PLEASE HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Which of the following numbers is a composite number that is divisible by 5?

Anna007 [38]

<span>All multiples of 5 of divisible by 5, so pick any 5 of them you like: 5, 10, 15, 20, 25, 30</span>

4 0

3 years ago

There are 50 students in a calculus class. The amount of time needed for the instructor to grade a randomly chosen midterm exam

natta225 [31]

Answer:

14.46% probability that the instructor can finish grading in 4 and a half hours

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.

For sums of n values from a distribution, the mean is $n\mu$ and the standard deviation is $s = \sqrt{n}\sigma$

In this problem, we have that:

$\mu = 6*50 = 300, s = \sqrt{50}*4 = 28.2843$

What is the probability that the instructor can finish grading in 4 and a half hours

Four and half hours is 4.5*60 = 270.

So this probability is the pvalue of Z when X = 270.

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

By the Central Limit Theorem

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

$Z = \frac{270 - 300}{28.2843}$

$Z = -1.06$

$Z = -1.06$ has a pvalue of 0.1446

14.46% probability that the instructor can finish grading in 4 and a half hours

8 0

3 years ago

Two million three hundred and twenty thousand five hundred and two as a number

dem82 [27]

2,320,502 <=== Two million, three-hundred and twenty thousand five hundred and two

6 0

3 years ago

Read 2 more answers

Someone please help me

iogann1982 [59]

The correct answer is: [B]: " 9.6 cm " .
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Explanation:
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Let "FH" = "x" ; for which we wish to solve.

45 cm / 12 cm = 36 cm / "x" (in "cm") ;

To solve for "x" ;

Cross--multiply:

Note: Given:

" $\frac{a}{b} = \frac{c}{d}$ " ; " ad = bc " ; (b ≠ 0 ; d ≠ 0) ;

So: " 45x = 12 * 36 " ;

→ 45x = 432 ;

Divide each side of the equation by "45" ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ 45x / 45 = 432 / 45 ;

→ x = 9.6 cm ;
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→ which corresponds with:
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→ Answer choice: [B]: " 9.6 cm " .
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Hope this answer — and explanation — helps!
Best wishes in your academic pursuits!
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8 0

4 years ago

What is the surface area of a rectangular prism with length 5 centimeters width 2 centimeters and height 3 centimeters

yawa3891 [41]

Area is 62 centimeters

6 0

3 years ago

Read 2 more answers