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slava [35]
3 years ago
14

Order from least to greatest 14,20,15,10,7,12,14,15,10

Mathematics
2 answers:
Nikolay [14]3 years ago
8 0

Answer:

7, 10, 10, 12, 14, 14, 15, 15, 20

Step-by-step explanation:

The numbers are in order from least to greatest. With this order, you can also easily calculate the mean, median, range and mode if necessary.

defon3 years ago
3 0

Answer:

7 10 10 12 14 14 15 15 20

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n 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to comp
Zarrin [17]

Answer:

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

Step-by-step explanation:

For each runner, there are only two possible outcomes. Either they finished the marathon, or they did not. The probability of a runner completing the marathon is independent of any other runner. This means that the binomial probability distribution is used 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.

97.4% finished:

This means that 100 - 97.4 = 2.6% = 0.026 did not finish, which means that p = 0.026

100 runners are chosen at random

This means that n = 100

Find the probability that at least 5 of them did not finish the marathon

This is:

P(X \geq 5) = 1 - P(X < 5)

In which

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

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

P(X = 0) = C_{100,0}.(0.026)^{0}.(0.974)^{100} = 0.0718

P(X = 1) = C_{100,1}.(0.026)^{1}.(0.974)^{99} = 0.1916

P(X = 2) = C_{100,2}.(0.026)^{2}.(0.974)^{98} = 0.2531

P(X = 3) = C_{100,3}.(0.026)^{3}.(0.974)^{97} = 0.2207

P(X = 4) = C_{100,4}.(0.026)^{4}.(0.974)^{96} = 0.1429

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0718 + 0.1916 + 0.2531 + 0.2207 + 0.1429 = 0.8801

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.8801 = 0.1199

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

4 0
3 years ago
Y=3x-2<br>how would you graph this? send help​
alukav5142 [94]

Shown in the figure below

<h2>Explanation:</h2>

First of all, we have the following equation:

y=3x-2

This is the equation of a line given in Slope-intercept form as the form:

y=mx+b \\ \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept

So this line passes through the point (0,-2) which is the y-intercept. To graph this line, we'd need another point. So let set y=0:

0=3x-2 \\ \\ Isolating \ x: \\ \\ 3x=2 \\ \\ x=\frac{2}{3}

So another point is:

(\frac{2}{3},0)

Finally, we graph a line that passes through these two points:

(0,-2) \ and \ (\frac{2}{3},0)

This is shown in the figure below.

<h2>Learn more:</h2>

Graph of a line: brainly.com/question/13772202#

#LearnWithBrainly

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Given 4x+5y what is the slope of this line
Delicious77 [7]
The slope 4x becuse the x in question is the answer
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