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%
Her best choice would be to take a fixed rate mortgage because it would let her know exactly how much she would pay each month.
Do u have a picture of the assignment?
we are given
first term is

common ratio is

now, we can find nth term

now, we can plug values

now, we can write in sigma form

now, we can find sum
we can use formula

now, we can plug values
we get


so, option-D.................Answer
Answer: x=9
Step-by-step explanation:
3x+8=35
Subtract 35-8=27
3x=27
27/3=9
x=9