Answer:
0, 1, 4, 5, 6, and 9 can be the last digits of the squares of natural numbers.
Step-by-step explanation:
When looking at a list of the perfect squares, the last digits continuously follow this pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. After this it repeats. This means that these are the only numbers that can be the last digits. When you take out the repeated numbers you get: 1, 4, 5, 6, 9, 0 which when written in order is:
0, 1, 4, 5, 6, and 9
Answer:
Exact Form:
105
/8
Decimal Form:
13.125
Mixed Number Form:
13 1/
8
this is if you divide 105 and 8
Answer: 74.5% of the measurements fall within one standard deviation of the average.
Step-by-step explanation:
The total number of measurements given is 2 + 12 + 10 + 33 + 40 + 76 + 80 + 65 + 52 + 22 + 12 + 5 + 11 = 420
If the mean is 21 mm and one standard deviation is 0.23 mm, then one standard deviation from the mean would be
21 ± 0.23
The lower limit is 20.77 mm
The upper limit is 21 + 0.23 = 21.23 mm
The number of measurements that fall within this range are
20.8 × 40
20.9 × 76
21.0 × 80
21.1 × 65
21.2 × 52
The total number of measurements that fall within this range is
40 + 76 + 80 + 65 + 52 = 313
The percentage of the measurements that fall within one standard deviation of the average is
313/420 × 100 = 74.5%
