Answer:
14 square units
Step-by-step explanation:
You need to know the formulas for the perimeter of a rectangle and the area of a rectangle, which are
2L + 2W - P where L is the length, W is the width, and P is the perimeter
and
A = LW
So we need to find the length and width to find the area
Step 1: Write equations out of the given information
"The length of a rectangle is 1 more than 3 times the width" can be rewritten as
L = 3W + 1
"the perimeter of the rectangle is 18 units" can be rewritten as
2L + 2W = 18
Step 2: Plug the first formula into the second one and solve
2(3W + 1) + 2W = 18
Simplify...
6W + 2 + 2W = 18
Combine like terms and subtract 2 from both sides
8W = 16
Divide both sides by 8 to isolate the W
W = 2
Step 3:
Plug W = 2 into the formula for L and solve for L
L = 3(2) + 1
L = 6 + 1
L = 7
Step 4: Use the length and width to calculate the area
A = LW
A = (7)(2)
A = 14 units squared
Answer:
99.4 feet.
Step-by-step explanation:
You'd add 52.7 and 46.7, including 52.7 because she was already 52.7 feet under before she went even deeper.
Answer:
The desviation is 8 4/7 or 8.571
Step-by-step explanation:
The conversion for any variable X to a standard z is
![Z=\frac{X-\[Mu]}\\{\[Sigma]}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7BX-%5C%5BMu%5D%7D%5C%5C%7B%5C%5BSigma%5D%7D)
where mu is the mean and sigma de desviation
You can find the value of Z whith the tables of the accumulated probability function. The accumulated probability for the mean is 0.5 .Remenber that the accumlated probability function represent the area at the left of an abscissa. Then
0.5+0.3531=0.8531
Acording to the accumulated probability function table, a Z=1.05 has an area of 0.8531 at its left.
Now it is only solving the equation
![\[Sigma]=\frac{X-\[Mu]}{Z}](https://tex.z-dn.net/?f=%5C%5BSigma%5D%3D%5Cfrac%7BX-%5C%5BMu%5D%7D%7BZ%7D)
σ=
σ=8.571
Answer:
Step-by-step explanation:
She bought two tires for $35.00 each. This means that the total amount for which she bought the tires is
35 × 2 = $70
She later sold them for $65.00 each. This means that the total amount for which she sold the tires is
65 × 2 = $130
Her profit from the tires is
130 - 70 = $60
She bought rims for $75.00 each. This means that the total amount for which she bought the rims is
75 × 2 = $150
She later sold them for $136.00 each. This means that the total amount for which she sold the rims is
136 × 2 = $272
Her profit from selling the rims is
272 - 150 = $122
Her total profit is
60 + 122 = $182
