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At school A, 12 of its 60 students like rock. At school B, 18 of its 120 students like rock. What percentage of students like rock in each school? In which school do you like rock the most?
General
4 months ago
Point B = (-1, -1) belongs to the graph of the function h, where h(x) = f(x - 2) + 3. Determine the coordinates point A belonging to the graph of the function f.
General
4 months ago
a A die is tossed twice. What is the probability of getting a sum of 20 ?
General
4 months ago
If cos^2(a)=1/4, what is the value of tan(a)
General
4 months ago
A 10 meter long ladder is supported by a vertical wall. If its base moves at a rate of 2 m/s horizontally in the opposite direction to the wall, determine the rate of change of the top of the ladder when its base is 8 meters from the wall.
General
4 months ago
Calculates the product of the first eight terms of GP (1/8,1/4,1/2,...)
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4 months ago
The product of the first ten terms of PG(1,-2,4...)
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4 months ago
The product of the first ten terms of PG(1,-2,4..)
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4 months ago
AGB 311: Agribusiness statistics Assignment 1 (Units 1 and 5) Due date (ODL): 29th October, 2023 1) In a study to examine consumer preference for milk in Kabwe, a randomly selected number of consumers were asked to indicate the number of times each of them drunk a full cup of milk in the past one month. The data below presents the number of times each responded indicated. 5, 9, 0, 3, 1, 1, 6, 0, 5, 9, 0, 3 Treating this data as ungrouped data, determine the following: a) Mean (1) b) Median (1) c) Mode (1) d) Mean absolute deviation (1) e) Variance (1) f) Standard deviation (1) g) What shape of distribution is exhibited by the data above? Explain. (1) h) Use a bar graph to depict the dataset above (1) i) Interpret your answer in part c above. (1) 2) The manager of a local agro-store is studying the number of items purchased by customers in the late afternoon hours of each day of the week. Listed below is the number of items for a sample of 20 customers. 3, 23, 7, 17, 12, 18, 2, 20, 9, 16, 4, 17, 8, 19, 3, 18, 5, 9, 17, 3, 20, 7, 13, 2, 14 a) Develop a frequency distribution using a class width of 5. (Note: The lower limit of the first class must be 1 (one)). b) Using the frequency distribution developed in part a above, determine the following 1) Mean (1) 2) Median (1) 3) Mode (1) 4) Mean absolute deviation (1) 5) Variance (1) 6) Standard deviation (1) 7) What shape of distribution is exhibited by the data above? Explain. (1) 8) Present the data above in a histogram (1) 9) Interpret your answer in part 6 above? (1) 3) The use of family members as a source of labor is one of the oldest concepts of farm management. Several studies have attempted to model the relationship between household size and area cultivated for food production. The argument is that the number of family members of a farming household affects the area cultivated by the household. Assuming that a study in Mpongwe district revealed the following data: Area cultivated (ha) Number of household members 3 4 2 1 1 3 1 4 Use this data to, a) Plot the best straight line to fit this data (1) b) Determine the least square regression equation for this data (4) c) Interpret the regression equation in part b above. (2) d) Would you agree that the number of household members is statistically significant in influencing the area farming households cultivate? Test this at the 5% level of significance. (5) e) By how much are variations in the area cultivated explained by variations in the household size? (3) 4) In a bid to understand drivers of cassava farming in Chibombo district, an agribusiness and agricultural economics research class of 2022 took a trip to collect data from small holder farmers in Chibombo district. Among many other things, they wanted to determine whether the number of years individual farming households have been growing cassava is influenced by the gender of the head of the house. Assume that part of the data collected by the students is as presented in the table below: Gender of the household head Number of years the household has been growing cassava 0 4 1 4 0 2 0 3 1 4 1 1 0 3 1 4 Use this data to, a) Plot the best straight line to fit this data (1) b) Determine the least square regression equation for this data (4) c) Interpret the regression equation in part b above. (2) d) Is gender of the household head statistically significant in influencing how long the household has been engaged in cassava farming in Chibombo district? Test this at the 5% level of significance. (5) e) By how much are variations in the number of years the household has been growing cassava explained by variations in the gender of the household head? (3) THE END.
General
4 months ago
In slope intercept form write the equation of a line that has a slope of -3 and passes through (1,1).
General
4 months ago
From 2017 to 2020, registration at a dance school underwent three annual increases of 16%, 15% then 20%. calculate the average annual rate of change, to the nearest 0.01%
General
4 months ago
A bottle of honey costs S/ 180, if the honey costs S/ 100 more than the bottle. How much do you pay for the bottle? step by step explanation in detail
General
4 months ago
Throughout the day, Karen serves food several times to her five cats Mishito, Mishi, Mish, Misho and Mishote. At each meal Karen serves four dishes for four different cats. Misote eats seven times a day and no one eats as much as him; On the other hand, Mishito eats three times a day and no one eats as little as him. Determine the number of times a day the remaining three cats eat.
General
4 months ago
calculate the distance from the parabola y = x² + 1 to the line x - y = 2
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4 months ago
Justify the equality of the following equations: 7-2x=2(1-x)
General
4 months ago
Justify the equality of the following equations: Ixl=-0.1
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4 months ago
One producer pays $52 of VAT per unit on one good, the VAT rate is 15.8%, the exchange rate between dollar and yen is 0.00545$/yen and he makes a return of 23% on the price VAT included. What is the cost per unit, in yen?
General
4 months ago
-5(3x+1)+7(5x-2)
General
4 months ago
Solve the following derivatives using rules and derivative algebra (give the simplified result). f(x)= (4x - 1)/(2x^2+3x-1)
General
4 months ago
A street light is at the top of a 11.5ft. tall pole. A man 5.9ft tall walks away from the pole with a speed of 6.5 feet per sec along a straight path. How fast is the tip of his shadow moving when he is 35 feet from the pole? Hint: Draw a picture and use similar triangles.
General
4 months ago
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