The data show the maximum wind speeds in miles per hour recorded for 40 states. construct a frequency distribution using 7 classes.

Step-by-step explanation:

We have to construct a frequency distribution table using 7 classes.

1. Find the difference between the maximum wind speed and the minimum wind speed first.

93 - 48 = 45

2. Divide this difference by number of class.

= 6.42

3. Round up this number.

6.42 ≈ 7

4. Add this number to the lowest number in the given table.

48 + 7 = 55

5. By repeating this step we can get 7 classes.

48

48 + 7 = 55

55 + 7 = 62

62 + 7 = 69

69 + 7 = 76

76 + 7 = 83

83 + 7 = 90

These are the lower limits of the interval.

6. Now we will write down the upper limits of the intervals.

48 + ( 7 - 1) = 54

48 - 54

Similarly we can write all other intervals.

55 - 61

62 - 66

67 - 73

74 - 80

81 - 87

88 - 94

7. Now we can easily form the frequency table.

Wind speed     Number of states

48 - 54                       3

55 - 61                        4    

62 - 66                       5

67 - 73                       12

74 - 80                       12

81 - 87                         3

88 - 94                        1

answer: the first graph

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18