Which of the following statements is true about normal distributions? the tails on the normal distribution stop at three standard deviations the tails on the normal distribution cross the x-axis after one standard deviation the tails on a normal distribution go on forever and never touch the x-axis the tails on the normal distribution cross the x-axis after three standard deviations

The tails on a normal distribution go on forever and never touch the x-axis

Step-by-step explanation:

The normal distribution is also known as Gaussian distribution or bell shaped curve. The normal distribution is divided into two equal parts by the mean hence it is symmetrical at the mean. For a normal distribution, the height of the curve is determined by the mean while the width is determined by the standard deviation.

The two tails at both ends of the normal curve goes on and never touches the horizontal axis.

16,667

Step-by-step explanation:

The company will "break even" when revenue is equal to cost.

R(x) = C(x)

3.2x = 2.6x + 10000 . . . . substitute the given expressions for R(x) and C(x)

0.6x = 10000 . . . . . . . . . . subtract 2.6x

x = 16,666 2/3 . . . . . . . . . divide by 0.6

The company must sell 16,667 lanterns to break even.