A group of 25 students is asked which of football or rugby they play regularly.
• 10 say they play both.
15 say they play rugby.
4 say they do not play either of the sports.
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a) Complete the Venn diagram.
The universal set, &, contains all of the
25 students.
[3]
b) One of these students is chosen at random.
What is the probability that this person plays football?

Answer:

bolded

Step-by-step explanation:

2. 11= 3z +5

 6 = 3z    z= 2

3. 2s - 4 = 6

   2s=10      s= 5

4. 5r + 8 = -12

   5r = -20     r= -4

5. -6p - 3 = 9

    -6p = 12    p= -2

6. 3x + x -2 = -14

  4x = -12    x= -3

7. 5c + 2 -3c = 10

   2c = 8    c=4

8. 3 + 7n +2n = 21

  9n = 18   n=2

9. 6r + 5 - 7r =21

      -1r =16     r= -16

10. 8 - 5b= -7

      -5b = -15    b= 3

11. 6 - 4m= -10

    -4m = -4    m= 1

12. -3t + 4 =19

      -3t = 15     t= -5

13. a= 18

The delivery company's statistics on the average driving miles show that the true statements are:

Z score for 99% confidence interval is 2.576 so this can be found as:

= 85.6 ± (2.576 x 9.85) / √50

= (82.01 to 89.19)

Z score for 95% confidence interval is 1.960 so this can be found as:

= 85.6 ± (1.96 x 9.85) / √50

= (82.87 to 88.33)

With a Z score of 1.960:

= (1.96 x 9.85) / √50

= 2.70 miles

= (2.576 x 9.85) / √50

= 3.59 miles

The correct options are therefore 2 and 5.

Find out more on the margin of error at https://brainly.com/question/10218601.

Answer: Devin's

Step-by-step explanation:

Given

Devin's nature reserve is 14 hectares

Sam's nature reserve is [tex]14\times 10^6\ m^2[/tex]

Also, [tex]1\ \text{hectare}=10,000\ m^2[/tex]

Devin reserve in square meter [tex]14\ \text{hectares}=14\times 10^4\ m^2[/tex]

Clearly, [tex]14\times 10^6> 14\times 10^4[/tex]

So, Devin's manages smaller area

Answer:

[tex]1. \: p = 10 \\ 2. \: x = 4[/tex]

Answer:

x + 3y = 23

Step-by-step explanation:

m = -1/3, find 'b'

5 = -1/3(8) + b

15/3 = -8/3 + b

23/3 = b

y = -1/3x + 23/3

multiply each side by 3 to get:

3y = -x + 23

x + 3y = 23

Answer:

Solution given:

A(a,b) lie in 6x-y =1

substituting value of A in equation ,we get

6a-b=1...................(1)

B(b,a) lie in 2x - 5y = 5

substituting value of B in equation ,we get

2b-5a=5

b=5(a+1)/2............(2)

substituting value of b in equation 1 ,we get

6a-5(a+1)/2=1

12a-5a-5=2

7a=2+5

a=[tex] \frac{7}{7} [/tex]=1

substituting value of a in equation 1 ,we get

6×1-b=1

6-1=b

b=5

so points are A(1,5) and B(5,1)

we have

equation of line having two points

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1) [/tex]

[tex](y - 5) = \frac{1-5}{5-1} (x - 1) [/tex]

[tex](y - 5) = -1 (x - 1) [/tex]

y-5=1-x

x+y=6 is a required equation of line AB.

Step-by-step explanation:

4 pounds is 4÷1=8

2

5 pounds is 5÷1=10

2

Step-by-step explanation:

A(1,4)=A'(1,-4)

B(2,7)=B'(2,-7)

C(7,7)=C'(7,-7)

D(6,4)=D'(6,-4)

Answer:

176.25in^2

Step-by-step explanation:

You can tell that the two triangles on the left, and the two triangles on the right make a rectangle if you flip one of them. Because of this, you can multiply the base and height to get the area of both.

