First, we’re going to use this formula:
2nd number - 1st number
————————————— x 100%
1st number
If we plug in the numbers to this equation:
23-20
———- x 100%
20
And subtract 23 to 20, the answer to this equation is:
3
—- x 100% = 15%
20
In this case, the percent of increase is 15%.
C. There is no solution.
6(x＋4)＝5(x－5)＋x
6x＋24＝5x－25＋x
6x＋24＝6x－25
24＝－25
The statement is false for any value of x
∴ There is no solution.
Hope my answer helped u :)
First, let's start off, let us define what are corresponding angles. When a transversal, which is a line that passes through two parallel lines, then the angles in the same corners are congruent.
Using this definition, the angles ∠2 is congruent to ∠6.
Answer: range= 26, variance= 80 and standard deviation= 8.94
Step-by-step explanation:
Range = highest - lowest
Range = 146 - 120
Range= 26
Let m be mean
M=mean=sum/n
Mean=(120+134+146+127+138+133) / 6
M=798/6
M=133
The standard deviation sample formula:
S.D = sqrt( Summation of |x-m|^2 / n-1)
Let start finding:
|x-m|^2
For 1st: |120-133|^2=169
For 2nd: |134-133|^2=1
For 3rd: |146-133|^2=169
For 4th: |127-133|^2=36
For 5th: |138-133|^2=25
For 6th: |133-133|^2=0
Summation of |x-m|^2 = 400
The standard deviation formula is :
S.D = sqrt( Summation of |x-m|^2 / n-1)
S.D= sqrt(400 / 5)
S.D=sqrt(80)
S.D= 8.94
Variance = (Summation of |x-m|^2 / n-1)
Variance= 400/5
Variance= 80
