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?
Thank you in advance. :)

Answer:

8

Step-by-step explanation:

because we know its an isosceles triangle angle A and C will both be the same and since we know A = 69 C will also be 69. we also know that angles in a triangle add to 180 so take away the two 69s from the 180 to get 42

then we work backwards if its 5x + 2 then we need to do 5x - 2 to get 40 then divide it by 5 to get your answer 8!

(sorry if the explanation doesnt make sense )

Answer: 46%

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The price of a movie ticket ten years ago (6.50) multiplied by a percentage in decimal form (x) is equal to 9.50.

6.50x = 9.50

Solving for x  

x =9.50/6.50

x = 1.46

Multiplying by 100 to obtain the percent form:

1.46 x 100 = 146%

Finally we have to subtract 100 to obtain the percent increase:

146-100 = 46%

Feel free to ask for more if needed or if you did not understand something.

Answer: 36 square feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]a^2+b^2=c^2\\14^2+x^2=c^2\\14^2=196\\39^2=1521\\x^2=1521-196\\=1325\\\sqrt{1325} \\x=36.4ft[/tex]

Answer: 277/12

Step-by-step explanation:

Use the order of operations or pemdas (parenthesis, exponents, multiplication, division, addition, subtraction) to solve this equation:

3 / 6^2 +7 x 4 - 5        

there are no parenthesis, so exponents

= 3 / 36 + 7 x 4 - 5            

now multiplication and division(from left to right)

= 3 / 36 + 7 x 4 - 5

= 1/12 + 28 - 5                  

addition and subtraction are next(it doesn't matter the order in this case):

1/12 + 23

=  1/12 + 276/12

= 277/12

i hope this helps

Answer:

volume of cone is 285

volume of cylinder is 95

Step-by-step explanation:

Answer:

Quotient of a number and 3 = x/3

Ten less the quotient of a number and 3 will equal 6

So...

10 - x/3 = 6

    + x/3      +x/3

10 = x/3 +6

-6              - 6

3 × 4=(x/3) × 3

12 = x

Answer:

The number is 48

Step-by-step explanation:

The number be x

Quotient of the number and 3 : x/3

Ten less the quotient of the number and x :  x/3 -10

[tex]\frac{x}{3}-10=6\\\\\frac{x}{3}=6+10\\\\\frac{x}{3}=16\\\\x=16*3\\\\x=48[/tex]

Answer:

A. Securing venture capital

Answer: getting debt financing

Step-by-step explanation:

Answer:

1/758

Step-by-step explanation:

Part/whole

Answer:

1/758

Step-by-step explanation:

hope that helps

Answer:

452.4 cm

Step-by-step explanation:

the formula for the area of a circle is A = pi r^2

Answer:

option A

Step-by-step explanation:

From the picture, we can see that:

Answer:

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

Step-by-step explanation:

The above equation is written in point slope from. To find the slope of a line perpendicular to another line all you have to do is find the opposite reciprocal to the slope of the original line. The original line's slope is 1/2, the reciprocal is 2/1 and to create the opposite reciprocal you have to change the sign of the slope, so the new slope is -2/1. To finish the rest of the equation you plug in the points given to you in the question.

Answer:

Step-by-step explanation:

First, since the line is perpendicular to the given one, the slopes are negative reciprocals. The slope of the equation we must write is -2.

Now, we can set up point slope form:

y-y1 = m(x-x1)

y + 1 = -2(x - 6)

Now, we can change that to slope intercept form:

y + 1 = -2(x - 6)

y + 1 = -2x + 12

y = -2x -11

Hope this helped :)

The standard equation of a unit circle is

x²+y²=1

So, if we want a radius of 4, we need to square it.

so we have x²+y²=16

Answer:

x^2 + y^2 = 16

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x-0)^2 + (y-0)^2 = 4^2

x^2 + y^2 = 16

Answer:

D

Step-by-step explanation:

you can just find the value of y and try some number of x

i.e. if x = 0, both of them will be 0

x = 1

G(x) result is -2

F(x) result is 1

x= -1

G(x) result will be 2

F(x) result is -1

so from these we can prove that G(x) is bigger graph than F(x) but flip vertically by y axis

Answer:

14,300 ft

Step-by-step explanation:

Here are the following perimeters rounded to the nearest hundred:

5534 rounds down to 5500

1666 rounds up to 1700

1566 rounds up to 1600

5534 rounds down to 5500

The sum of these is the following:

5500 ft + 1700 ft + 1600 ft + 5500 ft = 14,300 ft

Answer:

False

Step-by-step explanation:

A perpendicular line parallel to the y- axis has equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (1, 5) with x- coordinate 1, thus

x = 1 ← equation of perpendicular line

Answer:

B. False

Step-by-step explanation:

I hope this helps!

