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kolbaska11 [484]
3 years ago
5

If two events are independent, then:

Mathematics
1 answer:
LuckyWell [14K]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Two events are said to be independent if the occurence of one event does not affect the occurence of the other.

Note:

A. there sum cannot be equal to 1

B. Mutually exclusive events are events with posibility of happening at thesame time

C. When intersection is zero, it means the set is empty, because intersection of an empty set is equal to an empty set

Thus, option D feels most appropriate

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Using a system of equations, it is found that Debbie worked 45 hours during the week.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Amount of hours worked by Juan.
  • Variable y: Amount of hours worked by Debbie.

Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:

9x + 9y = 765

Simplifying the expression by 9:

x + y = 85 -> x = 85 - y.

Debbie worked five hours more than juan during the week, hence:

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Since x = 85 - y, we replace in the expression:

y = 85 - y + 5.

2y = 90.

y = 45.

Debbie worked 45 hours during the week.

More can be learned about a system of equations at brainly.com/question/24342899

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When evaluating algebraic expressions, the first thing is to
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Answer:

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Step-by-step explanation:

(4x + 5) (3x + 1) -3 (x + 1)

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