Numerade

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14. For a normal distribution with $\mu = 50$ and $\sigma = 5$, the probability that $X$ lies between 45 and 55 is approximately: A) 34% B) 50% C) 68% D) 95%

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Which of these was the first of the major events that stimulated an increase in the size of the human population? the discovery of antibiotics the Industrial Revolution the advent of agriculture the discovery of vaccines the bubonic plague

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Find dxdt , dydt , and dydx . x = 4t3 + 3t, y = 5t − 6t2 dxdt = dydt = dydx =

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why would electing the deferral period death benefit (DPDB) on a PDIA be important to a client when a single life income plan is also selected?

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Crowding out can best be defined as Ogovernment deficits increase interest rates and decrease investment. consumption spending increases interest rates and decreases investment. Orestrictive monetary policy raises interest rates and decreases investment. Oprivate investment increases growth rates and decreases deficits.

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Solve the following equation.\n$\log_3(\log_8 x) = 1$\nThe solution set is {}.\n(Simplify your answer.)

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Comparing a tax on labor income, a tax on capital income, and a tax on land income, who pays more of each tax because the demand for labor is ____ elastic than the supply of labor. A. Employers bear a larger share of the tax on labor income than workers; less B. Workers bear a larger share of the tax on labor income than employers; less C. Employers bear a larger share of the tax on labor income than workers; more D. Workers bear a larger share of the tax on labor income than employers; more because the supply of capital is ____ elastic than the demand for capital. A. Business owners pay more of the tax on capital income than savers and lenders pay; more B. Savers and lenders pay more of the tax on capital income than business owners pay; more C. Business owners pay more of the tax on capital income than savers and lenders pay; less D. Savers and lenders pay more of the tax on capital income than business owners pay; less because the supply of land is ____ elastic than the demand for land. A. Renters pay more of the tax on land income than land owners pay; more B. Land owners pay more of the tax on land income than renters pay; more C. Land owners pay more of the tax on land income than renters pay; less D. Renters pay more of the tax on land income than land owners pay; less

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11. In order to test the straightness of an inverted vee of a guide way in a horizontal plane of machine tool, an autocollimator and a reflector block of 127 mm base length are used. The reflector block is stamped "30sec=0.018mm". Reading of the autocollimator at 10 consecutive positions of a 1.5 m long guide way is recorded as follows: \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline Position & A & B & C & D & E & F & G & H & I & J \\ \hline Reading & 1'30" & 1'36" & 1'40" & 1'48" & 1'52" & 1'54" & 1'58" & 2'0" & 2'4" & 2'8" \\ \hline \end{tabular} i. Determine cumulative linear displacement of each position w.r.t initial point zero. ii. Draw the graphical representation of the straightness of the guide way w.r.t line joining the starting point zero and end point. iii. Can this machine guide way be acceptable? Note: Departures of 0.02mm per meter is considered to be an acceptable tolerance for out of straightness.

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2. Rachel has a 30 ft x 10 ft research plot of soybeans with 1,275 plants emerged. She planted in 15-in rows. How far apart should her soybeans be in the rows if her planter worked perfectly?

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1) Two identical charges ($q_1 = q_2 = q$) are separated by a distance $d = 5$ cm, exert electrostatic forces of magnitude $F_{12} = F_{21} = 9$ N on each other. What is the value of the electric charge $q$? A) $q = 7.07 \times 10^{-6}$ C B) $q = 1.58 \times 10^{-6}$ C C) $q = 1.00 \times 10^{-6}$ C D) $q = 6.15 \times 10^{-6}$ C

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jason e.