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rosijanka [135]
3 years ago
9

A and B are independent events. P(A) = 0.30. P(B) = 0.60 What is P(A/B)?

Mathematics
1 answer:
Tomtit [17]3 years ago
8 0

Answer:

A and B are independent events.

P(A) = 0.30. P

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In a specific video game scenario, you are given 1,000 gold. You can either train marines to defend your base at 50 gold a piece
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Answer:

The system is:

                50m+200u\leq 1,000

                 u\leq 3

                 u\geq 0

                 m\geq 10

Step-by-step explanation:

The variables of your equations are:

       m=\text{number of marines}

       u=\text{number of upgrades}

The constraints, which become inequalities are:

<em><u>1. The total cost cannot be greater than 1,000 gold</u></em>

  • Cost of training m number of marines at 50 gold a piece:

               50m

  • Cost of purchasing u number of research weapon upgrades at 200 gold per upgrade:

                200u

  • Total cost:

                50m+200u

  • The cost is limited to 1,000 gold that you are given:

                50m+200u\leq 1,000

          That is the first inequality of your system

<em><u>2. The game allows a maximum of three upgrades:</u></em>

  • This sets an upper bound for the variable:

                   u\leq 3

  • Add the reasonable constraint that the number of upgrades cannot no be negative:

                   u\geq 0

<em><u>3. You know that you need at least ten marines trained to survive </u></em>

  • This sets a lower bound for the variable:

                  m\geq 10

And those are all the four inequalities that form your <em>system to describe the number of marines and the number of upgrades you can train/purchae in the game:</em>

                50m+200u\leq 1,000

                 u\leq 3

                 u\geq 0

                 m\geq 10

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3 years ago
What is the value of x in the equation 32(4x − 2) − 3x = 5 − (x + 2)?
sergey [27]

Answer: x = 67/126

Step-by-step explanation:

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