53. Insect Mating Patterns In an experiment testing methods ofsexually attracting male insects to sterile females, equal num-bers of males and females of a certain species are permitted tointermingle. (Such an experiment tests ways to control insectpopulations.) Assume thatM(1) = 4r2 + 2r/2approximates the number of matings observed among the in-sects in an hour, where t is the temperature in degrees Celsius.(This formula is valid only for certain temperature ranges.)Find the number of matings at the following temperatures.а. 16°Cb. 25°Cc. Find the rate of change in the number of matings when thetemperature is 16°C.

This question is based on Substitution and Derivative of function.

Answered: Insect Mating Patterns In an experiment…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...

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2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1
The revenue per month earned by the Couture clothing chain at timetisR(t) =N(t)S(t),whereN(t) is the number of stores andS(t) is the average revenue per store per month. Couturereleases a statement to their investors saying that currently they have 50 stores with a total revenueof$7,500,000 and expect to increase the number of stores by about 2 stores per month and increasetotal revenue by about$250,000 per month. What does this statement imply about the current rateof change of the average revenue per store per month?
7. A model relating a student's number of hours spent on studying and resulting finals grade is Grade 30+2X If the student does not study, what will be the grade of the student? 30 2 Cannot be determined 0
13. Find the minimum and maximum value of the function on the giveninterval.y = 2x 2 + 4x + 5 [-2, 2]
An experiment is conducted to determine the relationship between the amount of a certain drug in the bloodstream and the length of time it takes to react to a stimulus. A random sample of 5 persons who took this drug is selected. The amount of drug in the bloodstream x and the reaction time y in selected persons showed that Amount of drugs x: 2 1 4 3 5 Reaction time y: 1 1 2 2 4 Σx=15 , Σx² = 55, Σy=10, Σy² = 26, Σxy = 37 (a) Compute SSxx, SSyy, and SSxy (b) Compute the correlation coefficient r and explain it in the context of the problem. (c) Find the equation of the regression line between y and x.
A researcher wants to explore the differences in health effects from two different types of sugar. She hypothesizes that artificial sweetener has lower long term health benefits than natural sugar. What is her null hypothesis? Fill in the blank. H0: μArtificalSweetener__________ μNaturalSugar Group of answer choices a) Less than b) Less than or equal to c) Greater than d) Greater than or equal to
29 A. Between these times, about 2,000 more megawatts of eletricity are used every hour. B. Between these times, about 500 fewer megawatts of electricity are used every hour. C. Between these times, about 500 or more megawatts of electricity are used every hour D. Between these times, about 2,00 fewer megawatts of electricity are used every hour.
The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. Suppose that the joint pmf of X and Y is modeled as fxy (x,y)=c(x+y), x=1,2,3 and y=1,2,3. Check if the number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are independent.
If you found t(60) = 1.70, one tailed, what can we conclude about this results significance? A) The t obtained value exceeds the critical value at the p < 0.05 level but not the p < 0.01 level B) The t obtained value exceeds the critical value at the p < 0.05 level and the p < 0.01 level C) The t obtained value does not exceed either the critical value at the p < 0.05 level or the p < 0.01 level D) The t obtained value exceeds the critical value at the p < 0.01 level but not the p < 0.05 level
Hypertension A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been dif- ficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treat- ment by taking the right number of pills. 4.32 If the preceding 50% rates were each reduced to 40% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is, would the mortality rate decrease and, if so, what percentage of deaths among hypertensives could be prevented by the education program?
Hypertension A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been dif- ficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treat- ment by taking the right number of pills. 4.32 If the preceding 50% rates were each reduced to 40% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is, would the mortality rate decrease and, if so, what percentage of deaths among hypertensives could be prevented by the education program? The image shows a solution to the question above I did not understand how the first steps were solved. Please explain all the steps
Determine the uncertainties in x2 and y2 using the rule for propagating uncertainties when multiplying two numbers. x=80, y=60, ∆x= ∆y=5.

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