Answer:
Class interval 10-19 20-29 30-39 40-49 50-59
cumulative frequency 10 24 41 48 50
cumulative relative frequency 0.2 0.48 0.82 0.96 1
Step-by-step explanation:
1.
We are given the frequency of each class interval and we have to find the respective cumulative frequency and cumulative relative frequency.
Cumulative frequency
10
10+14=24
14+17=41
41+7=48
48+2=50
sum of frequencies is 50 so the relative frequency is f/50.
Relative frequency
10/50=0.2
14/50=0.28
17/50=0.34
7/50=0.14
2/50=0.04
Cumulative relative frequency
0.2
0.2+0.28=0.48
0.48+0.34=0.82
0.82+0.14=0.96
0.96+0.04=1
The cumulative relative frequency is calculated using relative frequency.
Relative frequency is calculated by dividing the respective frequency to the sum of frequency.
The cumulative frequency is calculated by adding the frequency of respective class to the sum of frequencies of previous classes.
The cumulative relative frequency is calculated by adding the relative frequency of respective class to the sum of relative frequencies of previous classes.
Congruent= the same shape and size.
area of the rectangle before it is divided=8*(area congruent rectangle)
area of the rectangle before it is dividide=8*(5 cm²)=40 cm²
Area of the rectangle before it is dividide=40 cm²
- The commutative property is a number property where the answer obtained is the same no matter the position of the numbers you are multiplying together.
- Commutative property of multiplication is expressed as:
a x b = b x a
a x b x c = a x c x b = b x c x a
- Note: " . " in the question also means "x" (multiplication)
- Applying commutative property to the question:
(7/15)⋅(−11)⋅(30)
(7/15) ⋅ (−11) ⋅ (30) = (7/15) . (30) . (11)
The values interchanged are: 11 and 30. The result of the multiplication remains unchanged.
Option A is the correct answer.
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