Please help I don't can't figure out the answer

There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track 19 people use the gym and the pool. 9 people use the pool and the track 16 people use the gym and the track, 4 people use all three facilities. Given that a randomly selected person uses at least two facilities, what is the probability they use all the facilities?​

Answers

Answer 1

Answer:

1/9

Step-by-step explanation:

4 people use all three facilities, then

16 - 4 = 12 people use the gym and the track and do not use the pool;

9 - 4 = 5 people use the pool and the track and do not use the gym;

19 - 4 = 15 people use the gym and the pool and do not use the track.

At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is 4/36


Related Questions

For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1? f (x) = StartFraction 2 x Superscript m Baseline Over x a EndFraction a = –1, m = 0 a = 1, m = 0 a = –1, m = 1 a = 1, m = 1.

Answers

Answer:

C. a= -1, m=1

Step-by-step explanation:

hope i helped, have a great day :)

For the function f(x) = [tex]\frac{2x^m}{ x + a}[/tex], if the horizontal asymptote is at y = 2 and vertical asymptote is at x = 1, then a = -1 and m = 1.

What are Asymptotes of a Function?

There are asymptotes like horizontal, vertical and oblique asymptotes.

Horizontal asymptote is the value of the function f(x) as x goes to ±∞, as long as this value is not infinity.

Vertical asymptotes are the values of x which are not in the domain of the function f(x). For a fractional expression it is found by letting the denominator equals zero.

The given function is,

f(x) =  [tex]\frac{2x^m}{ x + a}[/tex]

Horizontal asymptote of this function is at y = 2.

lim x → ∞ f(x) = 2

lim x → ∞  [tex]\frac{2x^m}{ x + a}[/tex] = 2

Eliminate 'a' in the denominator, because as x tends to infinity a + x also tends to infinity.

lim x → ∞  [tex]\frac{2x^m}{ x }[/tex] = 2

For the left hand side to become 2, [tex]x^m[/tex] in the numerator and x in the denominator should get cancelled.

⇒ [tex]x^m[/tex] = [tex]x[/tex]

⇒ m = 1

Vertical asymptote of the function is at x = 1.

Let x + a = 0

⇒ 1 + a = 0

⇒ a = -1

Hence we get the values a = -1 and m = 1 for the function f(x) =  [tex]\frac{2x^m}{ x + a}[/tex] to have the horizontal asymptote at y = 2 and vertical asymptote at x = 1.

To learn more on Asymptotes, click :

https://brainly.com/question/4084552

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If car number plates have 3 English alphabet letters followed by 3 digits, how many of these start with ABC?​

Answers

Answer:

351520000

Step-by-step explanation:

351520000

Explanation:

There are 10 possible digits for the numbers (0,1,2,...,9), and 26 possible letters (A,B,C,.....,Z).

Since repetitions are allowed, we have that for each letter used, 26 still remain for the next choice, and for each digit used, 10 still remain for the next choice.

Hence, by the multiplication principle, the total different number of letter permutations is  

26

×

26

×

26

=

17576

and the total number of digit permutations is  

10

×

10

×

10

=

1000

But now since they can be in any order, we basically require in how many different ways can 3 be chosen from 6 which is the combination

6

C

3

=

6

!

(

6

3

)

!

3

!

=

20

So for each of the original permutations of numbers and letters, we must consider the 20 different combinations of positions they can be in.

Therefore by the multiplication principle, the total possible different number plates is

17576

×

1000

×

20

=

351520000

How do you solve the equation 4a+b=12

Answers

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*a+b-(12)=0

Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4a+b-12 = 0 and calculate its properties

Notice that when a = 0 the value of b is 12/1 so this line "cuts" the b axis at b=12.00000

b-intercept = 12/1 = 12.00000

When b = 0 the value of a is 3/1 Our line therefore "cuts" the a axis at a= 3.00000

a-intercept = 12/4 = 3

Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 12.000 and for a=2.000, the value of b is 4.000. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 4.000 - 12.000 = -8.000 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -8.000/2.000 = -4.000

Geometric figure: Straight Line

Slope = -8.000/2.000 = -4.000 a-intercept = 12/4 = 3 b-intercept = 12/1 = 12.00000

Answer:

Step-by-step explanation:

Without having a numerical value for a (or b), you can't "solve this equation."

