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Questions featuring probability & other concepts
1. How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side?
2. If all the diagonals of a regular pentagon are drawn, how many triangles are formed?
3. If a 75-degree sector of a circle rotates around the center of a circle in 75-degree movements, how many sector movements will be needed for the sector to land directly in its original position?
4. A steel band is fitted around the equator. The band is removed and cut, and an additional 10 feet is added. The band now fits more loosely than it did before. How high off the ground is the band?
5. Using straight lines, connect these nine dots with the fewest number of lines without raising your pencil.
o o oo o oo o o
Applications of exponential function: Principal, rate, time - evaluate an exact solution and the check your solution using the estimate of the "law of 72".
The following random sample was selected from a normal distribution: 10, 12, 12, 15, 13, 15 & 16.Test the hypothesis that the true mean exceeds 12. [Use α =.01]
Describe the steps necessary to calculate the experimental probabilities of- Drawing two red cards one after the other from the given deck if the cards are returned to the deck after each pick.
Probability - poker fullhouse. A game of poker is played with an ordinary deck of 52 cards, and each player is dealt a hand of 5 cards chosen at random
Calculate the probability that the rent of a randomly selected unit.
Find the upper & lower confidence limit.
Standard Deviation of Expected Profits. Suppose that next year the U.S. will be in one of the following economic conditions: Boom, Moderate Growth, Recession, or Depression.
A random sample of 48 days taken at a large hospital shows that averages of 38 patients were treated in the emergency room per day. The standard deviation for the population is four. Determine the 99% confidence interval of the mean number of patient..
Find the probability of random co-incidence, if the probability to get a certain value in both studies was the same, I would expect to have (125/1389)*38=3.41973 data-points with a larger value than the largest value in my study
Sketching the graph of equation of line - Evaluate the equation of each of the lines with the given properties.
Find the Expected value of the investment
Determine the probability without replacement
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