Luisa is making a histogram for the following set of data: 11, 77, 35, 5, 76, 34, 89, 92, 22. Which is an appropriate first interval if she plans to use 10 intervals? a. 0–5
b. 0–50
c. 0–10
d.0–100

Step-by-step explanation:

The given data is 11, 77, 35, 5, 76, 34, 89, 92, 22

The total number of items in the data is 9. The width of each class interval would be gotten by dividing the difference between the minimum and maximum items in the data by the number of class intervals. From the information given,

Minimum item = 5

Maximum item = 92

Difference = 92 - 5 = 7

Class width = 87/10 = 8.7

By approximation, it is closest to 10

Therefore, the appropriate class group is 0 to 10

Appropriate first interval is:

c. 0-10

Step-by-step explanation:

The set of data for the histogram is given below:

5

11

22

34

35

76

77

89

92

First state the maximum and minimum values of the set of data given:

Maximum value = 92

Minimum value = 11

Total Number of intervals = 10

To find the appropriate size of interval, subtract minimum vavlue from the maximum value and divide it by 10

Minimum Size of interval = (92 - 11)/10 = 8.1

We can see the from the options, the nearest to 8.1 is 10, which can easily fit all the values. So

Size of interval = 10

First interval = 0 - 10

this is a very good question

step-by-step explanation:

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the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is