A semicircle is a half of a circle.
Find the circumference of a full circle then divide in half.
Circumference = pi x r x 2
Circumference = 3.14 x 9 x 2 = 56.52
Semicircle = 56.52/2 = 28.26
Answer:
(4, 5)
Step-by-step explanation:
Dilation by factor d about point (a, b) effects the transformation ...
(x, y) ⇒ d((x, y) -(a, b)) +(a, b)
⇒ (d(x-a) +a, d(y-b) +b)
(x, y) ⇒ (dx +a(1-d), dy +b(1-d))
We have (x, y) = (3, 4) and (a, b) = (1, 2) and d=3/2. Filling in these numbers, we get ...
(3, 4) ⇒ ((3/2)(3)+1(1-3/2), (3/2)(4)+2(1-3/2)) = (9/2 -1/2, 6 -1) = (4, 5)
Point E' is (4, 5).
_____
If you look at the graph, you realize that E is (2, 2) from (1, 2). Dilation by a factor of 3/2 moves it to (3/2)(2, 2) = (3, 3) from (1, 2). So ...
E' = (3+1, 3+2)
E' = (4, 5)
Answer:
The probability that it will choose food #2 on the second trial after the initial trial = 0.3125
Step-by-step explanation:
Given - A lab animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one trial, it will choose the same food on the next trial with a probability of 50%, and it will choose the other foods on the next trial with equal probabilities of 25%.
To find - If the animal chooses food #1 on an initial trial, what is the probability that it will choose food #2 on the second trial after the initial trial?
Proof -
By the given information, we get the stohastic matrix
As we know that,
The matrix is a Markov chain
Let
The initial state vector be
we choose this initial vector because given that If the animal chooses food #1 on an initial trial.
Now,
∴ we get
Now,
∴ we get
∴ we get
The probability that it will choose food #2 on the second trial after the initial trial = 0.3125
Answer:
The given polynomial x(x -3)(x +6)(x -7)= 0 is of degree 4. Therefore, it has 4 zeros as follows. So, x = 3 is the second zero. So, x = -6 is the third zero.
Step-by-step explanation: