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asambeis [7]
3 years ago
12

The union of two events A and B is the event that: a) The intersection of A and B does not occur. b) Both A and B occur. c) Eith

er A or B or both occur. d) Either A or B, but not both occur. e) A and B occur at the same time. f) None of the above
Mathematics
1 answer:
Wewaii [24]3 years ago
6 0

Answer:

c) Either A or B or both occur.

Step-by-step explanation:

Suppose that we have two events

Event A

Event B

We have that:

A = a + (A \cap B)

In which a a happens and b does not and A \cap B is the probability that aboth events happen

By the same logic, we have that:

B = b + (A \cap B)

The union of events A and B is:

(A \cup B) = a + b + (A \cap B)

Which includes either one of them or both.

So the correct answer is:

c) Either A or B or both occur.

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I cant believe how bad my brother, Reuben, is at growing things. He bought a whole bunch of plants at the nursery the other day.
jeka94

Answer:

68 plants.

Step-by-step explanation:

Let x represent the number of plants that Reuben bought from the nursery.

We have been given that Reuben bought a whole bunch of plants at the nursery the other day. Right away, five died. So number of plant left would be x-5.

We are also told that then our dog dug up 2/9 of them. So number of plants left after dug-up would be \frac{2}{9}(x-5).

Further a rabbit came and ate ½ of what was left. So number of plants left would be \frac{\frac{2}{9}(x-5)}{2}=\frac{2}{9\times 2}(x-5)=\frac{1}{9}(x-5).

Since Reuben had only 7 plants left, so we will equate our expression with 7 and solve for x as:

\frac{1}{9}(x-5)=7

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3 years ago
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1)Parallel means they have to have the same slope. Since our equation is y=2/3x+1, a line parallel to that would be(using out points) -5=2/3(-4)+b.

To find the y-intercept, solve for "b".

b=-7/3

Our equation would then be y=2/3x-7/3

2)Perpendicular lines have opposite-reciprocal slopes. our previous equation was y=2/3x+1, so our new equation would be -5=-3/2(-4)+b. Now lets solve for b.

b=-11

So our perpendicular equation would be y=-3/2x-11

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3 years ago
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