Well we set the perimeter to 120 feet.
This means that 2x+2y=120
Now we know the area of a rectangle is xy so we have to solve for both x and y in the perimeter equation.
2x=120-2y
x=60-y
2y=120-2x
y=60-x
Now we plug these values into our area equation A=xy to get:
A=(60-y)(60-x)
Answer:
Step-by-step explanation:
The formula for <u>exponential growth</u> is y = ab^x.
To write this equation, we know it has to start with 48 (which is the variable a). We need to add the rate of growth. This is 11/6 (which is variable b). But we also need to account for the "every 3.5 years" part, so divide the x as an exponent by 3.5.
N(t) = 48 * 11/6^(t/3.5)
This equation is easy to test, and it's a good idea to test it after you write it. For example, after 3.5 years we know that it should have 48*11/6 branches. Does our equation work? Yes.
Sizes = Small, Medium and Large, so they has 3 choices for size.
Crust = Thin or thick for each size, so they have 2 choices for crust.
Topping = Tomato or meatball for each one, so they have 2 choices for toppings.
The answer would be:
<span>Three choices for size, two choices for crust, and two choices for topping</span>
Answer:
The answer to the question is
The probability that at least one of the next three customers purchases premium gas is the complement of the probability that none of the next three customers purchase premium gas = 1 - (1-P(A))³ = 0.834
Step-by-step explanation:
The probability that a customer would purchase premium grade = 45 %
That is P(A) = 0.45 and
The probability that the customer would purchase another grade = P(B) = 0.55
Therefore the probability of at least one of the next three customers purchase premium gas is
P(k=0) = (1 - P)ⁿ and the probability of at least one customer purchases premium gas is the compliment of the probability that the next three customers purchase another gas brand
that is (1 - P(A))×(1 - P(A))×(1 - P(A)) = P(B)×P(B)×P(B) = 0.55³ and the complement is 1 - 0.55³ = 0.834