You can, however, solve it for either a or b, but not both.

For a:  Subtract b from both sides.  This results in 4a = 12 - b.  Dividing both sides by 4 isolates a:  

        12 - b

a = --------------

            4

For b:  Subtract 4a from both sides.  Then:   b = 12 - 4a

     

Write the phrase as an expression. Then evaluate when x=5 .

the sum of a number x and 4, all divided by 3

Expression:

When x=5, the value of the expression is :

Answers

Answer:

[tex]\frac{x+4}{3}[/tex] ; 3

Step-by-step explanation:

In this question, we're being asked to write an equation using the word format. Let's find key words in the statement.

The sum of a number x and 4, all divided by 3.

Looking at the wording, we can conclude that we are adding x and 4, and dividing that by 3. So here's how the phrase would look as an expression.

[tex]\frac{1}{3}[/tex] (x+4) or [tex]\frac{x+4}{3}[/tex]

Now, there's another part to this problem. We must evaluate the value of the expression if x is given to be 5. So let's plug it into our equations.

(5)+4

   3

    [tex]\frac{9}{3}[/tex]

9/3 gives you 3, so your answer would be 3.

Let me know if you see any errors or have any further questions, otherwise, I hope this helped! :)

Show all work

which of the following lines is parallel to 2y=3x-1?

a. y = 1/2x - 1
b. 2y = x - 3
c. 4y = 6x + 8
d. y = 3x + 4
e. 3y = 2x - 3

Answers

Answer:

c. 4y=6x+8

Step-by-step explanation:

For lines to be parallel, they must have the same slope. To solve this problem, we need to isolate the y on one side of the equation (putting the equation into slope intercept form).

The equation itself must be divided by 2 to do that. We end up with y=1.5x-0.5. We need to find another equation that has 1.5 as the slope.

b. y=0.5x-1.5

c. y=1.5x+2

d. y=3x+4

e. y=2/3x-1

As we can see, the only other equation with a slope of 1.5 is C. Therefore, C is our answer.

What is -3m + 5m = -14? With work provided

Answers

Answer:

-7

Step-by-step explanation:

-3m+5m=-14

2m=-14

divide both sides by 2

m=-7

Answer:-3+5m is -8m

Step-by-step explanation: Because the 3 is negative and it is plus

Find the equation of the line perpendicular to [tex]-\frac{1}{2} x[/tex] and passing through the point (−6; 1).

Answers

The slope is 2x
Y-1=2(x+6)
Y=2x+13 is the answer

⦿ Hi There! ⦿

Point-Slope form:

y-y1=m(x-x1)

y-1=m(x-(-6)

Perpendicular lines have slopes that are opposite reciprocals.

It means that if we have -1/2, we flop it over and make it positive.

So the slope of the new line is 2.

y-y1=m(x-x1)

y-1=2(x-(-6)

y-1=2(x+6)

y=1=2x+12

y=2x+12-1

y=2x+11

Hope it helps!

~Just a cheerful gal

#CarryOnLearning

Answered by

[tex]-SilentNature-[/tex]

Can someone please give me the (Answers) to this? ... please ...



I dentify the idlowing pairs. of angles.



