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Alexus [3.1K]
2 years ago
8

Find the greatest common multiple (LCM) of 24 and 72

Mathematics
1 answer:
Verizon [17]2 years ago
8 0

Answer:

\huge\boxed{\bf\:72}

Step-by-step explanation:

We need to find the LCM of 24, 72.

3|\underline{24, 72}\\2|\underline{8,24}\\2|\underline{4, 6}\\2|\underline{2, 3}\\3|\underline{1,3}\\1,1

LCM

= Multiply all the factors

= 3 × 2 × 2 × 2 × 3

= 72.

\rule{150pt}{2pt}

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4 years ago
A survey found that 31% of all teens buy soda (pop) at least once each week. Seven teens are randomly selected. The random varia
kumpel [21]

Answer:

The value of n is 7.

Step-by-step explanation:

For each teen, there are only two possible outcomes. Either they buy soda at least once each week, or they do not. Since they were selected randomly, the teens are independent of each other, which 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.

In the binomial distribution, we have that n is the size of the sample. In this question, seven teens are randomly selected, which means that the value of n is 7.

7 0
3 years ago
In a certain company, there were five candidates running for President. After the vots were tallied, it turned out that Victor,
Alborosie

Considering the situation described, the classification of the elections is given as follows:

  • David came in first place.
  • Greg came in second place.
  • Victor came in third place.
  • Mac came in fourth place.
  • Bill came in fifth place.

<h3>How to find the classification of the elections?</h3>

We take the situation that is described, and build the classification from it. The classification has the following format:

P1 - P2 - P3 - P4 - P5

With P1 being the first placed candidate, P2 being the second placed candidate, and so on until P5 which is the fifth placed candidate.

From the text given in this problem, we have that:

  • Victor finished in third place, and David beat him, hence P3 = Victor, David = P1 or P2.
  • Greg didn't come in first nor in last, hence, considering that Victor is P3, Greg = P2 or P4.
  • Mac didn't win, but he finished higher than Bill, hence, considering that Mac didn't win and that Victor is P3, Mac = P4, Bill = P5.
  • From the bullet points above, we can conclude that David = P1, Greg = P2.

Hence the places of each candidate are given as follows:

  • David came in first place.
  • Greg came in second place.
  • Victor came in third place.
  • Mac came in fourth place.
  • Bill came in fifth place.

A similar problem, in which a situation is interpreted, is given at brainly.com/question/5660603

#SPJ1

7 0
2 years ago
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