakaya3 years ago
3 0
530 miles are travelled for every hour passed?
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Based on historical data, your manager believes that 37% of the company's orders come from first-time customers. A random sample
fomenos

Answer:

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

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 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.

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}}

37% of the company's orders come from first-time customers.

This means that p = 0.37

A random sample of 225 orders will be used to estimate the proportion of first-time-customers.

This means that n = 225

Mean and standard deviation:

\mu = p = 0.37

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.37*0.63}{225}} = 0.0322

What is the probability that the sample proportion is between 0.26 and 0.38?

This is the pvalue of Z when X = 0.38 subtracted by the pvalue of Z when X = 0.26.

X = 0.38

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

By the Central Limit Theorem

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

Z = \frac{0.38 - 0.37}{0.0322}

Z = 0.31

Z = 0.31 has a pvalue of 0.6217

X = 0.26

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

Z = \frac{0.26 - 0.37}{0.0322}

Z = -3.42

Z = -3.42 has a pvalue of 0.0003

0.6217 - 0.0003 = 0.6214

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

5 0
2 years ago
14 out of 22 students in 1st period passed the math assignment. What is the ratio of the students who passed to those who did NO
arlik [135]

Answer:

14:8

Step-by-step explanation:

5 0
3 years ago
What is the answer to -4|8n|=-32
Kisachek [45]

Answer:

n=-1, 1

Step-by-step explanation:

-4|8n|=-32

Divide each side by -4

-4|8n|/-4=-32/-4

|8n|=8

When we have absolute values, we need to make two equations, one positive and one negative

8n=8             8n=-8

Divide each side by 8

8n/8 = 8/8         8n/8 = -8/8

n=1                     n=-1

7 0
2 years ago
Please help asap, hghhfthbh
ANEK [815]

Answer:

90

Step-by-step explanation:

both sides are equal

both sides have to match

therefore y is 90 and x is 30

it is a symmetry thing

4 0
2 years ago
Read 2 more answers
Easy tips to memorize things
igor_vitrenko [27]
The way I memorize things is re-reading the passage/concept, then repeating it again and again in my head til it is almost annoying and then start testing myself every few minutes on the material
~Naterator :P

Please Thank and rate if this helped <3
3 0
3 years ago
Read 2 more answers
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