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klio [65]
3 years ago
10

What the complement of 54.6 degree

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0
Complementary angles add up to 90°, if say the angle is "x", then 

x + 54.6° = 90°

x = 90° - 54.6°.
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A gambler has a coin which is either fair (equal probability heads or tails) or is biased with a probability of heads equal to 0
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(a) 0.1719

(b) 0.3504

Step-by-step explanation:

For every coin the number of heads follows a Binomial distribution and the probability that x of the 10 times are heads is equal to:

P(x)=\frac{n!}{x!(n-x)!}*p^x*(1-p)^{10-x}

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So, for the fair coin, the probability that the number of heads is less than 4 is:

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Where, for example, P(0) and P(1) are calculated as:

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Then, P(x, so there is a probability of 0.1719 that you conclude that the coin is biased given that the coin is fair.

At the same way, for the biased coin, the probability that the number of heads is at least 4 is:

P(x\geq4 )=P(4)+P(5)+P(6)+...+P(10)

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Then, P(x\geq4 )=0.3504, so there is a probability of 0.3504 that you conclude that the coin is fair given that the coin is biased.

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4/1 x 4/2 =2.55

Explanation:
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