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fgiga [73]
3 years ago
13

Answer Please...I will give BRAINLIEST!!!

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0
Given that a fair die is rolled. We know there are six numbers in a fair die.
On rolling a die, the Sample space of the given event E = {1, 2, 3, 4, 5, 6}
Sample space of numbers less than 5 = {1, 2, 3, 4}
Clearly we can see that the number of favorable outcomes = 4
Hence, P(values less than 5) = 4/6 = 2/3.
To find the complement of rolling a number less than 5, we use the formula P' = 1 - P, where P' is the complement of P.
So, let P' be the complement probability of getting numbers less than 5
Now, P'(numbers less than 5) = 1 - P(numbers less than 5)
= 1 - 2/3
= 1/3.
Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is 1/3.
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lana66690 [7]

Answer:

Option B

40x + 50y = 130

5x - 4y = 16

Option C

20x + 25y = 65

-20x + 16y = 64

Step-by-step explanation:

we have

4x+5y=13 ----> equation a

10x-8y=-32 ----> equation b

we know that

If two system of equations are equivalent, then their solution is the same

Part 1)

step 1

Multiply by 10 equation a both sides

10(4x+5y)=10(13)

40x+50y=130 ----> equation a'

step 2

Divide by 2 equation b both sides

(1/2)(10x-8y)=(1/2)(-32)

5x-4y=-16 ----> equation b'

so

The system of equations a and b and the system of equations a' and b' are equivalent

therefore

The system of equations a' and b' have the same solution as the given system

Part 2)

step 1

Multiply by 5 equation a both sides

5(4x+5y)=5(13)

20x+25y=65 ----> equation a'

step 2

Multiply by -2 equation b both sides

-2(10x-8y)=-2(-32)

-20x+16y=64 ----> equation b'

so

The system of equations a and b and the system of equations a' and b' are equivalent

therefore

The system of equations a' and b' have the same solution as the given system

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svp [43]
$20.00-$6.25=?

?=13.75
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4 years ago
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