Answer:
The probability of the tip to be more than 200 is 0.1.
Step-by-step explanation:
As per the given data
Amount of tip Number
0-20 200
20-50 100
50-100 75
100-200 75
200+ 50
____________________
Total= 500
So what is the probability of tip to be more than 200 is given as

From the table the value is 50 for the tip to be more than 200 where as the total occurrences are 500 so substituting values:

So the probability of the tip to be more than 200 is 0.1.
Answer:
$39,851.25
Step-by-step explanation:
If the sales increase at a rate of 9% per year, this means it will be 109% of the previous year's value since 100% + 9% = 109%
109% in decimal form = 109/100 = 1.09
Therefore, the exponential function is:
, where
is the number of years
So when
,

After 8 years, annual sales = $39,851.25
Answer:
Step-by-step explanation:
If P, Q and S are collinear, then the three points lies on the same straight line.
If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;
<P Q R + <R Q S = 180
Given
<R Q S =x+1
<P Q R = 3x-5
Substitute the given expression into the formula and calculate x;
3x-5+x+1 = 180
collect like terms
3x+x - 5+1 = 180
4x-4 = 180
4x = 180+4
4x = 184
divide both sides by 4
4x/4 = 184/4
x = 46°
To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.
m∠PQR = 3x-5
m∠PQR = 3(46) - 5
m∠PQR = 138 - 5
m∠PQR = 133°
Hence the measure of angle m∠PQR is 133°
The volume of the cylinder is; 128π in3
Base area(πr^2)*height
Π = 3.14
Therefore; 3.14 * 4^2 * 8
3.14 * 128
= 401.92 in3
28 to 16
Divide both numbers by 4.
7 to 4