Four times the quantity of x minus five is equal to three times the quantity of x plus two
Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability that the team goes to the championship.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- His team has a p = 0.5 probability of winning each game.
- The team plays 3 games, hence n = 3.
The team moves to the championship if they win all three games, hence the probability is P(X = 3), given as follows:
0.125 = 12.5% probability that the team goes to the championship.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Horizontal cross sections are the same shape: they are all squares if the pyramid is square or rectangles if the pyramid is a rectangle pyramid.
Vertical cross sections are different shape: At the pyramid top they are triangles, at other places they have four sides.
Horizontal cross sections are different size: the more we go to the top of the pyramind, the smaller they get.
Vertical cross sections are different size: the closer we get to the edges, the smaller they become.
Answer:
25 liters
Step-by-step explanation:
15x + 45(5) = 20(x + 5)
15x + 225 = 20x + 100
Simplify
125 = 5x
Divide both sides by 5
25 = x
25 liters
<span>We convert the sentences to mathematical expressions as follows
"</span>Four times the sum of the least and greatest integers" : 4[n+(n+2)]
"is 12 less than three times the least integer": = 3n-12
So we have:
4[n+(n+2)]=3n-12 (this is the equation)
4[2n+2]=3n-12
8n+8=3n-12
8n-3n=-12-8
5n=-20
n=-20/5=-4
Answer: the equation is 4[n+(n+2)]=3n-12 , the least integer is -4