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astra-53 [7]
4 years ago
5

You are certain to get a red card when selecting 27 cards from a shuffled deck. Express the indicated degree of likelihood as a

probability value between 0 and 1 inclusiv
Mathematics
1 answer:
fgiga [73]4 years ago
7 0

Answer:

If something is guaranteed, it has a probability of 100%, or 1.

Step-by-step explanation:

A standard deck has 52 cards. Of these, half are red cards (diamonds and hearts) and half are black cards (clovers and spades)

Half of the deck is 26 cards (52 ÷ 2 = 26), so you have 26 red and 26 black cards.

What this means in our context is, if we draw 27 cards, even if we drew all 26 black cards, we would still have 1 red card.

So the probability is 100%, or 1, of drawing a red card when we pick 27 cards from a deck, no matter how it's shuffled

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Mario took clothes to the cleaners three times last month. first, he brought 3 shorts and 1pair of slacks and $10.96. then, he b
valina [46]

Let us say that:

x = cost of shorts

y = cost of slacks

z = cost of sports coat

 

From the given statements, we can create the following equations:

eqtn 1: 3 x + y = 10.96

eqtn 2:  7 x + 2 y + z = 30.40

eqtn 3:  4 x + z = 14.45

 

Rewrite eqtn 1 explicit to y:

y = 10.96 – 3 x                    --> eqtn 4

 

Rewrite eqtn 3 explicit to z:

z = 14.45 – 4x                     --> eqtn 5

 

Plug in the values of y (eqtn 4) and z (eqtn 5) to eqtn 2:

7 x + 2 (10.96 – 3 x) + 14.45 – 4 x = 30.40

7 x + 21.92 – 6 x + 14.45 – 4 x = 30.40

- 3 x + 36.37 = 30.40

- 3 x = - 5.97

x = 1.99

 

Eqtn 4:

y = 10.96 – 3 x   

y = 10.96 – 3 (1.99)

y = 4.99

 

Eqtn 5:

z = 14.45 – 4x

z = 14.45 – 4 (1.99)

z = 6.49

 

 

Therefore each shirt cost $1.99, each slacks cost $4.99, and each sports coat cost $6.49.

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7 0
4 years ago
If x=3 and y= 2 cm what is the perimeter of the plygon
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Answer:

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Step-by-step explanation:

5 0
4 years ago
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HELP ME, THE MIDPOINT OF AB IS M (-4,-7). If the coordinates of A are (-7,-6) what are the coordinates of B?
hoa [83]

Answer:

(-1,-8)

Step-by-step explanation:

Multiply each value of midpoint by 2 and take away given points coordinates

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3 years ago
A bushel can contain 149,637 soybeans or 81,183 kernels of corn Jackson says there are 48,454 more soybeans than kernels of corn
grin007 [14]

Answer:

no jacksons answer is not reasonable

Step-by-step explanation:

try to subtract it

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Round off the nearest whole number 171.9296
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Your answer:172 Hope this helps:)
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