The width of a rectangular garden is m more than the length if the area of the garden is m

is given by the equation , where x is the width of the rectangle in metres. A= -x2 + 10x Make a table of values for this relation in the chart below.

is a function of the width

0.5 kilometers. a) Draw a figure to represent the above problem. Let l and w represent the length and width of the rectangle, respectively. b) Write the area A of the rectangular region as a function of I and in meters (not kilometers). c) Write the area A of the rectangular regional as a function of w and in meters (not kilometers).

two objects and recorded whether or not the dog being tested correctly chose the object indicated. A four-year-old male beagle named Augie participated in this study. He chose the correct object 42 out of 70 times when the experimenter leaned towards the correct object. (a) (2 points) Let the parameter of interest, π, represent the probability that the long-run probability that Augie chooses correctly. Researches are interested to see if Augie understands human body cues (better than gussing). Fill in the blanks for the null and alternative hypotheses. H0 : Ha : (b) (6 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 10%? (If you use an applet, please specify which applet you use, and the inputs.) (c) (5 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 5%? (If you use an applet, please specify which applet you use, and the inputs.) (d) (2 points) Are your conclusions from part (b) and (c) the same? If they are different, please provide an explanation. (e) (5 points) Shown below is a dotplot from a simulation of 100 sample proportions under the assump- tion that the long-run probability that Augie chooses correct is 0.50. Based on this dotplot, would a 90% confidence interval for π contain the value 0.5? Explain your answer. (f) (4 points) Compute the standard error of the sample proportion of times that Augie chose the object correctly. 1 (g) (5 points) (h) (3 points) question? (i) (4 points) (j) (4 points) A. B. C. Construct an approximate 95% confidence interval for π using the 2SD method. What is the margin of error of the confidence interval that you found in the previous How would you interpret the confidence interval that you found in part (g)? Which of the following is a correct interpretation of the 95% confidence level? If Augie repeats this process many times, then about 95% of the intervals produced will capture the true proportion of times of choosing the correct objective. About 95% times Augie chooses the correct objective. If Augie repeats this process and constructs 20 intervals from separate independent sam- ples, we can expect about 19 of those intervals to contain the true proportion Augie chooses the correct objective. (k) (4 points) object 21 out of 35 times. Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval. The center of the confidence interval would . The width of the confidence interval would . (l) (4 points) Suppose that we repeated the same study with Augie, and this time he chose the correct object 17 out of 35 times, and we also change the confidence level from 95% to 99%. Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval. Suppose that we repeated the same study with Augie, and this time he chose the correct The center of the confidence interval would The width of the confidence interval would . .

lly a math problem I gotta solve, and I have no idea how to do it cause of lack of my math skills. I am hoping someone can help me with this or I'm screwed. Co basically I've got this table in excel, where X (row) is a width and Y is a height (column) of a wooden sauna cabin, the X;Y is the price for a sauna with said dimensions. I need to find a relationship between the size of the sauna and the price And formulate ani equation. I can't seem to find it, the price seems to grow non linearly, I can't seem to find any coeficient. Again, I suck at math, maybe solution is simple, but I just don't see it. Can anyone help me please? Table Is at this link https://ibb.co/fGrxSvf . Thanks for any help!

length and the width of the rug.

f x+3 inches solve for x

width around it. The total area of the rug, including the white border, is 35m^2. Find the width of the white border.

bottom of the roof lie on the x-axis. The equation of the function describing the cross-section is h(x)=-|6x|+7, where h is the height of the roof, in metres, and x is the horizontal distance from the centre of the roof, in metres. To the nearest tenth of a metre, what is the width of the bottom of the roof?

s 1600 cubic inches. The height of the box is 8 inches and the length of the box is 2 times longer than the width of the box. What is the width of the box?

e base. Where the height of the arch is 20 feet high , its width is 30 feet. Is it possible for a sailboat with a 31- foot tall mast to pass under the bridge? a diagram it as well (ie - show where the x and y axis are and some of the critical points . write a let statement too

consulting basis by Loving Organic Foods. In order to get a better idea of what might have motivated customers’ buying habits you are asked to analyze the ages of the customers who have purchased organic foods over the past 3 months. Past research done by the Diligent Consulting Group has shown that different age groups buy certain products for different reasons. Loving Organic Foods has sent a survey to 200 customers who have previously purchased organic foods, and 124 customers have responded. The survey includes age data of past customers who purchased organic foods in the previous quarter. Case Assignment Using Excel, create a frequency distribution (histogram) of the age data that was captured from the survey. You should consider the width of the age categories (e.g., 5 years, 10 years, or other). That is, which age category grouping provides the most useful information? Once you have created this histogram, determine the mean, median, and mode. After you have reviewed the data, write a report to your boss that briefly describes the results that you obtained. Make a recommendation on how this data might be used for marketing purposes. Be sure to conduct adequate research on organic foods industry, organic market analysis, and healthy food industry using IBISWorld database or other databases such as Business Source Complete (EBSCO) and Business Source Complete - Business Searching Interface in our online library. Provide a brief description on the industry background and the consumer changing attitudes and behavior toward healthy lifestyles. Also identify the customer demographics of organic food industry and explain how the customers of Loving Organic Foods are different from this target market. Data: Download the Excel-based data file with the age data of the 124 customers: Data chart for BUS520 Module 1 Case. Use these data in Excel to create your histogram. Assignment Expectations Excel Analysis Complete analysis in Excel using the Histogram function. Please watch the following video which covers how to create a histogram in Excel: https://www.youtube.com/watch?v=GL91GrVf3EY If you are not so familiar with Excel, refer to the following link on Excel training videos: https://support.office.com/en-us/article/Excel-training-9bc05390-e94c-46af-a5b3-d7c22f6990bb?ui=en-US&rs=en-US&ad=US Check the professional market research reports from the IBISWorld database to conduct the industry analysis. IBISWorld can be accessed in the Trident Online Library. IBISWorld Overview (n.d.). IBISWorld, Inc., New York, NY. IBISWorld Forecast (n.d.). IBISWorld, Inc., New York, NY. IBISWorld Data and Sources (n.d.). IBISWorld, Inc., New York, NY. IBISWorld Navigation Tips (n.d.). IBISWorld, Inc., New York, NY. Written Report Length requirements: 4–5 pages minimum (not including Cover and Reference pages). NOTE: You must submit 4–5 pages of written discussion and analysis. This means that you should avoid use of tables and charts as “space fillers.” Provide a brief introduction to/background of the problem. Provide a brief description of organic food industry and target market characteristics such as their demographics, lifestyles and shopping behaviors. Provide a written analysis that supports your Histogram age groups (bins). Based on your analysis of the histogram data, provide complete and meaningful recommendations as the data relates to Loving Organic Foods’s marketing strategy. Write clearly, simply, and logically. Use double-spaced, black Verdana or Times Roman font in 12 pt. type size. Have an introduction at the beginning to introduce the topics and use keywords as headings to organize the report. Avoid redundancy and general statements such as "All organizations exist to make a profit." Make every sentence count. Paraphrase the facts using your own words and ideas, employing quotes sparingly. Quotes, if absolutely necessary, should rarely exceed five words. Upload both your written report and Excel file to the case 1 Dropbox.

angles, labelling the length and width of each.

List ALL the possible combinations of length and width in a table. You want to enclose the field for a dog pen. You have only enough money to buy 50 feet or less of fencing. Complete your table with this information. Which possibility (or possibilities) of length and width will fit your budget?

only need to fence three sides because the last side is adjacent to his house. Determine the length and width that would give a maximum area for his dog

width is decreased by 2, the result is a rectangle whose area is 8 sq. units more than the area of the original rectangle. Find the dimensions of the original rectangle.

If you use L to represent the length of the rectangle, then an expression representing the width is W = The length of the rectangle is feet and the width is feet.

't change, but throughout the night the height of the mattress is decreasing. The rate at which it decreases varies over time: at the beginning it is just shrinking a tiny bit, but after a while it starts shrinking faster. If the height of the of the mattress follows the formula h=18-0.2x^2, where h is the height in inches and x is the time in hours, and the length of the mattress is always 74 inches, and the width of the air mattress is always 54 inches, please find the rate at which the VOLUME of the air mattress is changing after 2 hours. V ' = cubic inches per hour after 2 hours. (Round to one decimal place, but take a picture of your work and send it to me if you're worried your answer might be slightly off.)

ound the outside edge of the path?

t one type of ball has a radius of 2.4 cm . The length and width of the box's square base are both twice the radius, and the balls are packaged four to a box, so that the height is eight times the radius. Find the percentage of the box that is filled. Round your percentage to the nearest hundredth. Also round all intermediate calculations to four decimal places. The percentage of the box that is filled, to the nearest hundredth, is %

width is most conducive to studying. Determine a model for the area of such a dorm room as a function of its width. (Don’t forget to see if you need an explicit domain.

dth of the field? Develop an equation and solve.

s 75 inches. If the length is 20 inches, the width is 30 inches. Write an equation to relate the length and width of the box in this situation.

oats that are going to be used in found to be submerge 1 feet into the water.If the water way is to be filled with water 4.5 feet deep,what is the maximum width of the boats?

