The amount of gas in the tank would be 93.5%, which is .935 in decimal form. Multiply that by 40 and the answer is 37.4 gallons.
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
Answer: The mean is 27.
Step-by-step explanation: You add up all of the numbers and divide the sum by the amount of numbers you have.
Let the width = w.
Then the length is 3w - 5.
The area = LW = 28
w(3w - 5) = 28
3w^2 - 5w = 28
3w^2 - 5w - 28 = 0
(3w + 7)(w - 4) = 0
3w + 7 = 0 or w - 4 = 0
w = -7/3 or w = 4
The width of a rectangle cannot be a negative number, so we discard w = -7/3.
The width is 4 ft.
The length is 3w - 5 = 3(4) - 5 = 12 - 5 = 7
The length is 7 ft
Answer: The dimensions are length 7 ft and width 4 ft.
Here is a quadratic equation x^2 + 5x = 14
x^2 + 5x - 14 = 0 - Subtract 14 from both sides
(x + 7)(x - 2) = 0 - Factor
x + 7 = 0 x - 2 = 0 - Set each factor equal to 0
x = -7 x = 2 - solve each piece
If the constant is easy to find factors of then use the factoring method
If the constant is difficult and you have a graphing calculator, then graph
If no graphing calculator then use the quadratic formula
