A TV remote control has keys for channels 0 through 9. ​a) If a key is selected at​ random, what is the probability that the key for channel 3 is​ pressed?
​b) If a key is selected at​ random, what is the probability that the key for an even number is​ pressed?
​c) If a key is selected at​ random, what is the probability that the key for a number more than 6 is​ pressed?

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a and c

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

the given 6 = w/p is equivalent to 6p = w, where w is the total area of the walls and p is the area covered by a single can of paint.

knowing that 6 cans of paint will be needed, 6p = w becomes 6(6) = w = 36.   this tells us that the total area to be painted is 36 square units.