Answer:
At a certain pizza parlor,36 % of the customers order a pizza containing onions,35 % of the customers order a pizza containing sausage, and 66% order a pizza containing onions or sausage (or both). Find the probability that a customer chosen at random will order a pizza containing both onions and sausage.
Step-by-step explanation:
Hello!
You have the following possible pizza orders:
Onion ⇒ P(on)= 0.36
Sausage ⇒ P(sa)= 0.35
Onions and Sausages ⇒ P(on∪sa)= 0.66
The events "onion" and "sausage" are not mutually exclusive, since you can order a pizza with both toppings.
If two events are not mutually exclusive, you know that:
P(A∪B)= P(A)+P(B)-P(A∩B)
Using the given information you can use that property to calculate the probability of a customer ordering a pizza with onions and sausage:
P(on∪sa)= P(on)+P(sa)-P(on∩sa)
P(on∪sa)+P(on∩sa)= P(on)+P(sa)
P(on∩sa)= P(on)+P(sa)-P(on∪sa)
P(on∩sa)= 0.36+0.35-0.66= 0.05
I hope it helps!
Since it turns downwards (the shape on an "n", it is a maximum point)
Maximum point occurs at (-2, 1)
Answer: (B) (-2, 1) maximum
Percent change is 100%
Step-by-step explanation:
- Step 1: Find the perimeter of the first garden when length = 6 ft and width = 4 ft
Perimeter = 2 (length + width)
= 2 (6 + 4) = 2 × 10 = 20 ft
- Step 2: Find the perimeter of the second garden when length = 12 ft and width = 8 ft (∵ dimensions are doubled)
Perimeter = 2 (12 + 8) = 2 × 20 = 40 ft
- Step 3: Find the percent change in perimeter
Percent Change = Final value - initial value/Initial Value × 100
= (40 - 20/20) × 100
= 1 × 100 = 100%
9514 1404 393
Answer:
20.8 cm
Step-by-step explanation:
The term "hypotenuse" suggests this triangle is a right triangle. Then the other leg can be found using the Pythagorean theorem:
x^2 +12^2 = 24^2
x^2 = 576 -144 = 432
x = √432 ≈ 20.8 . . . cm
The other leg is about 20.8 cm.
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<em>Additional comment</em>
A right triangle with a short leg that is 1/2 the length of the hypotenuse is the "special" 30°-60°-90° right triangle. The longer leg is √3 times the length of the short leg: 12√3 ≈ 20.8 cm.