For each piece of glass, Kyle wants the width to length ratio to be 114 inches : 212 inches. Calculate the unit rate of the pieces and use that information to determine which of the following statements are true. Select TWO that apply. Kyle has a piece of glass that has a length of 412 inches. In order to fit in his mosaic, it must have a width of 9 inches. Kyle has a piece of glass with a width of 312 inches. Since it has a length of 6 inches, Kyle did not use it in his mosaic. Kyle wants the total length of his mosaic to be 2 feet. This will make the width of his mosaic 1 foot. Kyle has one piece in the mosaic with the dimensions of 134 inches long by 312 inches wide.

a tilebased game, 2D rectangle tiles with a size of 5000X5000 pixels per rectangle. I make every rectangle know the 4 neighbouring rectangles in the map so starting from one you can generate an essentially infinite map. I want to move this map around instead of moving the player around, the player stays centered on screen and since the map moves under him it looks like he's the one doing the moving. So I know the following things: Width and height of a single section: 5000X5000 pixels the x and y location of the center section can be a value anywhere from -5000,-5000 to 5000,5000 The visible screen real estate is 1920 X 1080 pixels big 0X,0Y always stars top left, bottom right is 5000X5000 What I need to end up with: A percentage value of howmuch this specific section is visible on screen, "inside the rectangle that is the scfeen)

(x-10), express the length of the rectangle as a binomial

d 5 cm wide. The area of the rectangle is 15cm squared. What is the height of the rectangle? The second question is on another rectangle, the height is a and the width is 3a. The perimeter is 24cm. What is the length of the shortest side. PLEASE HELP

2)(x - 3)(x + 3) d. (x2 - 4)(x2+ 9) Value: 1 The table below shows the cost of purchasing a standard stapler at five office supply stores, A through E. If the median cost of purchasing a standard stapler for these stores was $17.99, which of the following could NOT have been the cost of the stapler for Store A? staplergraph.jpg a. $19.95 b. $18.95 c. $16.95 d. $19.25 Value: 1 If equation image indicator then x = a. 7 b. 1/5 c. 5 d. 1/7 Value: 1 A six−sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of tossing a number less than three? a. 1/3 b. 0 c. 1/2 d. 1/4 Value: 1 If 6m + 4 = 8m, then 4m = a. 6 b. 2 c. 8 d. 4 Value: 1 In the xy-plane, what is the y-intercept of the graph of the equation equation image indicator? a. 2 b. 4 c. 16 d. There is no y-intercept. Value: 1 Which of the following equations has both 2 and −4 as solutions? a. x2 + 6x + 8 = 0 b. x2 - 2x - 8 = 0 c. x2 + 2x - 8 = 0 d. x2 - 2x + 8 = 0 Value: 1 The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure? a. 22 b. 28 c. 35 d. 40 Value: 1 (3x-2y4)-3 = a. equation image indicator b. equation image indicator c. equation image indicator d. equation image indicator Value: 1 A softball is tossed into the air upward from a first floor balcony. The distance of the ball above the ground at any time is given by the function, distance function.png, where h(t) is the height of the softball above the ground (in feet) and t is the time (in seconds). What was the maximum height, in feet, of the softball above the ground after it was thrown? a. 28 b. 30 c. 32 d. 34 Value: 1 A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each of the faculty paid $25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening? a. 20 b. 50 c. 70 d. 80 Value: 1 The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank? a. 21 b. 15 c. 19 d. 9 Value: 1 In the xy−coordinate plane shown below, point P has coordinates (8, −6). Which of the following is an equation of the line that contains points O and P? O and P graph.jpg a. equation image indicator b. equation image indicator c. equation image indicator d. equation image indicator Value: 1 The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9? a. 54 b. 6 c. 2/3 d. 3/2 Value: 1 A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees planted in each row and each row must be complete before it is planted, how many trees will be left over after planting? a. 21 b. 11 c. 0 d. 55

then, she will be 2/3 of the way through the book. How many pages did she read last week? 2) The width of a rectangle is 9 less than 3 times the length. If the perimeter is 75.8 inches, what is the area of the rectangle?