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1. x - 23 =12 Solve for x
2. 2z + 12 = 5z - 9 Solve for z
3. 1/3 + 3/8 = ?
4. 2/3 -1/ 4 = ?
5. Solve for x: ¼(x-2) - ½(x-4)
6. (4x)(2x) = ?
7. Write in interval notation the real numbers greater than or equal to 3 and less than 9.
8. 2a(4a - 5) - 3a(2a - 5) Simplify
9. The approximate distance in feet that a baseball will travel when hit at an angle of 45 degrees is given by the expressionv2 /32 where v is the initial velocity in ft/sec.
If the ball had an initial velocity of 120 ft/sec, how far will it travel?
10. Translate the verbal expression into an algebraic expression: a cubed minuis b cubed.
The 30 members of an orchestra were asked how many instruments each could play. The results are set out in the frequency distribution. Calculate the mean number of instruments played:
The grades of a sample of 5 students, selected from a large population, are given below. Determine a point estimate for the variance of the population.
Setermine the probability that a specific driver had exactly two violations?
Plot this 20 maxima again on normal probability paper derive the theoretical distribution function for this 20 maxima and draw the CDF in the same plot.
What is the difference between hypothesis and theory? If there is a difference between the two, what comes first - hypothesis or theory?
The waiting time to place an order at a branch of a fast-food chain during the lunch hour has had population mean of 3.55 minutes, with a population standard deviation of 1.1 minute.
Suppose the population standard deviation is 0.3 minutes and the sample mean is 9.975. Find the sample mean and compute. A 90-percent confidence interval for the true mean delivery time, is?
This requires you evaluate the data (on the next sheet) and apply Queueing Theory to determine the characteristics of the queues. Please refer to the concept on Queuing Theory for the procedures to do.
Comparing the experimental and theoretical probabilities, can you say the die used in this experiment is a fair die? Why or why not?
An olympic archer is able to hit the bull's-eye 70% of the time. Assume each shot is independent of the others. If she shoots 6 arrows, what is the probablitly that she never misses?
Make a decision regarding the null hypothesis based on the sample information. Interpret the results of the test and state your conclusion.
Use three decimal places in your answers for this problem. The following table was collected.
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