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makkiz [27]
3 years ago
13

Which is the best approximation for the solution of the system of equations? y = x + 1 y = 3x – 2

Mathematics
2 answers:
Jlenok [28]3 years ago
8 0
B. (0.88,0.65) would be the closest approximation for this system of these choices.
Goshia [24]3 years ago
4 0

The given equations are  y = x + 1and y = 3x – 2

Substituting y value in equation 1 from 2 we have :

3x-2=x+1

Subtracting x both sides

3x-x-2=1

2x-2=1.

Adding 2 both sides

2x=3

Dividing by 2

x=1.5.

Substituting x value in y=x+1

y=1.5+1.

y=2.5.

Solution is (1.5,2.5)

The approximate solution  is B. (0.88, 0.65)

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Step by step please and thank you.
cupoosta [38]

Answer:

  the probability is 2/9

Step-by-step explanation:

Assuming the coins are randomly selected, the probability of pulling a dime first is the number of dimes (4) divided by the total number of coins (10).

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Then, having drawn a dime, there are 9 coins left, of which 5 are nickels. The probability of randomly choosing a nickel is 5/9.

The joint probability of these two events occurring sequentially is the product of their probabilities:

  p(dime then nickel) = (2/5)×(5/9) = 2/9

_____

<em>Alternate solution</em>

You can go at this another way. You can list all the pairs of coins that can be drawn. There are 90 of them: 10 first coins and, for each of those, 9 coins that can be chosen second. Of these 90 possibilities, there are 4 dimes that can be chosen first, and 5 nickels that can be chosen second, for a total of 20 possible dime-nickel choices out of the 90 total possible outcomes.

  p(dime/nickel) = 20/90 = 2/9

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