4. a) Other than the joy it may have been to create your game, one of the most important things is the economic research that goes behind your game. The cost, C(n), to make your game is
modeled by the equation C(n) = 0.156- 0.6n + 3
in millions of dollars, where n is the
number of products produced per hour in thousands Determine the minimum production cost.

9514 1404 393

  about 2.423 million dollars

Step-by-step explanation:

We assume your equation is supposed to be ...

  C(n) = 0.156n² -0.6n +3

This describes a parabola that opens upward. The minimum cost will be found at the vertex of the parabola.

The n-coordinate of the vertex is* ...

  n = -b/(2a) = -(-0.6)/(2(0.156)) = 0.6/0.312 = 25/13 ≈ 1.92308

The C-coordinate of the vertex is ...

  C(25/13) = (0.156×25/13 -0.6)(25/13) +3 = 63/26 ≈ 2.42308

The minimum production const is about 2.423 million dollars.

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* In this equation for the vertex, the 'a' and 'b' refer to the coefficients of a quadratic in standard form: ax² +bx +c.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

cut 138 centimeters off

step-by-step explanation:

250-112 = 138