I have to interpret that:
1) the smaller square has side length = 3 cm
2) the bigger square has side length = 5 cm
3) the smaller square is completely inside the bigger square.
4) the points cannot be outside the bigger square
Under those assumptions the probability that a point is inside the smaller square is
P (inside the smaller square) = area of the smaller square / area of the bigger square
P (inside the smaller squere) = (3cm)^2 / (5cm)^2 = 9 / 25
Answer: 9 / 25
<h2><u>Solution</u> :-</h2>
Height of Eric = 6 + 1/6 feet
= 37/6 feet
Height of his brother = 5 + 3/4 feet
= 23/4 feet
Difference between their height :
= 37/6 - 23/4
= (74 - 69)/12
= 5/12
<u>Hence</u>,
Eric is 5/12 feet taller than his brother.
The given sequence is:

a(2)=1
a(3)=3
a(4)=9
We are to find the average rate of change between n=3 and n=4 for the given function.
Average rate of change =

So the average rate of change for the given function from n = 3 to n = 4 is 6
Two thousand dollars is invested at 5.5 percent interest compounded
quarterly for 2 years. Then the amount is $ 2230.88
<u>Solution:</u>
Given that Two thousand dollars is invested at 5.5 percent interest compounded quarterly for 2 years
<em><u>The formula for amount using compounded quarterly is given as</u></em>:

Where, "p" is the principal sum
"R" is the rate of interest
"T" is the number of years
Here in this problem,
P = 2000 ; R = 5.5 ; T = 2 years
Plugging in values in formula we get,


On solving we get,

Hence the amount is $ 2230.88