Suppose the newspaper states that the probability of rain today is 55%. what is the complement of the event "rain today"?
1. rain yesterday
2. rain tomorrow
3. no rain today
4. no rain tomorrow

3. No rain today.

Step-by-step explanation:

We have been given that the newspaper states that the probability of rain today is 55%. We are asked to find the complement of the event "rain today".

We know that complement of an event A is everything else in the sample space that is not A or that does not represent A.

For example event is {Sunday}, so it complement will be all days of week except Sunday that is {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}.

The event is "rain today" for our given statement and the complement of "rain today" will be there is "no rain today".

Therefore, 3rd option is the correct choice.

Option  3.

Step-by-step explanation:

It is given that according to a newspaper the probability of rain today is 55%.  

We need to find the complement of the event "rain today".

Complement of an event: It contain all possible outcomes other the required event.  

Given event : Rain today

Complement of given event represent that there is rain but not today.

Complement of given event : No rain today.

Therefore, the correct option is 3.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

the functions have the same rate of change i think. i narrowed it down to this answer and "the rate of change of tour 1 is greater" but i got it wrong using that answer so im assuming its the answer above. (this is a question i also answered from the iready site if anyone needs a reference)