Sodas in a can are supposed to contain an average of 12 ounces. this particular brand has a standard deviation of 0.1 ounces, with an average of 12.1 ounces. if the can's contents follow a normal distribution, what is the probability that the mean contents of a six pack are less than 12 ounces?

The probability that the mean contents of a six pack are less than 12 ounces is 15.87%.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.

In this problem, we have that:

This probability is the pvalue of the zscore of

Z = 1 has a pvalue of .1587.

This means that the probability that the mean contents of a six pack are less than 12 ounces is 15.87%.

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.