There are 130 people in a
sport centre.
73 people use the
gym.
62 people use the swimming pool.
58 people use the track.
22 people use the gym and the pool.
29 people use the pool and the track.
25 people use the gym and the track.
11 people use all three facilities.
A person is selected at random.
What is the probability that this
person doesn't use any facility?

Answers

Answer 1

Answer:

If 11 people use all three facilities, this means:

22 − 11 or 11 are using the gym and the pool but no the track,

29 − 11 or 18 are using the pool and the track but no the gym,

25 − 11 or 14 are using the gym and the track but no the pool.

How many people use the gym only?

130 − (14 + 11 + 11) = 94

How many people use the pool only?

62 − (18 + 11 + 11) = 22

How many people use the track only?

58 − (14 + 11 + 18) = 15

How many people go in for sports?

94 + 22 + 15 + 11 + 14 + 18 + 11 = 185

How many people use exactly one of the facilities?

94 + 22 + 15 = 131

What is the probability that the person uses exactly one of the facilities?

= 131/185 ≈ 0.7081

Step-by-step explanation:

its a bit confusing

Hope It Helps !!!!


Related Questions

If you vertically stretch the exponential function f(x)=2^x by a factor of 3 what is the equation of the new function

Answers

The new equation will become f(x) = 3([tex]2^{x}[/tex]).

The given information is the stretch factor which is 3 and the equation f(x)=[tex]2^{x}[/tex].

When there is a vertical strecth factor, you need to multiply the equation by the stretch factor.

By stretching the function, the value of y has to be multiplied by 3, will now be equal to 3f(x)

The new equation will become f(x) = 3([tex]2^{x}[/tex]).

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Fill in the table.
x y
-4 5
-2 3
0 1
2 -1
4 -3


This is a linear function which means that the domain and range are:
Domain:
Range:
*Reminder: another way to write negative infinity to positive infinity is
"all real numbers"

Answers

The domain of the linear function is a real number, and the range of the linear function is also a real number.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The table is given below.

  x               y

 -4              5

 -2              3

  0              1

  2             -1

  4             -3

Then the linear function will be

y – 1 = [(5 – 1) / (- 4 – 0)] (x – 0)

y – 1 = -x

x + y = 1

Then the domain of the linear function is a real number and the range of the linear function is also a real number.

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PLEASE HELP ASAP!!!!
The polar equation r=7sin(2θ) graphs as a rose.

What is the length of the petals of this rose?

Enter your answer in the box.

Answers

Answer:  7 units

============================================================

Explanation:

r = distance from the origin (0,0) to a point on the polar curve

To find the length of the flower petal, we need to max out r (i.e. get it as large as possible).

Recall that sin(x) maxes out at 1, so that also applies to sin(2θ) as well.

Therefore, r = 7*sin(2θ) maxes out at r = 7*1 = 7 and this is the length of each petal. Basically it's the number out front of the sine term.

The graph is shown below. To type the symbol θ into desmos, you need to type "theta" without quotes.

answer both questions please

Answers

Answer: The two imaginary solutions with rational coefficients are +/- 4i and the two imaginary solutions with irrational coefficients are +/- 1.414213562i.

Step-by-step explanation:

I would recommend using pascal's triangle to solve this problem.

*Note: This is more of a quick answer, I can show a detailed step-by-step procedure if you need, just comment.

can someone please help and explain these problems ??

Answers

Answer:

AAA

Step-by-step explanation:

yesss

Which point has coordinates (5,-7pi/6)?

Point A
Point B
Point C
Point D

Answers

The answer is Point C

please help me
i'll mark u as brainiest if u get it right

Answers

Answer: a) 46 minutes
               
b) 10:47

The basic knowledge for this is that 60 minutes = 1 hour

a) Question a asks for how long it took from a 10:34 bus from Mosley to reach Bamford. From the table you can see that the 10:34 bus reaches Bamford at 11:20. All you have to do is count from 10:34 to 11:20.
10:34 will become 11:00 at 10:60 right? Clock's generally don't show 10:60 but goes directly to 11:00 after 1 minute is passed at 10:59. So from 10:34 to 11:00, it takes 26 minutes. Remember the bus reaches at 11:20 so from 11:00 to 11:20, it takes 20 minutes. Now add them up:
26 minutes + 20 minutes = 46 minutes

Here you go! Total 46 minutes from Mosley to Bamford.

b) From question b, we can see that Trina did not ride the first bus or by any chance missed it because the bus left at 10:14 and she is at the station at 10:15. Now think it from your perspective! You missed the first bus and you are in a big rush. So to reach your destination as early as possible, you will obviously take the next earliest bus. The next bus is at 10:24 (Belton). So if we take the 10:24 bus in Belton, it reaches at 10:47 in Garton.


 ∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
   hope it helped
┗━━━━━━━┛

Hi, please help me find the volume of this sphere :)

Answers

Answer: 8788

Step-by-step explanation:

Use the formula and use 3 for pi

13cm is the radius

[tex]13^{3\\[/tex] = 2197

2197 x 3 = 6591

6591 x 4/3 = 8788

factorise
answer is (a+c) (ca-b²)​

Answers

Answer:

Step-by-step explanation:

(18 ÷ 2) × (56 ÷ 7) =

Answers

9 x 8 = 72
do what’s in the parentheses first and then just multiply

Answer: 72

Step-by-step explanation:

Step 1: Divide 18 and 2, which is 9

Step 2: Divide 56 and 7, which is 8

Step 3: Multiply 9x8 and get 72

Dry concrete can be made by mixing sand, gravel and cement
in the ratio 1: 2: 3. If you want 1800 kg of dry concrete,
how much of each will you need? Give your answers in
kilograms (kg).

Answers

Sand is 1/6 of the mixture. 1/6 x 1800 = 300 kg
Gravel is 2/6 of mixture. 2/6 x 1800 = 600 kg
Cement is 3/6 of mixture. 3/6 x 1800 = 900 kg

A ratio shows how many times one number contains another.

Hence, the sand is in the ratio [tex]\frac{1}{6}[/tex] of the mixture is

[tex]\frac{1}{6}[/tex]×[tex]1800=300kg[/tex]

The Gravel is in the ratio [tex]\frac{2}{6}[/tex]×[tex]1800=600kg[/tex]

And the cement is in ratio [tex]\frac{3}{6}[/tex]×[tex]1800=900kg[/tex]

What is the ratio ?

A ratio is an ordered pair of numbers [tex]a[/tex] and [tex]b[/tex], written [tex]\frac{a}{b}[/tex] where [tex]b[/tex] does not equal [tex]0[/tex]. A proportion is an equation in which two ratios are set equal to each other.

Here the given ratio is [tex]1:2:3[/tex].

Here given that,

The dry concrete is   [tex]1800kg[/tex].

And the multiplication of the ratio is [tex]1[/tex]×[tex]2[/tex]×[tex]3=6[/tex]

Hence, the sand is in the ratio [tex]\frac{1}{6}[/tex] of the mixture is

[tex]\frac{1}{6}[/tex]×[tex]1800=300kg[/tex]

The Gravel is in the ratio [tex]\frac{2}{6}[/tex]×[tex]1800=600kg[/tex]

And the cement is in ratio [tex]\frac{3}{6}[/tex]×[tex]1800=900kg[/tex]

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What is this Simplify as √16y¹6

Answers

Answer:

[tex]6y^1^6[/tex]

Step-by-step explanation:

I hope this has Helped :)

#5 In *triangle* ABC, AB = 9 and BC = 15. What is the range the possible lengths for CA?
Why?

Answers

CA must be in the range [15 - 9, 15 + 9] = [6, 24]
For the line segments to form a triangle the length of CA cannot be less the the difference between the other sides or greater than their sum.
At either extreme the three points A, B and C will be co-linear thus forming a triangle with area of zero

f) 234x +(234x)⁰ (x0)

Answers

Answer:

the answer is 0

Step-by-step explanation:

because anything multiply by 0 is 0.

Can make me the brainliests answerer?Please

A square with side lengths 12 feet. 4 2 feet by 2 feet squares are cut out of each corner of the square.
Tariq designed the pool shown. The owner of the pool has one square cover to use. Find the area of the space that needs to be covered. (The four corners are squares.)

The area that needs to be covered is

ft2.

Answers

Answer:

132ft^2

Step-by-step explanation:

The loudness, L, measured in decibels (Db), of sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?

Answers

The correct option is Option D: the approximate loudness of a dinner conversation will be 50Db with a sound intensity 10⁻⁷.

