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Some proteins are joined to other proteins to become functional while others are splice to smaller units – give an example of a protein that requires each of the steps

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(a) What si the equation describing the motion of a mass on the end of a spring which is stretched 7.8 cm from equilibrium and then released from rest, and whose period si 0.66 s? (b) What wil be its displacement after 1.8s?

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Question content area top Part 1 A bond has fivefive years to maturity, a $ 2 comma 000$2,000 face value, and a 6.36.3% coupon rate with annual coupons. What is its yield to maturity if it is currently trading at $ 1 comma 769.77$1,769.77? Question content area bottom Part 1 A. 7.427.42% B. 9.289.28% C. 12.9912.99% D. 11.1411.14%

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Question 1 (25 marks) Let $X_1, X_2, \dots, X_n$ be a random sample from a Normal distribution with unknown mean $\mu$ and variance $\sigma^2$. The probability density function of $X_i$ is: $f(x_i; \mu, \sigma^2) = \frac{1}{\sigma \sqrt{2\pi}} \exp\left[ -\frac{(x_i - \mu)^2}{2\sigma^2} \right]$ for $-\infty < x < \infty$. The parameter space is $\Omega = \{(\mu, \sigma): -\infty < \mu < \infty \text{ and } 0 < \sigma < \infty\}$. Recall that if $X_i$ is a Normally distributed random variable with $\mu$ and variance $\sigma^2$, then $E(X_i) = \mu$ and $Var(X_i) = \sigma^2$. a. Show that $\hat{\mu} = \frac{\sum_{i=1}^n X_i}{n} = \bar{X}$ and $\hat{\sigma}^2 = \frac{\sum_{i=1}^n (X_i - \bar{X})^2}{n}$ are the Maximum Likelihood Estimators for $\mu$ and $\sigma^2$ respectively. [8 marks] b. Show that $\hat{\mu}$ is an unbiased estimator for $\mu$. [2 marks] c. Use the following results $E(\hat{\sigma}^2) = E\left[\frac{1}{n} \sum_{i=1}^n X_i^2 - \bar{X}^2\right] = \left[\frac{1}{n} \sum_{i=1}^n E(X_i^2)\right] - E(\bar{X}^2)$ and $E(X^2) = \frac{\sigma^2}{n} + \mu^2$ to show that $\hat{\sigma}^2$ is a biased estimator for $\sigma^2$. [9 marks] e. Show that $\hat{\sigma}^2$ is a consistent estimator for $\sigma^2$. [2 marks]

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Use the rules of logarithm to express the following as a single logarithm 2 In x + 8 In y - 3 In z ? $\ln \frac{2x + 8y}{3z}$ ? $\ln \frac{x^2 y^8}{z^3}$ ? $\frac{2x + 8y}{3z}$ ? $\frac{x^2 y^8}{z^3}$

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Question list Question 8 Question 9 Question 10 Question 11 Question 12 Question 13 Question 14 Evaluate the integral. $\int \frac{t^3 \ln(t^4+5)}{t^4+5} dt$ A. $\frac{[\ln(t^4+5)]^2}{8} + C$ B. $\frac{(\ln t)^2}{8} + C$ C. $[\ln(t^4+5)]^2 + C$ D. $\frac{t^4 \ln(t^4+5)}{t^4+5} + C$

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Matlab Programming • Create a M-file that calculates the area under the curve y= $x^2 + \sin(x)$ • You should first define the variables to set starting x, final x, and the width of the rectangles to add up.

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4. List the three stages of annealing. For each, indicate what is happens to the microstructure of the material and the effect of this on the properties (assuming that the materials has previously been strain hardened). (bulleted statements are encouraged) 5. Four-high and cluster mill arrangements allow for the contact roll to have a much smaller radius than would otherwise be possible. What is the effect of this on: rolling force, torque, power, and maximum draft. Support your answers with equations.

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Waterway Inc. has two types of handbags: standard and custom. The controller has decided to use a plantwide overhead rate based on direct labor costs. The president has heard of activity-based costing and wants to see how the results would differ if this system were used. Two activity cost pools were developed: machining and machine setup. Presented below is information related to the company's operations. Standard Custom Direct labor costs $50,000 $100,000 Machine hours 1,200 1,500 Setup hours 90 420 Total estimated overhead costs are $301,200. Overhead cost allocated to the machining activity cost pool is $189,000, and $112,200 is allocated to the machine setup activity cost pool. Compute the overhead rate using the traditional (plantwide) approach. (Round answer to 2 decimal places, e.g. 12.25.) Predetermined overhead rate ___________% of direct labor cost

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McGregor notes that the media plays an important role in disseminating weather watches and warnings to the public (34). Quarantelli extends that argument, contending that warning dissemination is the most obvious role of the media in disasters (Scanlon, 77). However, neither goes into much detail on this role of the media. First, explain the difference between a watch and a warning. Then include what should be included in a warning message to make it most effective. Finally, what other tools might an emergency manager have for disseminating warnings, and which do you believe would be the best tool?

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