There are 130 people in a sport centre.
65 people use the gym.
51 people use the swimming pool.
44 people use the track.
15 people use the gym and the pool.
14 people use the pool and the track.
10 people use the gym and the track.
1 person uses all three facilities.
A person is selected at random.
What is the probability that the person uses exactly one of the facilities?

Answer:

12

Step-by-step explanation:

(5×6)-½(3×6 + 2×4 + 2×5)

=30 - ½(18+8+10)

= 30 - ½(36)

=30-18= 12

for god sake pls are you serious?! i just can't believe! for a st...upi...d reason you got here before me?!? are you upset cuz you can't have what you wanted?!

Answer:

113°

Step-by-step explanation:

triangles add up to 180°

180° - 34° - 33° = 113°

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

Explanation:

For any triangle, the three interior angles must add to 180 degrees

34+33+x = 180

x+67 = 180

x = 180-67 ... subtract 67 from both sides

x = 113

This triangle is obtuse because the 113 degree angle is larger than 90 degrees. Also, the triangle is scalene because all three angles are different values (consequently, it means all three sides are different from one another).

are you sure h + g?

there is no g in your question..there's h and p

Answer:

B

Step-by-step explanation:

Roots from trees hold soil particles together, so it'll be more vulnerable to erosion.

Answer:

B

me big brain

Answer:

acute triangle

Step-by-step explanation:

all angles are less than 90 degrees

hope this helps!! :D

Answer:

acute triangle

Step-by-step explanation:

in figure measures are less than 90° so acute triangle

Answer:

2 1/4

Or as a fraction

9/4

Answer:

36

Step-by-step explanation:

Answer:

solution = (3, 11)

Step-by-step explanation:

4x + 2y = 10

*subtract 4x from both sides*

2y = -4x + 10

*divide by 2* --> y = -2x +5

12x - 3 y = 3

*add 3y to both sides*

12x = 3y + 3

*subtract 3 form both sides*

12x - 3 = 3y

*divide by 3* --> y = 4x - 3)

2x + 5 = 4x - 1

*subtract 2x form both sides*

5 = 2x -1

*add 1 to both sides*

6 = 2x

*divide by 2x* --> x = 3

y = 2(3) + 5   (plug in 3 for x to solve for y)

y = 6 + 5

y = 11

Answer:

B. (2, 1/64)

Hope this helps!

Answer:

2x + 3/4 - 3x - 2/5 - 6 x - 5/20 is less than 13/4

Step-by-step explanation:

Do you want to know how I know it's because it equals   −8

Answer:

5 laps

Step-by-step explanation:

35\7

= 5

Therefore your ans is 5

Answer:

The volume and surface area of this square pyramid is approximately 277.33 [tex]m^3[/tex] and 281.6 [tex]m^2[/tex] respectfully.

Step-by-step explanation:

To find the volume of a pyramid, you need to multiply the base area by the vertical height and divide it by 3. In this case, the volume of the square pyramid would be [tex]\frac{8*8*13}{3}[/tex] = [tex]\frac{64*13}{3}[/tex] = [tex]\frac{832}{3}[/tex] ≈ 277.33 [tex]m^3[/tex]. If you want to find the surface area of a shape, you have to calculate the area of every side making up the 3-dimensional figure and add them all together to figure out the surface area. In this case, the surface area would be [tex]\frac{13.6*8}{2} *4 + 8^2[/tex] = [tex]\frac{108.8}{2} * 4 + 64[/tex] = [tex]54.4 * 4 + 64[/tex] = [tex]217.6+64[/tex] = 281.6 [tex]m^2[/tex]. So the volume of the square pyramid would be approximately 277.33 [tex]m^3[/tex], and the surface area is 281.6 [tex]m^2[/tex].

Answer:

Step-by-step explanation:

sin 30+tan²(60)+sec²(45)

=1/2+ (√3)^2+(√2)²

=1/2+3+2

=5 1/2

=5.5

Answer:

(B) 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

h(x) = f(g(x))

h'(1) = ?

Step 2: Differentiate

Step 3: Evaluate

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

B (-4,-4)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since it is currently at (4,2), reflecting it across y=-1 will bring the y-coordinate down to -4. After that, reflecting it across the y-axis will flip the sign in front of the x-coordinate, so 4 to -4. Therefore, your answer is (-4,-4).

Answer:

Step-by-step explanation:

po ang sagot ko po

Answer:

False, A polygon must have at least 3 sides.

Step-by-step explanation:

A polygon must have at least 3 sides. Not at least 2 sides.

A polygon must have at least three sides so the statement that a polygon must have at least two sides is false.

We have,

A polygon is a closed figure formed by straight lines called sides.

By definition,

A polygon must have at least three sides.

A polygon with only two sides would be classified as a line segment, not a polygon.

Thus,

A polygon must have at least two sides is false.

Learn more about polygons here:

https://brainly.com/question/28276384

#SPJ6

Answer: The person above was correct

Step-by-step explanation: :)

Answer:

3g = x - 2

Step-by-step explanation:

x = 3g + 2

3g + 2 = x

3g + 2 - 2 = x - 2

3g = x - 2

Answer:

Step-by-step explanation:

Step 1: Convert the discounted percent to decimal

20% = 0.2

Step 2: Multiply the discount to the item regularly priced

0.2(65.00) = 13

So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:

Step 3: Subtract the result (the discount Bill received) from the regular price

$65.00 - $13.00= $52.00

Therefore, Bill paid $52.00

Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price

$4.50 × 40% = 1.8

[tex]\frac{4.50}{x}=\frac{100\%}{40\%}[/tex]

[tex]\frac{x}{4.50}=\frac{40}{100}[/tex]

x = 1.8

Step 2: Add the result to the wholesale price for the pillow

4.50 + 1.8 = $6.3

Step 3: Round to the nearest cent

Add a zero behind the result = 6.30

Therefore, the price of the pillow in the department store is $6.30

Answer: 536.142 in^2

Step-by-step explanation:

trust the loli dragon jesus

Answer:

x = 20 degrees

y = 128 degrees

Step-by-step explanation:

First, lets solve for x:

3x-8 = 2x + 12

x = 20 degrees

Let's check our work:

60 - 8 = 40 + 12

52 = 52

Now, lets solve for y:

360 - 104 = 256

Why 360? Because 360 degrees = full circle

256/2 = 128 degrees

y = 128 degrees

Why divided by 2? Because there are 2 parts that are equal (y)

Hope this helps! Sorry for the late answer!

--Applepi101

Answer:

5(x+8)

5x+8x

5x+40

6q+2+3q+5

9q+7

Answer:

1. 5x + 40

to get this answer i multiplied the 5 to the variables in the parenthesis

2. 9q +7

to get this answer i added the variables that were similar., one pair has q at the end and the other does not.

Answer:

169/8πin^ 2

Step-by-step explanation:

A=45/360*π*13*13

=1/8*π*169

=169/8πin^2

Answer:

3/1

Step-by-step explanation:

rise/run,  from P, Q, and R the slope goes to the left once and up 3 so the slope or rate of change is 3/1

Answer:

The input is x2

Step-by-step explanation:

1*2=2

4*2=8 and the rest go on

Answer:

3b^2+2b-8 Hope that helps !

Step-by-step explanation:

1. Use the FoIL method: (a+b)(c+d)= ac+ad+bc+bd 3b^2+6b-4b-8

2. Collect like terms 3b^2+(6b-4b)-8

3. Simplify which would give you your answer: 3b^2+2b-8