Mathematics

Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P ( x
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Danny buys a bag of cookies that contains 8 chocolate chip cookies, 7 peanut butter cookies, 6 sugar cookies, and 9 oatmeal cookies. 19 What is the probability that Danny reaches in the bag and randomly selects an oatmeal cookie from the bag, eats it, then reaches back in the bag and randomly selects a sugar cookie? Round your answer to four decimal places.
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Find an antiderivative F(x) of the function f(x) = 2x + 7x - 3 such that F(0) = 1. F(x)= Now, find a different antiderivative G(z) of the function f(x) = 2x + 72-3 such that G(0) = -9. G(x) =
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Using the line of best fit equation yhat = 0.88X + 1.53, math the predicted y scores to the X- values. X = 1.20 [Choose] X = 3.33 [Choose ] X = 0.71 [Choose ] X = 4.00 [Choose ]
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If consumption is $5 billion when disposable income is $0, and the marginal propensity to consume is 0.90, find the national consumption function C(y) (in billions of dollars). C(y) = Need Help? Read It Watch It 6. [-/1 Points] DETAILS HARMATHAP12 12.4.017. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If consumption is $3.9 billion when income is $1 billion and if the marginal propensity to consume is 0.2 dC dy = 0.5 + (in billions of dollars) Vy find the national consumption function. C(y) = Need Help? Read It Watch It DETAILS HARMATHAP12 12.4.024. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose that the marginal propensity to save is ds dy = 0.23 (in billions of dollars) and that consumption is $9.1 billion when disposable income is $0. Find the national consumption function. C(y) = 7. [-/2 Points]
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Solve for u. 2u-4=7u If there is more than one solution, separate them with c If there is no solution, click on "No solution." = 0 3 08 0/6 x 5 U = 0,0,...
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D Price Competition: Imagine a market with demand p(q) = 100 q. There are two firms, 1 and 2, and each firm i has to simultaneously choose its price P. If pip, then firm i gets all of the market while demands no ones the good of
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There were 34 marbles in a bag. Of these, 24 were black and the rest were red. For a game, marbles of each color were chosen from the bag. Of the 24 black marbles, 5/6 were chosen. Use this information to answer the questions below. If not enough information is given to answer a question, click on "Not enough information." (a) How many of the bag's black marbles were chosen? (b) How many of the bag's red marbles were not chosen? (c) How many of the bag's black marbles were not chosen?
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A group of people were asked if they had run a red light in the last year. 495 responded "yes", and 491 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal accurate to at least 3 decimal places
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A function f is defined by f(x) = f. 3-8x/2. (7.1) Explain why f is a one-to-one function. (7.2) Determine the inverse function of f
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The following ODE describes the motion of a swing with a wind force Fcost: dx pdx + dt6 dtax = Fcost Where a = (1+B) with B being the last digit of your URN and p = (1+G) with G being the second last digit of your URN. F and are some constants. (a) Describe the motion of the swing in the absence of wind, assuming it was let go from an angle of 20 from equilibrium. Use the natural frequency and dampening parameter to justify your answer. [5] (b) Identify what wind force(s) would be problematic for the swing stability. [3]
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A hypothesis test, at the 0.05 significance level, is conducted in order to determine if the percentage of US adults who expect a decline in the economy is equal to 50%.
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The cylinder below has a radius of 4cm and the length of 11cm
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Evaluate the circulation of the following vector fields around the curves specified. Use either direct integration or Stokes' theorem. (a) F = 2zi+ yj+xk around a triangle with vertices at the origin, (1, 0, 0) and (0, 0, 4). (b) F = xi+yj + zk around a unit circle in the xy plane with center at the origin.
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Q.8 Suppose that (Y) is an AR(1) process with-1
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use limits to compute the derivative f'(2) if f(x) = 5x^3f'(2) =
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what is an equation for the line passing through the points (2,4) and (2,7)
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7. [25] Use the indicated steps to solve the heat equation: = 0 0 subject to boundary conditions u(0, t) = 0, u(L, t) = 0, u(x,0) = x, 0
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Mr. Smith is purchasing a $160000 house. The down payment is 20 % of the price of the house. He is given the choice of two mortgages: a) a 25-year mortgage at a rate of 9 %. Find (i) the monthly payment: $___ (ii) the total amount of interest paid: $____ b) a 15-year mortgage at a rate of 9 %. Find (i) The monthly payment: $___(ii) the total amount of interest paid: $___
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In a survey American adults were asked; Do you believe in life after death? Of 1,787 participants, 1,455 answered yes. Based on a 95% confidence interval for the proportion of American adults who believe in life after death, we can infer that:a.Between 15% and 25% of Americans believe in life after death.b.Between 75% and 85% of Americans believe in life after death.c.Between 85% and 95% of Americans believe in life after death.d.More than 95% of Americans believe in life after death.e.Between 55% and 65% of Americans believe in life after death.F.Between 25% and 35% of Americans believe in life after death.g.Between 35% and 45% of Americans believe in life after death.h.Between 45% and 55% of Americans believe in life after death.i.Between 5% and 15% of Americans believe in life after death.J.Less than 5% of Americans believe in life after death.k.Between 65% and 75% of Americans believe in life after death.
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determine whether there are any transient terms in the general solution cos(x) dy dx (sin(x))y = 1
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Find the area of a sector of a circle having radius r and central angle 8. If necessary, express the answer to the nearest tenth.r = 47.2 cm, =/11 radians a. 636.2 cm b. 6.7 cm c. 101.3 cm d. 318.1 cm
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Suppose the PMF of the random variable X is px(x) = (0.1.2...(x) where >0. x! Obtain the factorial moment generating function of X and derive the mean and variance from it. Exercise: e-2 2 4. Suppose the PMF of the random variable X is px(x) = x! Obtain the MGF of X and derive the mean and variance from the MGF. (0.1.2....(x) where ^>0.
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Find the first three terms of Maclaurin series for F(x) = In (x+3)(x+3)
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