1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrei [34K]
3 years ago
7

There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 peop

le use the gym and the pool. 30 people use the pool and the track. 17 people use the gym and the track. 6 people use all three facilities. Given that a randomly selected person uses the gym and the track, what is the probability they use all the facilities?
Mathematics
2 answers:
klemol [59]3 years ago
8 0

Answer:97/125

Step-by-step explanation:

“As illustrated in the Venn diagram,

We let

U=[The total number of people at the sport center]

This implies that,

n(U)=125

G=[Those who use the gym]

This implies that,

n(G)=59

P=[Those who use the pool]

This implies that,

n(P)=70

T=[Those who use the track]

This implies that,

n(T)=55

a=[Those who use the gym only]

This implies that,

n(a)=59-(6+11+19)=59-36=23

b=[Those who use the pool only]

This implies that,

n(b)=70-(6+19+24)=70-49=21

c=[Those who use the track only]

This implies that,

n(c)=55-(6+24+11)=55-31=14

Also, number of people who use gym and track=11+23+19+6+14+24=97”

cricket20 [7]3 years ago
3 0
The answer is 97/125
You might be interested in
Legolas shoots 3 arrows at once from his bow. He has 177 arrows. How many times can Legolas shoot his bow before he needs more a
Nataliya [291]

Answer:

59

Step-by-step explanation:

3x=177

3x represents the # of arrow he can shoot at once every time

177 represents the total # of arrow he has

3 0
3 years ago
Find f(g(x)) Please help it’s really important !! I’ll mark brainliest
Nutka1998 [239]

Simplify f(g(x))=-3(2x-3)^2 -2(2x-3)+1

Step-by-step explanation:

you plug in the g(x) function for every x in the f(x) function and then simplify to get the answer. sorry I can't solve it right now

7 0
3 years ago
Let a, b, c, and d be real numbers with a, c 6= 0. Prove that the lines y = ax+b and y = cx + d have the same x-intercept if and
Monica [59]

Step-by-step explanation:

We have got the lines :

y=ax+b\\y=cx+d

Both lines intercept the x-axis in the point :

I = (i_{1} ,i_{2})

In all point from x-axis the y-component is equal to 0.

I=(i_{1},o)

We replace the I point in the lines equations:

0=a(i_{1})+b \\0=c(i_{1})+d

From the first equation :

0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}

From the second equation :

0=c(i_{1})+d\\ -d=c(i_{1})\\i_{1}=\frac{-d}{c}

Then i_{1}=i_{1}

Finally :

\frac{-b}{a}=\frac{-d}{c} \\\frac{b}{a}=\frac{d}{c} \\ad=bc

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

8 0
3 years ago
Find the area of the circle to the<br> nearest tenth. Use 3.14 for it<br> (11 mm)
Nikolay [14]

Answer:

The area of the circle is 379.94 mm²

Step-by-step explanation:

To solve this problem we need to use the area formula of a circle:

a = area

r = radius = 11 mm

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (11 mm)²

a = 3.14 * 121 mm²

a = 379.94 mm²

Round to the nearest tenth

a = 379.94 mm² = 379.9 mm²  

The area of the circle is 379.9 mm²

4 0
3 years ago
In 1997 there were 31 laptop computers at grove high school. starting in 1998 the school bought 20 more laptop computers at the
Ksenya-84 [330]
We have equation:
t=20x+31
x is number of years after 1997.

To calculate number of laptops in 2005:
x=2005-1997
x=8

t=20*8+31
t=160+31
t=191

In year 2005 school had 191 laptops.
7 0
3 years ago
Other questions:
  • hELP!!! PLEASE?! BRAINLIEST ANSWER INCLUDED!!! A cashier has a total of 98 bills, made up of fives and fifties. The total value
    5·1 answer
  • andy gets 7 out of 25wrtong in his maths test what fraction of the questions does andy answer correctly
    10·2 answers
  • Which expresses 216:270 in its simple form
    8·1 answer
  • Combine the like terms to create an equivalent expression. \large{7n+4n}7n+4n
    10·1 answer
  • McLaughlin High School is selling 1,000 tickets for $10 each to raise funds for its arts programs. One ticket will be drawn, and
    7·1 answer
  • What is the volume of the composite figure
    6·1 answer
  • What is 15% of 80kg i am<br> Really not sure
    15·2 answers
  • Need helping solving for zero domain and range!!
    10·1 answer
  • Find the value of x??
    12·1 answer
  • After leaving her house, Shelley drove 14.47 kilometers to the gas station and then another 5.8 kilometers to work. How many tot
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!