The following data represents the age of 30 lottery winners. Given the frequency distribution for the data, Age Frequency Relative Frequency Cumulative Relative Frequency [20,29] 3 0.1 0.1 [30,39] 10 0.3333 0.4333 [40,49] 2 0.0667 0.5 [50,59] 7 0.2333 0.7333 [60,69] 4 0.1333 0.8666 [70,79] 3 0.1 0.9666 [80,89] 1 0.0333 0.9999 What is the frequency of lottery winners of age between 19 and 40? What percentage of lottery winners are 70 years or older? % What is the relative frequency of ages under 40? What is the cumulative relative frequency of lottery winners younger than 50?

Answer and Step-by-step explanation:

a. The computation of the frequency of lottery winners from 19 age to 40 age is

Given that

From [20,29] , the frequency is 3

And, from  [30,39] , the frequency is 10

So, the total frequency is 13

b. The percentage of lottery winners who has 70 years or older is

Here we considered the relative frequency

= 0.1 + 0.0333

= 0.1333

= 13.33%

c. The relative frequency of ages under 40 is

= 0.1 + 0.3333

= 0.43333

= 43.33%

d. The cumulative relative frequency younger than 50 is

= 0.1 + 0.3333 + 0.0667

= 0.5

(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

sorry can't

step-by-step explanation:

i googled though and something came up but it was in science langueage not common english sooo