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Rom4ik [11]
3 years ago
6

Which statement is true about whether Z and B are independent events?

Mathematics
1 answer:
adoni [48]3 years ago
7 0

Answer:

Z and B are independent events because P(Z∣B) = P(Z).

Step-by-step explanation:

After a small online search, I've found a table to complete this problem, that we can see below.

For two events Z and B, we have:

P(Z|B) = probability of Z given that B

such that:

P(Z|B) = P(Z∩B)/P(B)

So, two events are independent if the outcome of one does not affect the outcome of the other.

So, if the probability of Z given B is different than P(Z) (the probability of event Z) means that the events are not independent.

So Z and B are independent if the probability of Z given B is equal to the probability of Z.

P(Z|B) = P(Z)

In the table we can see:

P(Z|B) will be equal to the quotient between all the cases of Z given B (126) and the total cases are given B (280)

P(Z|B) = 126/280 = 0.45

Similarly, we can find P(Z):

And P(Z) = 297/660 = 0.45

So we can see that:

P(Z|B) =  P(Z)

Thus, B and Z are independent.

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The compound interest on Rs. 50000 at 4% per annum for 2 years compound annually is
statuscvo [17]

Answer:

$54080

Step-by-step explanation:

Step one:

given

principal= Rs. 50000

rate= 4%= 0.04

time= 2 years

Required

The final Amount A

Step two

Applying

A= P(1+r)^t

substitute

A= 50000(1+0.04)^t

A= 50000(1.04)^2

A= 50000*1.0816

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6 0
3 years ago
(5x – 3y + 8) + (-3x + 6y - 3)​
Wewaii [24]

Answer:

2x+3y+5

Step-by-step explanation:

Firstly, we remove the parenthesis since there is nothing in front of it.

There is a “+” sign in front of the parenthesis, it stays the same.

Secondly, we combine like terms. We combine the x’s, the y’s, and the normal numbers without a variable.

Finally, after combining the like terms. You end up with “2x+3y+5”.

8 0
3 years ago
Another one, soon it'll be over (i hope)
maks197457 [2]

Answer:

24. 8 x 3.....................

6 0
2 years ago
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The kwon family has a rainwater catchment system they use to water their garden. the storage tank is 72 inches deep. three hours
atroni [7]

The tank is filling at the rate of (58-36) in/(5-3 h) = 22/2 = 11 in/h.

72-58 = 14 inches more to fill

<span>
The remaining 14 inches will be filled in
14 /11  = 1.27 , round to 1.3 hours</span>

 so total time would be 5 +1.3 = 6.3 hours


4 0
3 years ago
The expression 0.09x+(x-30) models the final price of a bicycle is its an instant rebate in a state that charges a sales tax. Th
svlad2 [7]

Answer:

<em>A)0.09x</em>

Step-by-step explanation:

The original price of the bicycle is x.

The discounted price of the bicycle is x - 30. It is a $30 discount.

The tax goes on the original price. 0.09x is the 9% tax applied to the original price x.

Answer: 0.09x

6 0
2 years ago
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