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vodomira [7]
3 years ago
7

Consider three events A, B and C with following properties.

Mathematics
1 answer:
lisov135 [29]3 years ago
5 0
By the inclusion/exclusion principle,

\mathbb P(D)=\mathbb P(A\cup B\cup C)
\mathbb P(D)=\mathbb P(A)+\mathbb P(B)+\mathbb P(C)-\bigg(\mathbb P(A\cap B)+\mathbb P(A\cap C)+\mathbb P(B\cap C)\bigg)+\mathbb P(A\cap B\cap C)
\mathbb P(D)=\dfrac14+\dfrac16+\dfrac14-\dfrac39+\dfrac1{13}
\mathbb P(D)=\dfrac{16}{39}\neq1

So the union of A, B, and C does not constitute the entire sample space.
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If there were 49 cars in a line that stretched 528 feet, what is the average car length? assume that the cars are lined up bumpe
lakkis [162]

If there were 49 cars in a line that stretched 528 feet, what is the average car length? assume that the cars are lined up bumper-to-bumper

Answer: We are given there are 49 cars

Also these 49 cars are in a line stretched 528 feet.

Now the average length of the car is:

Average length = \frac{(length-covered-by-49-cars)}{Number-of-cars}

                          =\frac{528}{49}=10.78

Therefore, the average length of car is 10.78 feet

                 

6 0
3 years ago
Chapters: 1.Integers
SCORPION-xisa [38]

Answer:

a) -12

b) -4

c)-2

Step-by-step explanation:

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b) pattern is minus 8

c) pattern is plus 4

4 0
3 years ago
Solve: -7(3+6x)=9(-5x+7)
Ivan

Answer:

x=28

Step-by-step explanation:

-7(3+6x)=9(-5x+7)

-21-42x=-45x+63

-21-42x-(-45x)=63

-21-42x+45x=63

-21+3x=63

3x=63-(-21)

3x=63+21

3x=84

x=84/3

x=28

7 0
3 years ago
Read 2 more answers
The Grand Canyon is approximately 29 kilometers long. Mariner Valley is a canyon on Mars that is approximately 212 kilometers lo
solong [7]
Mariner Valley is approximately 7.31 kilometers longer than the Grand Canyon.

32 · 35 simplified is 1120.

Are you sure you have the correct choices om your problem?
4 0
3 years ago
What is the slope of a line that contains the points (2,-7) and (-1, -6)
Bogdan [553]

Answer:

Slope = - 1/3

Step-by-step explanation:

Y2-Y1 / X2 - X1

8 0
2 years ago
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