The total prize money is 200+100 which is 300
There is 100 tickets sold for $5 each so the people selling the tickets earn $500 and use $300 for prize money.
The expected value of 1 ticket is $5.00
If you still have any questions feel free to comment below
Hope this helped<3
Therefore, the bones were 6612.5 years old at the time they were discovered.
<h3><u>Half life</u></h3>
Given that the radioactive element carbon-14 has a half-life of 5750 years, and a scientist determined that the bones from a mastodon had lost 57.5% of their carbon-14, to determine how old were the bones at the time they were discovered, the following calculation must be made:
- 50 = 5750
- 100 = 11500
- 57.5 = X
- 57.5 x 11500 / 100 = X
- 6612.5 = X
Therefore, the bones were 6612.5 years old at the time they were discovered.
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We have the sample size, sample mean and the sample standard deviation. Since the population standard deviation is not know, we will use t-distribution to find the confidence interval.
The critical t value for 95% confidence interval and 63 degrees of freedom is 1.998.
The 95% confidence for the population mean will be:

Thus, the 95% confidence interval for the population mean will be (115,123)
So, option A is the correct answer
<u>Your question: </u>given that sin(30)=1/2 and cos(30)=(sqrt3)/2, use trigonometric identities to find the value of cot(30)
The correct answer would be D 