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Viefleur [7K]
4 years ago
10

(15 POINTS) A student is chosen at random from a school. Why are the events "choosing a student of age group 5−10" and "choosing

a student of age group 11−15" mutually exclusive?
a) They are independent.
b) They are dependent.
c) A student can belong to only one age group.
d) A student can belong to both the age groups.
Mathematics
2 answers:
Lubov Fominskaja [6]4 years ago
7 0
They would indepedent a
Sati [7]4 years ago
4 0
In probability, you study the chances, odds or likelihood of the event occurring. This is determined by dividing the number of possibilities to the total number of events. But terms may come up such as 'mutually exclusive'. Suppose, event A is for students ages 5-10, while event B is for students ages 11-15. The events A and B are said to be mutually exclusive when they do not intersect or meet at some point. In other words, when a student is in group A, he cannot be in group B because that becomes invalid and untrue. That seems logical because a student cannot be both 6 years old and 12 years old, right?

Hence, the answer to this question is letter C.
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4 years ago
2(3y+5)+y=3 what are the steps to solving this?
Serga [27]

Answer:

Step-by-step explanation: Simplifying

2(3y + -5) + -2 = 3(y + -3)

Reorder the terms:

2(-5 + 3y) + -2 = 3(y + -3)

(-5 * 2 + 3y * 2) + -2 = 3(y + -3)

(-10 + 6y) + -2 = 3(y + -3)

Reorder the terms:

-10 + -2 + 6y = 3(y + -3)

Combine like terms: -10 + -2 = -12

-12 + 6y = 3(y + -3)

Reorder the terms:

-12 + 6y = 3(-3 + y)

-12 + 6y = (-3 * 3 + y * 3)

-12 + 6y = (-9 + 3y)

Solving

-12 + 6y = -9 + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.

-12 + 6y + -3y = -9 + 3y + -3y

Combine like terms: 6y + -3y = 3y

-12 + 3y = -9 + 3y + -3y

Combine like terms: 3y + -3y = 0

-12 + 3y = -9 + 0

-12 + 3y = -9

Add '12' to each side of the equation.

-12 + 12 + 3y = -9 + 12

Combine like terms: -12 + 12 = 0

0 + 3y = -9 + 12

3y = -9 + 12

Combine like terms: -9 + 12 = 3

3y = 3

Divide each side by '3'.

y = 1

Simplifying

y = 1

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