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aalyn [17]
3 years ago
9

Express the percent as a decimal 6.4%

Mathematics
1 answer:
Artemon [7]3 years ago
6 0

Answer:

0.064

Step-by-step explanation:

Hope this helps!

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Angel has an action figure collection of 300 action figures. He keeps 267 of the action figures on his wall. What percentage of
Veseljchak [2.6K]

Answer:

89% of Angel's action figure collection keeps on his wall.

Step-by-step explanation:

<u>Percentages</u>

To calculate the X% of a quantity Y, we must multiply both numbers and divide by 100:

X% of Y = X * Y / 100

For example, 15% of 780 = 15 * 780 / 100 = 117

If we want to know what percentage is m with respect to n, we proceed as follows:

percentage = m / n * 100%

Anges has a 300 action figures collection, 267 of which are kept on his wall. Here m=267, n=300, thus:

percentage = 267 / 300 * 100% = 89%

89% of Angel's action figure collection keeps on his wall.

5 0
3 years ago
Helpp me answer this question and explain
Ganezh [65]
The answer is A, you can tell because if you multiply 4 by the numbers inside the parentheses you’ll get =12+24..hope that helped :)
4 0
3 years ago
A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimat
zmey [24]

Answer:

a) 0.6426 = 64.26% probability that the sample mean will be within +/- 5 of the population mean.

b) 0.9544 = 95.44% probability that the sample mean will be within +/- 10 of the population mean.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, 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.

In this question, we have that:

\mu = 200, \sigma = 50, n = 100, s = \frac{50}{\sqrt{100}} = 5

a. What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)?

This is the pvalue of Z when X = 200 + 5 = 205 subtracted by the pvalue of Z when X = 200 - 5 = 195.

Due to the Central Limit Theorem, Z is:

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

X = 205

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

Z = \frac{205 - 200}{5}

Z = 1

Z = 1 has a pvalue of 0.8413.

X = 195

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

Z = \frac{195 - 200}{5}

Z = -1

Z = -1 has a pvalue of 0.1587.

0.8413 - 0.1587 = 0.6426

0.6426 = 64.26% probability that the sample mean will be within +/- 5 of the population mean.

b. What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)?

This is the pvalue of Z when X = 210 subtracted by the pvalue of Z when X = 190.

X = 210

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

Z = \frac{210 - 200}{5}

Z = 2

Z = 2 has a pvalue of 0.9772.

X = 195

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

Z = \frac{190 - 200}{5}

Z = -2

Z = -2 has a pvalue of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that the sample mean will be within +/- 10 of the population mean.

7 0
3 years ago
I'm haveing a hard time finding, 2y when y =6. Any one know?
scoray [572]
5.5 is your answer your welcome
6 0
3 years ago
Tom read 20 books, 12 magazines, and 18 newspaper articles last year.
neonofarm [45]

Answer: 24% of the books read are magazine

Step-by-step explanation:sum of the books read is 20+12+18=50 books.

Therefore 12 of the books are magazine.

Then, 12 of 50 =24%( 12÷50)× 100/1 = 24%

8 0
3 years ago
Read 2 more answers
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