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3 years ago

What is the lowest and highest grade average in the class respectively?

Mathematics

1 answer:

sineoko [7]3 years ago

7 0

$\Huge\bf \rightarrow \mid\mathcal{\underline{ \purple{Answer}}} \mid$

<u> -76 and 95 is the lowest and highest grade average in the class, respectively.</u>

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After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only three women among the last

mixer [17]

Answer:

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

Step-by-step explanation:

For each employee hired, the are only two possible outcomes. Either it is a man, or it is a woman. The probability of a person hired being a man or a woman is independent of any other person. This means that we use the binomial probability distribution to solve this question.

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 $C_{n,x}$ 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.

21 new employees.

This means that $n = 21$

She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.

This means that $p = 0.5$

Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired.

This is

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

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

$P(X = 0) = C_{21,0}.(0.5)^{0}.(0.5)^{21} \approx 0$

$P(X = 1) = C_{21,1}.(0.5)^{1}.(0.5)^{20} = 0.00001$

$P(X = 2) = C_{21,2}.(0.5)^{2}.(0.5)^{19} = 0.0001$

$P(X = 3) = C_{21,3}.(0.5)^{3}.(0.5)^{18} = 0.0006$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.00001 + 0.0001 + 0.0006 = 0.00071$

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

8 0

3 years ago

1.875 divided by 500 word problems

maksim [4K]

Answer:

0.00375

Step-by-step explanation:

4 0

3 years ago

Please help will give brainlist

RoseWind [281]

6(x²-4x+4-4)+1=0, 6(x-2)²-24+1=0, 6(x-2)²=23, x-2=±√(23/6), x=2±√(23/6)=2±1.95789, so x=3.95789 or 0.04211 approx. These are the zeroes.

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3 years ago

Read 2 more answers

Eric is comparing the credit scores of his friends. The scores he gathered are found in the table below. 588 838 691 818 846 725

alukav5142 [94]

To solve this, we need to know how to find the mean of a set of data and how to find the median of a set of data.

To find the mean, or often called the average, we should add all of the values up, and then divide it by the number of values.

588+838+691+818+846+725+605+732+750 = 6593
6593/9=732.556

The problem tells us we should round to the nearest point, so our mean credit score is 733.

To find the median, we need to order the data from lowest to highest and find out which credit score(s) are right in the middle. If there are 2 in the middle, we simply should add them and divide by 2 to get our median. An easy way to do this is after you order them, you simply cross off one on each side until there is only 1 (or 2) left.

588 605 691 725 732 750 818 838 846
605 691 725 732 750 818 838
691 725 732 750 818
725 732 750
732

Since we only have one number in the middle, we are done with the median! We know our median is 732.

Now we simply need to compare them and subtract the lower one from the higher one.

Mean:733
Median: 732
733>732

We know the mean is bigger, so we should subtract the median from the mean.

733=732=1

Using the logic above, we can see that the mean is 1 point higher than the median.

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3 years ago

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"Tim's lawn is 20 meters by 30 meters. If Tim can mow 8 square meters of grass per minute, how long will it take him to mow the

frosja888 [35]

One hour and a half

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3 years ago