Best Buy claims that 68% of people that walk into one of their stores end up not purchasing an item. To test this, they randomly sample 30 customers at one of their locations. Is there enough evidence to show that the proportion of people who walk into Best Buy and don't buy anything is different than 68%

Yes.

Step-by-step explanation:

As long as the individual's that have been selected as part of the study were actually selected randomly then yes. If there was no bias or other external factors affecting the probability of getting chosen then these individual's would clearly represent the entire population of Best Buy customers. Therefore, if the data gathered from these individuals results in being 68% of that population that does not buy anything then this would result in a valid claim by Best Buy.

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.

step-by-step explanation: