All categories

3 years ago

VENN DIAGRAMS HELP?

Mathematics

1 answer:

user100 [1]3 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

You might be interested in

Please help me! 8 pts and brainliest!! please

ad-work [718]

Answer:

60 degrees

Step-by-step explanation:LARGE ANGLE...60-degrees

So, we have x + 2x = 90. Solving for x, we get x = 30. Since the first angle was called x, that means it's measurement is 30°. The second angle, 2x, is just twice the first angle, so its measurement is 60°

7 0

2 years ago

Read 2 more answers

In this figure, AB || CD and m/1 = 110*. A / What is m/5? 5/6 8/ 7 D Enter your answer in the box.

pashok25 [27]

Answer:

240°

Step-by-step explanation:

Draw a line EF perpendicular to AB and CD passing through M

In △BME

∠BME+∠MBE+∠BEM=180∘ (Angle sum proprerty)

∠BME+35∘+90∘=180∘∠BME=180∘−125∘∠BME=45∘

In △DMF

∠DMF+∠MDF+∠MFD=180∘ (Angle sum property )

∠DMF+75∘+90∘=180∘∠DMF=180∘−165∘∠DMF=15∘

x=∠DMF+∠BME+∠EMF

x=15∘+45∘+180∘x=240∘

6 0

3 years ago

The movie theater charges $4 for children, $6 for adults, and $5 for seniors. A group of 14 people decide to go to the movies. T

MaRussiya [10]

Answer:

Adults=8

Childrens=2

Seniors=2

Step-by-step explanation:

Children $4

Adults $6

Seniors $5

There are an equal number of seniors and children.

The entire group spent a total of $66.

If 11 adults attended, the total amount will be $66 and the number of senior and childrens will be the same, 0. But this is not possible because the statement says that childrens and seniors are part of the group.

If we add the charges of childrens and seniors is equal to $9.

Assuming that the group has 2 childrens and 2 seniors the add is equal to:

$(2*5)+(2*4)= 18$

Now we substract the result from the total amount:

$66-18=48$

48 is multiple of 6, this means we have in the group 8 adults, 2 childrens and 2 seniors.

4 0

3 years ago

What is the radius of a circle with circumference 56 inches

pochemuha

Answer:

The answer is 8.91 or 8.9

Step-by-step explanation:

SInce the circumference is 56, you'll divide it by pi or 3.14. It's as if you're doing it backwards, but not always. After you divide it by 3.14, you'll get your diameter, or in this case, 17.8. Divide the diameter by 2 because the diameter is twice the radius. Eventually your final answer will be 8.91 or 8.9

5 0

2 years ago

For what value of a does 9=1/27a-3

USPshnik [31]

Answer:

a = 324

Step-by-step explanation:

9=1/27 a -3

value of a = ?

9=(1/27) a -3

9 + 3 = (1/27) a

12 = (1/27) a

12 x 27 = a

a = 324

6 0

2 years ago