Numerade

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9.P. Let $X$ be a set and let $\alpha$ be defined for arbitrary subsets of $X$ to $\mathbb{R}$ and satisfy $$0 \le \alpha(E) \le \alpha(E \cup F) \le \alpha(E) + \alpha(F),$$ when $E$ and $F$ are subsets of $X$. Let $\mathcal{S}$ be the collection of all subsets $E$ of $X$ such that $$\alpha(A) = \alpha(A \cap E) + \alpha(A \setminus E)$$ for all $A \subseteq X$. If $\mathcal{S} \ne \emptyset$, it is an algebra and $\alpha$ is additive on $\mathcal{S}$.

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15. Find the future value of an annuity due of $ \$ 100 $ each quarter for $ 2 \frac{1}{2} $ years at $ 12 \% $ compounded quarterly.

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A record of travel along a straight path is as follows: 1. Start from rest with constant acceleration of 2.60 m/s² for 14.0 s. 2. Maintain a constant velocity for the next 1.40 min. 3. Apply a constant negative acceleration of -9.40 m/s² for 3.87 s. (a) What was the total displacement for the trip? m (b) What were the average speeds for legs 1, 2, and 3 of the trip, as well as for the complete trip? leg 1 m/s leg 2 m/s leg 3 m/s complete trip m/s

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System of Equations: $p = 6 - 2q$ $p = 4 + q$

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Question 1 (40 points): The following figure shows a steel pipe assembly, which supports a concentrated load P = 17 (kN). The outside diameter of the pipe is 142 (mm) and the wall thickness is 6.5 mm. Determine: a) The normal stresses produced at points H and K (20 points). b) If P is applied under angle of $\theta$=30°, how does normal stress at points H and K change? Write all the steps of the solution (20 points).

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QUESTION 13 - 1 POINT Suppose the manager of a shoe store wants to determine the current percentage of customers who are males. How many customers should the manager survey in order to be 99% confident that the estimated (sample) proportion is within 8 percentage points of the true population proportion of customers who are males? $z_{0.10}$ $z_{0.05}$ $z_{0.04}$ $z_{0.025}$ $z_{0.01}$ $z_{0.005}$ 1.282 1.645 1.751 1.960 2.326 2.576 Use the table of values above. Provide your answer below:

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Using the binomial theorem to find the probability of obtaining 5 heads when flipping a coin 10 times. Write as a percentage rounded to 1 decimal place. 3.1% none of these 50.0% 24.5% The probability of getting a hit in baseball is $\frac{2}{5}$. If the batter goes to the plate 11 times, what is the probability of getting 4 hits? Write as a percentage rounded to 1 decimal place. 40.0% 23.6% 21.5% none of these Use the Pythagorean Theorem to find the missing side. The hypotenuse is 13 and one leg is 12. Find the other leg. 5 13.92838828 12

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Problem 5: Find the torsional constant, J, of the thin-walled multi-cell structure shown. Each wall has thickness t.

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What were the main reasons that canada was such an impossible nation in other words Why was it so difficult to forge its various parts into a unified nation?

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Consider time 0, 1, and 2. A dividend is paid at time 1. The ex-dividend date = dividend payment date. For individual shareholders, the personal tax rate on dividend is 40% and that on capital gains is 15%. For institutional shareholders, the personal tax rate on dividend is 2% and that on capital gains is 50%. The after-tax expected return on equity is 20% between time 0 and time 1, and 10% between time 1+ and time 2. The stock price is worth 1000 at time 0. The stock price is expected to be worth 1200 at time 2. *Remark: The notation t+ stands for time t right after cash-flows have been paid. Place yourself at time 0. (2) (3 points) Compute the dividend paid at time 1 when all shareholders are individuals (Di(1) (3) (3 points) Compute the dividend paid at time 1 when all shareholders are institutions (Df (1)).

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amparo b.