using of tossing a squar how many darts fall into an inscribed circle of the unit square. (Hint: Use =Rand() to generate rm(0,1) in Excel.) Then compute an estimate of using the ratio of the darts that had falle I on 50, 100, 500, 1000, 3000, 5000 tosses, respectively. Also answer the following questions. e estimate seem to converge to the true value of as the number of tosses increase? Why? te the 95% confidence intervals of these estimates. Explain in words the meaning of the

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to sulsy art bai What is the average rate of change of x² - 6x - 7 = 0 on the interval between x = 2 and x = 3? er brit 2 What is the average rate of change of x² - 6x - 7 = 0 on the interval between x = 3 and x = 4?

A racecar travels northward on a straight, level track at a constant speed, traveling 0.750 kilometer in 20.0 seconds. The return trip over the same track is made in 25.0 seconds. (a) What is the average velocity of the car in meters per second for the first leg of the run? m/sec (b) What is the average speed for the total trip? (Round your answer to one decimal place.) m/sec Need Help? Read It

How to find the upper distance.

If Z~N(0,1), calculate Pr(2.73 < Z < 2.87). You can use Excel. Round your answer to three decimal places, e.g. 0.491.

Please explain how to solve, thank you!

Consider a tack like the one pictured below. When dropped on a table, the tack can land either point down or point up. Suppose we assume that P(tack lands point down) = 0.40. Which of the following must be true? (A) If the tack is dropped 50 times and lands point down only 10 times, then it must land point down more than 40% of the time in the next 50 drops. (B) If the tack is dropped on a table 10 times, it will land point down 4 times. (C) If the tack is dropped on a table 1,000,000 times, it will land point down 400,000 times. (D) Over many tack drops, the proportion that land point down will be very close to 0.40. (E) The tack landed point down twice in a simple random sample of 5 people who dropped it on a table.

Find P(|Z| ≤ 2.5). (round to three decimal places.

The height of an object t seconds after it is dropped from a height of 140 meters is s(t) = -4.9t² + 140. (a) Find the average velocity of the object during the first 5 seconds. m/s (b) Use the Mean Value Theorem to verify that at some time during the first 5 seconds of fall, the instantaneous velocity equals the average velocity. Find that time. S