A local shop prints photos. The function f(x) = −x2 + 20x − 75 models the profit from one customer, where x is the number of photos printed.

Determine the zeros, and explain what these values mean in the context of the problem.

x = 5, x = 15; The zeros represent the number of photos printed where no profit is made.
x = 5, x = 15; The zeros represent the number of photos printed to produce a maximum profit.
x = 10, x = 25; The zeros represent the number of photos printed where no profit is made.
x = 10, x = 25; The zeros represent the number of photos printed to produce a maximum profit.

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec