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3 years ago

What is the probability that the card drawn is a diamond and a jack

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:

1/26=4/104

Step-by-step explanation:

The probability of pulling a diamond if completely shuffled properly, is a 1/4. Because there are 4 suits. This is only if, there are no jokers.

And the probability of pulling a jack, is a 4/51. Because there are 4 jacks out of the 51 cards, but you already pulled out a diamond card, so you take 1 out.

Multiply them together, and you will get 4/104 = 1/26

There is a 1/26 chance of pulling out a diamond card, then a jack.

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3 years ago

Solve for x. 7(1x - 3) = 4(x + 5)

alexandr1967 [171]

Answer:

x = 41/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

7(1x - 3) = 4(x + 5)

Step 2: Solve for x

Simplify: 7(x - 3) = 4(x + 5)
Distribute: 7x - 21 = 4x + 20
Subtract 4x on both sides: 3x - 21 = 20
Add 21 on both sides: 3x = 41
Divide 3 on both sides: x = 41/3

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 7(1(41/3) - 3) = 4(41/3 + 5)
Multiply: 7(41/3 - 3) = 4(41/3 + 5)
Subtract/Add: 7(32/3) = 4(56/3)
Multiply: 224/3 = 224/3

Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.

And we have our final answer!

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2 years ago

a person on a 2500 calorie diet states that they are healthier because they eat more veggies. explain why this is not accurate?

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Step-by-step explanation:

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2 years ago

What is the length of the hypotenuse of the triangle below?

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

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