There are 120 people in a sport centre. 78 people use the gym. 46 people use the swimming pool. 45 people use the track. 21 people use the gym and the pool. 16 people use the pool and the track. 24 people use the gym and the track. 9 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:
43/120 ≈ 0.3583
Step-by-step explanation:
Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...
21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities
The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...
43/120 ≈ 0.3583
_____
The given numbers add up as follows:
Gym only: 42
Pool only: 18
Track only: 14
Gym and Pool only: 12
Gym and Track only: 15
Pool and Track only: 7
Gym and Pool and Track: 9
No facilities: 3

Related Questions

PLEASE HELP! 15 POINTS!! WILL MARK BRAINLIEST!!!!!! HELP IN MATH!!!!!! PLEASE I AM BEGGING U!!!!!!!!

Answers

Answer:

6 inches high

Step-by-step explanation:

Answer: I can help you....

Step-by-step explanation:

Just copy and pase the question into the go og le sea rc h e ng in e, theres like a 50% chance u will find a similar question just with the words changed up or u will find the exact one. Hope this will help you!

Please help!!!!! (Look at picture)

Answers

Answer:

7  and 1/10; 7.1

Step-by-step explanation:

the marks on the line each mean 0.1  when hitting 8 therefore meaning 1.0 but the last marked 0.1 is just 7.9

8 1/5-2 7/8 fractions

Answers

i removed my answer because it was wrong look at the other peoples answers

Answer: 213/40 or 5.325

Step-by-step explanation:

We can find common denominators for 8 1/5 and 2 7/8.

The Lowest Common Denominator for 8 1/5 and 2 7/8 is 40.

8 1/5 = 41/5 = 328/40.

2 7/8 = 23/8 = 115/40.

Now we can subtract.

328/40 - 115/40 = 213/40.

Therefore, the answer is 213/40 or 5 13/40.

Misty runs out of gas 2 blocks from 3 gas stations. She is running late for a hair appointment that was scheduled for 10 minutes ago. Her tank can hold 12 gallons. She has $85, but needs to also use it for her hair appointment. Gas station A has free car service to wash windows and charges $2.67 per gallon. Gas station B charges $2.60 per gallon with no extra services. Gas station C has free air and charges $2.62 per gallon. What is the cheapest cost to fill Misty's tank?

Answers

Answer:

station A

Step-by-step explanation:

Given data

We are told that she has  $85 and she wants to fill only her tank

station A

charges $2.67 per gallon

12 gallons will cost

=12*2.67

=$32.04

station B

charges $2.60 per gallon

12 gallons will cost

=12*2.60

=$31.2

station C

charges $2.62 per gallon

12 gallons will cost

=12*2.62

=$31.44

The cheapest is station A

find the 7th term in the sequence?
-1,-3,-9

Answers

Answer: -21, what ever number you have you subtract 3 from that number. So after -9 would be -12 and so on

Answer:

-729

Step-by-step explanation:

Given is a geometric sequence.

Therefore,

a = - 1, r = - 3 /(-1) = 3, n = 7

[tex] a_7 =? [/tex]

[tex] \because a_n = ar^{n-1} [/tex]

[tex] \therefore a_7 = (-1)(3)^{7-1} [/tex]

[tex] \therefore a_7 = (-1)(3)^{6} [/tex]

[tex] \therefore a_7 = (-1)(729) [/tex]

[tex] \therefore a_7 = -729 [/tex]

50 points! Mhanifa can you please help me? Only answer if you know it. Random answers will be reported. I will also mark brainliest!

Answers

Answer:

5.  Since ∠CBD ≅ ∠CDB and ∠BAE ≅ ∠DEA, ΔABD and ΔBDE are equal. Therefore, the distances AD and EB are the same.

6.  Since ∠EBC ≅ ∠ECB and AE ≅ DE, ΔABE and ΔCDE are equal. Therefore, the distances AB and DC are the same.

I hope this helps!

Answer:

Question 5

ΔCBD is isosceles as angles B and D are congruent

ΔCAE is also isosceles as angles A and E are congruent

CA ≅ CE as the triangle ΔCAE is isosceles

AB = AC - BC, ED = EC - DC ⇒ AB ≅ ED∠BAE ≅ ∠DEA - givenAE ≅ EA - reflexive propertyΔBAE ≅ ΔDEA - SAS congruency theorem

AD ≅ EB - corresponding parts of congruent triangles

Question 6∠EBC ≅ ECB ⇒ ΔECB is isosceles ⇒ EB ≅ ECAE ≅ DE - given∠AEB ≅ ∠DEC - vertical angles

ΔAEB ≅ ΔDEC - SAS congruency theorem

AB ≅ DC - corresponding parts of congruent triangles

if somome can help with the answer. ​

Answers

Answer:

Step-by-step explanation:

x2 - x - 12

x2 - 4x + 3x - 12

x(x - 4) +3(x - 4)

(x - 4) (x + 3) are the factors

Can someone help me with these two problems please?

