The length of each interval would be 3.75 rounding to whole number is 4.
Step-by-step explanation:
- Stack in excel from lowest to highest points.
- Total number of data points are 14.
- Frequency distribution to be created.
- You can use countif function for frequency distribution.
- Since we have already got the number of intervals.
- It will be easier to calculate the number if intervals.
- normally there should be 5-15 intervals to get a better histogram.
- Basic formula is Highest data point - Lowest data point/ classes/intervals.
- So (29-14)/4 = 3.75 rounding to 4.
The total charges for the first club as a function of the number of rentals (x) are
... f1 = 25 + 2.50x
The total charges for the second club are
... f2 = 3.25x
We want to find x so that f1 < f2.
... f1 < f2
... 25 + 2.50x < 3.25x
.. 25 < 0.75x . . . . . . . . . . subtract 2.50x
... 25/0.75 < x . . . . . . . . . divide by the coefficient of x
... 33 1/3 < x
You must rent 34 videos or more to make the first club more economical.
Answer:
26 over 3 =2
------ = 8.667
3
Convert mixed number to improper fraction
5 and 3 over 45
3
4
= ( 5 × 4 ) over 4
5 × 4
4
+ 3 over 4
3
4
= ( 20 + 3 ) over 4
20 + 3
4
= 23 over 4
23
4
Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 11 over 122
11
12
= ( 2 × 12 ) over 12
2 × 12
12
+ 11 over 12
11
12
= ( 24 + 11 ) over 12
24 + 11
12
= 35 over 12
35
12
Step 1 of 2: Add, sub-step c: Find common denominator.
Find common denominator
23 over 4
23
4
+ 35 over 12
35
12
= ( 23 × 3 ) over ( 4 × 3 )
23 × 3
4 × 3
+ ( 35 × 1 ) over ( 12 × 1 )
35 × 1
12 × 1
= 69 over 12
69
12
+ 35 over 12
35
12
12 is the least common multiple of denominators 4 and 12. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Add, sub-step d: Add.
Add
69 over 12
69
12
+ 35 over 12
35
12
= ( 69 + 35 ) over 12
69 + 35
12
= 104 over 12
104
12
