Suppose company a produces packages of throat lozenges that are normally distributed with a mean of 38.2 individual lozenges and a standard deviation of 1.7 lozenges. company b produces packages of throat lozenges that are normally distributed with a mean of 36.9 individual lozenges and a standard deviation of 2.2 lozenges. which company would be more likely to produce a package of 43 throat lozenges? company a is more likely; its z-score of -2.82 is closer to the mean than company b's z-score of -2.77.company b is more likely; its z-score of -2.77 is closer to the mean than company a's z-score of -2.82.company a is more likely; its z-score of 2.82 is closer to the mean than company b's z-score of 2.77.company b is more likely; its z-score of 2.77 is closer to the mean than company a's z-score of 2.82.

The correct option is:

Company B is more likely; its z-score of 2.77 is closer to the mean than Company A's z-score of 2.82.

Explanation:

The company's whose z score would be closer to 0 would be more likely to produce the package of 43 throat lozenges

The z score for the company A is:

While the z score for the company B is:

Since the z score of company B is closer to 0 than the company A, therefore the company is more likely

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

move it to the other side

step-by-step explanation: