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2 years ago

Which linear function represents the line given by the point slope equation y+1=-3(x-5)

Mathematics

1 answer:

dangina [55]2 years ago

3 0

To find the linear form of a point-slope equation, simply solve for y:

y+1=-3(x-5)

<em>*Distribute the -3*</em>

y+1=-3x+15

<em>*Subtract 1 from both sides*</em>

y=-3x+14

Hope this helps!!

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2 years ago

5. Simplify. 6g + 9 + g-4*

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2 years ago

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2 years ago

Read 2 more answers

If you draw a card with a value of four or less from a standard deck of cards, I will pay you $162. If not, you pay me $45. (Ace

DanielleElmas [232]

Answer: 2.77

The expected value is positive, so you expect to gain on average $2.77 per draw.

================================================

Explanation:

Define two events

W = winning = getting a card 4 or less

L = losing = getting 5 or higher

P(W) = probability of winning

P(W) = 12/52 since there are 12 cards that are four or less out of 52

P(W) = 3/13 for any suit of 13, there are 3 cards that are four or less

P(L) = 1-P(W)

P(L) = 1-3/13

P(L) = 13/13 - 3/13

P(L) = 10/13

V(W) = net value of winning

V(W) = 162

V(L) = net value of losing

V(L) = -45

------------------

E(X) = expected value

E(X) = P(W)*V(W) + P(L)*V(L)

E(X) = (3/13)*162 + (10/13)*(-45)

E(X) = 36/13

E(X) = 2.76923076923077

E(X) = 2.77 rounding to two decimal places (to the nearest cent)

This game is in favor to the player since we got a positive expected value. A fair game would occur if the expected value was 0.

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2 years ago