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Serjik [45]
4 years ago
7

VENN DIAGRAMS HELP?

Mathematics
1 answer:
user100 [1]4 years ago
7 0

Answer:

a. Probability of student  having both cat and dog = 9/25

b. Probability of student  not in drama club or sports team = 105/330

c. Probability of student who play both cricket and football = 10/32

Step-by-step explanation:

a. Given,

Total Students = 25

A = Students with cat = 15

B = Students with dog = 16

Students with both dog and cat = A∩B

A∪B = Total students - Students with neither dor or cat = 25-3 =22

A∪B = A + B - A∩B

A∩B = A + B - A∪B

A∩B = 15 + 16 - 22 = 9

Hence probability (A∩B) = A∩B÷Total Students = 9/25

b. Given,

Total Students = 330

A = Students with in drama club = 85

B = Students with in sports team = 200

Students in both drama and sports team = A∩B = 60

A∪B = Total students - Students in neither in drama or sports

A∪B = A + B - A∩B

A∪B = 85 + 200 - 60 = 225

A∪B =300  - Students in neither in drama or sports

Students in neither in drama or sports = 300 - 225 = 105

Hence probability (Students in neither in drama or sports) =  Students in neither in drama or sports/Total Students = 105/330

c. Given,

Total Students =

A = Students playing football = 14

B = Students playing cricket = 21

Students playing both football and cricket = A∩B = 10

A∪B = Total students - Students playing neither football or cricket

A∪B = A + B - A∩B

A∪B = 14 + 21 - 10 = 25

A∪B = Total students - Students playing neither football or cricket

A∪B = Total students - 7

Total students = 25 + 7 = 32

Hence probability (A∩B) = A∩B÷Total Students = 10/32

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Divide 400 by 1/2 or 2.

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Six more than four times a number is -26
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5 0
3 years ago
Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Liam bought 2 hamburgers and 4 orders of fries for $13. How much
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The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

<h3>What is system of equation?</h3>

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,

3x+2y=12.5

Solve this equation as,

2y=12.5-3x\\y=\dfrac{12.5-3x}{2}                        .....1

Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,

2x+4y=13

Put the value of y in this equation and solve it further,

2x+4(\dfrac{12.5-3x}{2})=13\\2x+25-6x=13\\-4x=13-25\\-4x=12\\x=\dfrac{12}{4}\\x=3

Put this value of x in equation 1,

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The cost of an order of 1 hamburger and 2 orders of fries is,

C=3\times 1+2\times1.75\\C=3+3.5\\C=6.5

Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

Learn more about the system of equations here;

brainly.com/question/13729904

#SPJ1

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2 years ago
You are booking a flight from new york to Atlanta there is no change in the time zones the flight leaves new York at 11:15a.M an
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Step-by-step explanation:

Want a little trick to solve problems like these? Use military time

1:45 = 13:45

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a salsa recipe use green pepper, onions, and tomato in the extended ratio 1:3:5. How many cups of onion are needed to make 24 cu
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