Answer:

Step-by-step explanation:
The formula of conditional probability is:

And if we called N(U) the total number of possible outcomes, then remember by definition of probability:

Then plugging them into the formula of conditional probability we get:

Then we simplify and we get:

We just plug the given info and we get:

The value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.
<h3>How to determine the dimensions?</h3>
The given parameters are:
Base = 5(x+3)
Height = 2(x+9)
Perimeter = 108
The perimeter of a rectangle is
P = 2 *(Base + Height)
So, we have:
2 *(5(x + 3) + 2(x + 9)) = 108
Divide both sides by 2
5(x + 3) + 2(x + 9) = 54
Open the brackets
5x + 15 + 2x + 18 = 54
Evaluate the like terms
7x = 21
Divide by 7
x = 3
Substitute x = 3 in Base = 5(x+3) and Height = 2(x+9)
Base = 5(3+3) = 30
Height = 2(3+9) = 24
Hence, the value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.
Read more about perimeter at:
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To find the percent decrease from Saturday to Tuesday, you will find the difference between the number of customers on those days and divided by the total number of customers on Saturday.
By dividing this you will get a decimal, which then can be converted to a percent.
80-17= 63
63/80 = 0.7875
0.7875 = 78.75%
There was a 78.75% decrease from Saturday to Tuesday.
Let x be the price of a cupcake.
There are 24 cupcakes so it will be 24x.
Solution:
24x+16=52
24x=52-16
24x=36
Divide both sides by 24
X=1.5.
The price of each cupcake is 1.5$