Write the ratio of sin X and cos X Show your work (20 points)
1 answer:
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Answer:
(1) The correct option is (A).
(2) The probability that Aadi will get Tails is .
Step-by-step explanation:
It is provided that:
- Eric throws a biased coin 10 times. He gets 3 tails.
- Sue throw the same coin 50 times. She gets 20 tails.
The probability of tail in both cases is:
(1)
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
In this case we need to compute the proportion of tails.
Then according to the Central limit theorem, Sue's estimate is best because she throws it <em>n = </em>50 > 30 times.
Thus, the correct option is (A).
(2)
As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:
Thus, the probability that Aadi will get Tails is .
length = 15
let the width = w then length = 2w - 3
Perimeter = 2(length + width)
= 2(2w - 3 + w) = 2( 3w - 3) = 6w - 6 = 48
hence 6w = 48 + 6 = 54 ⇒ w == 9
Thus length = 2w - 3 = (2× 9) - 3 = 18 - 3 = 15