Get college assignment help at uniessay writers A certain bacteria population is known to quadruples every 30 minutes. Suppose that there are initially 80 bacteria. What is the size of the population after hours?
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Jan hires three types of laborers (A, B, and C) and pays them $8, $6, and $5 per hour, respectively. If the total amount paid is $2,800 for a total of 500 hours of work, find simple algebraic expressions and an appropriate set of constraints for the various possible number of hours put in by the three categories of workers if category C workers must work the largest number of hours.
A semicircle with radius 4 m is submerged vertically in water so that the top is 1 m above the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole number.)
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Let represent her total salary this month (in dollars), and let represent the number of copies of History is Fun she sells. Write an equation relating to , and then graph your equation using the axes below.
Create a two column relative frequency table, in excel and attach. There are ten students, the number of books they have purchased this semester are 4,3,7,2,8,6,1,0,3,5
Determine the test statistic (Z* or t*) and the p‐value for each of the each of the following situations and determine if they would cause the rejection of the null hypothesis if the confidence level was set at 95% in each case. (Hint: be wary of the sample size): a) Ho: μ ≤ 35.8 g, Ha: μ > 35.8 g, sample mean = 39.1, sample standard deviation = 7, n = 36. b) Ho: μ ≥ 145 km/h, Ha: μ < 145 km/h, sample mean = 138.5, s = 34, n = 42. c) Ho: μ = 2.48 m, Ha: μ ≠ 2.48 m, sample mean = 2.99, s = 0.68, n = 11. d) Ho: μ ≥ 68.0 minutes, Ha: μ < 68.0 minutes, sample mean = 67.3, s = 3.9, n = 28. e) Ho: μ = 22.7 °C, Ha: μ ≠ 22.7 °C, sample mean = 23.4 °C, s = 1.24 °C, n = 32.
Get college assignment help at uniessay writers For a holiday party, Kathleen is making a six-layer torte, which consists of six 8-inch diameter cake layers with a cream topping on each layer. She knows that one recipe of cream will cover 50 square inches of cake. How many batches of the topping must she make to complete her torte?
Petra’s Plymouth travels 200 miles at a certain speed. If the car had gone 10 mph faster, the trip would have taken 1 hour less. Find Petra’s speed.
Five hundred feet of fencing is available for a rectangular pasture alongside a river, the river is serving as one side of the rectangle. Find the dimensions for the greatest area.
A car is traveling at 90 km/h when the driver sees an accident 40 m ahead and slams on the brakes. What constant deceleration is required to stop the car in time to avoid a pileup? (Give your answer correct to two decimal places.)
A particle is moving along the curve y= 5sqrt(5 x 11). As the particle passes through the point (5, 30), its x-coordinate increases at a rate of 3 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Create a histogram of the weekly operating profits from the prior year of operation, using 6 equal sized bins. What is the mode on the histogram? How would you define it? Which probability distribution does the histogram resemble? (You may wish to use the Excel file SierraTrees_data.xls provided at the class web site.) b. What was the average weekly profit for the prior 12-month period? Determine and define the variance and standard deviation of weekly profit. c. How confident are you of this estimate? Calculate a 99% confidence interval for weekly profits, assuming that sigma is unknown. What does this tell you about weekly profits? d. Based on the above, what is the expected exposure on the lost profits cliam?
A proof for Hicks’ Third Law
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Let f(t) be an exponential function with f(0)=11 and f(4)=59 Find an equation for this exponential fucntion using the form f(t)=Pa^t
The two formulas f(t)=Pa^t and f(t)=Pe^rt provide two models for the same exponential growth or decay function. How are the exact values of a and r related? (Find a formula for a as a function or r.
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