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Damm [24]
3 years ago
8

A standard deck of 52 cards has an additional card—a joker—added to it, making the total number of cards in the deck 53. a singl

e card is drawn from this deck. what is the probability that the single card drawn is a black king?
Mathematics
1 answer:
Tom [10]3 years ago
8 0
53 cards in total....2 black kings

P(picking a black king) = 2/53 = 0.037 = 3.7%
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The marginal price per pound (in dollars) at which a coffee store is willing to supply x pounds of Jamaican Blue Mountain coffee
il63 [147K]

Answer:

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

Step-by-step explanation:

We are given the following information in the question:

The marginal price per pound (in dollars) is given by:

p'(x) = \displaystyle\frac{208}{(x+7)^2}

where x is the supply in pounds.

P(x) = \displaystyle\int p'(x)~dx =\displaystyle\int\displaystyle\frac{208}{(x+7)^2}~dx\\\\P(x) = \frac{-208}{(x+7)} + c\\\\\text{where c is the constant of integration.}

The coffee shop is willing to supply 9 pounds per week at a price of $7 per pound.

Thus, we are given that

P(9) = 7

Putting the values, we get,

P(x) = \displaystyle\frac{-208}{(x+7)} + c\\\\P(9) = 7\\\\\displaystyle\frac{-208}{(9+7)} + c = 7\\\\c = 7 + \frac{208}{16} = 20

P(x) = \displaystyle\frac{-208}{(x+7)} + 20

Now, we have to find how many pounds it would be willing to supply at a price of $4 per pound.

P(x) = 4

P(x) = \displaystyle\frac{-208}{(x+7)} + 20 = 4\\\\\frac{-208}{x+7} = -16\\\\x + 7 = 13\\x = 6

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

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What are some ways you can make a rectangle 10,000 cm squared (I NEED A AWNSER QUICK)​
lidiya [134]

Answer:

2 longer sides would be 4000 each, so that's 8000 total

and the 2 shorter sides could be 1000 each, so that's 2000 total

8000+2000=10,000

Step-by-step explanation:

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dawn has a rug with a perimeter of 32 feet the width of her rug is 6 feet what is the length in feet of dawns rug
puteri [66]
6*2=12
32-12=20
20/2=10.
Perimeter is all the way around an object. So take 6 two times and minus that from 32. Answer of that divide by 2 to get the length. Length of one side is 10 ft.
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Half of a number decreased by 27
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"Half of a number decreased by 27" can be displayed as:

<u>1/2x - 27</u>

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Combine the like terms to create an equivalent expression:<br>-5r+8r+5​
Olegator [25]
Answer : 3r+5 hope this helps!
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