Answer:
y=cos(x+π)
Step-by-step explanation:
Known that the cosine function has a period of 2π.
Now, the parental function is y = cosx, which has y-intercept at y = 1, and x-intercept at π/2.
Notice that the function showed in the graph attached has y-intercept at y = -1 and x-intercept at π/2. This indicates that the function has been moved leftwards π units.
Therefore, the function that belongs to this graph is

Answer:
He runs 2/3 mile in 8 mins, he runs one mile in 12 mins
Answer:
(2b - 5) + b + (b + 80) = 983
Step-by-step explanation:
Given that,
Total score of three teams = 983
Since the teams' scores are given in reference to team B's score, let 'b' be the score of team B.
So,
The scores of Team A = (2 * b) - 5
The scores of Team B = b
The scores of Team C = (b + 80)
Thus,
The equation for determining the total points of Team B would be:
(2b - 5) + b + (b + 80) = 983
On solving,
(2b - 5) + b + (b + 80) = 983
⇒ 2b + b + b = 983 + 5 - 80
⇒ 4b = 908
⇒ b = 908 ÷ 4
⇒ b = 227
Team B's score = 227
Team A's score = (2 * 227 - 5)
= 449
Team C's score = 227 + 80
= 307
Total ⇒ 449 + 227 + 307 = 983
Hence proved.
Answer:
When Mary raises the probability that she has a better hand is 0.273
Step-by-step explanation:
In the poker game it is given that the probability that Mary has a better hand than John is 0.04.
Let the event that Mary has a better hand than John be A.
Let the event that that Mary raises the stakes be B.
It is also given that if Mary has a better hand than John then she would raise with a probability of 0.9
Therefore p(B | A) = 0.9
If Mary has a poorer hand she will raise with a probability of 0.1
Therefore p(B | A') = 0.1
Given that Mary raises the probability that she has a better hand is given by
p(A | B)
=
= 0.273
So when Mary raises the probability that she has a better hand is 0.273
Answer:
59
Step-by-step explanation:
3x=177
3x represents the # of arrow he can shoot at once every time
177 represents the total # of arrow he has