Answer:
All of the values in the data are used in calculating the mean.
The sum of the deviations is zero.
There is only one mean for a set of data.
Step-by-step explanation:
Required
True statement about arithmetic mean
(a) False
The mean can be equal to, greater than or less than the median
(b) True
The arithmetic mean is the summation of all data divided by the number of data; hence, all values are included.
(c) True
All mean literally represent the distance of each value from the average; so, when each value used in calculating the mean is subtracted from the calculated mean, then the end result is 0. i.e.
(d) True
The mean value of a distribution is always 1 value. When more values are added to the existing values or some values are removed from the existing values, the mean value will change.
(e) False
Nominal data are not numerical or quantitative data; hence, the mean cannot be calculated.
Answer:
From what we know about percentages and unit rates, the correct options are:
1) 100
2) 1
What is a percent?
Suppose we have an amount A, this would be the 100%.
If we want to know how much a quantity B represents, compared to A, we have:
A = 100%
B = x
where x is a percentage, to find the value of x we compute:
x = (B/A)*100%
While there is a dependence on A, we actually are comparing the term with 100 (because A represents a 100%), so the correct option is A: 100
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Answer:
$22.19
Step-by-step explanation:
20% off the original price = $110.95 - (20% x $110.95)
20% x $110.95 = $22.19
$110.95 - $22.19 = $88.76
difference = $110.95 - $88.76 = $22.19
Step-by-step explanation:
8.
Prime factorization of 48 is :

Option (3) is true.
9.
Prime factorization of 19 is:
19 = 19 × 1
Option (c) is correct.
(10).
Prime factorization of 924 is:
924 = 2 x 2 x 3 x 7 x 11
= 2² x 3¹ x 7¹ x 11¹
Hence, this is the required solution.
the required ans is 3√b+b/3b