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RideAnS [48]
3 years ago
11

Once a customer fills the car with gas at one station, that customer cannot then go fill the same car with gas at another statio

n right away. Are the outcomes E1, E2, E3, and E4 mutually exclusive? Explain.
Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

yes :- P ( Ei ∩ Ej ) = 0

Step-by-step explanation:

These are mutually exclusive events

that is, a customer can only go to a gas station to fill his car with gas par time

P(E1) = 1/4

P(E2) = 1/4

P(E3) = 1/4

P(E4) = 1/4

summation of the four probabilities give 1

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Please help on this one?
ki77a [65]

m = \frac{1}{2},   (x₁ , y₁) = (-2, -4)

y - y₁ = m(x - x₁)

y -(-4) = \frac{1}{2}(x - (-2))

y + 4 = \frac{1}{2}(x +2)

y + 4 = \frac{1}{2}x + 1

     y = \frac{1}{2}x - 3

Answer: A

5 0
3 years ago
Andy Taylor and Ben share their team payment in the ratio 1:3:4. What percentage of the total does Andy recieve?
slava [35]

Answer:

12.5%

Step-by-step explanation:

sum the parts of the ratio 1 + 3 + 4 = 8 parts

8 parts represents 100%, hence

1 part = \frac{100}{8} = 12.5% ← Andy's percentage of the total



3 0
3 years ago
The sum of the dibits of a two digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9
QveST [7]

Answer:

  78

Step-by-step explanation:

Interchanging the digits of a 2-digit number changes the value by a multiple of 9. The multiple is the difference between the digits of the number.

So, we have two digits that add to 15, and have a difference of 9/9 = 1. Since you're familiar with your addition facts, you know that the two digits are 7 and 8. Since the number we're looking for is the smallest of the numbers you can make with those digits, ...

  the original number is 78.

_____

More formally, let t and o represent the tens and ones digits of the original number.

  t + o = 15 . . . . . . the sum of digits is 15

  (10o +t) - (10t +o) = 9 . . . . swapping digits increases the value by 9

The latter equation simplifies to ...

  9o -9t = 9 . . . . collect terms

  o - t = 1 . . . . . . divide by 9 . . . (note the difference of digits is 9/9=1)

Adding this to the first equation gives ...

  (t +o) +(o -t) = (15) +(1)

  2o = 16

  o = 8

  t = o -1 = 7

The tens digit is 7 and the ones digit is 8: 78.

3 0
2 years ago
what is the volume of the prism given that each cube is defined by the fractional edge length of 1/3 inch
Diano4ka-milaya [45]
The equation for volume is length times width times height. So to solve this multiple 1/3x1/3x1/3 because 1/3 is the length, width , and height of the cube(cubes have equal sides). The answer should be 1/27 
3 0
3 years ago
A book cost $350 and bed cost $590. With a 13% commission rate, how much money did the sale clerk earn?
kow [346]

Answer:

A.

Step-by-step explanation:

Because I used the Internet.

:)

6 0
3 years ago
Read 2 more answers
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