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Veseljchak [2.6K]
2 years ago
13

PLS help 85% of 2500m

Mathematics
1 answer:
pishuonlain [190]2 years ago
3 0

Answer:

2125m or 2km or 125m

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

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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
P=3h+3u solve for h<br> ...?
horrorfan [7]

p=3h + 3u  subtract 3u from both sides

p-3u=3h   now divide both sides by 3

h = p/3 - u

5 0
3 years ago
Read 2 more answers
Urn 1 contains 7 red balls and 4 black balls. Urn 2 contains 3 red ball and 1 black ball. Urn 3 contains 5 red balls and 1 black
Marrrta [24]
Choice urn_1: 1/3
    choice R: 5/8        ==>1/3*5/8=5/24
Choice urn_2: 1/3
   Choice R: 3/4        ==> 1/3*3/4=1/4
Choice urn_3: 1/3
   Choice R:4/6=2/3  ==> 1/3*2/3=2/9

Total: 5/24+1/4+2/9=15/72+18/72+16/72=49/72

Read more on Brainly.com - brainly.com/question/1904508#readmore
5 0
3 years ago
Correctly determine whether the following statement is true or false. 6²&gt; (- 6) ²
Aleks [24]

Answer:

False.

Step-by-step explanation:

6² >  (-6)²

36  >  36

5 0
3 years ago
How many halves are in 20<br>​
elixir [45]

Answer:

Step-by-step explanation:

20 ÷ (½) = 20 × (2/1) = 40

7 0
3 years ago
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