Short version of the answer.

Answer:

g(4) = 157

Step-by-step explanation:

g(x) = 8x^2 + 9x - 7

Let x  =4

g(4) = 8 * 4^2 +9*4 -7

       =8*16 +36 - 7

        =128+36-7

        =157

Answer:

157

Step-by-step explanation:

g(x)=

[tex]{8x}^{2} + 9x - 7[/tex]

g(4) =

[tex]8( {4})^{2} + 9(4) - 7 \\g(4) = 8 \times 16 + 36 - 7 \\ g(4) = 128 + 29 \\ g(4) = 157[/tex]

Answer: 28.27

Step-by-step explanation:

Area of circle = pi * r^2

Subtract either the x coordinates or y coordinates by each other to find the length of the radius. In this case, the x coordinates have a distance when you subtract.

2 - 2 = 0

3 - 0 = 3

The radius is 3

3^2 = 9

So, the area of the circle is 9 * pi

(9)pi = 28.27433388230814

To the nearest hundredth, the area of the circle is 28.27

Answer:

3^12

Step-by-step explanation:

When multiplying the same number with different exponents you have to add the the exponents. For example:

[tex]a^x + a^y = a ^{x+y}[/tex]

So (3^6)(3)(3^5) or (3^6)(3^1)(3^5) = 3^(6+1+5) = 3^12

Answer:

3^12

Step-by-step explanation:

Answer:

Yes, time play a factor in his decision, because after 3 years, option a is better, but after 9 years, option b is better.

Step-by-step explanation:

The following information is missing:

Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual  raise of $3,500 or b) an annual raise of 5% of his current salary.

The function that describes each situation is:

a) f(x) = 60,000 + 3,500*(x-1)

b) f(x) = 60,000*1.05^(x-1)

where x represents years and f(x) his salary.

Mr. Nicholson’s potential income for three years and nine years for each situation are:

a) f(3) = 60,000 + 3,500*(3-1) = $67,000

f(9) = 60,000 + 3,500*(9-1) = $88,000

b) f(3) = 60,000*1.05^(3-1) = $66,150

f(9) = 60,000*1.05^(9-1) = $88,647

Answer:

16 units

Step-by-step explanation:

the formula of a triangle is hbb/2

Answer:

for x =3  y = 4

Step-by-step explanation:

Go across to x = 3

Then go up until you reach a dot

The got left to read the y value

for x =3  y = 4

Answer:

B

Step-by-step explanation:

Given

n ≥ - 5

The symbol means that n can equal - 5 and values greater than - 5

Values greater than - 5 are to the right of - 5 on the number line.

- 4.5 and - 3 are to the right of - 5, thus greater than - 5

The set of values which make the inequality true are

{ - 5, - 4. 5, - 3 } → B

Answer: Q

Step-by-step explanation: the 23 thing simplified would be 4 and a bunch of decimals. Q is the answer on four, and the 23 thing is closest to four, so Q would be the correct answer.

Number lines are used to represent numbers at regular interval.

[tex]\sqrt{23}[/tex] is represented by point Q

The number is given as:

[tex]\mathbf{Number = \sqrt{23}}[/tex]

Take square root of 23

[tex]\mathbf{Number = 4.79583152331}[/tex]

The above equation means that: the square root of 23 is between 4 and 5, and it is closer to 4.5 than 5.

The point on the number line that represents the above highlight is point Q.

Hence, [tex]\sqrt{23}[/tex] is represented by point Q

Read more about number lines at:

https://brainly.com/question/19943246

Answer:

Image linked*

Step-by-step explanation:

Reflectional symmetry states  basically that if an object is bisected or cut in half into two equal part the sides will be proportional In This case T will be cut vertically down the center as shown with the blue arrow

Answer:

c

Step-by-step explanation:

Answer:

3. 91.125

4. 30.375

Step-by-step explanation:

just multiply all of the sides

MARK ME BRAINLIEST

Answer:

Given below

Step-by-step explanation:

Area of cube = s*s*s

= 4.5x4.5x4.5=

91.125 mm^3

Area of cuboid is lbh

= 6*2.25*2.25

= 30.375 mm^3

Answer:

Option (d).

Step-by-step explanation:

Note: The base of log is missing in h(x).

Consider the given functions are

[tex]h(x)=\log_2x[/tex]

[tex]m(x)=\log_2(x+3)[/tex]

The function m(x) can be written as

[tex]m(x)=h(x+3)[/tex]           ...(1)

The translation is defined as

[tex]m(x)=h(x+a)+b[/tex]           .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=3,b=0[/tex]

Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).

Hence, option (d) is correct.