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Luba_88 [7]
3 years ago
5

1.

Mathematics
1 answer:
mars1129 [50]3 years ago
5 0

Answer:

Step-by-step explanation:

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A card is drawn at random from a standard deck of playing cards (no jokers). If the card is a spade, the player wins $7; if it i
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The expected value of the game is the mean value of the game

The expected value of the game is $1

<h3>How to determine the expected value?</h3>

There are 13 spades in a deck of card of 52

So, the probability of selecting a spade is:

P(Spade) = 13/52

Simplify

P(Spade) = 1/4

Winning = $7

The probability of not selecting a spade is:

P(Not spade) = 1 - 1/4

Simplify

P(Not spade) = 3/4

Lose = $1

The expected value of the game is:

E(x) = \sum x * P(x)

This gives

E(x) = \frac 14 * 7 - 1 * \frac34

Simplify

E(x) = \frac 74 - \frac34

Evaluate

E(x) = 1

Hence, the expected value of the game is $1

Read more about expected values at:

brainly.com/question/15858152

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3 years ago
What’s the value of x in each triangle?
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Answer:

<u> </u><u>The</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>7</u><u>0</u><u>°</u><u>.</u>

Step-by-step explanation:

Let's name the angle to the right of 125° as 'y'.

y = 180 - 125 (linear pair)

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Now, we know that all the angles in a triangle sum up to 180°. (Angle Sum Property)

x = 180 - (55+55)

x = 180 - 110

<u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>0</u><u>°</u>

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