Question Solved1 Answer QUESTION 8.1 A researcher wants to investigate the number of hours a week a typical college student dedicates to study. From past studies, we know that the standard deviation of similar studies is 3.1 hours. How many students should be surveyed if we want to be accurate within 0.5 hours. Use a 95% confidence level. Write your answer EXACTLY as is given by Excel. Do not round. We need to survey a minimum of A students. Enter an answer. 5 points

A random variable X has the density function:f(x)= K.1/(1+x2), if− ∞ < x < ∞ .Determine K and the c.d.f. associated with. Evaluate the probability P(X≥ 0). Find also the mean and variance of X.

Question 3 1 pts Molecules that contain a large number of functional groups that can interact with other functional groups on other molecules tend to have high boiling points because these interactions have to be broken for the molecules to separate from one another O tend to have low boiling points because the interactions make it hard to separate molecules from one another tend to have high boiling points because these interactions must be broken, AND bonds within the molecule must be broken in order to boiling to occur O tend to boil very easily because these interactions are easier to break than bonds withing a molecule

1. A 24.47 gram sample of copper is heated in the presence of excess chlorine. A metal chloride is formed with mass of 38.12 gram. Determine the empirical formula of the metal chloride. 2. A 61.73 gram sample of copper is heated in the presence of excess oxygen. A metal oxide is formed with a mass of 69.50 g. Determine tge empirical formula of the metal oxide.3. A 6.250 gram sample of iron is heated in the presence of excess bromine. A metal bromide is formed with a mass of 33.07 g. Determine the empirical formula of the metal bromide.

An electric dipole with dipole moment p⃗ p→ is in a uniform external electric field E⃗ E→. Part A Part complete Find the orientations of the dipole for which the torque on the dipole is zero measured counterclockwise from the electric field direction. Enter your answers in degrees separated by a comma. θθ = 0,180 ∘∘ SubmitPrevious Answers Correct Part B Part complete Which of the orientations in part A is stable, and which is unstable? (Hint: Consider a small rotation away from the equilibrium position and see what happens.) The orientation is stable only when p⃗ p→ and E⃗ E→ point in the same direction. The orientation is stable only when p⃗ p→ and E⃗ E→ point in opposite directions. Both orientations in part A are stable. Both orientations in part A are unstable. SubmitPrevious Answers Correct Part C Choose a figure that correctly shows the dipole's own electric field and the external electric field for the stable orientation in part B. Choose a figure that correctly shows the dipole's own electric field and the external electric field for the stable orientation in part B.

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. y = tan(x) 3t + t dt 3 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. tan(x) y = ' 3t+ V7 dt r = sec?(x)V3 tan(x)V tan(x)

The SunriseSunrise Group (SGSG ) is an environmentally conscious organization that buys land with the objective of preserving the natural environment. SGSG receives private contributions and takes no assistance from the government. Fixed costs of operating the organization are $ 1 comma 000 comma 000$1,000,000 per year. Variable costs of purchasing the land (including environmental impact reports, title searches, etc.) average $ 3 comma 000$3,000 per hectare. For the next budget year, SGSG expects to receive private contributions totaling $ 19 comma 000 comma 000$19,000,000. All contributions in excess of costs will be used to purchase land. Requirements 1. How many hectares will SGSG be able to purchase next year? 2. SGSG is considering participating in a new government program that will provide $ 1 comma 000$1,000 per hectare to subsidize the purchase of environmentally sensitive land. If SGSG participates in this program, it estimates the organization will lose $ 5 comma 000 comma 000$5,000,000 in contributions from supporters who believe that accepting money from the government is not consistent with its mission. If SGSG does participate in the program, and its forecasts are accurate, how many hectares of land will it be able to purchase? On financial considerations alone, should SGSG participate in the government program? 3. SGSG is worried that contributions may decrease by more than the $ 5 comma 000 comma 000$5,000,000 it has estimated if it takes the subsidy. By how much can contributions decrease for SGSG to be able to buy the same amount of land if it takes the government subsidy or rejects it? (i.e., what is the point of indifference between the two options?)