Answer:
Samantha needs to pay $5 for the GST.
Step-by-step explanation:
In order to determine the amount of GST that Samantha needs to pay, you can use the rule of three to fnd the 5% given than 99.75 represents 100%:
$99.75→100%
x ← 5%
x=(99.75*5)/100= 5
According to this, the answer is that Samantha needs to pay $5 for the GST.
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
Answer:
Option C is correct.
The equation 
represents the function.
Step-by-step explanation:
Using slope intercept form to find the equation of line :
For any two points 
and 
the equation of line is given by:
......[1] ;where m is the slope given by:
Consider any two points from table :
let (4, 2) and (0, 4) be any two points.
calculate slope:
Now, substitute in equation [1] we have:
Distributive property i.e, 
Add both sides 2 we get;
Simplify:
Since, y= f(x)
therefore, the equation represents the function.
The integer would be
positive 5