1.<1 and <4

2.<1 and <5

3. <2 and <8

4.<4 and <5

5. <3 and <5

6.<3 and <6

7.<2 and <6

8.<1 and <8 /
/
<————-1——2—————>
3 / 4
5 / 6
<————————————>
7 / 8
/

Answers

                  1  / 2

<————---———————>

              3 / 4

            5 / 6

<————————————>

       7 / 8

ANGLE TYPES: Vertical, Adjacent, Linear, Complementary, Supplementary, Co-Interior, Alternate Interior, Alternate Exterior, Corresponding,

ANSWERS:

1. Vertical

2. Corresponding

3. Supplementary

4. Alternate Interior

5. Co-Interior

6. Alternate Interior

7. Corresponding

8. Alternate Exterior

I suck at math help ill give brainliest ​

Answers

Answer:

3

Step-by-step explanation:

5x + 40 = 55

5x = 55 - 40

5x = 15

x = 15 / 5

x = 3

in the difference in altitude between 2,993 feet on a mountain peak and −428 feet on a valley floor

what is the difference in altitude per feet

Answers

Is it 0 percent in feet

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x =  [tex]3\sqrt{2}[/tex]

Step-by-step explanation:

This is an isosceles triangle, so the missing side is also 3

x = [tex]\sqrt{3^2 + 3^2}[/tex]

  = [tex]\sqrt{9+9}[/tex]

  = [tex]\sqrt{18}[/tex]

Simplify [tex]\sqrt{18}[/tex]:

18 = 2 x 3 x 3

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3 * 3}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3^2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2} * \sqrt{3^2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]

-Chetan K

what is 15/4 as a whole number i've never been good at this and could us help

Answers

Answer:

3

Step-by-step explanation:

15/4=3 with a remainder of 3 . You take the 3 from your answer and it becomes the whole number.

What is the soultion to the following system of equations
{x+4y=-22
{3x-7y=29

Answers

Answer:

y= -1/4x - 11/2

y= 3/7x - 29/7

In 1903, the Wright brothers flew their first airplane. Sixty-six years later, a man walked on the moon. In which year did a man walk on the moon?
A. 1966
B. 1969
C. 1837
D. 1970

Answers

B. 1969

Step-by-step explanation:

Hope it helped you! :) (Please correct me if I'm wrong.)

Sean bought 1.8 pounds of gummy bears and 0.6 pounds of jelly beans and paid $10.26. He went back to the store the following week and bought 1.2 pounds of gummy bears and 1.5 pounds of jelly beans and paid $15.09. What is the price per pound of each type of candy?

Answers

Answer:

Gummy bears $3.20/lbs

Jelly beans $7.50/lbs

Step-by-step explanation:

For this we will substitute gummy bear price for "x" and jelly bean price for "y" which creates this system (also assuming there is no sales tax involved):

1.8x + 0.6y = 10.26

1.2x + 1.5y = 15.09

Then once solved, answers come out to be (x,y) = (16/5,15/2) which is (3.2,7.5)

or Solve this system of equations by graphing. First graph the equations, and then type the solution. y= 7/4 x–3 y=x

Answers

Answer:

[tex]y = \frac{7}{4} x - 3 \\ y = x \\ y = \frac{7}{4} y - 3 \\ y - \frac{7}{4} y = - 3 \\ - \frac{3}{4} y = - 3 \\ 3y = 12 \\ y = \frac{12}{3} \\ y = 4 = x[/tex]

F(x)=-x^2-12 to find (-3)

Answers

Answer:

[tex]{ \boxed{ \mathfrak{ \: answer : \: { \rm{f( - 3) = - 21}} }}}[/tex]

Step-by-step explanation:

[tex]{ \rm{f(x) = - {x}^{2} - 12 }}[/tex]

• When x is -3:

[tex]{ \rm{f( - 3) = - {( - 3)}^{2} - 12}} \\ \\ { \rm{f( - 3) = - 9 - 12}} \\ \\ { \rm{f( - 3) = - 21}}[/tex]

3m^2 + 5n; if m = -4 and n = -13

Answers

Answer:

3m^2 + 5n = 3

Step-by-step explanation:

