Numerade

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Indicate whether each species is a reactant, product or spectator. Dilute sulfuric acid is added to zinc to form hydrogen gas.

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4. Given X ~P(6), use the normal approximation to Poisson distribution to find a. P(X = 17). b. P(X ? 10). c. P(X > 20)

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Identify which of the following are true or false. Investments that are held for the purpose of earning interest are called strategic investments. Non-strategic investments can be classified as either short-term or long-term. Both debt and equity securities can be purchased for the strategic purpose of influencing relationships between companies. It is best to invest excess short-term cash in equity securities as share prices fluctuate significantly over the short term. Both debt and equity securities can be purchased as a non-strategic investment.

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Buffer Solutions 13. Calculate [OH-] in a solution that is a. 0.0062 M Ba(OH)2 and 0.0105 M BaCl2 b. 0.315 M NH4)2SO4 and 0.486 M NH3 c. 0.196 M NaOH and 0.264 M NH4Cl

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Contingency Table Type of Heating By Delinquent in Payment? Count Yes No Totals Electricity 20 130 150 Heating Oil 15 20 35 Natural Gas 50 240 290 Propane 12 39 51 Totals 97 429 526 Use the JMP output below to report the correct p-value degrees of freedom and the ? Report the numbers as listed in the output. Mosaic Plot 1.00- Delinquent in Payment? 0.75- 0.50- 0.25- 0.00 Electricity Heating Oil Natural Gas Type of Heating Propane Tests No N DF -LogLike RSquare (U) 526 3 7.4972020 0.0298 Test ChiSquare Prob>ChiSq Yes Likelihood Ratio 14.994 0.0018* Pearson 17.630 0.0005*

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On December 31, 2022, Sunland Corp. leased a machine from Eastern Star Ltd. for a five-year period. Annual lease payments are $318000 (including $14000 annual executory costs), due on December 31 each year. The first payment was made on December 31, 2022, and the second payment on December 31, 2023. The appropriate interest rate for this type of lease is 10%. The present value of the minimum lease payments at the inception of the lease (before the first payment) was $1267680. The lease is being accounted for as a finance lease by Sunland. On its December 31, 2023 statement of financial position, Sunland should report a lease liability of $207632. $756048. $963680. $96368.

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Calculate the surface integral \iint_M (\nabla \times \mathbf{F}) \cdot d\mathbf{S} where $M$ is the hemisphere $x^2 + y^2 + z^2 = 4$, $x \ge 0$, with the normal in the direction of the positive x direction, and $\mathbf{F} = (x^6, 0, y^2)$.\newline Begin by writing down the \"standard\" parametrization of $\partial M$ as a function of the angle $\theta$ (denoted by \"t\" in your answer)\newline $x = 2\cos t \sin t$, $y = 2\sin t \sin t$, $z = 2\cos t$.\newline $\int_{\partial M} \mathbf{F} \cdot d\mathbf{s} = \int_0^{2\pi} f(\theta) \, d\theta$, where\newline $f(\theta) = \cos^7 t$ (use \"t\" for theta).\newline The value of the integral is $\frac{6552\pi}{315}$

