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Tutors Answer Your Questions about Average (FREE)
Question 204174: An independent television station airs a movie-of-the-day every Tuesday and Thursday. Their market research shows that their suspense movies are viewed by an average of 3500 people, their comedies are viewed by 4500 people, and their dramas are viewed by 6000 people. The station buys a package of 100 movies, consisting of 15 suspense movies, 40 comedies, and 45 dramas. The movies will be shown two per week for 50 weeks. Find the expected number of viewers on a given movie.
A. 4667 B. 479 C. 140 D. 5025 E. 1400
Click here to see answer by feliz1965(151)   |
Question 205977: Bob wants to have concrete driveway in fron of his house. The driveway will measure 58 2/3 feet long and 18 1/2 feet wide; and will be 3/4 foot thick. How many cubic yards of cement will be needed for the driveway? Round your answer to the nearest cubic yard.
Click here to see answer by Alan3354(6097)  |
Question 206899: Equipment
- MathResources Graphing Tool (provided)
- 8 pieces of 8.5 x 11 paper
- Scissors
- Ruler
- Tape
- Pencil
Procedure
1. Cut each of the 8 pieces of paper into squares measuring 8 inches by 8 inches.
2. Using a pencil and ruler, mark each side off in 1/2 inch increments so that you have created a piece of graph paper that has 16 squares by 16 squares. Repeat this procedure for all 8 pieces of paper.
3. Take one sheet of graph paper and cut out one square out of each of the 4 corners. Fold up the 4 sides to create a box (without a lid) that has 14 squares across the bottom and has a height of 1 square up. You may want to tape the sides in place. This is your first of 8 boxes.
4. Repeat step #3 cutting 1 inch squares from each of the 4 corners and folding up the sides. Continue with the remaining 6 pieces of paper increasing the size of the squares that you will cut out by 1/2 inch. Can the last piece of paper have 4 inch squares cut from each corner? Why or why not?
5. Create a data table like the example data table below.
Note: The measurements are in inches, not squares. Each square is 1/2 inch. Volume should be given in cubic inches.
6. Find the length, width, height, and volume (V = lwh) of each of the 7 boxes, to complete the data table.
Questions
1. Which box has the maximum volume?
2. With the MathResources Graphing Tool, graph the data by placing the height on the horizontal axis and the volume on the vertical axis.) Use a range of x from -5 to 10 and y from -5 to 40. Title and label the axes of your graph. To graph the data click on the button below.
To see your graph, click on the pencil icon. I would recommend pasting the graph into a Word document. Then you can view it throughout the rest of the activity. Choose File, Image, Copy from the menu and then just paste it into a document that you can continuously view.
Very Important: When the Properties dialog pops up choose the "cubic" option for the line that best fits your graph. If the line fits, then your data fits a cubic function.
3. What type of function is your graph? Why?
4. What is the equation of your function? To find this, click on the key icon. You will have to double click inside of the description box and use the right arrow key in order to see the whole equation. Copy the equation from the description box or record the equation on a piece of paper.
5. Use the function plot MathResources Graphing Tool below to graph the function. You can either paste the equation into the function box (remember to get rid of the y = part of the equation) or you can just type in the equation that you recorded in part 4. Use a range of x from -5 to 10 and y from -5 to 40. Again, I would recommend pasting the graph into a Word document. It will be easier to compare the two graphs and easier to save and submit them.
6. Where does your function graph intersect the x-axis? Use the tracker icon to get the coordinates. Round your answers to 2 decimal places and remember, y=0 or close to it. These points are called the zeros of the function. Notice that you are able to see the zeros in the graph of the function but not in the graph of your actual data. What is the reason for that? Think about the differences between real data and the graph of an equation.
7. Locate the highest point on your graph using the tracker icon. What does this point represent?
8. Just for fun, what type of product could be packaged in the container that has the maximum volume? Why?
I need help on this. I know its alot but I have nobody else to help me.
Click here to see answer by Alan3354(6097) |
Question 206968: On six exams, Alex has scored 82, 86, 75, 91, 92, and 87 points out of 100. He wants to earn at least a B in the course, which corresponds to an overall average grade of 82 or better. Out of 100 points, what is the minimum number of points Alex must earn on the final exam to achieve this goal?
Click here to see answer by ankor@dixie-net.com(6693)  |
Question 206978: A company is considering manufacturing a new product that has two different flavors, orange and cherry. They surveyed 150 people. The results are as follows.
75 liked cherry
94 liked orange
22 like both flavors
Construct a Venn diagram and answer the following:
a) how many liked only orange flavor?
b) how many liked only cherry flavor?
c) how many liked either one or the other or both?
d) how many liked neither?
Click here to see answer by mickclns(59) |
Question 207503: 9. In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; history is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” in Microbiology?
A. 2.59
B. 2.86
C. 3.08
D. 3.33
E. 3.67
Click here to see answer by ankor@dixie-net.com(6693) |
Question 208766: Use Euler Diagrams to determine whether the following syllogism is valid or invalid.
All golfers have golf carts.
All members of the A club have golf carts.
--------------------------------------------------
All members of the A club are golfers
Click here to see answer by DRichardson(63)  |
Question 210360: The average temperature for a five-day business week was 23 degrees. The temperatures for three of the days were 21 degrees, 30 degrees , and 22degrees respectively. Of the two remaining days, the warmer of the two is 6 degrees more than the cooler of the two. Determine the cooler of the two remaining temperatures.
Click here to see answer by stanbon(26297) |
Question 211064: 1000 raffle tickets are sold at $3 each. One grand prize of $100 and two consolation prizes of $75 will be awarded. Find Jake’s expectation if he purchases one ticket.
A) -$2.75 B) -$3.00 C) $0.24 D) $2.75 E) $3.00
Click here to see answer by edjones(3298)  |
Question 211061: A box of chocolates contains 20 identically shaped chocolates. Four of them are filled with jelly, seven are filled with caramel, and nine are filled with nuts. What is the probability that one chocolate chosen at random is filled with caramel or nuts?
Click here to see answer by edjones(3298) |
Question 211059: Researchers find that the 2004 population of California was 35,893,799, the 2004 population of Pennsylvania was 12,406,292, and the total US population was 293,655,404. What is the probability that a randomly selected US resident did not live in California? Round to the nearest thousandth of a percent.
Click here to see answer by edjones(3298) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765
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