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marshall27 [118]
3 years ago
13

What is the probability that the card is either a black cardblack card or aa 99​?

Mathematics
1 answer:
DerKrebs [107]3 years ago
6 0
It sounds like your book is asking "what is the probability that the card is either a black card or a 9"

If so, there are 26 black cards (13 spades and 13 clubs) and four cards that have "9" on them (one in each suit). We have 26+4 = 30 cards that are either one or the other. There is overlap though. Namely the 2 black cards that have "9" on them (we count them twice), so we should subtract to get 30-2 = 28

There are 28 cards that either have a '9' on them, they are black, or both

This is out of 52 cards total

Divide the two values: 28/52 = 14/26 = 7/13 = 0.53846

Answer as a fraction: 7/13
Answer in decimal form: 0.53846
Answer as a percentage: 53.846%
Side note: the decimal form and percentage form are approximate
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Answer:

x = -\frac{3}{2} or x = 1

Step-by-step explanation:

Using the zero product property, first step is to set the given equation, 2x^2 + x - 1 = 2 , to zero. Then factorise the left side.

Thus,

2x^2 + x - 1 = 2

Subtract 2 from both sides

2x^2 + x - 1 - 2 = 2 - 2

2x^2 + x - 3 = 0

Factorise the left side

2x^2 + 3x - 2x - 3 = 0

x(2x + 3) - 1(2x + 3) = 0

(x - 1)(2x + 3) = 0

Find the solution

x - 1 = 0

Or

2x + 3 = 0

x = 1

Or

2x + 3 = 0

2x = -3

x = -\frac{3}{2}

The answer is: x = 1 or x = -\frac{3}{2}

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