Answer: 1/2
Step-by-step explanation: This is a coin. Having heads three times in a row will never change that a coin is two sided and random, meaning it will never affect the coin to always be heads. They were most likely just lucky to get heads all the time. It will always be 1/2 since the coin is inanimate and is not like selecting classmates from a team, it cannot know it's probabilities and affect it. Thus it is 1/2 probability.
This can be simplified in the equation: P(H) = 1/2, P(T) = 1/2, P(H | T) = 1/2
Answer:
11 5/12 inches
Step-by-step explanation:
32 1/4 - 20 5/6 = 11 5/12
Answer:
12 minutes
Step-by-step explanation:
Time spent for 2 patches = 4 minutes
Time spent for 1 patch = 4 / 2 = 2 minutes
Time spent for 6 patches = 2 x 6 = 12 minutes
Answer:
39.91 degrees.
Step-by-step explanation:
Formula
Sin(A)/a = Sin(B) / b
Givens
Solution
Sin(84)/31 = Sin(B)/20
20*Sin(84) / 31 = Sin(B)
Sin(B) = 0.6416
B = 39.91 degrees.
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This looks like it is right, but you should check. Let h be the height opposite angle A.
h/20 = sin(39.91)
h = 20*sin(39.91)
h = 12.83
31 has to be longer than that amount (which it is.) So there is one solution.
Y= 16(0.25)^x
The exponential equation represents an exponential decay because the rate of decay is 0.25 which is less than 1.
The general form equation is:
y(x)= a(1-r)^x such that r is the decay percent.