Sebastian wants to estimate the proportion of the sophomores at his high school who like to waterski. He interviews a simple random sample of 60 of the 150 sophomores on campus. He finds that 19 like to waterski. Is the independent condition for finding confidence intervals met? Explain.(A) Yes, the independent condition for finding confidence intervals is met because np̂ = 19 and n(1 − p̂) = 41, both of which are at least 10.(B) Yes, the independent condition for finding confidence intervals is met because the sample size is greater than 30.(C) No, the independent condition for finding confidence intervals is not met because np̂ = 19 and n(1 − p̂) = 41, both of which are less than 100.(D) No, the independent condition for finding confidence intervals is not met, because 60 is more than 10% of 150.(E) Yes, the independent condition for finding confidence intervals is met because the sample is a simple random sample.

first one because it can't have a fraction in it

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