13)
let assume # denotes angle signs
now
as sum of 3 angels in triangle is 180
#2 +#3 +#4 = 180
also
#1 + #4 = 180
so equating both equation
#2 +#3 + #4 = #1 + #4
#4 will be cancelled from both side then
#2 + #3 = #1
proved
14)
ratio is 1:3:5
so Alma adsed it wrong. it should be 9x in 2nd line.
correction
x + 3x + 5x = 180
9x = 180
x = 180/9 = 20
so 1st angle = x = 20
2nd angle = 3x = 3×20=60
3rd angel = 5x = 5×20 = 100
When we say a statistic is resistant, we mean the extreme values do not affect the statistic to a large extent or to an extent which makes a major difference. Mean and median are example of such statistics. By changing the extreme values we do not see a substantial difference in the value of mean and median for the data set.
Consider a sample: 1,2,3,4,4,5,6,7,8
The median for this data set is 4.
If we change the extreme values to get this sample: -5,2,3,4,4,5,6,7,100
The median will still be the same i.e. 4. This is what is meant by a resistant statistic.
So option a is the correct ans.
Using function concepts, we have that:
- The independent quantity is the time.
- The dependent quantity is the volume.
- Graph H fits this problem.
<h3>What is the relation between a function and the dependent and independent variables?</h3>
A function has the following format: y = f(x).
In which each value of <u>y is a function of one value of x</u>, and thus, x is the independent variable and y is the dependent variable.
That is, the input of the function is the independent variable and the output is the dependent variable.
For this problem, the <u>volume is a function of time</u>, hence Volume = f(Time) and:
- The independent quantity is the time.
- The dependent quantity is the volume.
The <u>decay rate is constant</u>, meaning that we have a <u>decreasing linear function</u>, and graph H fits this problem.
More can be learned about dependent and independent variables at brainly.com/question/1429012
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