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LekaFEV [45]
3 years ago
7

2.

Mathematics
1 answer:
iVinArrow [24]3 years ago
8 0

Answer:

1.) 60 students

11.) kindly check attached picture

Step-by-step explanation:

Given that:

Total number of students = n(Total) = 180

Number who participate in sport = n(Sport) = 120

Number who participate in both = n(Sport n Music) = 40

Number who participate only in Music =?

Let number who participate in Music = x

Hence, n(Music only) = x - 40

n(Sport only) = 120 - 40 = 80 students

Summing all should give us n(total)

n(sport only) + n(sport n music) + n(music only) = 180

80 + 40 + (x - 40) = 180

80 + 40 + x - 40 = 180

80 + x = 180

x = 180 - 80

x = 100 students

Therefore,

n(Music only) = x - 40 = 100 - 40 = 60 students

You might be interested in
Write the ratio 69:75 as a fraction, decimal,and a percent.
LekaFEV [45]
As a fraction, 69:75 would become 96/75
As a decimal 69:75 would become 0.92
As a percentage 69:75 would become 92%
Hope this helps :) 
3 0
3 years ago
Read 2 more answers
[HELP ASAP 50 POINTS] 17, 18, 19, 20
Charra [1.4K]

17) f(x) = 16/(13-x).

In order to find domain, we need to set denominator expression equal to 0 and solve for x.

And that would be excluded value of domain.

13-x =0

Adding x on both sides, we get

13-x +x = x.

13=x.

Therefore, domain is All real numbers except 13.



18).f(x) = (x-4)(x+9)/(x^2-1).

In order to find the vertical asymptote, set denominator equal to 0 and solve for x.

x^2 -1 = 0

x^2 -1^2 = 0.

Factoring out

(x-1)(x+1) =0.

x-1=0 and x+1 =0.

x=1 and x=-1.

Therefore, Vertical asymptote would be

x=1 and x=-1

19) f(x) = (7x^2-3x-9)/(2x^2-4x+5)

We have degrees of numberator and denominator are same.

Therefore, Horizontal asymptote is the fraction of leading coefficents.

That is 7/2.


20) f(x)=(x^2+3x-2)/(x-2).

The degree of numerator is 2 and degree of denominator is 1.

2>1.

Degree of numerator >  degree of denominator .

Therefore, there would no any Horizontal asymptote.

6 0
4 years ago
If I put 1500 into my savings account and 180 of interest at 4% simple interest how long was my money in my bank
stealth61 [152]

10,800 I think that's the answer


6 0
3 years ago
What’s the degree of x
olga2289 [7]
Answer:
24.23

Step-by-step explanation:
The tan(x) would equal to the opposite side over the adjacent one
So 9/20. To get the degree we need to get the arctan of it, so arctan(9/20) = 24.23

5 0
2 years ago
A warehouse is 55 yards long, 35 yards wide, and 5 yards high. What is the area of the warehouse floor? If the warehouse is fill
amid [387]

Answer:

The area of the warehouse floor is 1925yd²

The volume of the boxes is 4812.5yd³

Step-by-step explanation:

First we have to calculate the area, for this we must multiply the length by the width

a = area

l = long = 55yd

w = width = 35yd

a = l * w

a = 55yd * 35yd

a = 1925yd²

to calculate the volume we have to multiply the area by the height

asks us for the volume for half the height so we have to divide the height by 2

a = area = 1925yd²

h = height = 5yd/2 = 2.5yd

v = volume

v = a * h

v = 1925yd² * 2.5yd

v = 4812.5yd³

The area of the warehouse floor is 1925yd²

The volume of the boxes is 4812.5yd³

5 0
4 years ago
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