Question Question 6 10 pts You are calculating a 90% confidence interval for the difference between the average height of female and male Emperor penguins. You have data from a random sample of 25 males and 23 females. When you compute the margin of error, what is the critical value that you use? qt(0.95, df -22) O qt(0.95, df -24) O qt(0.9. df - 22) O qt(0.95, df - 24)

Question 2 I" Each rear tire on an experimental airplane is supposed to be filled to a pressure of 40 pounds per square inch (psi). Let X denote the actual air pressure for the right tire and Y denote the actual air pressure for the left tire. Suppose that X and Y are random variables with the joint density function Sk(22 + y2), 30 < <50, 30 Sy <50, , elsewhere. (a) Find k. (b) Find P(30 < X < 40 and 40 SY <50). () Find the probability that both tres are undexfilled. Chocola

please fill in the blanks. Module 6 Problem Set eBook Show Me How Dividends Per Share 1. BE.12.08.ALGO 2. BE.11.07 Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 80,000 shares of cumulative preferred 3% stock, $20 par and 410,000 shares of $25 par common. 3. BE.12.03.ALGO During its first four years of operations, the following amounts were distributed as dividends: first year, $33,000; second year, $72,000; third year, $90,000; fourth year, $100,000. 4. BE.12.01.ALGO Determine the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "0.00". 5. BE.12.07 1st Year 2nd Year 3rd Year 4th Year 6. EX.12.01.ALGO Preferred stock (dividends per share) 0.41 х х Х 7. BE.12.06.ALGO Common stock (dividends per share) 8. EX.11.01 Feedback

What evidence supports the conclusion that the SLC24A5 gene contributes to the production of melanin in humans in the same way it does in fish? Select all that apply. Hint: Review the section of the paper entitled “Conservation of golden gene structure and function in vertebrate evolution.” A)Injection of golden zebrafish larva with human SLC24A5 messenger RNA (mRNA) restores the fish’s ability to make melanin. B.)The slc24a5 protein produced by the gene in the zebrafish is 68 – 69% similar to the SLC24A5 protein in humans. C)At least 93% of East Asians share the same G allele of the SLC24A5 gene with Africans, yet East Asians are usually light skinned. D)The zebrafish slc24a5 gene and the human SLC24A5 gene are both expressed at high levels in skin and eyes.

(1 point) Determine the average rate of change of the following function between the given values of the variable: f(x) = x4 - - X; x = -2, x = 3 Average rate of change = .

Question Suppose three point masses are placed in the xy-plane as follows (assume coordinates are given in meters): mi = 5 kg, placed at (-2, -3) m2 = 3 kg, placed at (2,3) 'm3 = 2 kg, placed at (-3, -2) Find the center of mass of the system. Write your answer as an ordered pair Provide your answer below:

let f(x)= x^2-5, g(x)= 2x^3+x and p(x)= f(x)g(x). a) computedp/dx b) compute f'(x)g'(x)