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- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?Suppose that a healthy population of some species is growing in a limited environment and that the current population P0 is fairly close to the carrying capacity M0. You might imagine a population of fish living in a freshwater lake in a wilderness area. Suddenly a catastrophe such as the Mount St. Helens volcanic eruption contaminates the lake and destroys a significant part of the food and oxygen on which the fish depend. The result is a new environment with a carrying capacity M1 considerably less than M0 and, in fact, less than the current population P0. Starting at some time before the catastrophe, sketch a “before-and-after” curve that shows how the fish population responds to the change in environment.To facilitate rapid delivery, Samurai Van Logistic Company requires that all baggage must bein box-shaped with a sum of the length, width, and height not exceeding 120 inches. Whatare the dimensions and volume of a square-based box with the greatest volume underthese conditions?
- How long will it take a population of bacteria to reach a certain size, given that we know its growth rote?One effect of the pesticide DDT upon birds is to inhibit the production of the enzyme carbonic anhydrase, which controls calcium metabolism. It is believed that this causes eggshells to be thinner and weaker than normal and makes the eggs more prone to breakage. An experiment was conducted where 16 sparrow hawks were fed a mixture of 3 ppm dieldrin and 15 ppm DDT (a combination often found in contaminated prey). The first egg laid by each bird was measured, and the mean shell thickness was found to be 0.19 mm. A “normal” eggshell has a mean thickness of 0.2 mm. What are the null and alternative hypotheses?The City Council proposed to utilize government-owned land with an area of 9,600 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the rate at which the total average number of COVID cases is increasing at x=10 tents and dx/dt=1 tent per day, given that if 30 tents are built, the average number of COVID cases per tent will be 7 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.
- The City Council proposed to utilize government-owned land with an area of 9,600 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the rate at which the total average number of COVID cases is increasing at x=10 tents and dx/dt=1 tent per day, given that if 30 tents are built, the average number of COVID cases per tent will be 7 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding. A. Illustration and Representation of Variables B. Detailed Solution (do not use piecewise) C. ConclusionCould you help me calculate r? Also could you demonstrate how to find the critical value?Jarrid Medical, Inc., is developing a compact kidney dialysis machine, but its chief engineer,Mike Crowe, is having trouble controlling the variability of the rate at which fluid moves through the device. Medical standards require that the hourly flow be 4 liters, plus or minus0.1 liter, 80 percent of the time. Mr. Crowe, in testing the prototype, has found that 68percent of the time, the hourly flow is within 0.08 liter of 4.02 liters. Does the prototype satisfythe medical standards?
- To deal with the phenomenon of alpha inflation when doing multiple t-tests, what post-hoc tests such as the Bonferroni Correction do is _____. * Divide the critical value of t by the number of comparisons Multiply the alpha by the number of comparisons Divide the alpha level by the number of comparisons Multiply the critical value of t by the number of comparisonsc) what is the critical value?A clinical trial is being conducted in order to determine the efficacy of a new drug that will be used to treat rheumatoid arthritis. The efficacy of the medication will not only be determined by the physical improvement of symptoms but will also be determined by using a blood test to examine the concentration of c-reactive protein in an individual's blood. If the researcher wants a margin of error for the level of c-reactive protein to be less than or equal to 2.0 mg/d and if the standard deviation for c-reactive protein concentrations among arthritis patients was previously documented as 7 mg/dl, how many patients should be recruited for each group of individuals in the study, assuming a 95% confidence interval will be used to quantify the mean differences between the control group and the treatment group? A. n for treatment group = 95 and n for control group = 95 B. n treatment group = 48 and control group = 48 C. n treatment group = 47 and control = 48 D. n treatment group = 48…