Determine whether the quantitative variable is discrete or continuous. number of interceptions made by a defensive back is the variable discrete or continuous? a. the variable is continuous because it is not countable. b. the variable is continuous because it is countable. c. the variable is discrete because it is countable. d. the variable is discrete because it is not countable.

The number of interceptions made by a defensive back is definitely countable because it is finite and also it is not continuous because each interception is different and is unique. That is to say, one interruption happens and then then next. They do not happen in a continuous manner.

Thus, the number of interceptions made by a defensive back are countable and are discrete. Having a look at the options we can see that Option C matches as it says "the variable is discrete because it is countable".

Thus Option C is the answer.

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.

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 ☺