Answer:

Step-by-step explanation:
1. Approach
Probability is a way of predicting a future outcome based on given data. In essence, the formula for finding the probability is,
.
It is given that
- (63) paid with cash
- (22) paid with a debit card
- (13) paid with a credit card
First, add all of these numbers up to find the total number of customers. Then set up the probability, finally, simplify the fraction by diving both the numerator and denominator by a common factor.
2. Find the total number of customers
Add up all of the given customers, regardless of their payment type.;

(98) total customers.
3. Find the probability
Now set up the probability, remember, the formula for finding the probability is,

The desired outcome is the number of customers who pay with cash = (63)
The total outcome is the number of customers who when to the business; (98)
Substitute in the numbers and simplify,


Both of these numbers are divisible by (7), hence divide the fraction by (7)

That would be 6 and 6/8 inches
Answer: it will take 8.25 seconds to reach maximum height
Step-by-step explanation:
Initial velocity, u of baseball = 132 feet per second. The height of the baseball, h in feet after t seconds is given by the function h = −16t^2 + 132t + 4
The given function is a quadratic equation. If values of height attained is plotted against time, the graph will take the shape of a parabola whose vertex corresponds to the maximum height attained by the baseball
Vertex of the parabola = -b/2a
a = - 16
b = 132
Vertex = - 132/-16× 2 = -132/32
Vertex = 4.125
The maximum height is 4.125 feets
To determine the time it will take to reach the maximum height of 4.125 feets, we will substitute h = 4.125 in the equation
4.125 = −16t^2 + 132t + 4
−16t^2 + 132t - 0.125 = 0
Applying the general formula for quadratic equations,
t = [- b ± √b^2 - (4ac)]/2a
a = -16
b = 132
c = -0.125
t = [- 132 ± √132^2 - 4(-16 × - 0.125)]/2× -16
t = [- 132 ± √17424 - 8)]/-32
t = [- 132 ± √17416]/-32
t = (-132 ± 132)/-32
t = (-132 + 132)/-32 or (-132 -132)/-32
t = 0 or -264/-32
t = 8.25 seconds