3(16) + 5(-13) =

48 - 45 =

3

25 points and brainliest for correct answer pls

Answers

A = lw

A = 9

9 = lw

9 = (x + 2)(x + 3)

9 = x² + 3x + 2x + 6

9 = x² + 5x + 6

x² + 5x = 3

Answer:

A = lw

A = 9

9 = lw

9 = (x + 2)(x + 3)

9 = x² + 3x + 2x + 6

9 = x² + 5x + 6

x² + 5x = 3

Step-by-step explanation:

what is 84 divided by -12

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step expla

-7 times -12 is 84

PLEASE HELP QUICK!!

what is the slope of this line?

Answers

I think it might be D

Positive 3. Take a point (1,2), (2,5) and take the formula y2-y1/ x2-x1. 3/1 is slope.

Select all ratios equivalent to 3:5

Answers

6:10 , 9:15, 12:20 , and 15:25
3/5 6/10 9/15 12/20
15/25 18/30 21/35 24/40
27/45 30/50 33/55 36/60
39/65 42/70 45/75 48/80
51/85 54/90 57/95 60/100
63/105 66/110 69/115 72/120
75/125 78/130 81/135 84/140
87/145 90/150 93/155 96/160
99/165 102/170 105/175 108/180
111/185 114/190 117/195 120/200
123/205 126/210 129/215 132/220
135/225 138/230 141/235 144/240
147/245 150/250 153/255 156/260 159/265 162/270 165/275 168/280
171/285 174/290 177/295 180/300
183/305 186/310 189/315 192/320
195/325 198/330 201/335 204/340
207/345 210/350 213/355 216/360
219/365 222/370 225/375 228/380
231/385 234/390 237/395 240/400
243/405 246/410 249/415 252/420
255/425 258/430 261/435 264/440
267/445 270/450 273/455 276/460 279/465 282/470 285/475 288/480
291/485 294/490 297/495 300/500


Ratios can also be written in fraction form

help algebra 2 please

Answers

yung may dalawang one true answer promise

Answer:

Step-by-step explanation:

g(x) = -x² - x - 1 = -1(x² +x + 1)

[tex](\dfrac{f}{g})(x) =\dfrac{x^{2}+x+1}{(-1)(x^{2}+x+1}\\\\=\dfrac{1}{-1} = -1[/tex]

What is (-i)^3
A. -i
B. i
C. -1
D.1

Answers

Answer:

i

Step-by-step explanation:

=> -i³

=> (-1 . i )³

=> -1³ . i³

=> -1 [ i² . i ]

=> -1 [ (√-1)² . i ]

=> -1 [ -1 . i ]

=> i

Answer:

B: i

Step-by-step explanation:

Algebric explanation: as long as you remember power rules you should be good:

[tex](-i)^3 = (-1)^3\times i^3 = -1 \times i^2\times i= (-1)\times(-1)\times i=1i[/tex]

Geometric explanation: In the complex plane you can think "multiplying by i" as "rotate 1/4 counterclockwise". [tex](-1)^3[/tex] is a real number, and it's simply [tex]-1[/tex]. Rotate that ccw once, you're at [tex]-i[/tex]. Again, and you're at 1. third time (is really the charm!) you end up at [tex]i[/tex].

Polar explanation Courtesy of euler's identity.

[tex](-i)^3 = (e^{-\frac{\pi}2i})^3=e^{-\frac32\pi i}= cos (-\frac32\pi)+isin(-\frac32\pi) = 0+i(1)= i[/tex]

The cost of a pizza varies directly as the square of its radius. If a pizza with a 6 inch radius costs $8.00, how much should a pizza with an 11 inch radius cost? Round to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

14.7$

Is Scrooge a static or dynamic character? Explain your answer with examples from the story. Please be sure you do not use your book; only give examples from what you remember. Write at least three sentences.

Answers

Answer:

do u need help?

