Let S be the sum of the two faces when a fair die is rolled twice. Work out the moment generating function of S.

Kim throws a ball against a wall at timet = 0. At time t = 1, it hits the wall and then at time t = 2 it is back where it started. If the average speed of the ball is 10 miles per hour, can you apply the MVT to show that the baseball must be traveling at 10 miles/hr at some point between [0,2]?

Find

/3 89. sec²0 d0

Find s' if s - (4x + 1)2 x2 - 2 S %3D

A standard "money demand" function used by macroeconomists has the form In(m) = fo + B,In(GDP) + 62R, Where m is the quantity of (real) money, GDP is the value of (real) gross domestic product, and R is the value of the nominal interest rate measured in percent per year. Supposed that B, = 2.28 and B2 = - 0.09. What is the expected change in m if GDP increases by 1%? The value of m is expected to increase by approximately 2 %. (Round your response to the nearest integer) What is the expected change in m if the interest rate increases from 1% to 6%? The value of m is expected to decrease by approximately 45 %. (Round your response to the nearest integer)

du _ dv ду дх If f(z) =z²+z - %3D

show that e^(4t-3t^2) cannot be a moment generating function

A app.gradally.com TU Apply | Florida International Uni.. FIU First Year Applicant | Admission... UltiPro - UltiPro Login Ü UltiPro In Oregon, = of the soft drink bottles are recycled each year. A bottling company there produces 1.2 milli on bottles and figures that x years later the number U of those still being usedis given by U (x) = 1,200,270| Of those 1.2 milli on bottles, how many 15 are still in use 8 years later? O 20,160 O 9,873 O 7.23 E 46 O 1,126,024 O None of the above 8 00:31:04 4 ВАСK PRE-CALCULUS FORMULA REFERENCE SHEETS 80 esc DII F1 F2 F3 F4 F5 F6 F7 F8 @ # $ % & 3 4 < CO

Suppose X~N(-3,4). Find the probability that x is between 0 and 2. Draw a picture and accurately label the curve for the problem.