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charles f.

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Question 4 A typical vital capacity for an adult male is around: O A. 1200 ml. O B. 6600 ml. O C. 4700 ml. O D. 3100 ml.

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A high school baseball player has a 0.322 batting average. In one game, he gets 8 at bats. What is the probability he will get at least 3 hits in the game? Submit Question

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2. What equation relates **only** the radius and the height of the water? (Enter a full equality into the box, not just the left- or right-hand side.)

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Suppose O'ReillyO'Reilly Corp.'s breakeven point is revenues of $ 1600000$1,600,000. Fixed costs are $ 720000$720,000. Requirements 1. Compute the contribution margin percentage. 2. Compute the selling price if variable costs are $1111 per unit. 3. Suppose 95 comma 00095,000 units are sold. Compute the margin of safety in units and dollars. 4. What does this tell you about the risk of O'ReillyO'Reilly making a loss? What are the most likely reasons for this risk to increase? Question content area bottom Part 1 Requirement 1. Compute the contribution margin percentage. Determine the formula for the contribution margin percentage. Contribution margin percentage = ÷ Part 2 (Enter percentage as a whole number.) The contribution margin percentage is %. Part 3 Requirement 2. Compute the selling price if variable costs are $1111 per unit. Determine the formula used to calculate the selling price. Selling price = ÷ ( - ) Part 4 The selling price is . Part 5 Requirement 3. Suppose 95 comma 00095,000 units are sold. Compute the margin of safety in units and dollars. Determine the formula to calculate the margin of safety in dollars. - = Margin of safety in dollars Part 6 The margin of safety is units and . Part 7 Requirement 4. What does this tell you about the risk of O'ReillyO'Reilly making a loss? What are the most likely reasons for this risk to increase? The risk of making a loss is ▼ high low . The most likely reasons for this risk to increase is ▼ less competition, a strong economy, or change in management greater competition, weakness in the economy, or bad management .

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(20 points) A mixture is prepared by placing 3.15 pounds of n-pentane, 3.29 pounds of n-hexane and 3.01 pounds of n-heptane into a container. (a) Determine the mass fractions in the mixture for each chemical. (b) Determine the average molar mass (molecular weight) of the mixture. (c) Determine the volume, in gallons, of the liquid mixture. State one assumption you made to calculate the volume.

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one attachments. Circle those isoprene linkages that follow the "head-to-tail" rule. Hint: Look in your b) d) (+)-limonene 14 Vitamin A \( / 4 \) (oranges) (fish oil) The following reactions can be found in the chemical literature. Although the reaction conditions may be fferent, each follows the rules learned in this chapter about regioselectivity and stereoselectivity for dition reactions to the double bond of an alkene. Provide a description of the following addition reactions terms of regio and stereochemical outcomes. (Building models of starting materials and products may lp you on this problem!) 4 pts Regio \[ \begin{array}{l} 1= \\ N_{3}= \end{array} \] 13 \( \qquad \) \( / 3 \) Stereo \( \qquad \) Regio \[ \begin{array}{l} \mathrm{Br}= \\ \mathrm{RO}= \end{array} \] 13 \( \qquad \) \( / 3 \) Stereo \( \qquad \) 124

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i) Evaluate the ratio ((1)/(/)bar (v^(2)))/(/)bar ((1)/(v^(2))) for a gas of molecules obeying Maxwell- Boltzmann statistics; v is the molecular speed. Hint: I=int_(-infty )^(infty ) e^(-ax^(2))dx=sqrt((pi )/(a)). ii) Show that if every state energy epsi _(s) in the partition function of a system is shifted by by a constant, say, epsi _(0), the mean value of the energy E is shifted by epsi _(0), but that its entropy remains unchanged. iii) State a precise criterion for the validity of the classical approximation. iv) The spectrum of a harmonic oscillator, in thermal contact with a heat reservoir, is given by E_(n)=(n+(1)/(2))ℏomega . Determine eta ℏomega so that the ratio of the probability the oscillator is in the E_(n+1) state over that in the E_(n) state is equal to (1)/(2). i) Evaluate the ratio (1/ v2) / 1/v2 for a gas of molecules obeying Maxwell- Boltzmann statistics; v is the molecular speed. Hint: I = D/2^=xp ii) Show that if every state energy ss in the partition function of a system is shifted by by a constant, say, &o, the mean value of the energy E is shifted by so, but that its entropy remains unchanged. iii) State a precise criterion for the validity of the classical approximation. iv) The spectrum of a harmonic oscillator, in thermal contact with a heat reservoir, is given by E, =(n+1/2)hw. Determine Bhw so that the ratio of the probability the oscillator is in the E,+ state over that in the E, state is equal to /.

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Consider the equation below. f(x) = x\textsuperscript{4} - 8x\textsuperscript{2} + 9 (a) Find the interval on which \(f\) is increasing. (Enter your answer in interval notation.) Find the interval on which \(f\) is decreasing. (Enter your answer in interval notation.) (b) Find the local minimum and maximum values of \(f\). local minimum local maximum (c) Find the inflection points. (x, y) = ( (x, y) = ( (smaller x-value) (larger x-value) Find the interval on which \(f\) is concave up. (Enter your answer in interval notation.) Find the interval on which \(f\) is concave down. (Enter your answer in interval notation.)

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Question 1 (a) Let x = (X?,..., Xd)? be a second-order ?? random vector with mean E(x) = ?. Give the definition of the covariance matrix ? = var(x). Explain why ? is a symmetric and positive- semidefinite matrix. [5] (b) Consider a ?? random vector x with mean ? and variance ?. Let B = (b?| ... |b?) ? ???? be a matrix where the d vectors {b?,..., b?} define an orthonormal basis of ??; recall that this implies BB? = B?B = I? (the d x d identity matrix). Denote by ?(x) the total variance of x, defined as ?(x) = E((x - ?)(x - ?)?). (i) Show that ?(x) = trace(?). (ii) Show that ?(x) = ????? var(b??x). [3] [4] (iii) Provide an orthonormal basis {b?,..., b?} leading to var(b??x) = ??, for all i ? {1,..., d}, where ?? is the i-th eigenvalue of ?. [2] (iv) Provide an orthonormal basis {b?,..., b?} leading to var(b??x) = [?]??, for all i ? {1,..., d}, where [?]?? is the i-th diagonal entry of ?. [2] (c) Give the definition of a Gaussian ?? random vector. [3] (d) Consider a Gaussian ?? random vector x such that E(x) = ? and var(x) = ?, with ? invert- ible. For ? ? [0, 1], define the ellipsoid E? such that P(x ? E?) = ? and explain how E? can be obtained by applying an affine transformation to a specific ball of ??. [6]

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a A half-wave rectifier with a filter capacitor has a 120 V rms,60 Hz ac source, and the power delivered to the load is 40 W. Assuming the diode to be ideal and the RC time constant is large compared to the period of the sine wave, i) sketch the output voltage, vo(t), ii) derive a formula for the average output voltage, Vo, and find its value, iii) determine the value of the filter capacitor, C, needed to keep the peak-to-peak ripple across the load to less than 0.5 V, iv) sketch the diode current. [Note: The peak-to-peak ripple is approximately given by Vo ~ Vm/(fRC).] KH ip V=Vsin( b) Next suppose we want a variable output voltage, Vo, which is achieved by replacing the diode with a SCR whose firing angle, , will be controlled. Assuming load resistance, R = 60 , i) sketch v.t), ii) derive a formula for Vo, as a function of the SCR firing angle, ot = , iii) determine the value of a needed to deliver 40 W to the load.

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