The , denoted modifyingabove p with caret, is given by the formula modifyingabove p with caretequals, where x is the number of individuals with a specified characteristic in a sample of n individuals.

The sample proportion denoted , is given by the formula , where x is the number of individuals with a specified characteristic in a sample of n individuals.

When we want to estimate the real population proportion we use as estimate the sample proportion, given by . Where:

x is the number of individuals with a specified characteristic in a sample

n represent the sample size of individuals selected.

Step-by-step explanation:

For this case we can complete the phrase like this:

The sample proportion denoted , is given by the formula , where x is the number of individuals with a specified characteristic in a sample of n individuals.

When we want to estimate the real population proportion we use as estimate the sample proportion, given by . Where:

x is the number of individuals with a specified characteristic in a sample

n represent the sample size of individuals selected.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

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 ☺