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.
How many people didn't use any facilities?

Answers

Answer 1

Answer:

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Answer 2

Answer:

n(U) = n(G)+n(S)+n(T)-n(GnS)-n(GnT)-n(TnS)+n(GnTnS) + n(GnTnS)^c

135= 73+59+31-19-9-16+4+ n(GnTnS)^c

no. of people not using any facility =12


Related Questions

wich calculation can be used to find the value of p in the equation p^3=8​

Answers

Answer:

The answer is 2

p³ = 8

p = ³√8

p = 2.

Which of the following terms is defined as 1/sin?

Answers

Answer: D) cosecant

• cosec θ = 1/sin θ
• sin θ = 1/cosec θ

Answer: cosecant

Formula's are:

Secant:

1/cos(x) = sec(x)

Cosecant:

1/sin(x) = cosec(x)

Cotangent:

1/tan(x) = cos(x)/sin(x) = cot(x)

HELP ASAP/NOW....NO LINKS OR JOKING

for which value of x is F(x)=0

A. 3

B. -5

C. -3

D. -6

Answers

Answer:

 D) -6

Explanation:

f(x) = 0 suggests the x value which will make the function zero.

Find slope:

⇒ (y₂ - y₁)/(x₂-x₁)

⇒ (2 - 1)/(-2-(-4))

⇒     1/2

Equation:

⇒ y - 2 = 1/2(x - (-2))

⇒ y = x/2 + 3

f(x) = x/2 + 3

If f(x) = 0

x/2 + 3 = 0

x/2 = -3

x = -6

14x - 12 = 16


PLS HELP HURRY

Answers

Answer:

[tex]\fbox {x = 2}[/tex]

Step-by-step explanation:

Given :

14x - 12 = 16

Add 12 to each side :

14x - 12 + 12 = 16 + 12

14x = 28

Divide each side by 14 :

14x/14 = 28/14

x = 2

x = 2

Why? Well, 14 x 2 = 28. 28 - 12 gives us 16, and would therefore prove the equation to be true. You could also solve this by adding 16 and 12 to get a total of 28. Then, you could have the expression 14x = 28. From there, you could divide 28 by 14 to get that, as mentioned earlier, x = 2.

If TU = 8, UV = 3x, and TV = x + 10, what is TV?

Answers

The value of TV is 11.

What is equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given:

TU= 8, UV = 3x and TV = x+10

TV= TU + UV

x +10= 8+ 3x

-2x = -2

x= 1

Hence, TV = 1+10= 11.

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translate the following to and expression 5 times the difference of a number and 12

Answers

Answer:

5(a-12)

Step-by-step explanation:

5(a-12)

does someone mind helping me with this question? Thank you!

Answers

Answer:

[tex]\bf -20[/tex]

Step-by-step explanation:

[tex]\bf 2(xy-7)[/tex]  [tex]\bf when[/tex]  [tex]\bf x=-1/y=3[/tex]

Substitute with x and y with 3:-

[tex]\bf 2\left(\left(-1\right)(3)-7\right)[/tex]

First, Multiply -1 and 3 = -3

[tex]\bf 2(-3-7)[/tex]

Subtract  7 from -3 = -10

[tex]\bf 2(-10)[/tex]

Multiply 2 and -10 = -20

[tex]\bf -20[/tex]

______________________

Solution :

2(xy - 7)

2((-1×3) - 7)

2(-3 - 7)

2 × -10

-20

PLEASE HELP ASAP!!!!!!
Right △EFG has its right angle at F, EG=8, and FG=2.

What is the value of the trigonometric ratio of an angle of the triangle?

Drag a value to each box to match the trigonometric ratio with its value.
TanE=
SinG=
SecG=

(4,1/4, 4√15/15, √15/15, √15/4)

(PLEASE ANSWER ASAP, ALSO IF YOU KNOW ANY OF THE OTHER ANSWERS TO THE PRE-CALUCLUS-TRIGONOMETRY SEMESTER TEST 6.04 PLEASE HELP!)

Answers

The values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .

What are Trigonometric Ratios ?

When a Triangle is a right angled Triangle then the ratios used to determine the sides and the angles of the triangle are called Trigonometric Ratio.