...uhmm...ok i will help u.....i-if t-thts o-ok with y-you i-guess

what is the perimeter, in grid units, of a regular octagon that has one side with endpoints (-4, -3) and (-4, 8)

Answers

Answer:

88

Step-by-step explanation:

Let's find the length of one side. The perimeter will be 8 times that since it's a regular octagon.

[tex]d= \sqrt{(-4+(-4))^2+(8-(-3))^2} = \sqrt{0^2+(11)^2}= 11[/tex]

Perimeter has to be [tex]8\times 11 = 88[/tex]

Find a trinomial for the area of the rectangular rug shown on the right whose sides are x+2 feet and 3x-1 feet.

Answers

The trinomial for the rectangular rug is 3x² + 5x - 2

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

A trinomial is a polynomial with three terms.

The area of a rectangle = length * width

Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2

Area of rectangle = 3x² + 5x - 2

The trinomial for the rectangular rug is 3x² + 5x - 2

Find out more at: https://brainly.com/question/18563587

5% of ______ is 10
_____ % of 100 is 12

Answers

Step-by-step explanation:

let the number represent X

5/100xx=10

5x/100=10

then you cross multiply

5x=100x10

5x=1000

divide both sides by 5

X=1000/5 =200

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

N

Step-by-step explanation:

Answer:

n

Step-by-step explanation:

Other Questions
Find a trinomial for the area of the rectangular rug shown on the right whose sides are x+2 feet and 3x-1 feet. density is 6g/mL and volume is 40 mL what is the mass Globalization is in which type of society?a.Hunting and Gathering b. Biotech c.Post-industrial d.Industrial Jerome makes and sells his own energy drinks. He mixes a liquid drink mix with water to create his own special blend. Jerome usually uses 8 cups of water and 3 cups of drink mix. Tomorrow, there is a road race in town, however, and Jerome thinks hell be able to sell a lot more of his energy drinks than usual. Jeromes brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. Jeromes sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio the same and still increase the total amount of energy drink. Who is correct: Jeromes brother or Jeromes sister? As you complete the task, keep this question in mind: Based on what you know about ratios, what do you think the answer will be? Directions: Complete each task, reading the directions carefully as you do. You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all your work and to answer each question as you complete the task. Type all of your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and on the completeness and accuracy of your explanations. Your teacher will give you further directions on submitting your work. You may be asked to upload the document, e-mail it to your teacher, or hand in a hard copy. Now lets get started! Step 1: Finding the part-to-part and part-to-whole ratios To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix. What is the ratio of water to drink mix? (2 points) What is the ratio of drink mix to water? (2 points) What is the ratio of drink mix to mixed energy drink? (2 points) What is the ratio of water to mixed energy drink? (2 points) Step 2: Testing Jeromes brothers approach Jeromes brother told him to add one cup of water for every one cup of drink mix he add what is 84 divided by -12 Customers at a gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the scenario.What is the slope of the line? Find the volume of the following prism. My surname is not Zhu in Chinese suitable electrolytes for fuel cells Select all ratios equivalent to 3:5 how was vietnam taken over during the imperialism. ( 1 paragraph) Show all workwhich of the following lines is parallel to 2y=3x-1?a. y = 1/2x - 1b. 2y = x - 3c. 4y = 6x + 8d. y = 3x + 4e. 3y = 2x - 3 WILL GIVE BRAINLIEST!!Which graph shows the following system of equations and its solution? { -2x -y = -5{ 2x - 3y = 1 Heyyyyyy wanna help me? yes? ok What does isfk mean in texting What is the soultion to the following system of equations {x+4y=-22 {3x-7y=29 What is the difference between Sunni and Shia? The cost of a pizza varies directly as the square of its radius. If a pizza with a 6 inch radius costs $8.00, how much should a pizza with an 11 inch radius cost? Round to the nearest hundredth. Can someone help me? I still don't understand this question. what is 15/4 as a whole number i've never been good at this and could us help