The foreman of a bottling plant has observed that the amount of soda in each \16-ounce" bottle is actually a normally distributed random variable, with a mean of 16.1 ounces and a standard deviation of 0.3 ounce. (a) If a customer buys a bottle, what is the probability that the bottle will contain more than 16 ounces? (b) If a customer buys a carton of 4 bottles, what is the probability that the mean amount of the 4 bottles will be greater than 16 ounces? (c) If a customer buys a carton of 9 bottles, what is the probability that the mean amount of the 9 bottles will be greater than 16 ounces? (d) If a customer buys a carton of 16 bottles, what is the probability that the mean amount of the 16 bottles will be greater than 16 ounces?

45.3592

step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is