Question Solved1 Answer You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $7; if the faces are both heads, you win $6; if the coins do not match (one shows a head, the other a tail), you lose $3 (win (-$3)). Calculate the mean and variance of y, your winnings on a single play of the game. Note that E(Y) > 0. EY) = V(Y) = How much should you pay to play this game if your net winnings, the difference between the payoff and cost of playing, are to have mean 0?

2. Given the function f(x) = tan-?x. 2.1 Calculate the Maclaurin series expansion of the function f(x) = tan-+ x up to the second non-zero term 3

Please do all 3 questions. Thank you. For parts of the free response question that require calculations, clearly show the method used and the steps involved in arriving at your answers. You must show your work to receive credit for your answer. Examples and equations may be included in your answers where appropriate. A student determines the mass percent of iron in a sample of iron ore by doing a redox titration. The student finds the mass of the sample and then dissolves it in acid to a total volume of 25.00 mL. Using a buret, the student titrates the 25.00 ml solution with 0.017 M K,C1,07. The following reaction occurs during the titration. Cr,0,? (aq) + 6 Fe2+ (aq) + 14 11+ (aq) + 2 Cr3+ (aq) + 6 Fe (aq) + 7 H1,0(1) The student collects the following data Mass of iron ore in original sample Buret reading at end point 0.36 g 45.52 mL 15.05 mL Initial buret reading (a) How many moles of Fe2+ (aq) reacted with the Cr, 0,2- (aq)? B 7 u x X 5 C 12 0/10000 Word limit < (6) Assuming that all the iron in the ore was Fe2+, calculate the mass percent of iron in the ore sample. (b) Assuming that all the iron in the ore was fet calculate the mass percent of iron in the ore sample. B I U x? X2 C 12 0/10000 Word Limit ©) The student learns that the actual mass percent of iron in the ore sample is greater than the experimental value calculated in part (b). The student claims that the difference between the actual and experimental values could have been caused by rinsing the buret with distilled water just prior to filling it with 0.017 M K,Cr,0(aq). Do you agree with the student's claim? Explain your reasoning. В І x X2 5 Ω Ee

Choi Company manufactures two skin care lotions, Smooth Skin and Silken Skin, from a joint process. The joint costs incurred are $400,000 for a standard production run that generates 110,000 pints of Smooth Skin and 140,000 pints of Silken Skin. Smooth Skin sells for $2.80 per pint, while Silken Skin sells for $4.00 per pint. Required: 1. Assuming that both products are sold at the split-off point, how much of the joint cost of each production run is allocated to Smooth Skin using the relative sales value method? 2. If no separable costs are incurred after the split-off point, how much of the joint cost of each production run is allocated to Silken Skin using the physical measure method? 3. If separable processing costs beyond the split-off point are $1.50 per pint for Smooth Skin and $1.00 per pint for Silken Skin, how much of the joint cost of each production run is allocated to Silken Skin using a net realizable value method? 4. If separable processing costs beyond the split-off point are $1.50 per pint for Smooth Skin and $1.00 per pint for Silken Skin, how much of the joint cost of each production run is allocated to Smooth Skin using a physical measure method? (For all requirements, do not round intermediate calculations. Round final answers to nearest whole dollar amounts.) 1. 2. Relative sales value method - Smooth Skin Physical measure method - Silken Skin Net realizable value method - Silken Skin Physical measure method - Smooth Skin 3. 4.

The effect of temperature on the rate of a reaction was studied and the following data obtained: k (s¹) T (°C) 7.98x10-4 9 1.16x10-3 14 1.79x10-3 20 2.54x10-3 25 4.93×10-3 35 7.64x10-3 42 1.23x10-² 50 1.47x10-2 53 It is known that the variation of the rate constant k with the absolute temperature T is described by the Arrhenius equation: k = A exp [(-E₂ The effect of temperature on the rate of a reaction was studied and the following data obtained: k (s¹) T (°C) 7.98x10-4 9 1.16x10-3 14 1.79x10-3 20 2.54x10-3 25 4.93×10-3 35 7.64x10-3 42 1.23x10-² 50 1.47x10-2 53 It is known that the variation of the rate constant k with the absolute temperature T is described by the Arrhenius equation: k = A exp [(-E₂ )/(RT)] where E, is the activation energy, R is the universal gas constant and A is the pre-exponential factor (units of the rate constant). Taking the natural logarithm of both sides affords: Ea In k = In A- RT For a plot of y = Ink versus x = 1/T, calculate the slope of the best straight line using linear regression.

Choi Company manufactures two skin care lotions, Smooth Skin and Silken Skin, from a joint process. The joint costs incurred are \( \$ 410,000 \) for a standard production run that generates 290,000 pints of Smooth Skin and 130,000 pints of Silken Skin. Smooth Skin sells for \( \$ 2.50 \) per pint, while Silken Skin sells for \( \$ 4.00 \) per pint. Choi Company manufactures two skin care lotions, Smooth Skin and Silken Skin, from a joint process. The joint costs incurred are \( \$ 410,000 \) for a standard production run that generates 290,000 pints of Smooth Skin and 130,000 pints of Silken Skin. Smooth Skin sells for \( \$ 2.50 \) per pint, while Silken Skin sells for \( \$ 4.00 \) per pint. Requlred: 1. Assuming that both products are sold at the split-off point, how much of the joint cost of each production run is allocated to Smooth Skin using the relative sales value method? 2. If no separable costs are incurred after the split-off point, how much of the joint cost of each production run is allocated to Silken Skin using the physical measure method? 3. If separable processing costs beyond the split-off point are \( \$ 1.60 \) per pint for Smooth Skin and \( \$ 1.30 \) per pint for Silken Skin, how much of the joint cost of each production run is allocated to Silken Skin using a net realizable value method? 4. If separable processing costs beyond the split-off point are \( \$ 1.60 \) per pint for Smooth Skin and \( \$ 1.30 \) per pint for Silken Skin, how much of the joint cost of each production run is allocated to Smooth Skin using a physical measure method? (For all requlrements, do not round Intermedlate calculations. Round flnel answers to nearest whole doller amounts.)

Please write your answer in python Define a function called sasquatch(), which has one parameter. Name the parameter whatever you want The function should print the value of its parameter to the console. Additional Notes: Regarding your code's standard output, CodeLab will check for case errors and will check whitespace (tabs, spaces, newlines) exactly.