HELP

C = 20x + 35. Construct this graph on the given grid for the first 5 hours of lessons.

b. In her Social Work class, Michelle read that the population of a city is presently 20,000 and that the population is expected to grow at a rate of 8% each year. The equation P = 20,000e.08t gives the population after t years. Graph the town’s population over the next 7 years.

6. For the following test scores: 45, 32, 49, 23, 28, 32, 43, 37, 16, 44, find:

a. Mean b. Median c. Mode

d. Calculate the standard deviation: (Briefly describe the steps you used if you completed this on your calculator.)

e. Do these scores form a normal curve? Draw the curve to support your answer.

7. When Asser was preparing for admissions into his graduate program, he took the MAT and the GRE. On which test did he score the best if the following illustrates his results? (Hint, compare z-scores)

a. On the MAT he had a score of 48; the MAT had a mean score of 42 and a standard deviation of 2.5.

b. On the GRE he had a score of 798; the GRE had a mean score of 772 and a standard deviation of 12.3.

8. a. How many 5-digit zip codes are possible? (Assume all digits can be used)

b. How many 5-digit zip codes are possible if they can contain no repeated digits?

9. How many ways can we choose 3 students from a class of 19 to represent Concordia at the U.S. Math Olympics?

10. How many signals can be made from 9 different flags, if one signal is made by hanging three flags on a vertical pole?

11. If a person is randomly selected from Multnomah County, the odds in favor of the person being a registered voter is 4 to 9.

a. What is the probability of a randomly chosen person being a registered voter?

b. What are the odds against the person being a registered voter?

12. An experiment consists of spinning spinner 1 and then spinner 2.

( E at Watch lunch TV ) ( S hop Nap S nack Shop )

1 2

a. What is the probability of eating lunch and then going shopping?

b. What is the probability of watching TV and then having a snack?

13. Find the area of the following figure:

2.4m

5.3m

14. Find the surface area and volume of the following figure:

Surface Area: Volume:

6mm

15. Determine the missing numbers:

a. 4.75 gallons = _________ quarts b. 66 feet = _______ inches

c. 114 ounces = __________ pounds d. 4.5 pints = _______cups

e. 300 cm3 of water = _________ grams f. .062 L = _______ cm3

g. 23 L of water =____ grams h. 55 cm = _________ hm

i. 2.6 acres = __________ ft2 j. 50 yd2 = _________ ft2

k. 16 cm3 = __________ mm3 l. 124 dm3 = _______dkm3

m. 725 dkm2 = ____________ dm2 n. 356 km = __________m

16. What type of symmetry is represented in the following figures?

(There could be more than one!)

a. b. If we are considering the real Eiffel Tower!

17. What is the area of the enclosed region on each geoboard if the unit is 1cm2?

a. . . . . . b. . . . . . c. . . . . .

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18. The curator of an art exhibit wants to place security guards along the four walls of a large auditorium so that each wall has the same number of guards. Any guard who is placed in a corner can watch the two adjacent walls, but each of the other guards can watch only the wall by which he or she is placed. Draw a sketch to show how this can be done with 7 guards.

19. When Julie counted her students in groups of 4 there were 2 left over. When she counted them in groups of 5, she had 1 student left over. If 15 of her students were women, and she had more women than men, how many students did she have? (You know how I like to make everything in to a fun math problem!!!)

20. For a test of 8 true/false questions, Priscilla was curious about the following if she would answer every question by guessing. Determine:

a. The probability of getting the first three questions correct.

b. The odds in favor of answering the first two questions incorrectly.

c. The probability of answering all of the even numbered questions correctly, and all of the odd questions incorrectly.

21. Summer has a 4in by 6in picture of her children that she wants to enlarge. She wants to increase each side by the same amount and end up with a picture that has four times the area of the original picture. What will the dimensions of the new picture be? (To two decimals)

22. As Erica was sending her last 10 graduation announcements, she accidentally just randomly put them into the envelopes and mailed them without checking to see if the addresses matched the cards she placed in the envelopes. What is the probability that they were all correctly inserted into the right envelopes?

23. Alex and Annie were trying to count the number of students at a recent youth gathering they attended and knew the following information. One-half of the students were freshmen, 12 were sophomores, and one-third of the group were juniors and seniors. How many students did they count?

24. Abby is purchasing all-purpose carpeting that costs $37.50 per square meter. What is her cost for carpeting a room from wall to wall that is 460cm by 420cm?

25. On a recent trip to San Francisco, Derrick discovered that the Transamerica Pyramid building has a height of 230 meters and a square base with perimeter of 140 meters. What is the volume to the nearest cubic meter?

26. Jin bought a large pizza and discovered that it had a circumference of 55.42 inches. What was the length of each side of a slice of pizza? (You can assume that each piece is cut evenly!!)

27. Andrea has a rectangular prism fish tank that holds 35 liters of water when filled to the top. If the base of the tank is 40cm by 25cm:

a. What is the height of the tank?

b. Each fish requires 3000cm3 of water. How many fish can fit in this tank?