Answer:
Please refer to the attachment
Answer:
Thank you very much :) needed that
Answer:
a ratio of 3 or also 3/1 is a fraction is wanted
Answer:
0.21
Step-by-step explanation:
Given that Jane is a better tennis player than Jack is. If the probability that Jane will beat Jack in any given game is 0.7,
Probability for Jane beating Jack is 0.7 and hence
Probability for Jack beating Jane is 0.3
We find that each game is independent of the other
If two games are played
Probability that they will each win one game if they play two games
= Prob that Jack wins one game * Prob that Jane wins one game
= 0.7*0.3
= 0.21
(Since if A and B are independent events P(AB) = P(A) *P(B)
Answer:
The cosine function is f(t) = -30sin(π÷3)t + 20
Step-by-step explanation:
Given : The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period.
To find : What is a cosine function that models this reaction?
General form of cosine function is f(x) = A cos(Bx)+C
Where A is the amplitude
B=2π÷Period
C is the midline
Now, We have given
The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius.
A is the average of temperature,
i.e,
A=(-10-50)÷2 = -30
Period of 1 cycle is 6 hour
So,
B = 2π÷6 = π÷3
The temperature is at its lowest point when t = 0 and we know lowest point is -10
So,
f(t) = A cos t + C
-10 = -30 cos 0 + C
Therefore, C = 20
Substituting the values, we get
The cosine function is f(t) = -30sin(π÷3)t + 20
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