There are 130 people in a sport centre.
61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 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 do not use the swimming pool?
Answers
Answer:
13 / 19
Step-by-step explanation:
Given that :
U = 130
Let :
s = swimming pool
t = track
g = gym
n(g) = 61 ; n(s) = 68 ; n(t) = 60
n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19
n(g n s n t) = 6
n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13
Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)
= 13 / 19
= 13 / 19
Related Questions
Can someone answer this for me ill give brainliest asap
Answers
The dimensions for a rectangular prism are x + 2 for the length, x + 3 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form. The volume of the prism can be expressed as (_____)
please if you can explain it to me, I want to understand how to do this as well. thank you for your help
Answers
V = (x + 2)(x + 3)(x)
V = (x)(x^2 + 3x + 2x + 6)
V = (x^3 + 3x^2 + 2x^2 + 6x)
V = x^3 + 5x^2 + 6x
All you do is foil the dimensions together and then combine like terms. Hope this helps!
Answer:
Step-by-step explanation:
Explain what you would do first to simplify the
expression below. Justify why, and then state the
result of performing this step.
312
1212
2
4+²
Answers
Answer:
how do you do this
Step-by-step explanation:
A card is drawn from an ordinary deck of cards. What is the probability that the card is a king given that the card is red?
A. P(K|R) = 0.8
B. P(K|R) = 0.2
C. P(K|R) = 0.92
D. P(K|R) = 0.08
Answers
Answer:
d. 0.08
Step-by-step explanation:
52 cards in a deck of cards. 26 are red. there are 2 red kings. 2/26= 0.076 which rounds up to 0.08
Half the cards (26) are red
Then there are 2 red kings out of the 26.
Probability of picking a red king out of the red cards is 2/26 = 1/13 = 0.076
Round to 0.08
The answer is D.
what is 0.000 002 in standard form
Answers
Answer:
[tex] 0.000 002 = 2 \times {10}^{ - 6} [/tex]
Step-by-step explanation:
It is already in standard form and can be expressed in scientific form as:
[tex]0.000 002 = 2 \times {10}^{ - 6} [/tex]
Answer:
0.000 002 in standard form is NaN x 100^0
Step-by-step explanation:
A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value?
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 millimeters Over 10 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 centimeter Over 10 millimeters EndFraction times StartFraction 365 days Over 1 year EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 365 days Over 1 year EndFraction
Answers
Answer:
Step-by-step explanation:
the answers below are hard to read
we have 4 cm/year and the realtor wants to convert in mm/day
4 cm=40 mm this is our first step
1 year=365 days
we will have 40mm/365days
or 4cm/1 year x 10 mm/365 days
A type of opinion based on observation and evidence.
Answers
Answer:
hypothesis
Step-by-step explanation:
Answer:
It is a hypothesis
Step-by-step explanation:
u gather evidence and based on the info u have, u make an opinion (hypothesis)
Given AABC : ADEF, find x.
E
B
x
8
А
С
D
12.
18
10
12
14
27
Answers
Answer:
bx8
Step-by-step explanation:
-3x + 18 = 6
x = ___
show work please
Answers
Answer:
x=4
Step-by-step explanation:
-3x + 18 = 6
First, we have to get x alone. So, we have to subtract 18 from 6.
6 - 18 = -12
-3x = -12
-12/-3 = 4
x=4
Paul was making some brownies and cupcakes for his school fundraiser. If the brownies needed 4.8 cups of sugar and the cupcakes needed 5.2 cups, how much sugar would he need altogether?
Answers
Answer:
10 cups in total.
Step-by-step explanation:
4.8+5.2= 10.00
add the .2 to the 4.8 you get get 5 then add 5.0+5.0
I just need help on this please
Answers
Answer:
the slope is mx+b so 3
Step-by-step explanation:
mx+b
Select all equivalent expressions from the list.
8(7x-6)
•15x-6
•56x-48
•56x-6
•8•7x-8•6
Answers
Answer:
It should be 56x-48 and (8*7)x-(8*6)
Step-by-step explanation:
1. After running, Maggie is 3 miles east of her starting point, and 4 miles north of her starting point. What angle could represent her direction of travel?
Answers
Answer:
The angle is 53.13 degrees
Step-by-step explanation:
Here, we want to calculate angle representing the direction of travel
From the question, she is 3 miles east and 4 miles north of her starting point
So the angle that represents her direction of travel will be that which makes a cut with the horizontal (the east direction)
Now, let us picture a right-angled triangle, with 3 miles direction being the adjacent and the 4 miles direction (facing the angle we want to calculate and is the opposite)
the trigonometric identity to use is the Tangent
Tan theta = 4/3
theta = arc tan (4/3)
theta = 53.13 degrees
Glen mixes red bricks with yellow bricks when building sides of a brick house. The ratio is 3 pieces of red brick for every 7 pieces of yellow brick. If there are 28 pieces of yellow brick, how many pieces of red brick will there be?
Answers
Answer:
12 red bricks
Step-by-step explanation:
Please help me will be much appreciated <3
Answers
Answer:
She earned 300 dollars by selling 100 headbands.
Solve for the variable using Trig ratio.
