other students in the lab
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%
Answer:
Proved
Step-by-step explanation:
Take the Left Hand Side:
Hence Proved!
The following identities were used are attached in an image
Evaluate 10 m + n 2 4 10m+ 4 n 2 10, m, plus, start fraction, n, squared, divided by, 4, end fraction when m = 5 m=5m, equals,
Bond [772]
Answer:
Step-by-step explanation:
Variables : The value of a quantity which can be changed.
Monomial : Monomial contains only one term.
Example 3x, 4,6y² etc.
Binomial: Binomial contains two terms.
Example 3+4y, 20+7z etc
Trinomial: Trinomial contains 3 terms.
Example 5x-2y+5, 7z-3y+4x etc.
Given that,
[ It is a binomial.]
Putting m =5 and n=4
=54
