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makkiz [27]
3 years ago
7

Plz help me I need it by 10

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
5 0
He will be on team 3

Student# 1 2 3 4 5 6 7 8 9 10 11
Team# 1 2 3 4 1 2 3 4 1 2 3
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among a group of students 50 played cricket 50 played hockey and 40 played volleyball. 15 played both cricket and hockey 20 play
kondaur [170]

Answer:

Cricket only= 30

Volleyball only = 15

Hockey only = 25

Explanation:

Number of students that play cricket= n(C)

Number of students that play hockey= n(H)

Number of students that play volleyball = n(V)

From the question, we have that;

n(C) = 50, n(H) = 50, n(V) = 40

Number of students that play cricket and hockey= n(C∩H)

Number of students that play hockey and volleyball= n(H∩V)

Number of students that play cricket and volleyball = n(C∩V)

Number of students that play all three games= n(C∩H∩V)

From the question; we have,

n(C∩H) = 15

n(H∩V) = 20

n(C∩V) = 15

n(C∩H∩V) = 10

Therefore, number of students that play at least one game

n(CᴜHᴜV) = n(C) + n(H) + n(V) – n(C∩H) – n(H∩V) – n(C∩V) + n(C∩H∩V)

= 50 + 50 + 40 – 15 – 20 – 15 + 10

Thus, total number of students n(U)= 100.

Note;n(U)= the universal set

Let a = number of people who played cricket and volleyball only.

Let b = number of people who played cricket and hockey only.

Let c = number of people who played hockey and volleyball only.

Let d = number of people who played all three games.

This implies that,

d = n (CnHnV) = 10

n(CnV) = a + d = 15

n(CnH) = b + d = 15

n(HnV) = c + d = 20

Hence,

a = 15 – 10 = 5

b = 15 – 10 = 5

c = 20 – 10 = 10

Therefore;

For number of students that play cricket only;

n(C) – [a + b + d] = 50 – (5 + 5 + 10) = 30

For number of students that play hockey only

n(H) – [b + c + d] = 50 – ( 5 + 10 + 10) = 25

For number of students that play volleyball only

n(V) – [a + c + d] = 40 – (10 + 5 + 10) = 15

3 0
3 years ago
Triangle MNO is an equilateral triangle with sides measuring 16 square root of 3 units.
Olenka [21]
M.N and O are 60 degree. And you have to know that 30 60 and 90 triangle. if 30 degrees opposite is measuring A , 60 is A square root 3 and the 90's opposite is being 2A. So 90 degree opposite is 16 square root 3 and 30 degree is being 8 square root 3 and 60 is
8 \sqrt{3}  \times  \sqrt{3}  = 24
the height is 24 .
6 0
3 years ago
Read 2 more answers
Which mean the same as 60%? Check all that apply
andrew-mc [135]

Answer:

a, c, d

Step-by-step explanation:

1. a: 3/5=0.6=60%

2. c: 0.60=60%

3. d: 6/10=0.6=60%

6 0
2 years ago
Read 2 more answers
1/4 + 1/2 + x = −3/4
Ostrovityanka [42]

1/4 + 1/2 + x = −3/4

get a common denominator 1/4

1/4 +2/4 +x = -3/4

combine like terms

3/4 +x =-3/4

subtract 3/4 from each side

x = -3/4 -3/4

x = -6/4

divide top and bottom by 2

x = -3/2

x = -1   1/2

Answer : x = -1  1/2

7 0
3 years ago
Read 2 more answers
He table shows the solution to the equation |2x − 5| − 2 = 3:
ozzi
The solution is completely correct, as putting 5 or 0 in the formula again will make it true.

|2(0)-5|=5
|-5|=5
5=5

|2(5)-5|=5
|10-5|=5
5=5
6 0
3 years ago
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