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KATRIN_1 [288]
3 years ago
14

If P(A) = 0.25, P(B) = 0.60 and P(A and B) = 0.15, are the event A and B independent? Explain/show work.

Mathematics
1 answer:
babymother [125]3 years ago
7 0

Answer:

event A and B are independent because  P(A and B)  = P(A) x P(B) = 0.15

Step-by-step explanation:

When two events are independent, the probability of both occurring is the product of their separate probabilities, as expressed below;

P(A and B)  = P(A) x P(B)

Given;

P(A) =  0.25

P(B) = 0.60

P(A and B) = 0.15

Now, let's check if  P(A and B) will be equal to P(A) x P(B)

P(A) x P(B) =  0.25 x 0.60 = 0.15

P(A and B)  = P(A) x P(B), thus event A and B are independent.

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Answer:

Just as forest habitat can affect deer, deer can affect forests. ... High deer populations can degrade vegetation communities and habitat for other wildlife species. Without that, no one has a place to call home.

Step-by-step explanation:

8 0
3 years ago
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X plus 9 divided by 7 equals 3
zavuch27 [327]

Answer- <em>X=12</em>

Step-by-step explanation:

X + 9/7 = 3 is our equation

Then we are going to do the opposite of dividing 7 from 9 which is multiplying  7 from 9. (on both sides)

It will leave us with - X + 9 = 21

Then we will do the opposite of adding 9 to X which is subtracting 9 from X. (also on both sides) ( whenever you do any adding or subtracting or multiplying or dividing on one side you have to do it on the other for the equation to be true)

Now it will leave us with X = 12

And that's our answer! :>

7 0
2 years ago
Ali hops on his 3 wheeler and heads off at 12 mph. Two hours later, Fatimah chases after him on a moped at 18 mph. How far will
mash [69]

Answer: 72 miles.

Step-by-step explanation:

We know the relationship:

Distance = speed*time.

Then we can write the equation for distance as a function of time for Ali as:

A(t) = 12mph*t

where t is time in hours.

Fatimah's equation will be:

F(t) = 18mph*(t - 2h)

where the -2h appears because she starts two hours after Ali.

Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)

Then we need to solve:

12mph*t = 18mph*(t - 2h)

12mph*t = 18mph*t - 18mph*2h

12mph*t = 18mph*t - 36 mi

36 mi = (18mph - 12mph)*t

36mi = 6mph*t

36mi/6mph = t

6h = t

So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:

A(6h) = 12mph*6h = 72 mi

3 0
2 years ago
The table shows the height of 5 students in inches what is the mean absolute deviation for these numbers
german

Answer:

4

Step-by-step explanation:

To find the mean absolute deviation (MAD), first find the mean (or average).

μ = (59 + 71 + 68 + 75 + 67) / 5

μ = 68

Next, subtract the mean from each value and take the absolute value.

|59 − 68| = 9

|71 − 68| = 3

|68 − 68| = 0

|75 − 68| = 7

|67 − 68| = 1

Sum the results and divide by the number of students.

MAD = (9 + 3 + 0 + 7 + 1) / 5

MAD = 4

3 0
3 years ago
I will give u brianliest
lianna [129]

Answer:

10.63

Step-by-step explanation:

8 0
3 years ago
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