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teresa phelps

teresa p.

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A certain disease afflicts 1 % of the population. The test for this disease will give a true positive 96 % of the time. The test will give a false positive 1 % of the time if it is given to a person that does not have the disease. Disease = D, No disease (well) = W, Test positive = +, Test negative = - Find the probability that a person has the disease given the test was positive, P( D | + ) Find the probability that a person does not have the disease given the test was negative, P( W | - )

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What is the maximum volume of an open top box that is constructed by cutting out squares from each corner of an 8cm by 12cm sheet of plastic and then folding up the slides

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The two kinds of friction are and , the stronger force of friction is . Submit Question

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Collecting data without a specific hypothesis in mind is called hypothesis testing. theoretical. reductionism. discovery-based science. All of the choices are correct.

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R Vrms Irms L Recall: for a RL Circuit, Vrms = Irms Z with Irms = \frac{I_{max}}{\sqrt{2}} and Z = \sqrt{R^2 + X_L^2} and X_L = \omega L = 2\pi fL Given: f = 60 Hz Vrms = 20 V I_{max} = 0.30 A L = 100 mH = 0.10 H Find: R, the resistance of the resistor \rightarrow Vrms = \frac{I_{max}}{\sqrt{2}}\sqrt{R^2 + 2\pi f^2L^2} \rightarrow Vrms^2 = \frac{I_{max}^2}{2}[R^2 + 2\pi^2f^2L^2] \rightarrow R^2 + 2\pi^2f^2L^2 = 2\left(\frac{Vrms}{I_{max}}\right)^2 \rightarrow R^2 = 2\left(\frac{Vrms}{I_{max}}\right)^2 - 2\pi^2f^2L^2 \rightarrow R = \left\{2\left(\frac{Vrms}{I_{max}}\right)^2 - 2\pi^2f^2L^2\right\}^{\frac{1}{2}} R = 94 \Omega

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(c) By using a two step binomial model and the replicating portfolio \( \Pi=\Delta S-N B \), where \( \Delta \) is the number of shares, and \( N \) is the number of bonds \( B \), show that the value of an European call option is \[ f_{0}=e^{-r T}\left[p^{2} f_{u u}+2(1-p) p f_{u d}+(1-p)^{2} f_{d d}\right] \] where \( p=\frac{e^{r T}-d}{u-d} \), is upstate risk neutral probability measure, \( r \) is the risk-free interest rate with continuous compounding, \( T \) is the maturity time, \( f_{u} \) is the payoff from the option if the stock price moves up, \( f_{d} \) is the payoff from the option if the stock price moves down. (c) State three properties of conditional expectation and prove one of the properties. [15]

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A hospital provides emergency-room medical care for local residents. Suppose the hospital currently provides this care for 15,000 patients per year at a total cost of \$30,000,000. If the hospital expands, it can provide emergency-room medical care for 20,000 patients per year at a total cost of \$50,000,000. If the hospital expands, will it be experiencing economies of scale, diseconomies of scale, or constant returns to scale? If the hospital expands, it will be experiencing

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Solve the following problems showing all steps using DIMENSIONAL ANALYSIS. Make sure that the units cancel and include labels. How many cups are in 11.5 gallons of fruit punch? There are 2 pints in a quart, 4 quarts in a gallon, and 2 cups in a pint.

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2. Create the prime implicant chart using the given cost criteria and simplify it. Explain the steps of the simplification. Write the expression of the function with the least cost and give the total cost. Cost criteria: 2 units for each variable and 1 unit for each complement.

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(1 point) Let $v_1, v_2, v_3$ be the vectors in $\mathbb{R}^3$ defined by $v_1 = \begin{bmatrix} -11 \ -6 \ -7 \end{bmatrix}$, $v_2 = \begin{bmatrix} -5 \ 20 \ 5 \end{bmatrix}$, $v_3 = \begin{bmatrix} 10 \ 10 \ 8 \end{bmatrix}$ (a) Is \{$v_1, v_2, v_3$\} linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non-trivial (not all zero coefficients) linear combination of $v_1, v_2$, and $v_3$ $0 = \underline{\qquad}v_1 + \underline{\qquad}v_2 + \underline{\qquad}v_3$ (b) Is \{$v_1, v_2$\} linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non-trivial (not all zero coefficients) linear combination of $v_1$ and $v_2$. $0 = \underline{\qquad}v_1 + \underline{\qquad}v_2$ (c) Type the dimension of span\{$v_1, v_2, v_3$\}: \underline{\qquad}

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