Answer 1 / 25
Step-by-step explanation:
The probability that the first
of the three mutants will take over the population = 2 / 100
The probability that the second
of the three mutants will take over the population = 1.01 / 100
The probability that the third
of the three mutants will take over the population = 0.99 / 100
Therefore, the probability that each of the three mutants will take over the population = probability of the first,second or third = 2 / 100 + 1.01 / 100 + 0.99 / 100 = (2+1.01+0.99)/100 = 4 / 100 = 2/25
The volume of a prism is area of the base times height.
This is a triangular prism. The base is a triangle.
The volume is area of the base times height, and the base is a triangle.
Find the area of the triangle and multiply by the height of the prism.
V = volume of the prism
A = area of the base
H = height of the prism
h = height of the triangle
b = base of the triangle
V = AH
V = (1/2)bhH
V = (1/2) * 9 ft * 7 ft * 15 ft
V = 472.5 ft^3
Answer:
Linear Pair:
∠ 1 and ∠ 2
Vertical Angles:
∠ 1 and ∠ 3
Supplementary Angles:
∠ 7 and ∠ 6
Step-by-step explanation:
Linear Pair:
A linear pair of angles is formed when two lines intersect.
Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.
The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Example
∠ 1 and ∠ 2 ∠ 8 and ∠ 5 ,etc
Vertical Angles:
The angles opposite each other when two lines cross.
They are always equal.
Example
∠ 1 and ∠ 3 ∠ 8 and ∠ 6 ,etc
Supplementary Angles:
Two Angles are Supplementary when they add up to 180 degrees.
Examples two angles (140° and 40°)
All Linear pair are Supplementary angles
Example
∠ 7 and ∠ 6 ∠ 8 and ∠ 5 ,etc
Answer:
Step-by-step explanation:
we know that distance d from the focus to P should be the same to the distance from P to the directrix
(x-h)^2=4p(y-k)
we need to find the y coordinate,
x is the same from focus, 3
y=(3, (4+2)/2)=(3,3)
we find p now by subtracting the y from the focus from the y that we just found
p=4-3=1
again (x-h)^2=4p(y-k), p=1
(x-3)^2=4(1)(y-3)
(x-3)^2=4(y-3), (x-3)^2=4y-12
simplify
4y=(x-3)^2+12
y=((x-3)^2)/4 + 3
Answer: Associative property
Step-by-step explanation:
