The probability of event a is 0.56. and the probability of event b is 0.34. if a and b are independent events, then p(a and b) =

0.1904
0.289
0.8096
0.90

First option : 0.1904

Step-by-step explanation:

Given

First of all, we will define independent events.

Two events are said to be independent if the occurrence of one event doesn't affect the probability of occurrence of second event.

If the events are independent then their individual probabilities are multiplied for the probability of both events.

That is:

P(A∩B) = P(A) * P(B)

= 0.56 * 0.34

=0.1904

So, the probability of A and B is 0.1904.

Hence, first option is the correct answer ..

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3