If a • b = b, what must the value of a be?

Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A) = 0.1

love history [14]

The events A and B are independent if the probability that event A occurs does not affect the probability that event B occurs.
A and B are independent if the equation P(A∩B) = P(A) P(B) holds true.
P(A∩B) is the probability that both event A and B occur.
Conditional probability is the probability of an event given that some other event first occurs.
P(B|A)=P(A∩B)/P(A)
In the case where events A and B are independent the conditional probability of event B given event A is simply the probability of event B, that is P(B).
Statement 1:A and B are independent events because P(A∣B) = P(A) = 0.12. This is true.
Statement 2:A and B are independent events because P(A∣B) = P(A) = 0.25.
This is true.
Statement 3:A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25.
This is true.
Statement 4:A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25
This is true.

5 0

3 years ago

Read 2 more answers

Subtract 28.9 − 9.25 =_____

yaroslaw [1]

19.65 hope this helps :)

8 0

3 years ago

Read 2 more answers

when Best Buy sells a Samsung 32" flat screen television for $219.99, does the 32" represent the length, width, or diagonal of t

Varvara68 [4.7K]

Answer:

Diagonal

Step-by-step explanation:

The measure of a television is always indicated by providing the length of the diagonal, in inches.

In fact, the actual length and height of a 32" tv are:

- Length:

L = 27.9 inches

- Height:

h = 15.7 inches

For an object with a rectangular shape, such as the TV, the diagonal of the object can be found by using Pythagorean's theorem:

$d=\sqrt{L^2+h^2}$

where

L is the length of the rectangle

h is the height of the rectangle

Substituting the values above, we find:

$d=\sqrt{(27.9)^2+(15.7)^2}=32.0 in.$

Which corresponds to the diagonal of the TV.

6 0

4 years ago

Cube A has a volume of 9 in3. Cube B has a volume of 5 in3. Which of the following expresses the ratio of the side length of Cub

Troyanec [42]

Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:

$r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}$