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andre [41]
2 years ago
6

The numbers 1-4 are each written on an index card. The 4 cards are put into a bag and 2 of them are drawn at random. What is the

probability that the sum of the two cards drawn are greater than 5? I actually know the answer to this question (1/3), however, I don’t know how to solve it; please include an explanation.
Mathematics
1 answer:
devlian [24]2 years ago
7 0

Answer:

Step-by-step explanation:

Write a list of all possible outcomes

1-2

1-3

1-4

2-1

2-3

2-4

3-1

3-2

3-4

4-1

4-2

4-3

There are 12 possible outcomes. How many of them have totals of 6 or 7

I count 4

So the probability is 4/12 = 1/3, just as you said.

Is there an easier way?

You might be able to get the 12 easier.

You have 4 choices for the first number and 3 for the second.

P(12) = 4*3 = 12

Getting 6 or 7 might be somewhat trickier.

4 and 3 make seven. That gives two ways 4-3 and 3-4

4 and 2 make six. That gives 2 more ways 4-2 and 2-4

That's all that's possible.

answer: 4 ways make success. The total number of ways is 12.

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2(x-3)=2x-6 is an example of which property
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2 years ago
You go to an arcade and purchase a card with game credits. After playing 5 games you have 33 credits left. You play 4 more games
Amanda [17]

Answer:

y=-3x+48

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: y=mx+b, where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: m=\frac{y_2-y_1}{x_2-x_1},

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Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.

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y=-3x+48

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6 0
3 years ago
Point M is the midpoint of AB . AM=3x+3, and AB=8x−6.<br><br> What is the length of AM?
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AB=2AM
AM=AB/2
AM=(8x-6)/2
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x=6

AM=3x+3
AM=3(6)+3
AM=18+3
AM=21
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3 years ago
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