When crossing the golden gate bridge, traveling into san francisco, all drivers must pay a toll. suppose the amount of time (in minutes) drivers wait in line to pay the toll follows an exponential distribution with a probability density function of f(x) = 0.44e? .44x. what is the mean waiting time that drivers face when entering san francisco via the golden gate bridge? (round your answer to 2 decimal places.)what is the probability that a driver spends more than the average time to pay the toll? (round your answer to 4 decimal places.)what is the probability that a driver spends more than 13 minutes to pay the toll? (round your answer to 4 decimal places.)what is the probability that a driver spends between 5 and 9 minutes to pay the toll? (round your answer to 4 decimal places.)

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step-by-step explanation:

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step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

the answer will be b x² +x-1

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.