Smoking habits: a group of statistics students conducted a survey about smoking habits on campus to determine the proportion of students who believe that smoking hookah (a water pipe) is less harmful than smoking cigarettes. of the 50 students surveyed, 45 think that smoking hookah is less harmful than smoking cigarettes.

which of the following is a reason that this group of students should not calculate a confidence interval for the proportion of all students who believe that smoking hookah is less harmful than smoking cigarettes? check all that apply.

a. the sample needs to be random but we don’t know if it is.

b. the actual count of students who believe that smoking hookah is less harmful than smoking cigarettes is too small.

c. the actual count of students who do not believe that smoking hookah is less harmful than smoking cigarettes is too small.

n(p-hat) is not greater than 10.

d. n(1 minus p-hat) is not greater than 10

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

a - base

b - exponent

so,