It is given that in triangle EFG , right angled at F ,

EG = 8 , FG = 2

By Pythagoras theorem

The length of EF is

8² = 2² + EF²

EF = √(64-4) = √60 = 2√15

The value of the trigonometric ratios is

sin E = Perpendicular / Hypotenuse

sin E = 2 / 8 = 1/4

sin G =  2√15 / 8 = √15 / 4

sec G = 1 / cos G = Hypotenuse / Base = 8 / 2 = 4

Therefore the values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .

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if x = 5 and y = 2 , work out the value of a) 3x+y b) 2x squared c) ( x-y) 2 squared out of the brackets

Answers

Answer:

a) 17

b) 50

c) 6

Step-by-step explanation:

a) 3x+y

3(5)+2

15+2

17

b) 2x²= 2×5²

2×25

50

c) (x-y)2= (5-2)2

(3)2

3×2

6

jackie brought 9 plants ​

Answers

Answer:

I think its the thrid one because it is the only one with the correct top equation(I can't see the rest)

Step-by-step explanation:

the equation that represents the canned goods order is 24x+64y=384
x= number of minutes fruit cans
y= number minutes of for vegetable cans
explain how to calculate the x- and y- intercepts

Answers

The x-intercept is (16, 0) and y- intercept is (0, 6).

What is intercept?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given: 24x+64y=384

For y- intercept, put x=0

Then,

24*0+64y=384

64y= 384

y= 6

Now, for x- intercept put y=0

Then,

24x+64*0=384

24x= 384

x= 15

Hence, the x-intercept is (16, 0) and y- intercept is (0, 6).

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Answer:

Sample Answer: Substitute 0 for the x-value in the equation and solve for y. The result is y = 6, so the y-intercept is at (0, 6). Next, substitute 0 for the y-value in the equation and solve for x. The result is x = 16, so the x-intercept is at (16, 0).

Step-by-step explanation:

Angelina's family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and
hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?
A. The ordered pair (-3, 6) is viable.
B. The ordered pair (7, 2) is viable.
C. The ordered pair (15,-7) is viable.
D. The ordered pair (18,3) in non viable

Answers

The ordered pair (7,2) is viable and Option B is the correct answer.

What is Relationship ?

Relationship between variables defines the way one variable is dependent upon the other variable.

It is given that x is the number of visitors and y is the number of winners,

It has to be seen and chosen that which ordered pair makes sense

The ordered pair is viable if the no. of visitor is positive and more than the number of winners.

Therefore ordered pair (7,2) is viable and Option B is the correct answer.

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Does this graph show a function? Explain how you know.

Answers

Answer:

No, the graph fails the vertical line test

Step-by-step explanation:

To determine if the graph is a function, we can use the vertical line test.

Use a vertical line, if the vertical passes through two or more points, the graph is not a function

Looking at the y axis ( which is a vertical line), it passes through two points

This means the graph is not a function

No, the graph fails the vertical line test

Which of the following have exactly 1 solution?
Choose all answers that apply.
A. -5x + 12 = -12x - 12
B.-5x+12=-5x-12
C. −5x+12=5x+12
D. −5x+12=5x−5

Answers

The equations;

-5x + 12 = -12x - 125x+12=-5x-12−5x+12=5x+12−5x+12=5x−5 all have exactly 1 solution.

What is a linear solution?

A linear equation is one in which there is only one solution. In a linear solution, the highest power of x is 1.

If we look at the equations listed, we will discover that they are all linear equations, as such;

-5x + 12 = -12x - 125x+12=-5x-12−5x+12=5x+12−5x+12=5x−5

Will all have exactly 1 solution.

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Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2).

