Frequency 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] 2 0.0667 0.0667

[30,39] 4 0.1333 0.2

[40,49] 5 0.1667 0.3667

[50,59] 8 0.2667 0.6334

[60,69] 4 0.1333 0.7667

[70,79] 6 0.2 0.9667

[80,89] 1 0.0333 1

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?

Which graph shows the cumulative relative frequency?

0.2

0.4

0.6

0.8

1

Age

0

10

20

30

40

50

60

70

80

90

Frequency

0.05

0.1

0.15

0.2

0.25

Age

0

10

20

30

40

50

60

70

80

90

Frequency

b

step-by-step explanation:

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc