Agroup of people were asked if they enjoy going to concerts or movies. the table shows the probabilities of the results.

Option: B is the correct answer.

Enjoying movies and concerts are not independent since,

and  

Step-by-step explanation:

We know that if two events A and B are independent then:

where P denote the probability of an event.

Now, we know that:

Similarly:

If movies and concerts are independent then:

Similarly:

We have:

Hence,

Enjoying movies and concerts are not independent

Since,

and  

Hi there.

The answer is f(-3) = -16

Explanation:

Given 2 functions with given domains.

where x < -2

where x >= -2

What we need to do is evaluate the value when x = - 3

Meaning f(x)=x+3 can't be used as its domain is greater than -3.

Therefore, our main function is f(x)=5x-1 as x = -3 is part of the domain.

Then we substitute x = -3 in the function.

Thus the answer is f(-3) = -16