Answer:
A.Put each person's name on a separate piece of paper in a bag. Randomly draw the winning name; and D.Roll a number cube. If it lands on an even number, Roddy wins. If it lands on an odd number, Scott wins.
Step-by-step explanation:
In order for it to be a fair decision, both boys have to have an equal chance of being selected.
For choice A, drawing their names from a bag, both names are equally likely to be chosen; that makes this fair.
For choice B, there is 1 way to get both heads when flipping a coin. There are 2 ways to get heads and tails when flipping a coin. This gives Scott a greater chance, so this is not fair.
For choice C, there are 2 ways to get a 1 or a 2. There are 4 ways to get anything else. This gives Scott a greater chance, so this is not fair.
For choice D, there are 3 even numbers and 3 odd numbers. Both boys have an equal chance, so this is fair.
Answer:
1:5
Step-by-step explanation:
Concept:
(1) Curved surface area of cylinder = Circumference of the base × Height of cylinder
(2) Area of the base = Area of circle = π × (radius)²
(3) Circumference of the base = 2×π× (radius)
Consider a right circular cylinder as given in attached figure
Its height (AB) = H
Its radius (OC) = R
Now, we shall calculate the curved surface area of the cylinder (CSA)
(CSA) = Circumference of the base × Height of cylinder
(CSA) = 2×π×R × H = 2πRH -------(i)
Again, we shall calculate the area of the top and bottom circles
Area of the top and bottom (A) = 2× Area of circle
(A) =2×[ π × (radius)²]
or, (A) = 2×π×R² = 2πR²------------(ii)
Now, we shall calculate the surface area or total surface area of the cylinder.
SA = CSA + A
SA = 2πRH + 2πR²
or, SA = 2πR² + 2πRH
This is the required equation.
Answer:
a) p = -84
b) m = 23
Step-by-step explanation:
p = -4
a = 19 + 2p
⇒ 19 + 2 x -4
⇒ -84
m = 3
- 4
⇒
- 4
⇒ 23
Answer:
Joel donated 27 dollars to the second charity.
Step-by-step explanation:
27 x 5 = 135