Sonia rolls a six sided number cube 12 times and records of she rolls a 2. what is the number of trials for this binomial experiment?

12

Step-by-step explanation:

Binomial expression:

Where n = No. of trials i.e. no. of times experiment occur

p= Probability of success

q= Probability of Failure

r= No. of success.

We are given that Sonia rolls a six sided number cube 12 times and records of she rolls a 2.

Since here the cube was rolled 12 times.

Thus n =12

So, No. of trials =12

Hence the number of trials for this binomial experiment is 12.

(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

i think the answer is b