Answers

Answer:

b

j

................................

Match the reasons with the statements in the proof.

Answers

Answer:

for some reason i cant see ur attachment. lo siento

Same here I can’t read it

Write the equation for the function g(x) if the parent function f(x) is translated 3 spaces to the right and 2 spaces up.

Answers

Answer:

g(x) = f(x–3) + 2

Step-by-step explanation:

If g(x) is just 3 spaces to the right and 2 spaces up from f(x), then g(x) = f(x–3) + 2

Will mark brainliest to whoever answer’s tgese question’s

Answers

I don’t get it?? Sorry

The price of a pair of earrings is $22 but Priya buys them on sale for $13.20.

By how much was the price discounted?​

Answers

The price was discounted by $8.80 :)

Answer:

I hope I can help

Step-by-step explanation:

welcome po

Georgie had her roof repaired. She was charged an extra 2.5% for late payment. She had to pay a total of £977.85. Calculate how much she would have saved if she had paid on time. Help me please

Answers

Step-by-step explanation:

977.85-2.5%= 953.40

977.85-953.40= £24.45 potentially saved.

Answer:£23.85 is your answer.

x+2.5%ofx=£977.85

x(1+2.5/100)=£977.85

x=£977.85/(1.025)=954

saving money will be =£977.85-954=£23.85

a) Rationalise the denominator of a,b,c

Answers

Answer:

See below

Step-by-step explanation:

a)

[tex] \frac{20}{ \sqrt{10} } = \frac{20 \sqrt{10} }{ \sqrt{10} \times \sqrt{10} } = \frac{20 \sqrt{10} }{10} = 2 \sqrt{10} [/tex]

b)

[tex] \frac{ \sqrt{2} }{2 \sqrt{5} - 1 } \\ \\ = \frac{ \sqrt{2} \times (2 \sqrt{5} + 1 )}{(2 \sqrt{5} - 1)(2 \sqrt{5} + 1) } \\ \\ = \frac{ \sqrt{2} \times 2 \sqrt{5} + \sqrt{2} \times 1 }{(2 \sqrt{5} ) ^{2} - (1)^{2}} \\ \\ = \frac{ 2 \sqrt{10} + \sqrt{2}}{20 - 1} \\ \\ = \frac{ 2 \sqrt{10} + \sqrt{2}}{19} \\ \\ equating \: it \: with \: \\ \frac{ a + \sqrt{b}}{c} \\ \\ a = 2 \sqrt{10} \\ \\ b = 2 \\ \\ c = 19[/tex]

Answer:

The above answer is correct

5×2 to the power of five

Answers

Answer:

5x2^5 is 160

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

2^5 is 32. 32 x 5 is 260.

Hope it helps!

How to find X. Find the value

Answers

Answer:

A= 4

Step-by-step explanation:

Choose all the expressions that are equal to 7.6 ÷ 10. Please help me!
A. 760 ÷ 100
B. 0.76 ÷ 100
C. 7,600 ÷ 104
D. 7.6 ÷ 102
E. 0.076 ÷ 10

Answers

Answer:

a

Step-by-step explanation:

Answer:

A?

Step-by-step explanation:

Please help:) I'll report you if you steal points :(

Answers

Answer:

2.1

Step-by-step explanation:

So you have to reverse the order to get y, so you multiply 7 and .3 because that is the opposite of division

your answer is 2.1

Because of a record corn harvest, excess corn is stored on the ground in a pile. The pile is shaped like a cone. The height of the pile is 25 ft, and the radius of the pile is 1.2 × 10 2 f t. Use the formula V = 1 3 π r 2 h to find the volume. Fill in the blanks provided below to represent your answer using 2 significant figures.
I need help please

Answers

Answer:

[tex]V=3141.59\ \text{feet}^3[/tex]

Step-by-step explanation:

Given that,

The height of the pile, h = 25 feet

The radius of the pile, [tex]r=1.2\times 10^2\ ft[/tex]

We need to find the volume of the pile of cone. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \times (1.2\times 10^2)\times 25\\\\V=3141.59\ \text{feet}^3[/tex]

So, the required volume of the pile is [tex]3141.59\ \text{feet}^3[/tex].

