Answer
11.5 ft
Step-by-step explanation:
Perimeter of rectangle:2(l+w)
l :1/4 ft w:11/2 ft
2(1/4+11/2)=11.5
Answer:
286 students attended
148 non students attended
Step-by-step explanation:
Given




Solving (a): Number of students
Represent students with S and non students with N
So:
--- (1)
--- (2)
Make N the subject of formula in (1)

Substitute 434 - S for N in (2)

Open Bracket

Collect Like Terms


Divide through by -2

<em>Hence; 286 students attended</em>
Solving (b):
Recall that



<em>148 non students attended</em>
So all positive integers is the domain (the number you can use)
and the range (the numbers you get when you put the numbers in the domain in) is all positive integers more than 2
Answer:
240
Step-by-step explanation:
add up the numbers of all the students that were surveyed
get 90
60 of those were rock or hiphop
divide 360 by 90
get 4
multiply 60 by 4
get 240
Answer:
Option 4
Step-by-step explanation:
Term = n/(4^n)
(n+1)th term = (n+1)/[4^(n+1)]
Ratio: (n+1)/[4^(n+1)] ÷ n/(4^n)
= (n+1)/[4^(n+1)] × (4^n)/n
= [(n+1)/n] × (1/4)
For large n, (n+1)/n approaches 1
[(n+1)/n] × (1/4) approaches 1/4 which is less than 1
Since the ratio is less than 1, series converges