The loudness L, ( which is measured in decibels (Db)), of the sound of the intensity I, can be calculated in watts per square meter,

L = 10 log(I/I₀)  

where I₀ = 10⁻¹²  which is the least intensity that a human can hear.

The sound intensity of a dinner conversation= I= 10⁻⁷

Loudness L of that conversation = 10 log (10⁻⁷/10⁻¹²)

= 10 log(10⁻⁷⁻⁽⁻¹²⁾)

= 10 log(10⁻⁷⁺¹²)

= 10 log(10⁵)

= 10*5

= 50 Db

Therefore the correct option is Option D: the approximate loudness of a dinner conversation will be 50Db with a sound intensity 10⁻⁷.

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the photography club has 36 memebers, 16 girls and 20 boys. what is the ratio of girls to boys in the photography club?


A. 5:6
B. 4:5
C. 5:4​

Answers

Answer:

4:5

girls:boys

16:20

divide both by 4

4:5

Answer: B) 4:5

Step-by-Step Solution:

Total No. Of Members = 36
No. Of Girls = 16
No. Of Boys = 20

Ratio of Girls to Boys
= 16/20
= 8/10
= 4/5
=> 4:5

Correct Option is C) 4:5

46. Geometry The volume of a cube is a function of the length of a side of the cube. Write a function for the volume of a cube. Find the volume of a cube with a side 13.5 cm long.​

Answers

Answer:

1/3×22/7×r^2h

Step-by-step explanation:

the volume =1/3 ×22/7×r^2×13.5

Complete the statements about the cross sections of cylinders and cones.
The cross section parallel to the base of a cone is a
The cross section parallel to the base of a cylinder is a
The cross section perpendicular to the base of a cone is a
The cross section perpendicular to the base of a cylinder is a

Answers

The cross-section parallel to the base of a cone is a circle

The cross-section parallel to the base of a cylinder is a circle

The cross-section perpendicular to the base of a cone is a triangle

The cross-section perpendicular to the base of a cylinder is a rectangle

PLEASE HELP MAX POINTS AND BRAINLIEST!!!
(04.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

f(d) = 7(1.06)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 13.29 mm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)

Part C: What is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent? (4 points)

Answers

#1

As d is days

So days can't be negative

hence domain is W or Whole numbers set.

But according to the equation

y=7(1.06)^d13.29=7(1.06)^d1.06^d=1.898dln1.06=ln1.898d=1.79

Round to next whole as it's no of days

d=2

Domain=[2,oo)

#b

Put d=0

f(0)

7(1.06)^(0)7

It passes through (0,7)

But 0 is not in domain ,hence no y intercept in real

#C

f(11)

7(1.06)¹¹13.28

f(4)

7(1.06)⁴8.83

Rate of change

f(11)-f(4)/11-413.28-8.83/70.6

It represents change in radius

3. Use the following diagram to solve for x.

Answers

The value of x from the given diagram is -6

Lines and angles

Line is defined as the distance between two points. Given the line RP with the following measures

RP = 17

RQ = x + 14

QP = x + 15

Using the expression

RP = RQ + QP

Substitute

17 = x + 14 + x + 15

17 = 2x + 29

Determine the value of x

2x = 17 - 29
2x= -12

x = -6

Hence the value of x from the given diagram is -6

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Justin and elena each launched a toy rocket into the air. the height of justin’s rocket is modeled by the equation h = –16t2 60t 2. elena launched his rocket from the same position, but with an initial velocity double that of justin’s. which equation best models the height of elena’s rocket? h(t) = at2 vt h0 h = –16t2 60t 4 h = –32t2 120t 4 h = –32t2 60t 2 h = –16t2 120t 2

Answers

I don’t know you just have to add and keep adding them

What is 850,000,000,000,000,000 divided by 860,000,000,000,000,000,000,000

Answers

the answer would be 9.88372093e-7

1 )Simplify.

[tex]\frac{850000000000000000}{8.6E}[/tex]+23

2 )Answer

9.88372093e-7

The two dot plots below compare the forearm lengths of two groups of schoolchildren:

Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group A and the title for the bottom plot is Forearm Length, Group B. Below the line for each dot plot is written Length followed by inches in parentheses. There are markings from 9 to 12 on each line at intervals of one. For the top line there are 3 dots above the second mark, 4 dots above the third mark and 3 dots above the fourth mark. For the bottom line there are 3 dots above the first mark, 5 dots above the second mark, and 2 dots above the third mark.

