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stich3 [128]
3 years ago
15

Shalini blusex batting scores were 13144 155 142 167 172 what was his score​

Mathematics
1 answer:
balu736 [363]3 years ago
4 0
13144 mr brill this should help
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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
Ed galaxy perimeter ​
sp2606 [1]

Answer:

53 mm

Step-by-step explanation:

Perimeter is the sum of the lengths of all its sides.

Let the length of the unknown side be x mm.

123= 25 +45 +x

x= 123 -25 -45

x= 53

Thus, the unknown side is 53 mm.

4 0
2 years ago
Read 2 more answers
What would be 12.6 - 4.9 as an estimate?
-Dominant- [34]
I would say 8.0 Because if you do 12.6-4.9 you get 7.7 ...hope that helped
6 0
3 years ago
Read 2 more answers
Find the distributive property to factor out the greatest common factor of 55 + 35​
Ad libitum [116K]

Answer:

<h2>5(11 + 7)</h2>

Step-by-step explanation:

55 = 5 · 11

35 = 5 · 7

GCF(55, 35) = 5

The distributive property <em>a(b + c) = ab + ac</em>

Therefore

55 + 35 = 5 · 11 + 5 · 7 = 5 · (11 + 7)

8 0
3 years ago
Which of the following situations can be represented by the absolute value of 10? Check all that apply.
gtnhenbr [62]

Answer:

The situations that can be represented as an absolute value of 10 are:

  • Determine the size of Harold’s debt if he owes $10.
  • Determine how far −10 is from zero on a number line.
  • 10 degrees is how many degrees above zero?

Step-by-step explanation:

  • Determine the size of Harold’s debt if he owes $10.

Even though he owes $10, which is reflected as -$10, the size of the debt is the absolute value ($10).

  • Determine how far −10 is from zero on a number line.

The distance is expressed in positive numbers, or using the absolute value.

  • 10 degrees is how many degrees above zero?

The distance of the temperature is expressed in positive numbers, or using the absolute value.

7 0
3 years ago
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