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aksik [14]
3 years ago
9

You pick cards one at a time without replacement from an ordinary deck of 52 playing cards. what is the minimum number of cards

you must pick in order to guarantee that you get a pair?a. a pair (for example, two kings or two 5s). b. three of a kind (for example, three 7s).
Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0

Answer:

a) 2

b) 3

Step-by-step explanation:

supposing you got lucky or the deck wasn't shuffled, the first 2 cards could very well be a pair (or the first 3 a three of a kind)

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AlladinOne [14]

He'll spend 138.91 dollars.

First multiply 427 and 231 to find out how much square feet you need to cover. Then divide the number by 3500 to see how many bags of fertilizer you need. Since there is a remainder, he'll have to buy another bag. Then, multiply the number of bags needed with the price of each bag to get the amount of money spent.

3 0
3 years ago
Help is required, I am stuck
Natalija [7]

Answer:

see explanation

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 7 + 4

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± \sqrt{11} ( subtract 2 from both sides )

x = - 2 ± \sqrt{11}

Thus

x = - 2 - \sqrt{11} ≈ - 5.32 ( to 2 dec. places )

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8 0
3 years ago
A spring has natural length 20 cm. Compare the work W1 done in stretching the spring from 20 cm to 30 cm with the work W2 done i
Ksju [112]

Answer:

W₂ is three times W₁ (W₂ = 3W₁)

Step-by-step explanation:

Applying,

W = ke²/2............. Equation 1

Where W = workdone in stretching the spring, k = spring constant, e = extension.

For W₁,

W₁ = ke₁²/2

Given: e₁ = 30-20 = 10 cm = 0.1 m

Substitute these value into equation 1

W₁ = k(0.1²)/2

W₁ = 0.005k Joules

For W₂,

W₂ = (ke/2)-W₁

Given: e = (40-20) = 20 cm = 0.1 m

Substitute these value into equation 1

W₂ = (k×0.2²/2)-0.005

W₂ = 0.015k Joules.

W₂/W₁ = 0.015k/0.005k

W₂/W₁ = 3

Therefore,

W₂ = 3W₁

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3 years ago
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