Answers
Answer:
x = 3.86
a = 5.86
Step-by-step explanation:
From the triangles attached,
By applying cosine rule in triangle 1,
cos(50)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(50)° = [tex]\frac{x}{6}[/tex]
x = 6cos(50)°
x = 3.86
Now we apply sine rule in the second triangle,
sin(23)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(23)° = [tex]\frac{a}{15}[/tex]
a = 15sin(23)°
a = 5.86
I WILL GIVE BRAINLIEST 50 POINTS
What is the average rate of change for the mold over the 6 days?
Answers
Answer:
The average rate of change is 63/6
Step-by-step explanation:
You take the the change from 0 - 6 and 1 - 64 as the changes
the equation is: delta y
delta x
so the average rate is 63/6
What is the value of log: 3 3
Answers
Answer:
1
Step-by-step explanation:
The graph of f (x) = x + 5 is a vertical translation 5 units
up of the graph of f(x) = x. How can you obtain the graph of
f(x) = x + 5 from the graph of f (x) = x using a horizontal
translation?
Answers
Answer:
A horizontal translation of 5 units to the left.
Step-by-step explanation:
Given the parent linear function:
[tex]\displaystyle f(x)=x[/tex]
To shift vertically n units, we can simply add n to our function. Hence:
[tex]f(x)=x+n[/tex]
So, a vertical shift of 5 units up implies that n=5. So:
[tex]f(x)=x+5[/tex]
As given.
However, to shift a linear function horizontally, we substitute our x for (x-n), where n is the horizontal shift. So:
[tex]f(x-n)=(x-n)[/tex]
Where n is the horizontal shift.
For example, if we shift our parent linear function 1 unit to the right, this means that n=1. Therefore, our new function will be:
[tex]f(x-1)=(x-1)[/tex]
Or:
[tex]f(x)=x-1[/tex]
We notice that this is also a vertical shift of 1 unit downwards.
Therefore, we want a number n such that -n=5.
So, n=-5.
Therefore, it we shift our function 5 units to the left, then n=-5.
Then, our function will be:
[tex]f(x-(-5))=(x+5)\text{ or } f(x)=x+5[/tex]
Hence, we can achieve f(x)=x+5 from f(x)=x using a horizontal translation by translating our function 5 units to the left.
What is the domain ??
Answers
Answer:
[-8, 6]
Step-by-step explanation:
Domain is the x values. Look at the smallet x value, in this case -8, and the largest, in this case 6, and write them like a point using [] not (). You use [ or ] for numbers and ( or ) for infinity signs.
if f(x) =3x+12 find f(-6)
Answers
In order to set premiums at profitable levels, insurance companies must estimate how much they will have to pay in claims on cars of each make and model, based on the value of the car and how much damage it sustains in accidents. Let C be a random variable that represents the cost of a randomly selected car of one model to the insurance company. The probability distribution of C is given below. The probability that the insurance company will have to pay a claim of at least $1000 for a randomly selected car is:
Answers
Answer:
The answer is "0.35"
Step-by-step explanation:
Please find the complete question in the attached file.
In the given table the distributions of probabilities provided is a continuous spread for both the random variable c.
They need to have a cumulative chance of receiving claims of 4000 or higher to determine the probability of an insurance company ending let's give claims of at least 4000.
So, The right equation for the answer will then be [tex]0.13 + 0.22=0.35[/tex]
Graph the line with the equation
y=1/2x-6
Answers
Answer:
Picture above
Step-by-step explanation:
This was created using Desmos, you can also use this to graph equations! It is online in a browser and a mobile app :)
Step-by-step explanation:
you go down 6 and put a dot there, and then you go up one and to the right 2, and put a dot there too. after, you just keep going up 1 right 2 and putting dots there, and you can also go down 1 to the left 2
That's it, I hope I helped! If I had a graph with me it would be way easier to explain, but I don't
Right answer will get brainlist
Answers
Answer:
x = -3
Step-by-step explanation:
System of equations has been given as,
y = 2x + 8
y = [tex]-\frac{2}{3}x[/tex]
Since, solution of the system of equations is the point of intersection on the graph.
Therefore, point of intersection or solution of the system will be,
(x, y) = (-3, 2)
This common point will satisfy both the equations.
And x = -3 will also both the equations.
this is the most simple problem and I can get it right. Please help!
Answers
A boat traveled 300 miles in 15 hours. What rate did the boat travel in miles
per hour?
1. 2
2. 20
3. 30
4. 285
Answers
Answer:
2.20 ms
Step-by-step explanation:
distance divided by time
300÷15=20
how to find future value?
Answers
Step-by-step explanation:
FV=$1000×(1+0.1)5
try solving with this it might help you and if it did please make me brainliest plzzzzxx
what expression is equivalent to (2.1x+4.3) - (-3x-7)
Answers
You are shopping for bicycles. You have saved $97 and you can save an extra $20 per week. How
many more weeks do you need to spend saving money if the type of bicycle you want costs at
least $185?
(b) Define your variables
(b) Write and inequality and solve
Answers
Answer:
multiple choice?
Step-by-step explanation:
what is an equivalent expression for (6 powered by 4)to -1 powered
Answers
Answer:
1/1,296
Step-by-step explanation:
[tex]( {6}^{4} )^{ - 1} = {6}^{ - 4} = \frac{1}{ {6}^{4} } = \frac{1}{1,296} \\ [/tex]