Abottling company uses a filling machine to fill plastic bottles with popular cola. the contents are known to vary according to a normal distribution with mean μ = 300 ml and standard deviation σ = 10 ml. what is the probability that the mean contents of the bottles in a six pack is less than 295 ml?

0.3085

Step-by-step explanation:

Given: Mean :

Standard deviation :

The formula to calculate the value of z-score :-

For X = 295 ml, we have

The p-value of z =

Hence, the probability that the mean contents of the bottles in a six pack is less than 295 ml =0.3085

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5