Jayden makes a 5-sided spinner, numbered from 1 to 5. He records the number of times he scores a 3 from different numbers of spins. Complete the table to show the relative frequencies of scoring 3. a= b= c=

a = 2/5 = 0.4

b = 9/25 = 0.36

c = 19/50 = 0.38

Step-by-step explanation:

relative frequency = (number of desired results)/(total number of possible results)

a = 4/10 = 2/5 = 0.4

b = 18/50 = 9/25 = 0.36

c = 76/200 = 19/50 = 0.38

(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

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.