C). In step 2, he needed to divide both sides of the equation by 5.
8n−7y−12n+5−3y
=8n+−7y+−12n+5+−3y
Combine Like Terms:
=8n+−7y+−12n+5+−3y
=(8n+−12n)+(−7y+−3y)+(5)
=−4n+−10y+5
The correct answer is 110 cm
Explanation:
Fractions always include two values (one at the top and the other at the bottom) and they represent the proportion of something, for example, 1/2 of an apple means there is only half apple. Now, to calculate how much is 5/7 of 154 centimeters, simply divide the total number into the denominator (bottom number) and then multiply the result by the numerator (top number). This process is shown in detail below:
- 5 is the numerator and 7 is the denominator
5/7 of 154 cm
154 cm / 7 = 22
22 x 5 = 110 cm
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.
Answer:
Step-by-step explanation:
Opposite (or in The US, vertical) angles are congruent.
Adjacent ( on the same line) angles are supplementary (that is their sum = 180 degrees).