7.5*16=120 (left side)

7.5*7.5=56.25 (right side)

Now we add them to get the full area:

120+56.25=176.25in^2

Answer:

96.5714285714 km^2

Step-by-step explanation:

You have to multiply 52 by 13/7

Answer:

96.5714285714 km^2

hope it helps

Write the system as an augmented matrix:

[tex]\left[\begin{array}{cc|c}1&5&22\\4&-7&7\end{array}\right][/tex]

Add -4 (row 1) to row 2 :

[tex]\left[\begin{array}{cc|c}1&5&22\\0&-27&-81\end{array}\right][/tex]

Multiply row 2 by -1/27 :

[tex]\left[\begin{array}{cc|c}1&5&22\\0&1&3\end{array}\right][/tex]

Add -5 (row 2) to row 1 :

[tex]\left[\begin{array}{cc|c}1&0&7\\0&1&3\end{array}\right][/tex]

Then x = 7 and y = 3.

Answer:

48

Step-by-step explanation:

42 + 90 + x = 180

x = 48

Answer:

i just did that earler lol

Step-by-step explanation:

Answer:

9 and 10

Step-by-step explanation:

square root of 96 is 9.79795897113

Answer:

9 and 10

Step-by-step explanation:

because square of 9 is 81

and square of 10 is 100

81<96<100

so it lies between 9 and 10

Answer:

53

Step-by-step explanation:

53.3333333333

Answer:

160 x /3

Step-by-step explanation:

Answer:

(a)=40  (b)=60

Step-by-step explanation:

(a)=

So first 70 +70 = 140 then 180-140 = 40

(b)

So first 180/3 = 60 all angles =60

Answer:

I'm not entirely sure but I think you have to start by negative -1 and move back 4 spaces?

Step-by-step explanation:

the Red arrows is pointing towards the negative side of the number line

Answer:

the blue cylinder

Step-by-step explanation:

Respuesta:

3.3 × 10⁴ m

Explicación paso a paso:

Paso 1: Información provista

Superficie de la parcela cuadrada (S): 1089 km²

Paso 2: Determinar la longitud del lado (l) de la parcela

Podemos determinar la superficie de un cuadrado usando la siguiente fórmula.

S = l²

l = √S = √1089 km² = 33 km

Paso 3: Convertir "l" a metros

Vamos a usar el factor de conversión 1 km = 10³ m.

33 km × 10³ m/1 km = 3.3 × 10⁴ m

Answer: #1 D 60 2# H

Step-by-step explanation:

Answer:

5.8 thats the answer you get when it is simplified and 1 movie ticket=$2 and 1 bag of popcorn= $1

Step-by-step explanation:

Answer:

44.68.8m³

hope it helps please mark Brainliest

Answer: 15 years

Step-by-step explanation:

Given

Difference between [tex]\frac{3}{5}[/tex] Raman's present age and his age 4 years ago is 0

Suppose Raman's present age is [tex]x[/tex]

So, we can write

[tex]\Rightarrow \dfrac{3x}{5}-(x-4)=0\\\Rightarrow \dfrac{3x-5x}{5}+4=0\\\Rightarrow \dfrac{-2x}{5}+4=0\\\Rightarrow x=\dfrac{20}{2}=10[/tex]

His age after 5 years is [tex]x+5=15\ yr[/tex]

Answer:

get a ruler and meshure out 72 millimeters.

Step-by-step explanation:

did exam

Answer:

A-3/4=1/8 is the equation, if you expand 3/4 it is 6/8, in order to get 1/8 you need to subtract 6/8 from 7/8

7/8-6/8=1/8 therefor A=7/8

Answer:

5 hours

Step-by-step explanation:

Jack 40/11 = 3.64 bushels per hour

Jill 40/9 = 4.44 bushels per hour

together they pick 3.64 + 4.44 = 8.08 bushels per hour

40/8.08 = 4.95 hours