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d) How many solutions are there to the equation x_(1)+x_(2)+cdots+x_(7)=102 where x_(i)inN and x_(i)<=44 for all i ? For this problem we cannot make a simple substitution for each x_(i) like in the previous parts. Instead, we can apply the complement and inclusion-exclusion laws. The complement of " x_(i)<=44 for all i^(**) is " x_(i)>44 for some i^(a), or equivalently " x_(i)>=45 for some i^(). Let V be the set of all solutions to the equation without any further restrictions, and for each i let S_(i) be the set of solutions where x_(i)>=45. Then we are seeking the value of |V|-|S_(1)cup S_(2)cup cdotscup S_(7)|. Step 0 What is the size of S_(1) ? That is, how many solutions exist with the restriction that x_(1)>=45 ? ^(63)C_(6) Your answer is numerically correct. You were awarded 0.25 marks. You scored 0.25 marks for this part. Score: (0.25)/(0.25) Answered Step 1 What is the size of S_(1)cap S_(2) ? That is, how many solutions exist with the restrictions that both x_(1)>=45 and x_(2)>=45 ? ^(18)C_(6) Your answer is numerically correct. You were awarded 0.25 marks. You scored 0.25 marks for this part. Score: (0.25)/(0.25) Answered Step 2 It is clear that the intersection of more than two distinct sets S_(i) must be empty, since if more than two x_(i) terms are greater than 44 , the sum x_(1)+x_(2)+cdots+x_(7)>=3 imes 45>102. So by the inclusion-exclusion principle, the answer we seek is |V|-|S_(1)cup S_(2)cup cdotscup S_(7)|=|V|-(|S_(1)|+|S_(2)|+cdots+|S_(7)|)+(|S_(1)cap S_(2)|+|S_(1)cap S_(3)|+cdots+|S_(6)cap S_(7)|) =|V|-7|S_(1)|+m|S_(1)cap S_(7)|. where m is... Your answer is numerically correct. You were awarded 0.25 marks. You scored 0.25 marks for this part. Score: (0.25)/(0.25) (Your score will not be affected.) d) How many solutions are there to the equation 1 + x2 + + x7 = 102 where xi N and xi 44 for all i? For this problem we cannot make a simple substitution for each x; like in the previous parts. Instead, we can apply the complement and inclusion-exclusion laws. Let / be the set of all solutions to the equation without any further restrictions, and for each i let S; be the set of solutions where xi 45. Then we are seeking the value of |/| [S U S U -. Uy] Step 0 What is the size of S? That is, how many solutions exist with the restriction that x 45? comb63,663C6 Submit part Your answer is numerically correct. You were awarded 0.25 marks. You scored 0.25 marks for this part. Score: 0.25/0.25 Answered Step1 What is the size of S S,? That is, how many solutions exist with the restrictions that both 45 and x2 45? comb18,6C6 Submit part Your answer is numerically correct. You were awarded 0.25 marks. You scored 0.25 marks for this part. Score:0.25/0.25 Answered Step 2 It is clear that the intersection of more than two distinct sets S; must be empty, since if more than two x terms are greater than 44, the I <+ x + +x + Ix ns So by the inclusion-exclusion principle, the answer we seek is |/| |SUS U . US| = |/| (|S| + |S| + -. + |S|) + |S nS2| + |SnS3| +... + |S6nS|) =|V-7|Su+m|SSl where I is... 2121 Submit part Your answer is numerically correct. You were awarded 0.25 marks. You scored 0.25 marks for this part. Score: 0.25/0.25 Answered Hide steps (Your score will not be affected.) Answer:comb(108,6)-7comb(63,6) 1086763C6

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QUESTION 3: Determine the force in each member of the truss, and state if the members are in tension or compression. Set $\theta = 45.$

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1. Monomial least-squares (15 pts) Code. In code, determine the least-squares estimation of a monomial of degree $d$ using the $n$ data $[x_k, y_k]$ provided by the function $y = \sin x \cdot e^{-x^2}$ and computed with constant step in $x$ from $-1$ and $+1$. Plot and print out the points and fitting function for the following $(n, d)$ pairs: $(5,3)$, $(10,3)$, $(10,5)$. (This means you need to run your code with $n = 5$ and $d = 3$ and plot it, then run it again for $n = 10$ and $d = 3$ and plot that, etc.). Provide the results in the hard copy. 2. Harmonic least-squares (15 pts) Code. In code, using the same data $[x_k, y_k]$ created in Problem #1, continue the script code to perform a least-squares estimation using the harmonic function $y = a_0 + a_1 x + A \sin(2x + \varphi)$. That is: compute the unknown variables $[a_0, a_1, A, \varphi]$. Please plot and print out the points and fitting function for $n = 10$ and $n = 15$. Also report the values of the variables $[a_0, a_1, A, \varphi]$. Provide the results in the hard copy.

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patricia g.