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goblinko [34]
2 years ago
15

Gillian and her friends are playing a card game using a standard deck, but without the aces. In the deck, there are 36 numbered

cards, 4 jacks, 4 queens, and 4 kings. The numbered cards are worth 1 point, jacks are worth 2 points, queens are worth 3 points, and kings are worth 4 points. Each person draws one card, writes down what its worth, and then puts it back. The player with the highest point total after 10 rounds wins. If there are 4 players playing the game, what is the best prediction for the amount of numbered cards that will be drawn during the game?
Mathematics
1 answer:
Nostrana [21]2 years ago
3 0

Answer:

30

Step-by-step explanation:

To find the best prediction for the amount of numbered cards that will be drawn during the game, first find the probability of drawing a numbered card. There are 36 numbered cards and 48 total cards. So, the probability of drawing a numbered card is  or .

Now, multiply the probability by the number of times a card will be drawn from the deck. Since there are 10 rounds and 4 players, a card will be drawn from the deck 10 × 4, or 40, times. So, multiply  by 40.

Therefore, the best prediction for the amount of numbered cards that will be drawn during the game is 30.

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Find MO and PR <br> ............................................................
ddd [48]

MO = 12 and PR = 3

Solution:

Given \triangle M N O \sim \Delta P Q R.

Perimeter of ΔMNO = 48

Perimeter of ΔPQR = 12

MO = 12x and PR = x + 2

<em>If two triangles are similar, then the ratio of corresponding sides is equal to the ratio of perimeter of the triangles.</em>

$\Rightarrow \frac{\text{Perimeter of }\triangle MNO}{\text{Perimeter of }\triangle PQR} =\frac{MO}{PR}

$\Rightarrow \frac{48}{12} =\frac{12x}{x+2}

Do cross multiplication.

$\Rightarrow 48({x+2})= 12(12x)

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Subtract 48x from both sides.

$\Rightarrow 48x+96-48x= 144x-48x

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