The central limit theorem is important in statistics because

a) for a large n, it says the population is approximately normal.
b) for any population, it says the sampling distribution of the sample mean is approximately normal, regardless of the sample size
c) for a large n, it says the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population
d) for any sized sample, it says the sampling distribution of the sample mean is approximately normal.

c) for a large n, it says the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population

Step-by-step explanation:

The central limit theorem tells us that if we have a large sample size, the distribution made up of the sample means will have an approximately normal shape.  It does not matter what the shape of the population is, as long as the sample size is large enough.

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200