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3 years ago

Compare the difference between an independent event and a dependent event

1 answer:

5 0

Independent/Dependent Events. Two events are independent if the result of the second event is not affected by the result of the first event. If and are independent events, the probability of both events occurring is the product of the probabilities of the individual events.

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Find the equation that has a slope of 4 and passes through the point (1,-2)

Sonbull [250]

Answer:

y=4x+2

Step-by-step explanation:

y=mx+b

-2=4(1)+b

-2=4+b

+4 +4

2=b

y=4x+2

7 0

3 years ago

Let S be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die

allochka39001 [22]

Answer:

E'∪F'=[1, 1], [1, 3], [1, 5], [3, 1], [3, 3] [3, 5],[5, 1], [5, 3], [5, 5], [2, 2], [2, 4], [2, 6]

[4, 2],[4, 4], [4, 6], [6, 2], [6, 4], [6, 6]

Step-by-step explanation:

Sample Space of the Two Dice is:

[1, 1], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6]

[2, 1], [2, 2], [2, 3], [2, 4], [2, 5], [2, 6]

[3, 1], [3, 2], [3, 3], [3, 4], [3, 5], [3, 6]

[4, 1], [4, 2], [4, 3], [4, 4], [4, 5], [4, 6]

[5, 1], [5, 2], [5, 3], [5, 4], [5, 5], [5, 6]

[6, 1], [6, 2], [6, 3], [6, 4], [6, 5], [6, 6]

E=At least one die shows an even number.

Sample Space of E

[1, 2], [1, 4], [1, 6]

[2, 1], [2, 2], [2, 3], [2, 4], [2, 5], [2, 6]

[3, 2] [3, 4], [3, 6]

[4, 1], [4, 2], [4, 3], [4, 4], [4, 5], [4, 6]

[5, 2], [5, 4], [5, 6]

[6, 1], [6, 2], [6, 3], [6, 4], [6, 5], [6, 6]

Complement of E

[1, 1], [1, 3], [1, 5], [3, 1], [3, 3] [3, 5],[5, 1], [5, 3], [5, 5]

F=At least one die shows an odd number

Sample Space of F

[1, 1], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6]

[2, 1], [2, 3], [2, 5],

[3, 1], [3, 2], [3, 3], [3, 4], [3, 5], [3, 6]

[4, 1], [4, 3], [4, 5]

[5, 1], [5, 2], [5, 3], [5, 4], [5, 5], [5, 6]

[6, 1], [6, 3], [6, 5],

Complement of F

[2, 2], [2, 4], [2, 6]

[4, 2],[4, 4], [4, 6]

[6, 2], [6, 4], [6, 6]

Therefore:

E'∪F'=[1, 1], [1, 3], [1, 5], [3, 1], [3, 3] [3, 5],[5, 1], [5, 3], [5, 5], [2, 2], [2, 4], [2, 6]

[4, 2],[4, 4], [4, 6], [6, 2], [6, 4], [6, 6]

8 0

3 years ago

What is 40 over 30 in decimal form

Inessa05 [86]

Answer:

$\frac{40}{30}$ = 1.33333

Infinite 3's

8 0

3 years ago

I need help with finding the least number that 12 14 and 16 go into equally

dimulka [17.4K]

Answer:

1 or 2

Step-by-step explanation:

Write down the numbers that go into each one

12: 1, 2, 3, 4, 6, 12

14: 1, 2, 7, 14

16: 1, 2, 3, 6, 8, 16

The numbers that all three have in common are 1 and 2

6 0

3 years ago

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What is the final transformation in the composition of transformations that maps pre-image ABCD to image A"B"C"D"?

Fynjy0 [20]

<span>

a 270-degree rotation about point B </span>

3 0

3 years ago

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