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: y= - \cfrac{x}{ 3} + 1 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Equation of line (two point form) :

[tex]\qquad \tt \rightarrow \: (y - y_1) = \cfrac{y _1- y_2}{ x_1 - x_2} (x - x_1)[/tex]

[tex]\qquad \tt \rightarrow \: (y - 2) = \cfrac{2 - ( - 1)}{ - 3 - 6} (x - ( - 3))[/tex]

[tex]\qquad \tt \rightarrow \: (y - 2) = \cfrac{2 + 1}{ - 9} (x + 3)[/tex]

[tex]\qquad \tt \rightarrow \: (y - 2) = - \cfrac{3}{ 9} (x + 3)[/tex]

[tex]\qquad \tt \rightarrow \: (y - 2) = - \cfrac{1}{ 3} (x + 3)[/tex]

[tex]\qquad \tt \rightarrow \: y - 2= - \cfrac{x}{ 3} - \cfrac{3}{3} [/tex]

[tex]\qquad \tt \rightarrow \: y = - \cfrac{x}{ 3} - 1 \cfrac{}{} + 2[/tex]

[tex]\qquad \tt \rightarrow \: y = - \cfrac{x}{ 3} + 1[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

value of in the equation a=2+3+10

Answers

[tex]\huge{\boxed{\mathfrak{ANSWER}}} [/tex]

[tex]a=2+3+10[/tex]

[tex]a = 15 [/tex]

[tex]\huge \pink {\overline{ \quad \quad \quad \quad \quad \quad \quad\quad \quad}}[/tex]

Solve the system of equations: 3x + 6y=6 and 2y - 3x = 6.

Answers

Answer:

x = -1, y = 1.5

Step-by-step explanation:

3x + 6y = 6 -----> x + 2y = 2

-3x + 2y = 6 -----> -3x + 2y = 6

------------------

4x = -4

x = -1, y = 1.5

Name
Two-Variable Statistics
Relationship between Two Categorical Variables - Marginal and Joint Relative Frequency -
Part 2
Warm Up
Complete the table and calculate the percent for each total.

Answers

The completed table is given below,

the percentage of girls in the class is 47.62%,

the percentage of boys in the class is (100-47.62)% = 52.38%,

the percentage of students that love Math is 36.5%,

the percentage of students that love Reading is 22%, and

the percentage of students that love Science is 41.27%

To make comparison and statistical analysis easier, numerical data is systematically and logically represented in tabulations as rows and columns. Grouping relevant data together makes comparison easier and aids in statistical analysis and interpretation.

To put it another way, tabulation is the process of organizing data and presenting it in a tabular format. Depending on the type of categorization, it might be double, complicated, or simple.

The below table yields that

The total number of students is 315

The fraction of girls in the class is 150/315 = 0.4762

So, the percentage of girls in the class is 47.62%

Hence the percentage of boys in the class is (100-47.62)% = 52.38%

The fraction of students that love Math is 115/315 = 0.365

So, the percentage of students that love Math is 36.5%

The fraction of students that love Reading is 70/315 = 0.22

So, the percentage of students that love Reading is 22%

The fraction of students that love Science is 130/315 = 0.4127

So, the percentage of students that love Science is 41.27%

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The frequency table shows the results asking people how many hours they spend online per week

Answers

The histogram is attached with the answer.

What is a Histogram ?

It is a mathematical representation of data in a bar shaped graph , the range is user defined.

The histogram is drawn and the shape of the histogram is left skewed as the peak of the graph lies to the left of the centre.

The histogram is attached with the answer.

The complete question is

the frequency table shows the results of a survey that asked people how many hours they spend working in the yard per month. display the data in a histogram. describe the shape of the distribution

The data is attached with the answer.

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Add2√3+√5 and√3 -3√5​

Answers

Answer:

[tex] \sqrt[2]{3} + \sqrt{5} = \sqrt[2]{8} [/tex]

[tex] \sqrt{3 } - \sqrt[3]{5} = \sqrt[3]{2} [/tex]

Solve for x.
2 In ( x + 6 ) = 10​

Answers

Corrected question :

Solve for x. 2 ( x + 6 ) = 10

Solution :-

>> 2 ( x + 6 ) = 10

Multiplying 2 into (x + 6),

>> 2 × (x + 6) = 10

>> 2x + 12 = 10

Transposing 12 to R.H.S. (Remember that sign would be changed to negative),

>> 2x = 10 - 12

>> 2x = -2

Dividing them,

>> x = -2 / 2

>> x = -1

Answer:

[tex]\displaystyle{x=e^5-6}[/tex]

Step-by-step explanation:

Given the equation:

[tex]\displaystyle{2\ln (x+6)=10}[/tex]

Divide both sides by 2:

[tex]\displaystyle{\ln (x+6)=5}[/tex]

Convert to exponential form using the property of:

[tex]\displaystyle{\ln M = N \to e^N = M}[/tex]

Henceforth, we will have [tex]\displaystyle{e^5=x+6}[/tex] then subtract both sides by 6:

[tex]\displaystyle{x=e^5-6}[/tex]









A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car
can travel on 7 gallons of gas?