2. GEOMETRY What is the difference in the areas of the polygons shown A=x+4 A=5x-7​

Answers

Answer:

6

Step-by-step explanation:

Answer:

4x - 11

Step-by-step explanation:

X^2/3 =4 what is x^2

Answers

Answer:

3.46

Step-by-step explanation:

It’s 3.46 dude. I’m pretty sure of it

What is the solution to the equation? 14g = 154

A. 5
B. 11
C. 140
D. 2,156

Answers

Answer:

11

Step-by-step explanation:

14/14=154/14

g=11

Answer:

B. 11

Step-by-step explanation:

14g = 154

[given]

14g ÷ 14 = 154 ÷ 14

[division property of equality, divide both sides by 14 to cancel out the coefficient of 14 in 14g to get g]

g = 154 ÷ 14

[division property, how many times does 14 fit in 154?]

g = 11

________

11 is the solution because when 11 is substituted or plugged in for the variable g, it is multiplied by 14 to make 154.

g = 11 → 14g = 154

14(11) = 154

154 = 154 ✓

1. Consider the surface area of the following pyramid.
2.24 cm
4 cm
4 cm
2.24 cm
4 cm
3 cm
4 cm
4 cm
3 cm
3 cm
4 cm
4 cm
3 cm
4 cm
4 cm
3 cm
(a) Calculate the total surface area of the pyramid. Show your work.
(b) Calculate the lateral surface area of the pyramid. Show your work.
Answer:

Answers

Answer:

i have the same question and i think

A. 26.88

B. 80.68

Step-by-step explanation:

If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone Rin terms of the radius of cylinder r is: ​

Answers

Answer: R = √(3*r^2)

Step-by-step explanation:

For a cylinder with radius r and height H, the volume is:

V = pi*r^2*H

For a cone of height H, and with a base of radius R, the volume is:

V = (1/3)*pi*R^2*H

In this case, we know that both figures have the same height, and the same volume, then we can write:

pi*r^2*H = (1/3)*pi*R^2*H

Now we can divide by pi in both sides to get:

(pi*r^2*H)/pi = ((1/3)*pi*R^2*H)/pi

r^2*H = (1/3)*R^2*H

Now we can divide both sides by H:

(r^2*H)/H = ((1/3)*R^2*H)/H

r^2 = (1/3)*R^2

Now we want to write R in terms of r.

Then we need to isolate R in the above equation:

r^2 = (1/3)*R^2

3*r^2 = R^2

√(3*r^2) = R

R = √(3*r^2)

What is the slope of the line that goes through points (2.9) and (5.3)?

Answers

Answer:

0 ZER0

Step-by-step explanation:

There is no slope it would be a straight line across the x axis

Answer:

-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-9)/(5-2)

m=-6/3

simplify

m=-2

PLEASE HELP I WILL MAKE YOU BRAINLIEST!!!!! A rectangular prism has a volume of 198 cm³. A rectangular pyramid has the same height as the rectangular prism and a base that is congruent to the base of the rectangular prism.

What is the relationship between the volume of the rectangular prism and the rectangular pyramid?


(A) The volume of a rectangular pyramid is 2 times the volume of a rectangular prism. The volume of the rectangular pyramid is 396 cm3.

(B) The volume of a rectangular pyramid is 13 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

(C) The volume of a rectangular pyramid is 3 times the volume of a rectangular prism. The volume of the rectangular pyramid is 594 cm3.

(D) The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 99 cm3.

Answers

Answer:

(B) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism is given by:

[tex]V_R = A_{b}*h[/tex]

In which [tex]A_b[/tex] is the base area and h is the height.

Volume of a pyramid:

[tex]V_P = \frac{A_{b}*h}{3}[/tex]

Relation:

From this, given the same base and the same height, the volume of the pyramid will be a third of the rectangular prism.

A rectangular prism has a volume of 198 cm³

So the volume of the pyramid is 1/3 of this, that is, 198/3 = 66 cubic centimers.

The correct answer is given by option B.

Point Q was rotated by -30° (the center of rotation is indicated).

Answers

Answer:

What is your question dude???

Step-by-step explanation:

Answer:

Point C

Step-by-step explanation:

I just did It :). it went clockwise which is why it's NEGATIVE 30. If it were point D, it'd probably be about 60 degrees or so.

What is (3x^3)^3 in factored form? Help

Answers

Answer:

This can't really be factored, but it can be expanded slightly.

(3x³)³ = 27x⁹

Answer the question above.
The answer choices are

529.38

565.09

576.09

622.8

Answers

Answer:

576.09

Step-by-step explanation:

14.2m + 3 - 2.1m + 4.6

Answers

Answer:

the answer is 10.5m

Step-by-step explanation:

14.2m+3-2.1m+4.6

= 17.2m-2.1m+4.6

= 17.2m-6.7m

= 10.5m

the answer is 10.5m

Answer:

12.1m + 7.6

Step-by-step explanation:

14.2m + 3 - 2.1 + 4.6

Group like terms:

14.2 - 2.1 + 3 + 4.6

Add similar elements:

14.2m - 2.1m = 12.1m=

12.1m + 3+ 4.6

Add the numbers: 3 + 4.6 = 7.6=

12.1m + 7.6.

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