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3 years ago

Mr. Jones has three tables in his classroom. Each table has four

Mathematics

2 answers:

natima [27]3 years ago

5 0

Answer:

Step-by-step explanation:

you would multiply 3 tables by 4 students, that would be twelve. then 12 times 2, which is 24. Or you could find the pencils by multiplying 2 with 8 and then multiplying by 3. :)

romanna [79]3 years ago

3 0

Answer:

Step-by-step explanation:

4 students per table: 4 * 3 = 12 students

2 pencils per student: 2 * 12 = 24 pencils

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Find volume of sphere in cubic yards whose radius is 5 yard<br><br> Use pi = 3.14

enyata [817]

Answer:

523.333 cubic yards

Step-by-step explanation:

The formula for the volume of a sphere is $\frac{4}{3}\pi r^{3}$ where $r$ is the radius.

The radius of the given sphere is $r=5$ yards and $\pi =3.14$ .

Therefore, we can substitute in the radius and solve:

$V_{sphere}= \frac{4}{3}\*\times3.14\times 5^{3} =523.333$ cubic yards

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2 years ago

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What is 4.153 rounded to the nearest tenth?

Dmitry_Shevchenko [17]

The answer is 4.2. Have a good day

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3 years ago

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A bag contains five red marbles, fifteen black marbles, and ten white marbles. You pick one without looking. What is the probabi

aliya0001 [1]

Answer:

Step-by-step explanation:

5 red

15 black

10 white

altogether the is 30 marbles so that means it is 'out of' 30

and because the is 5 red it would be 5/30

and because the is 10 white it would be 10/30

that should be the answer but if you have to work the total all together then it would be 15/30

hope this helps :)

6 0

3 years ago

The amount of coffee that a filling machine puts into an 8-ounce jar is normally distributed with a mean of 8.2 ounces and a sta

nordsb [41]

Answer:

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

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 normally distributed samples are solved using 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 problem, we have that:

$\mu = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018$

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce?

This is the pvalue of Z when X = 8.2 + 0.02 = 8.22 subtracted by the pvalue of Z when X = 8.2 - 0.02 = 8.18. So

X = 8.22

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

By the Central Limit Theorem

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

$Z = \frac{8.22 - 8.2}{0.018}$

$Z = 1.11$

$Z = 1.11$ has a pvalue of 0.8665

X = 8.18

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

$Z = \frac{8.18 - 8.2}{0.018}$

$Z = -1.11$

$Z = -1.11$ has a pvalue of 0.1335

0.8665 - 0.1335 = 0.7330

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

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3 years ago

I HAVE 5 MINUTES PLEASE HELP (15 points)

erastova [34]

The answer choice is a. y=(-1/2)x

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3 years ago

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