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Bezzdna [24]
3 years ago
7

What is the value of k used to find the coordinates of a point that partitions a segment into a ratio of 5:3?

Mathematics
2 answers:
Ulleksa [173]3 years ago
7 0
<span>Since the value of k can be determined by </span>dividing the numerator of the original ratio, which is 5, by the sum of the numerator and denominator of the ratio:<span>
(5+3)=8

Thus the value for  k = 5/8

</span>
Goryan [66]3 years ago
7 0

Answer:

\frac{5}{8}

Step-by-step explanation:

We are asked to find the value of k used to determine the coordinates of a point that partitions a segment into a ratio of 5:3.

The value of k would be 5 divided by the sum of 5 and 3.

k=\frac{5}{3+5}

k=\frac{5}{8}

Therefore, the value of k is \frac{5}{8}.

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Estimate the number of DVDs that will be checked out for every 100 patrons.
anastassius [24]

The number of DVDs that will be checked out for every 100 patrons will be 20.

<h3>How to find that a given condition can be modeled by binomial distribution?</h3>

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

 

X \sim B(n,p)

The probability that out of n trials, there'd be x successes is given by

P(X =x) = \: ^nC_xp^x(1-p)^{n-x}

The expected value of X will be:

E(X) = np\\

The information is given in the table.

The probability of getting DVDs will be

\rm p = \dfrac{2}{10}\\\\p=2

The value of n is 100.

Then the number of DVDs that will be checked out for every 100 patrons will be

\rm E(X) = 100 \times 0.2\\\\E(X) = 20

Learn more about binomial distribution here:

brainly.com/question/13609688

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5 0
2 years ago
A large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plast
Nataly [62]

Answer:

In the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these samples are consistent with what the company said.

Step-by-step explanation:

Given that a large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plastic chairs, and 15% choose metal chairs, and to investigate this claim researchers collected data from a random sample of the companys customers, whose results were 305 wood, 121 plastic, and 74 metal, to determine if the data from the sample consistent with the companys claim the following calculations should be performed:

305 + 121 + 74 = 500

500 = 100

305 = X

305 x 100/500 = X

30,500 / 500 = X

61 = X

500 = 100

121 = X

121 x 100/500 = X

12,100 / 500 = X

24.2 = X

100 - 61 - 24.2 = X

39 - 24.2 = X

14.8 = X

Therefore, in the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these are samples that are consistent with what the company said.

4 0
3 years ago
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Harman [31]
If one number is 8/15, you take the difference which 7/15.
5 0
3 years ago
Which statement is true about the distribution?
Minchanka [31]
The answer is 
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The IQR is the best measure of variability because the distribution has an outlier. 

Hoped I Helped I did the test</span>
5 0
3 years ago
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lation Rule On a coordinate plane, triangle A B C is shifted 4 units up and 3 units to the left to form triangle A prime B prime
sveta [45]

Answer:(x, y) ⟶ (x + 4, y + 2)

Step-by-step explanation:

4 0
3 years ago
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