Please answer this correctly

3 people, 2 people, 4 people, 6 people, 2 people, 3 people, 3 people

Step-by-step explanation:

3 given numbers within 30-39

32, 35, 38

2 given numbers within 40-49

45, 48

4 given numbers within 50-59

51, 52, 54, 59

6 given numbers within 60-69

60, 61, 65, 65, 66, 69

2 given numbers within 70-79

77, 78

3 given numbers within 80-89

83, 83, 84

3 given numbers within 90-99

95, 96, 98

see Frequency below

Step-by-step explanation:

This is a frequency table.  How many times does a number appear in the data set that falls within the given interval?

Interval             Data                          Frequency

30-39:         35, 38, 32                              3

40-49:         48, 45                                     2

50-59:         59, 51, 52, 54                         4

60-69:         61, 60, 66, 65, 65, 69            6

70-79:          77, 78                                      2

80-89:          83, 84, 83                               3

90-99:          98, 96, 95                               3

Check the total to make sure you included each number from the data set.

Total numbers in the data set = 23, Total Frequency = 23  

(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