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frozen [14]
4 years ago
10

3x² + (4x – x) + 7 – (2x – 1) Which expression is equivalent to this

Mathematics
1 answer:
Airida [17]4 years ago
6 0

Answer:

3x² + x + 8

Step-by-step explanation:

3x² + (4x - x) + 7 - (2x - 1)

Solve what's inside the parenthesis first.

3x² + 3x + 7 - 2x + 1

Combine like terms.

3x² + x + 8

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What's the probability of the compound event for. A bag contains 4 red, 8 blue, 6 yellow and 2 green marbles. Maria selects a ma
Nataly [62]

Given:

Number of red marbles = 4

Number of blue marbles = 8

Number of yellow marbles = 6

Number of green marbles = 2

To find:

The probability of getting a blue marble then a red marble, i.e., P(blue, red).

Solution:

Using the given information,

The total number of marbles = 4+8+6+2

                                                = 20

Probability of getting a blue marble in first draw is

P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}

P(Blue)=\dfrac{8}{20}

P(Blue)=\dfrac{2}{5}

Maria selects a marble, puts it back and then selects a second marble. It means the total number of marbles remains the same.

P(red)=\dfrac{\text{Number of red marbles}}{\text{Total number of marbles}}

P(red)=\dfrac{4}{20}

P(red)=\dfrac{1}{5}

Now, the probability of getting a blue marble then a red marble is

P(blue,red)=\dfrac{2}{5}\times \dfrac{1}{5}

P(blue,red)=\dfrac{2}{25}

Therefore, the required probability P(blue, red) is \dfrac{2}{25}.

5 0
3 years ago
There are 4 Board of Directors positions open. 2 will be for men, 2 will be for women.
ZanzabumX [31]

Answer:

4290

Step-by-step explanation:

Lets find the total number of men and women .

9 women are out and 2 became the member of the Board=> total 11 women

11 men are out and 2 became the member of the Board=> total 13 men

11 women-candidates for 2 positions can make C11 2  outcomes =11!/(11-2)!/2

13 men-candidates for 2 positions can make C13 2 outcomes= 13!/(13-2)!/2

The total number of outcomes is C11 2 *C13 2 = 13!*11!/9!/11!/2/2=

10*11*12*13/2/2=11*13*5*6=4290 outcomes

5 0
3 years ago
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