Twenty children were surveyed about the number of hours they play outside in 1 week. the results are shown below. 6, 5, 4, 3, 0, 7, 1, 5, 4, 4, 3, 2, 2, 3, 2, 4, 3, 4, 0, 7 complete the frequency table below and create a histogram to display this data. interval frequency

Step-by-step explanation:

Remember that frequency refers to the times a single data repeats. For example, in this case the number 4 repeats five times, that means its frequency is 5. Applying this, we can complete the table

Interval       Frequency

    0                    2

     1                    1

     2                   3

     3                   4

     4                   5

     5                   2

     6                    1

     7                    2

                      N = 20  

Now, with the frequency table we can make a histogram by setting Interval as the independent variable and Frequency the dependent variable.

In the image attached you can observe the histogram, where the frequency is the vertical axis and intervals from the horizontal axis.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

22

step-by-step explanation: