<img src="https://tex.z-dn.net/?f=%5Cpi7%5E%7B2%7D%20%20%5Ctimes%2028%20-%20%5Cpi2.25%20%7B%7D%5E%7B2%7D%20%20%20%5Ctimes%2028"

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3 years ago

id="TexFormula1" title="\pi7^{2} \times 28 - \pi2.25 {}^{2} \times 28" alt="\pi7^{2} \times 28 - \pi2.25 {}^{2} \times 28" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

jolli1 [7]3 years ago

6 0

I don't see any relationship between the expression you have shared and the volume of paper towels.

If you wish to simplify the given expression, factor out 28, obtaining
28*pi(49 - 5.0625) = 28*pi*(43.9375).

You could leave your answer as shown, or you could multiply it out. Try several forms of presentation. Which one is closest to the answer to this problem?

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The entire little league division that the Hawls belong to has the same ratios of redheads to everyone else. What is the total n

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Answer:The answer is 63

Step-by-step explanation:

You would divide 126/2 = 63, to check, you would see if there is a 1:1: ratio between number of redheads and all other student!

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4 years ago

You are feeding a baby alligator named Joseph with 11 pounds of fresh meet in per week.how many grams of meat does Joseph eat pe

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Answer:

<u>The correct answer is C. 5,000</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of fresh meat Joseph eat per week = 11 pounds

2. How many grams of meat does Joseph eat per week?

Let's answer the question this way:

Conversion of pounds to kilograms

Number of kilograms = 11/2.2

Number of kilograms = 5

Conversion of kilograms to grams

Number of grams = 5 * 1,000

Number of grams = 5,000

<u>The correct answer is C. 5,000</u>

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3 years ago

Two angles ∠MNO and ∠JHK are supplementary. If m∠MNO = (2x+10)° and m∠JHK = (4x-5)°, what are the measures of the two angles?

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3 years ago

A professor knows that her statistics students' final exam scores have a mean of 79 and a standard deviation of 11.3. In his cla

OverLord2011 [107]

For each student, there are only two possible outcomes. Either they score an A, or they do not. The probability of a student scoring an A is independent of any other student, which means that the binomial probability distribution is used to solve this question.

Additionally, to find the proportion of students who scored an A, the normal distribution is used.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean and standard deviation , 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.

Proportion of students that scored an A:

Scores have a mean of 79 and a standard deviation of 11.3, which means that $\mu = 79, \sigma = 11.3$

Scores of 90 or higher are graded an A, which means that the proportion is 1 subtracted by the p-value of Z when X = 90, so:

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

$Z = \frac{90 - 79}{11.3}$

$Z = 0.97$

$Z = 0.97$ has a p-value of 0.8340.

1 - 0.8340 = 0.166

The proportion of students that scored an A is 0.166.

Probability that 6 students or more will score an "A" on the final exam:

Binomial distribution.

22 students, which means that $n = 22$

The proportion of students that scored an A is 0.166, which means that $p = 0.166$

The probability is:

$P(X \geq 6) = 1 - P(X < 6)$

In which

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

Then

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{22,0}.(0.166)^{0}.(0.834)^{22} = 0.0184$

$P(X = 1) = C_{22,1}.(0.166)^{1}.(0.834)^{21} = 0.0807$

$P(X = 2) = C_{22,2}.(0.166)^{2}.(0.834)^{20} = 0.1687$

$P(X = 3) = C_{22,3}.(0.166)^{3}.(0.834)^{19} = 0.2239$

$P(X = 4) = C_{22,4}.(0.166)^{4}.(0.834)^{18} = 0.2117$

$P(X = 5) = C_{22,5}.(0.166)^{5}.(0.834)^{17} = 0.1517$

Then

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0184 + 0.0807 + 0.1687 + 0.2239 + 0.2117 + 0.1517 = 0.8551$

$P(X \geq 6) = 1 - P(X < 6) = 1 - 0.8551 = 0.1449$

Thus

0.1449 = 14.49% probability that 6 students or more will score an "A" on the final exam.

For a problem that used the normal distribution, you can check brainly.com/question/15181104, and for a problem that used the binomial distribution, you can check brainly.com/question/15557838

3 0

3 years ago

good morning :) The train to San Fernando travels 120 miles per hour. How long will or trip take if San Fernando is 750 miles aw

Art [367]

Answer: A 6 hours 15 minutes

Step-by-step explanation:

Time = Distance / Speed

Time = 750 / 120

= 6.25 hours

5 0

3 years ago

Read 2 more answers