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andre [41]
3 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]3 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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Triangles EFG and QRS are similar. The lengths of the sides of EFG are 72, 64, and 56. The length of the smallest side of QRS is
blsea [12.9K]

Answer:

180\ units

Step-by-step explanation:

we know that

If triangles EFG and QRS are similar

then

the scale factor is equal to the measure of the smallest side of triangle QRS divided by the smallest side of triangle EFG

so

Let

x-------> the smallest side of triangle QRS

y-------> the smallest side of triangle EFG

z-------> the scale factor

we have

x=140\ units, y=56\ units

substitute the values

z=\frac{140}{56}

z=2.5

Find the length of the longest side of QRS

The length of the longest side of QRS is equal to multiply the scale factor by the length of the longest side of EFG

so

2.5*72=180\ units

7 0
3 years ago
Read 2 more answers
Prove that the Greatest Integer Function f: R -> R given by f(x) = [x], is neither one-once nor onto, where [x] denotes the g
Karo-lina-s [1.5K]
F: R → R is given by, f(x) = [x]
It is seen that f(1.2) = [1.2] = 1, f(1.9) = [1.9] = 1
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f is not one-one

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So, f is not onto
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The answer was quite complicated but I hope it will help you.
8 0
3 years ago
Which expressions are equivalent to cos2(105°) – sin2(105°)? Check all that apply.
IgorLugansk [536]

Answer:

1,2,5

Step-by-step explanation:

Failed on EDG

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If w varies inversely with the square root of t and w = 5 when t = 49,
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x=k/y

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In a geometric sequence, the__<br> between consecutive terms is constant
kow [346]

Answer:

In a geometric sequence, the <u>ratio</u> between consecutive terms is constant.

Step-by-step explanation:

A geometric sequence is where you get from one term to another by multiplying by the same value. This value is known as the <u>constant ratio</u>, or <u>common ratio</u>. An example of a geometric sequence and it's constant ratio would be the sequence 4, 16, 64, 256, . . ., in which you find the next term by multiplying the previous term by four. 4 × 4 = 16, 16 × 4 = 64, and so on. So, in this sequence the constant <em>ratio </em>would be four.

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