Numerade

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Suppose that the scores on a statewide standardized test are normally distributed with a mean of 63 and a standard deviation of 5. Estimate the percentage of scores that were (a) between 58 and 68. 0 % (b) above 73. % (c) below 48. % (d) between 48 and 73. %

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What is the cost of goods for a furniture piece that has a trade discount of 30% and 10%. The list price of the item is $1400.

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1. Consider an infinite square well potential with the following properties. $\infty$, for $|x| > L/2$ $V(x) = \begin{cases} +\infty, \\ 0, \text{otherwise.} \end{cases}$ (1) This is identical to the square well we treated in class and exercises, but now we have defined it so that the infinite square well is symmetric around the origin. (a) We will split our infinite square well into two solutions using odd and even wavefunctions, $\psi_{-}(x) = \psi(x) - \psi(-x)$ and $\psi_{+}(x) = \psi(x) + \psi(-x)$. Note that $2\psi(x) = \psi_{-}(x) + \psi_{+}(x)$. (b) Solve for the wavefunctions and energy eigenstates for the infinite square well for even wavefunctions (go through all the steps starting with the time independent Schrodinger eq). Do the same for odd wavefunctions. (c) Show that taken together, these produce the same result we obtained in class for an infinite square well with $V = 0$ over the interval $0 \le x \le a$.

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QUESTION 5 1. Find the value of a such that the following function f(x,y) is a density: f(x,y) = a, 0 <= x <= y <= 1 f(x,y) = 0, otherwise 2. Evaluate the marginal densities 3. Evaluate the conditional density of x given y = 0.8 a = 1.00, f(x) = 1.00(1-x), for 0 <= x <= 1 f(y) = 1.00y, 0 <= y <= 1 f(x|y=0.8) = 1.25 for 0 <= x <= 0.8 a = 2.00, f(x) = 2.00x, for 0 <= x <= 1 f(y) = 2.00y, 0 <= y <= 1 f(x|y=0.8) = 1.25 for 0 <= x <= 0.8 a = 2.00, f(x) = 2.00(1-x), for 0 <= x <= 1 f(y) = 2.00y, 0 <= y <= 1 f(x|y=0.8) = 1.25 for 0 <= x <= 0.8 a = 2.00, f(x) = 2.00(1-x), for 0 <= x <= 1 f(y) = 2.00y, 0 <= y <= 1 f(x|y=0.8) = 0.80 for 0 <= x <= 0.8

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For the unadjusted trial amounts, how does the cash amount change?

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Which one of the following principles best illustrates the result of diverting fuel from tractors to tanks for the Germans? Select all that apply. Interdependence Principle Opportunity Cost Principle Marginal Principle Cost-Benefit Principle

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Determine the even and odd components. Plot $ y_{\text {even }}(t) $ and $ y_{\text {odd }}(t) $. Also give the expressions for $ y_{\text {even }}(t) $ and $ y_{\text {odd }}(t) $. Consider the following signal, $ y(t)=6[u(t)-u(t-3)]\left[1-e^{-2 t}\right] $

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Stereotypes about limited language fluency affect many Asians, including those who are native-born U.S. citizens . Group of answer choices False True

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Why do you think Bacillus anthracis is classified as Hazard Group 3? a) It causes human disease, but it's unlikely to spread b) It has no effective prophylaxis or treatment available c) It's unlikely to cause human disease d) It may spread to the community, but treatment is usually available

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9. (a) Let p be an odd prime and let a be an integer with $p \nmid a$. State the Euler's criterion. (b) Suppose that $p \equiv 3 \pmod{4}$ is prime, and that $q = 2p + 1$ is prime. Show that $2^p \equiv 1 \pmod{q}$.

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john p.