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iren2701 [21]
2 years ago
13

Jennifer bought 12 pens. Out of 12 pens, 7 are blue and the rest are red.

Mathematics
1 answer:
alexdok [17]2 years ago
8 0

Answer:

The answer is 5:12

Step-by-step explanation:

It is 5:12 because We already know that 7 pens are blue. To find the number of red pens we must subtract 12 - 7 and get 5 as the number of red pens. Now knowing the no. of red pens and total number we can say the ratio of red pens to total no. is 5:12

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Explain how the following ordered pairs represent or doesn't represent a function
denis23 [38]
The answer is b because each x value has one y value.
3 0
3 years ago
The ratio of two numbers is 7 to 5. The sum of the numbers is 24. What are the numbers?
Kipish [7]

Answer:

14 and 10

Step-by-step explanation:

The ratio of the 2 numbers = 7x : 5x

The sum of the 2 numbers is 24, hence

7x + 5x = 24

12x = 24 ( divide both sides by 12 )

x = 2

7x = 7 × 2 = 14

5x = 5 × 2 = 10

Thus the numbers are 14 and 10

5 0
3 years ago
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
Last month, Michael ran 5 3 4 miles on 10 different days. How many total miles did Michael run last month? A) 50 3 4 miles B) 56
OleMash [197]
5 3/4 * 10 =
23/4 * 10 =
230/4 =
57.5 or 57 1/2...same as 57 2/4 miles
6 0
3 years ago
Select the best answer.
Tanzania [10]

Answer:

E

Step-by-step explanation:

As you need a 47%, you universe of numbers should be form 0 to 99 (or 1 to 100, the important fact is you need 100 numbers). With this, you can discard A and D. You can also discard C, as you need 47 good realizations as you probability is 47%, and C gives you 48 (00 also counts)

You need as many observations as you can, to get a more consistent estimation. This means, as many observations as you can.  You could use B or E, because both have 47 good observations (for u), but E gives you a larger sample.

If you are trying to get a head with 50% throwing a dime, you will, statistically, do better throwing it 47 times than only 10 times.

7 0
3 years ago
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