A class of 25 students was asked what their favorite season was. 12 students said
1 answer:
Answer:
2 students said only fall
Step-by-step explanation:
Given:
Total number of students = 25
Number of students who like fall season (F) = 12
Number of students who like summer season (S) = 18
Number of students who like both fall and summer season = 10
To find:
Number of students who like only fall season
Solution:
A set is a well defined collection of objects. A universal set is the set of which all other sets are subsets. It is denoted by U.
According to the venn diagram,
n(only F) =
So, 2 students said only fall.
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Note: Let us consider, we need to find the and
.
Given:
In the given figure, BD is the angle bisector of ABC.
To find:
The and
.
Solution:
BD is the angle bisector of ABC. So,
Divide both sides by 2.
Now,
And,
Therefore, and
.
Answer:
$1170
Step-by-step explanation:
Let the sells for economy seats be =x
Let the sells for deluxe seats be=y
The inequalities that can be obtained are;
x≥1 --------------------at least 1 economy seats
y≥6 --------------------at least 6 deluxe seats
x+y=30-----------------maximum number of passengers allowed on each boat
Graph the inequalities
Use the graph tool to locate the point of maximum profit.The intersecting point for the three graphs
The point is (24,6)
Hence, x=24 and y=6
Profit for each
Economy seats 24×$40=$960
Deluxe seats 6×$35=$210
Maximum profit for one tour
$960+$210=$1170
