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irinina [24]
2 years ago
8

Based on past experience, a building contractor sets the

Mathematics
1 answer:
Leni [432]2 years ago
6 0

Based on the cost of the contract and the probability to win it, the total expected value of the contract proposal is -$2500.

<h3>How to calculate the expected value of a contract proposal?</h3>

The general formula to calculate the expected value is:

  • Expected value: possibility of winnind the contract x the amount when winning - possibility of loing the contract x possible loss

  • Possibility of winning the contract= 0.10
  • Possibility of losing the contract = 0.90
  • Gain: $65000
  • Loss: $10000

<h3>What is the expected value of the contract?</h3>
  • Expected value: 0.10 x 65000 - 0.90 x 10000
  • Expected value: 6500 - 9000
  • Expected value: -$2500

Learn more about contract in: brainly.com/question/2669219

#SPJ1

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What set of reflections and rotations would carry rectangle ABCD onto itself? Parallelogram formed by ordered pairs A at negativ
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Answer:

Option (4).

Step-by-step explanation:

Let's take the coordinates of point A for the set of reflections and rotations given in the options.

Option (1). Rotate 180° → A(-4, 1) becomes (4, -1)

                Reflect over x-axis → (4, -1) becomes (4, 1)

                Reflect over the line y = x → (4, 1) becomes A'(1, 4)

Therefore, point A will not overlap itself after the number of transformations given.

Option (2). Reflect across x-axis → A(-4, 1) will become (-4, -1)

                  Rotate 180° → (-4, -1) becomes (4, 1)

                  Reflect over the x-axis → (4, 1) becomes A'(4, -1)

Therefore, point A(-4, 1) doesn't overlap A'(4, -1).

Option (3). Rotate 180° → A(4, 1) becomes (-4, -1)

                  Reflect over the y-axis → (-4, -1) becomes (4, -1)

                  Reflected over y = x → (4, -1) becomes (-1, 4)

So the point A(4, 1) becomes A'(-1, 4) after the set of reflections,

Option (4). Reflect over the y axis → A(-4, 1) becomes (4, 1)

                 Reflect over the x-axis → (4, 1) becomes (4, -1)

                 Rotate 180° → (4, -1) becomes A'(-4, 1)

Therefore, point A will overlap itself following the set of transformations.

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