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Allushta [10]
3 years ago
5

A movie theater has a seating capacity of 379. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

There are half as many adults as there are children. If the total ticket sales was $ 2746, How many children, students, and adults attended?
Mathematics
1 answer:
ELEN [110]3 years ago
8 0

Answer:

ifiediuyuhrhhxydjfhf

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Answer:

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Step-by-step explanation:

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What is the probability that she chose the four students so that exactly ONE of them is a junior?
8090 [49]

Answer:

  B)  0.246

Step-by-step explanation:

The desired probability is the sum of the probabilities of each of the ways one junior can be chosen. If we let a, b, c, d represent the ratio of juniors in classes 1 to 4, then this probability is ...

  p(1 junior) = (a)(1-b)(1-c)(1-d) + (1-a)(b)(1-c)(1-d) + (1-a)(1-b)(c)(1-d) + (1-a)(1-b)(1-c)(1-d)

We can simplify this a little bit to ...

  p(1 junior) = (1-a)(1-b)(1-c)(1-d) × (a/(1-a) +b/(1-b) +c/(1-c) +d/(1-d))

___

So, for {a, b, c, d} = {9/15, 12/15, 6/15, 3/15} = {3/5, 4/5, 2/5, 1/5} the probability of interest is ...

  p(1 junior) = (2/5·1/5·3/5·4/5) × (3/2 + 4/1 + 2/3 + 1/4) = 24/625 × 77/12

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_____

<em>Comment on the sum we're computing</em>

Each of the probabilities in the first sum above is ...

  p(junior in given class) · p(not a junior in the other 3 classes)

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3 years ago
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James used substitution to solve this system of equations which equation could be the result of his first step?
vaieri [72.5K]

Answer: OPTION D.

Step-by-step explanation:

<h3> The compete exercise is: "James used substitution to solve this system of equations. Which could be the result of his first step</h3><h3> \left \{ {{2x+3y=12} \atop {y=x+1.5}} \right.\\\\\\A.y=2x+3y\\B.y=2x+3y+1.5\\C.2x+3x+1.5=12\\D.2x+3(x+1.5)=12 "</h3>

Given the sytsem of equations:

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1-  Solve for one of the variables from any equation and substitute it into the other equation.

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3-  Substitute this value  back into one of the original equations. and find the value of the other variable.

In this case youu can observe that the second equation is already solved for "y", therefore, in  order to use the Substitution Method, the first step is: Substitute the second equation into the first one.

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5 0
4 years ago
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