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The distribution of a test's scores for college-bound male seniors has a mean of 520 and a standard deviation of 128. The distribution of a test's scores for college-bound female seniors has a mean of 507 and a standard deviation of 108. One male and one female are randomly selected. Assume their scores are independent. Find the mean and standard deviation of the sum of their scores. What is the mean of the sum of their scores? enter your response here (Type an integer or a decimal. Do not round.)

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If f(x)f(x) has a critical value at x=cx=c and if f′′(c)=0f″(c)=0, then f(x)f(x) has a local minimum at x=c.x=c. Question 1Answer True False

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(c) NO$^-$, NO, 2.5 band 2. Although the peroxide ion, O$_2^{2-}$, and the acetylide ion, C$_2^{2-}$, have long been known, the diazenide ion N$_2^{2-}$ has only been prepared much more recently. By comparison with the other diatomic species, predict the bond order, bond distance, and number of unpaired electrons for N$_2^{2-}$. (15 pts) Int Ed 2001 40.547.)

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EMERGENCY ROOM NOTE (Physician) 10-year-old presented to the ER with 24-hour history of severe headache, including intermittent nausea and vomiting. Exam was unremarkable as well as CT of the head. Patient will be admitted, seen by pediatric n Please choose from the following list the most appropriate ICD-10-CM diagnosis(es). (Select only one.) a. G43.909 b. G44.009 c. R51.0 d. R56.9 e. G40.909 f. R51.9

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Find f^(')(x) and simplify. f(x)=(x)/(x+43) Which of the following shows the correct application of the quotient rule? A. ((x+43)(1)-(x)(1))/([x+43]^(2)) B. ((x)(1)-(x+43)(1))/([x+43]^(2)) c. ((x+43)(1)-(x)(1))/([x]^(2)) D. ((x)(1)-(x+43)(1))/([x]^(2)) f^(')(x)= Find f(xand simplify X fx +43 Which of the following shows the correct application of the quotient rule? x+431-x1 DA. [x+43]2 x1x431 OB [432 x431x1 [x12 1x+431 OD [x)2 fx=

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Q1. A block C slides along the horizontal rod, while a pendulum, of length l, attached to the block can swing in the vertical plane. Find the expression of the acceleration $\ddot{a}_D$ of the pendulum mass D.

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Ask the user to input an integer in the range from 10 to 500. (Look up and use the input command.) If the input number is not an integer or is outside the limits, keep asking for a new number. Store the number in a variable N.

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John is considering buying a new industrial snowblower for his pay-parking facility. He has a choice between two models: Nordic(72in) and TMG(84in). John's MARR is set at 7%. The salvage value of both models at the end of the service life is zero. Detailed cost information is presented in the following table. Nordic TMG First Cost $3,700 $4,500 Life 8 years 10 years Annual Gas Expense $200 $350 Annual Maintenance Cost $150 $120 Calculate the Present Worth for both models based on the Least Common Multiple (LCM) of the service lives. (Hint: for this problem, LCM=40 years) Based on the Present Worth (40 years) for both models, which model should be selected?

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The loss coefficient ($K_L$) of a sudden expanding pipe (stepped pipe, reservoir, etc.) is affected by the change in area as follows: $K_L = \left(1 - \frac{A_{small}}{A_{large}}\right)^2$ It is known that a pipe with diameter 5 cm is connected by a cube acted as reservoir. Determine the cross-section area so that the reservoir will have $K_L$ of close to 1. Draw the graph to correlate between the side length of the cube and the $K_L$ of the connection. Discuss the finding. Hints: 1. Draw the connecting system between pipe and reservoir. 2. Determine the area of pipe and area of reservoir as the function of s. 3. Calculate the loss coefficient starting with s = 0. 4. Increase the value of s step-by-step, draw in a graph. 5. Determine at which point the loss coefficient is close to 1. 6. Discuss the finding.

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According to table from the hint, molar heat capacities of monatomic gases (He, Ar) are significantly smaller than those of diatomic gases (N2, O2, H2). Explain in molecular terms why more heat must be supplied to raise the temperature of 1 mole of diatomic gas by 1 K than to raise the temperature of 1 mole of monatomic gas by 1 K. The energy that is added to a gaseous substance goes entirely into energy of the atoms. The energy that is added to a gaseous substance is distributed among the vibrational, and rotational energies of the molecules. Thus, a given amount of added energy the total energy (and the temperature) of a diatomic substance by a smaller amount, and so the heat capacities of diatomic gases are larger than those of monatomic substances.

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evelyn f.