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Elenna [48]
3 years ago
7

Which is the solution of the following system of equations: 2x + y = 4 3x – y = - 14

Mathematics
1 answer:
murzikaleks [220]3 years ago
3 0

2x + y = 4 \\ 3x - y =  - 14

Lets add 2 equations

5x =  - 10 \\ x =  - 2

Now we need to put x into any equation

2 \times ( - 2) + y = 4 \\  - 4 + y = 4 \\ y = 8

Answer: (-2; 8)

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a game where two players each throw two dice each. if any one die matches the other, you win a dollar. if there is no match, you
nadezda [96]

Yes, I would play the game, because the probability of winning is 13/18.

Probability:

Probability refer the possible occurrence of any particular event.

Given,

A game where two players each throw two dice each. if any one die matches the other, you win a dollar. if there is no match, you lose a dollar.

Here we need to find whether we able to play this one or not.

To find that one, first, we have to identify the winning scenarios,

Let us consider five winning scenarios. Lets represent the dice outcomes as A, B, C, and D, where your dice are A and B and the other player's are C and D. The five scenarios are:

1) A = B

2) A = C

3) A = D

4) B = C

5) B = D

We know that the total possible outcomes is 6^4. We can go through each scenario and count the possible outcomes. We must be careful to avoid overcounting.

Based on this,

The probability that none match is

=> 6*5*4*3/6^4

=> 360 / 1296

=> 5 / 18

So, probability of winning is,

=> 1 - 5/18

=> 13/18.

So, based on the probability the chance of winning is high. So, we can play it.

To know more about Probability here.

brainly.com/question/11234923

#SPJ4

5 0
1 year ago
Solve this please help me
densk [106]

Answer:

1/2 or 0.5

Hope it helps!

7 0
2 years ago
Read 2 more answers
When 8 is subtracted from Ollie’s age, the result is the same as subtracting 16 from 3 times his age.
Scilla [17]
X - Ollie's age

8 is subtracted from Ollie's age = x-8
the result is the same as
subtracting 16 from 3 times his age = 3x-16

x-8=3x-16 \\
x-3x=-16+8 \\
-2x=-8 \\
x=4

Ollie is 4 years old.
5 0
2 years ago
Read 2 more answers
What is the slope of the line through points (0,6) and (5,-4)
anastassius [24]
The slope between the points (x1,y1) and (x2,y2) is
slope=(y2-y1)/(x2-x1)

(0,6) and (5,-4)
x1=0
y1=6
x2=5
y2=-4

slope=(-4-6)/(5-0)=-10/5=-2
slope=-2
7 0
3 years ago
Find the area of the figure and type your result in the empty box.
pentagon [3]

Answer:

iyge4dutgn

Step-by-step explanation:

n8uj98ju6g

8 0
2 years ago
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