Question Solved1 Answer Use a local linear approximation to estimate (1.97)3.

1 8. The rate at which a baby bird gains weight is proportional to the difference between its adult weight and its current weight. At time t = 0, when the bird is first weighed, its weight is 20 grams. If B(t) is the weight of the bird, in grams, at time t days after it is first weighed, then 4 = (100 - B). Use the tangent line when t=0 to approximate the weight of the baby bird when t=3

A first order reaction is carried out at 100°C. In order to double the rate constant, the temperature needs to be increased to 200 °C. What is the activation energy of this reaction? a) 10.2 kJ/mol b) 0.098 kJ/mol c) 10165 kJ/mol d) 0.87 kJ/mol e) 1.15 kJ/mol

Hello, if you could possibly help me solve this by clearly showing the steps that would be extremely helpful! Thank You! 49. (a) Use the reduction formula in Example 6 to show that Сп/2 п/2 " sin"-x dx п sin"x dx = п‑ п where n > 2 is an integer. (b) Use part (a) to evaluate " sin'x dx and sin'x dx. (c) Use part (a) to show that, for odd powers of sine, /2 2·4· 6 2n T/2 sin 2n+1 'x dx 3. 5·7. ..·(2n + 1)

Scientists can track the movement of proteins through the endomembrane system using an approach known as a pulse-chase experiment. This experiment involves • the "pulse" phase: Cells are exposed to a high concentration of a radioactively labeled amino acid for a short period to tag proteins that are being synthesized. • the "chase" phase: Any unincorporated radioactively labeled amino acids are washed away and large amounts of the same, but unlabeled, amino acid are added. Only those proteins synthesized during the brief pulse phase are radioactively tagged. These tagged proteins can be tracked through the chase period to determine their location in the cell. The data below were obtained from a pulse-chase experiment in which cells were examined at different times during the chase period. The numbers represent the radioactivity (measured in counts per minute) recorded at each of the indicated sites. The higher the number, the greater the radioactivity ER 162 Time 3 minutes 20 minutes 60 minutes 73 Golgi Cytoplasm Lysosomes Extracellular space 7 21 5 4 88 17 10 8 35 14 112 13 23 18 151 10 9 120 minutes 11 Based on these data, what of the following is the most likely function of the cells in this experiment? O secretion O phagocytosis O detoxification O muscle contraction

[-/3 Points] DETAILS MENDSTATC4 4.E.073. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If an experiment is conducted, one and only one of three mutually exclusive events S, Sy, and Szcan occur, with these probabilities. P(S) = 0.1 P(S) = 0.5 P(Sz) = 0.4 The probabilities of a fourth event A occurring, given that event S, Szor Szoccurs, are the following. P(AIS) = 0.1 P(AIS) = 0.2 P(AS) = 0.4 If event A is observed, find P(S,A), P(S2/A), and P(Sz|A). (Round your answers to four decimal places.) P(SIA) = P(S21A) = P(S31A) = Need Help? Read It (-/1 Points] DETAILS MENDSTATC4 4.E.076. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A worker-operated machine produces a defective item with probability 0.07 if the worker follows the machine's operating instructions exactly, and with probability 0.09 if he does not. If the worker follows the instructions 90% of the time, what proportion of all items produced by the machine will be defective? Need Help? Read It

Sex Race Age 2 2 1 NNN 25 78 70 33 60 78 72 Region Ancestors astrosci educ 2 3 1 1 1 1 1 1 2 3 4 1 3 3 1 2 1 2 2 2 1 3 4 2 3 1 4 2 1 2 1 2 2 3 1 3 2 2 2 3 3 3 1 3 1 3 3 2 2 3 3 1 4 3 Income 16 34.57 15 78.65 17 56.73 18 23.46 13 54.53 13 44.23 16 66.54 16 67.85 25.67 27.87 17 55.61 16 26.54 18 76.54 16 33.46 16 23.47 NN 2 3 2 1 2 1 1 1 1 2 37 44 50 Sex= Sex of the Respondent 1=Male 2=Femal Age Age of the Respondent Race=Race of the Respondent 1= White 2=Black 3-Other Region= Region of Respondent 1= Mid West 2=Mid Atlantic 3= New England Ancestor=Do you believe that your deceased ancestors have supernatural powers? 1= Yes, Definiity; 2= Yes, Probably 3=No, Probably not; 4=no definitely not Astrosci= Is Astrology Scientific; 1=Very Scientific 2=Sort of Scientific 3= Not Scientific at all Educ=Highest Year of School completed Income=Income in 1000s of Dollars For the nominal variables race and region provide the mode and index of qualitative variation (IQV). Which variable has more variation? 2. For ordinal variables ancestor and astrosci provide the mode and median. Describe what each statistic tells you about the data. 3. For interval level variables age, education and income, provide the range, inter-quartile range, mean, median, variance, and standard deviation. Interpret each statistic. Answer the following questions: 4. Briefly explain the difference between measures of central tendency and measures of variability. Why do we need both? Can you think of a situation where central tendency might be misleading if you did not know the variability? 5. Why don't we use means for nominal level variables?