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Korvikt [17]
3 years ago
5

Suppose that a person's birthday is a uniformly random choice from the 365 days of a year (leap years are ignored), and one pers

on's birthday is independent of the birthdays of other people. alex, betty and conlin are comparing birthdays. define these three events: a = {alex and betty have the same birthday} b = {betty and conlin have the same birthday} c = {conlin and alex have the same birthday} are these events independent ?
Mathematics
1 answer:
maxonik [38]3 years ago
3 0
P ( A ∩ B ∩ C) = 1/365
P(A) = 1/365, P(B)= 1/365, P(C) = 365
If events A,B and C are independed then P (A ∩ B ∩ C) = P (A) P(B) P(C) must be true,
From the probabilities we have 
1/365≠ 1/365 * 1/365 * 1/365
Thus, events A,B, C are not independent.

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-1/2x>-2x - (-3/4x +1)
Sergeu [11.5K]
I neeeeeeeed it skkyvbnj
5 0
3 years ago
Given that y varies directly with x and that y = 60 when x = 20, find y when x = 12.
wolverine [178]

1.y varies directly with x

2.substitute the value of x and y in the equation below

y=kx

where k is the constant term

60=20k

k=60\20

k=30

:y=30x.....is the law

To find y when x is 12

You reinstate the law which is y=30x

Then substitutes the value of x to determine y

y=30*12

y=36.

8 0
3 years ago
If gasoline costs $47.86 for 12.5 gallons of gasoline, how much does it cost for 8 gallons?
g100num [7]

Answer:

8 gallons of gasoline costs $30.63.

Step-by-step explanation:

Set up a proportion to solve for x, or the cost of 8 gallons of gasoline. The $47.86 goes on top of the first ratio, and 12.5 goes on top of the second. This is because the $47.86 is the cost of the 12.5 gallons of gasoline. Next, put x on the bottom of the first ratio and 8 on the bottom of the second ratio. This is because the amount of money you are trying to find, x, is the cost of the 8 gallons of gasoline. The proportion should look like this: \frac{47.86}{x} = \frac{12.5}{8}

To solve the proportion, use cross multiplication. To do that, multiply 8 by 47.86 to get 382.88. Then, divide 382.88 by 12.5. The answer is 30.6304‬, so round to the nearest cent to get a total of $30.63.

I hope this helps! ☺

6 0
3 years ago
Line segment segment CD has a slope of negative start fraction two over three end fraction and contains point C(−3, −6). What is
Elanso [62]
For perpendicular lines, the slopes are negative reciprocals of one another. Therefore, the slope of QC = 3/2

Using this into the formula of slope:
3/2 = (y + 6) / (-1 + 3)
y = -9

If the slope of CD is 2/3, then y works out to be -3.
5 0
3 years ago
0.75 less than or greater than 1/3
8090 [49]
Greater because.75 is 3/4
8 0
3 years ago
Read 2 more answers
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