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Suppose we have a circle of radius 1. Four circles of radius, r, are drawn so that they are mutually tangent to the circle of radius 1 and to each other (imagine a small circle with 4 large circles drawn around it so the large circles all touch the small one and each large circle touches its two large neighbors). What is r?
Recall that for a, b ∈ Z, a ≡ b (mod 8) means that a - b is divisible by 8. Use the Division Algorithm to prove that for every integer m there exists an integer r such that m ≡ r (mod 8) and 0 ≤ r
The resulting value, Corey reasons, will yield the maximum point. Explain fully why Corey's method is flawed.
Mr and Mrs Samuel visited Florida and purchased 120 oranges. They gave 1/4 of them to relatives ate 1/12 of them in the hotel and gave 1/3 of them to friends. they shipped the rest home to Illonois.
A test consists of 810 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?
Using the SOA illustrative life table, with interest rate at 9.18% per year, calculate the expected present value of this benefit.
write 150-200nbspwords that respond to the following scenario with your thoughts ideas and comments.given the following
estimate the percentage errors in the adjacent side and hypotenuse
a bag contains 7 cherry, 3 orange and 2 lemon candies. You randomly take 3. What is the probability that you have at least 2 cherry candies.
a total of 325 tickets were sold for the school concert and 36 percent of these were sold to students. how many tickets were sold to students
Jen's pension is an annuity with a guaranteed return of 5% interest/year compounded monthly. She can afford to put $300/month into the fund, and she will work for 45 years before retiring. If her pension is then paid out monthly based on a 20-..
Select and discuss two examples of real life objects that incorporate the parabolic shape. Explain why the parabolic shape was used for the objects.
mr and mrs motor spent 5 nights at the dew drop inn. they paid a total of 234.75 what was the cost per night.
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