Answer:
Step-by-step explanation:The probability of picking the biased coin: P(biased coin)=1/100. The probability of all three tosses is heads: P(three heads)=1×1+99×18100. The probability of three heads given the biased coin is trivial: P(three heads|biased coin)=1.
20 = 8 + v equals v = 12.
First, subtract 8 from both sides. Your problem should look like: 20 - 8 = v
Second, simplify 20 - 8 to get 12. Your problem should look like: 12 = v.
Third, switch sides to get v = 12, which is the correct answer.
Answer:
56√93 ≈ 540 ft²
Step-by-step explanation:
The roof is made up of 4 congruent isosceles triangles. Since the roof extends 2 ft over the edge of the cottage on each side, then the base of each triangle is 26 + 2 = 28 ft.
Let's calculate the area of one of the triangles and then just multiply by 4. See attachment. Drop a perpendicular from the vertex of a triangle to its base. We now have the triangle broken up into two right triangles. The hypotenuse is 17 ft and one of the legs of the right triangle is 28 / 2 = 14 ft. Then the height / other leg is:

We now have the dimensions of each triangle: the height is √93 and the base is 28. The area of a triangle is: A = (1/2) * b * h, so we have the following.
A = (1/2) * b * h
A = (1/2) * 28 * √93 = 14√93
Multiply this by 4:
14√93 * 4 = 56√93
The total surface area is 56√93 ≈ 540 ft².
Explanation:
In this number line the solution set that's graphed is all numbers less than 1. It doesn't include 1 because that point is graphed with an empty circle.
Answer:
x < 1
The answer for this are (10,2), (8,1), and (14,-1).