$119.85 is the total amount he earned in 2 weeks
He mows his neighbor's lawn each week for $25...So if he mows for 2 weeks it should be
$25×2=$50
Darian gets paid $6.35 an hour to help out at his dad's shop...
Let X be the number of hours Darian worked at his dad's shop in the two weeks
So we can now make an equation to find X
(X×$6.35)+($25×2)=$119.85
(X×$6.35)+$50=$119.85
X×$6.35=$119.85-$50
X×$6.35=$69.85
X=$69.85÷$6.35
X=11
Therefore the number of hours Darian worked at his dad's shop in those two weeks is 11
Answer: 1/3 (x + 6)
Explanation: given f(x) = 3x - 6.
Let y = f(x) and so y = 3x - 6.
Trade places between x and y.
x = 3y - 6
Solve for y
x + 6 = 3y
y = x + 6/3
Now the new y is the inverse and so y = f-1(x)
f-1(x) = 1/3(x + 6)
Answer: point estimate = 3.88
Margin of error = 0.63
Step-by-step explanation:
Confidence interval is written in the form,
(Point estimate - margin of error, Point estimate + margin of error)
The sample mean, x is the point estimate for the population mean. Let m represent the margin of error. Since the confidence interval is given as (3.25 , 4.51), it means that
x - m = 3.25
x + m = 4.51
Adding both equations, it becomes
2x = 7.76
x = 7.76/2
x = 3.88
Substituting x = 3.88 into x + m = 4.51, it becomes
3.88 + m = 4.51
m = 4.51 - 3.88
m = 0.63
