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michael ugarte

michael u.

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5. The table shows the ages of students in a freshman orientation course. \begin{tabular}{|l|c|c|c|c|c|c|} \hline Age & 17 & 18 & 19 & 20 & 21 & 22 \\ \hline Students & 2 & 13 & 4 & 3 & 2 & 1 \\ \hline \end{tabular} (a) Construct a probability distribution. (b) Graph the probability distribution using a histogram and describe its shape. (c) Find the mean, variance, and standard deviation of the probability distribution and interpret the results. (d) Find the probability that a randomly selected student is less than 20 years old.

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Bar OA has the angular motions of 3.5 rad/s, and 6.6 rad/s$^2$ is shown. If angular velocity of Bar AB is 1.79 rad/s, a = 0.67 m, b = 2.0 m, and $\theta$ = 15°. Determine the magnitude of the angular acceleration of the bar AB at this instant in rad/s$^2$.

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1000 mg of cefazolin IV in 150 mL of 0.9 %NSS is to be administered IV piggyback over 45 minutes. What rate will the nurse set the pump?

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Texts: Using your student ID's last four digits "5678", apply the RSA algorithm to generate a public and private key pair. Ensure that the values of p and q satisfy the requirements of the RSA algorithm. What are the values of p and q that you have chosen? What is the public key and private key generated? Encrypt the message "HELLOWORD" using the public key and decrypt it using the private key. Also, verify your results using any online tool available for the RSA algorithm and provide the output as proof.

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Text: Watch help video to find the common ratio of the geometric sequence -15, -120, -960, ... Text: Find the common ratio of the geometric sequence -15, -120, -960, ... Text: Watch help video to find the common ratio of the geometric sequence -15, -120, -960, ... Text: Find the common ratio of the geometric sequence -15, -120, -960, ...

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A newborn child receives a $7,160 gift toward a college education from her grandparents. How much will the $7,160 be worth in 17 years if it is invested at 5.4% compounded quarterly? If $830 is invested at 9% compounded quarterly what is the amount after 8 years? How long will it take money to double if it is invested at 5.8% compounded monthly? (give answers in years rounded to 1 decimal place) How long will it take $4,192 to grow to $23,741 if it is invested at 4.8% compounded monthly? (give answer in years to 1 decimal place) If the population of a particular country is growing at 2.5% compounded continuously, how long will it take the population to triple? (give answer in years rounded to 1 decimal place)

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Using Laplace Transform, solve the following differential equation: \frac{d^2y}{dt^2} + 2\frac{dy}{dt} + 5y = 0 Given the initial conditions: y(0) = 0 and y'(0) = 1

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Suppose iid $X_1, \dots, X_n \sim p(x \mid \lambda) = \lambda^x \exp(-\lambda)/x!, x \in \mathbb{Z}^+ \cup \{0\}$, unknown $\lambda > 0$. Let $S^2 = (n-1)^{-1} \sum_{i=1}^n (X_i - \bar{X})^2$. a. Figure out the expectation of $S^2$.

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2. Magnetostatics: Magnetic Vector Potential (a) Do magnetic forces do work? Explain your answer. (b) Find the magnetic vector potential of an infinite solenoid with $n$ turns per unit length, radius $R$, and current $I$. Check to see that $\vec{B} = \nabla \times \vec{A}$ and $\nabla \cdot \vec{A} = 0$.

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1 in = 30 in/s $V_C = ?$, $V_B = ?$, $V_E = ?$, $V_F = ?$ POLYGON METHOD

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