Answer:
<em>The probability is 42%</em>
Step-by-step explanation:
<u>Conditional Probability</u>
It's the probability of the occurrence of an event B knowing that an event A has already occurred and A and B are related (not independent).
If P(A) is the probability of occurrence of A,
is the probability of both events to occur, and P(B|A) is the required probability occurrence of B:

We know a high school marching band has 125 members, from which 41 are seniors (event B), 24 play the trumpet (event A), and 10 are seniors who play the trumpet.
The probability that a randomly selected band member plays the trumpet is

The probability that he or she has both attributes is

Thus, the required conditional probability is


The probability is 42%
Answer:
- Benito's error was using the equal sign (=) instead of the congruency symbol (≅).
Explanation:
Benito's error was using the equal sign (=) instead of the congruency symbol (≅).
The congruency symbol (≅) means that the elements (segments, angles or figures in general) have the same measure, i.e. they have equal lengths for the segments or equal measure for the angles.
For instance, it is an error saying that the segment AB is equal to the segment BC because, as you clearly see in the picture, they are not same; they have the same length but they are joining different points, that makes them different in essence, although they have the same length. They would be equal only if they are the same figure.
In mathematics, you must not say that two different segments or two different angles are equal but they are congruent, which means that their lengths are equal. The use of equal is reserved for numbers and variables, not for figures like segment, points, angles, polygons.
Solution:
Matte Satin Glossy Total
Homeowners 0.08 0.20 0.24 0.52
Contractors 0.04 0.26 0.18 0.48
Total 0.12 0.46 0.42 1
Approximately what percentage of contractors prefer the glossy finish?
Answer: Percentage of contractors who prefer the glossy finish is:
or 
Therefore, the option D. 37.5% is correct
<u>Answer:</u>$68.69
<u>Step-by-step explanation:</u>
Calculation of bill value
Cheeseburgers = 26.25
(8.75 x 3)
Fish Sandwich = 6.75
Pizza = 14.99
Sweet Tea
(4 x 2.09) = 8.36
Total of items = 56.35
Sales tax on food = 3.381
(56.35 x 6%)
Total bill value = 59.731
Calculation of tips
Bill value x 15%
=59.731 x 15%
Tips paid=8.95965
Calculation of meals cost
Total meal cost = Bill value + tips
=59.731+8.95965
=$68.69
Total meal cost is $68.69
Answer:
Step-by-step explanation:
Total amount of apples that Nicole bought was 6 pounds.
Each pound of apple cost $1.50
This means that the total cost of the 6 pounds of apple that Nicole bought would be
6 × 1.5 = $9
The store had a discount of $2 off her total purchase. This means that the amount that was paid is
9 - 2 = $7
If Nicole and her friend then divided the cost of the purchase evenly, let x represent the amount that each of them would pay. Therefore, the expression that can be used to determine how much Nicole and her friend each paid for the apples would be
x = 7/2