Based on visual inspection of the dot plots, which group appears to have the longer average forearm length?

Group A, because seven children have a forearm length longer than 10 inches
Group B, because two children have a forearm length longer than 10 inches
Group A, because one child in the group has the least forearm length of 9 inches
Group B, because three children in the group have the least forearm length of 9 inches

Answers

Answer:

Group A, because seven children have a forearm length longer than 10 inches

Step-by-step explanation:

Create the dot plots based on the given information (please see attached images).

Group A = blue dots

Group B = red dots

From inspection of the attached dot plots, we can see that Group A appears to have the longer average forearm length.  This is because 7 children have a forearm length of longer than 10 inches.

To calculate the average forearm length, sum all data values and divide by the total number of data values.

[tex]\textsf{Average of Group A}=\dfrac{ 3 \times 10 + 4 \times 11 + 3 \times 12}{10}=11[/tex]

[tex]\textsf{Average of Group B}=\dfrac{ 3 \times 9 + 5\times 10+ 2\times 11}{10}=9.9[/tex]

Thus proving that Group A has the longer average former length.

According to given text data

Average of both groups

A:-

10(3)+11(4)+12(3)/1030+44+36/1066+44/10110/1011

B:-

9(3)+5(10)+11(2)/1027+50+22/1049+50/1099/109.9

Group A has bigger average

Domain and range of f(x)=3x^2-9x+8

Answers

The range of the function lies between (0,8) to (1.5,1.25).

What are domain and range?

Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The given function is:-

f(x) = 3x² -9x + 8

The value of the range will be from (0,8) to ( 1.5,1.25). When we plot the graph of the function the value of the range lies between the points (0,8) to ( 1.5,1.25). The graph is attached with the answer.

The domain of the function will be all the values of the real numbers for the function ranges from ( 0, ∞ ).

Therefore the range of the function lies between (0,8) to (1.5,1.25).

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This year, a small business had a total revenue of $40,700. If this is 26% less than their total revenue the previous year, what was their total revenue the previous year?

Answers

26% less than a value is best found by multiplying by (100 - 26)% = 74% = 0.74
So previous year x 0.74 = 40,700
Previous year = 40,700 / 0.74 = $55,000

What is the range of the function shown
in the graph?

Answers

Choice B. Y value max is 8 and it goes down from there, so 8 is the greatest value it can be.

your favorite basketball player has an 90% free-throw percentage. In the next game that s/he plays they shoot 12 free throws. What is the probability that they make all 12

Answers

The probability that favourite basketball player make all 12 is 0.

Give 90% free- throw percentage of favourite basketball player and he has taken 12 shots in the game.

Probability is the chance of happening an event among all the events possible. It lies between 0 and 1.

This is a binomial probability question "makes" is what some writer call a "success". In the binomial probability distribution, the probability of r successes in trials is :

=[tex]nC^{r}[/tex][tex]p_{r}p^{r}(1-p)^{n-r}[/tex]

p is the probability of "success" n p r=n!/((n-r)!

n [tex]p_{n}[/tex]=0

In this problem , n=12, r=12,p=0.9. the probability of exactly 12 made shots out of 12 attempted is 12[tex]C_{12} (0.90)^{12} (1-0.90)^{0}[/tex].

=12!/12!(12-12)!*[tex](0.90)^{12}(0.10)^{0}[/tex]

=0

Hence the probability that they make all 12 is 0.

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The geometric sequence graphed shows the number of mold spores in a Petri dish per day (please help!)

Answers

Answer:

f(1) = 2

f(n) = 2 × f(n - 1) , n ≥ 2

Step-by-step explanation:

the point of coordinates (1 , 2) is on the graph

Then

f(1) = 2

…………………………

We notice that :

f(2) = 4

f(3) = 8

f(4) = 16

16/8 = 8/4 = 4/2 = 2/1 = 2

________________________

This means the common ratio

of the geo sequence = 2

Hence ,

f(n) = 2 × f(n - 1)

Answer: f(n) = 2 × f(n - 1) , n ≥ 2

Step-by-step explanation:

What is
-8/15of21/12

Answers

32
——- (after reducing the fraction)
105
Explanation: find reciprocal of divisor:
21/12 : 12/21
Multiply dividend:
8/15 divide21/12=8/15x12/21=
8 x12
———= 96/315
15x21
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