Answers

Answer:

147 miles

Step-by-step explanation:

The first step is to find the number of miles traveled per gallon of gas

63 miles / 3 gallons = 21 miles per gallon

Take the rate and multiply by the number of gallons used to get the distance traveled

d = r * g

d = 21 * 7

d =147

The distance traveled is 147 miles

Need the answer to the question

Answers

cannot be determined

What do the differences between the points (as shown on the graph) represent?

On a coordinate plane, point B is at (2, 7) and point D is at (4, 14).

Answers

The slope of the graph

14-7/4-2=7/2=3.5

Select the correct answer.
What is the value of this expression?
(10-4i) (4-5i) + (-15 + 20i)

Answers

Answer:

5-46i

Step-by-step explanation:

first multiply your (10-4i)(4-5i) so that would be 20-66i when simplified. then add that to -15+20i so it would look like 20-66i+(-15+20i). then simplify and you should get 5-46i.

on a number line point D is at -6 and point E is at 8 point F lies between points D and E if DF:FE is 3:1 where does point F lie on the number line

Answers

The point F lies on 4.5 in the number line.

Number line is a One dimensional representation of point referring by a number only.

We know that if a point divides a line joining the points at x,y in the number line respectively in m:n ratio then that point lies on = (my+nx)/(m+n) in the number line.

Here in the give problem that,

Point D lies on -6 in number line

Point E lies on 8 in number line

And F lies between D and E points and DE:EF = 3:1

So the point F clearly divides the staright line DE joining the point D at -6 and E at 8 in 3:1 ratio.

So the point F lies on = (1*(-6)+3*8)/(3+1) = (-6+24)/4 = 18/4 = 4.5

Hence the point F lies on 4.5 in the number line.

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Answer: 4.5

Step-by-step explanation:

PLEASE HELP ME WITH THIS ASAP

Answers

Eddie: $10-3=$7
Marsha: $8+$3=$11

What is the sum of the polynomials?
(6x+7+x²) + (2x²-3)
-x²+6x+4
3x²+6x+4
9x + 4
9x² +4

Answers

Answer:

3x^2 + 6x + 4

Step-by-step explanation:

6x + 7 + x^2 + 2x^2 - 3 = 3x^2 + 6x + 4

Answer:

3x²+6x+4

Step-by-step explanation:

Given:

(6x+7+x²) + (2x²-3)

Aim:

To add the polynomials

Solution:

Removing brackets first:

6x+7+x²+2x² - 3

Collecting like terms to each other,

6x+7-3+2x²+x²

Simplifying,

6x+4+3x²

Rewriting it as,

3x²+6x+4

Second choice is accurate.

A building 190 feet tall casts a 90 foot long shadow. if a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building

Answers

Answer:

About 64.65 degrees

Step-by-step explanation:

[tex] \tan(x) = \frac{190}{90} [/tex]

[tex]x = { \tan}^{ - 1} \frac{190}{90} = 64.65[/tex]

Make sure your calculator is in degree mode.

Find the value of x, given that the two triangles are similar.​

Answers

Answer:

10.5 is the correct answer.

Step-by-step explanation:

Due to the fact Triangle CAB has "6" as its length, and Triangle FDE has "2" as its length, you multiply 3.5 and 3.

3.5 x 3=10.5

2 x 3=6

3.5/2=10.5/6, so the answer is 10.5.

Answer:

x = 10.5 cm

Step-by-step explanation:

Find the value of x, given that the two triangles are similar.

Given that the two triangles are similar we can solve with a proportion

6 : 2 = x : 3.5

x = 6 * 3.5 : 2

x = 21 : 2

x = 10.5

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