Mathematics High School

A circus has 12 performers, of which 3 are dancers.

What is the probability that a randomly selected performer will be a dancer?

Write your answer as a fraction or whole number.

P(dancer) =

Answers

Answer 1

Answer:

1/4

Step-by-step explanation:

Divide 12 by 4 to get the chance to pick a dancer

Related Questions

Fill in the blank:
The function is _________ over the interval [3,1].
A. increasing
B. decreasing
C. constant ​

Answers

Answer:

increasing

Step-by-step explanation:

its increasing because it goes back up at a fast rate

Solve 2x=54xˆ(2/3)

Please, I need the step by step working to find the value of x

Answers

Answer:

x = 19683 or x = 0

Step-by-step explanation:

Solve for x:

2 x = 54 x^(2/3)

Hint: | Isolate the radical to the left hand side by reversing the equality.

2 x = 54 x^(2/3) is equivalent to 54 x^(2/3) = 2 x:

54 x^(2/3) = 2 x

Hint: | Eliminate the power on the left hand side.

Raise both sides to the power of three:

157464 x^2 = 8 x^3

Hint: | Move everything to the left hand side.

Subtract 8 x^3 from both sides:

157464 x^2 - 8 x^3 = 0

Hint: | Factor the left hand side.

Factor x^2 and constant terms from the left hand side:

-8 x^2 (x - 19683) = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by -8:

x^2 (x - 19683) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

x - 19683 = 0 or x^2 = 0

Hint: | Look at the first equation: Solve for x.

Add 19683 to both sides:

x = 19683 or x^2 = 0

Hint: | Look at the second equation: Eliminate the exponent.

Take the square root of both sides:

Answer: x = 19683 or x = 0

Five chicken nuggets have 135 calories. How many calories are in 9 chicken nuggets

Answers

Answer:

243 calories

Step-by-step explanation:

4+2(8²×4²)+6+4+6+6+6+2+2​

Answers

Answer:

2084

Step-by-step explanation:

4+2(8²×4²)+6+4+6+6+6+2+2​ = 4+2(64*16)+6+4+6+6+6+2+2 = 4 + 2048 + 6 * 5 + 2 = 4 + 2050 + 30 = 2080+4 = 2084​

4 + 2(8^2 * 4^2) + 6 + 4 + 6 +6 + 6 + 2 + 2
= 4 + 2(64 * 16) + 6 + 4 + 6 + 6 + 6 + 2 + 2
= 4 + 2(1024) + 6 + 4 + 6 + 6 + 6 + 2 + 2
= 4 + 2048 + 6 + 4 + 6 + 6 + 6 + 2 + 2
= 4 + 2048 + 24 + 4 + 4
= 2048 + 12 + 24
= 2048 + 36
= 2084

So, in conclusion, the answer to this question is: 2048.

Simplify the following fraction:
18/66



Plz help

Answers

3/11

18/66 divided by 2 is 9/33. This number divided by 3 gets 3/11. I hope this helps!

Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

What is the GCF of both numbers:

the GCF is 6.

6 goes into 18, 3 times

6 goes into 66, 11 times

so the simplified version is 3/11

Find the mean and range of: 1.5, 0.5, 2, 3, 2.5

Answers

Answer:

mean 2 range2.5

Step-by-step explanation:

 


pls help me with this multiple choice !

Answers

Answer:

A

Step-by-step explanation:

[tex] \tan(60) = \frac{13 \sqrt{3} }{y} \\ y = \frac{13 \sqrt{3} }{ \tan(60) } = 13 \\ \cos(60) = \frac{13}{x} \\ x = 26[/tex]

Factorize 27x3 - 16y3

Answers

Answer:

27x3-16y3=

3x-4y

Step-by-step explanation:

I don't understand your question fully

I hope I helped you

Linear Equations Digital Escape! Can you find the slope-intercept equation of each line and type the correct code?

Answers

Answer: I can if there’s a picture...

Step-by-step explanation:

Answer: cgia

Step-by-step explanation:

Will mark brainlyist! Please help
What is the 100th term of the sequence with a1 = 222 and d = -5?
A: -278
B: 722
C: 717
D: -273

Answers

Answer:

A

Step-by-step explanation:

Since it's the 100th term you multiply -5 by 100 and then you add the number together

Answer:

D: -273

Step-by-step explanation:

Use the nth term formula:

aₙ = a₁ + (n - 1)d

Substitute values:

a₁₀₀ = a₁ + 99d a₁₀₀ = 222 + 99(-5) = -273

Correct choice is D

A large university accepts 70​% of the students who apply. Of the students the university​ accepts, 40​% actually enroll. If 30,000 students​ apply, how many actually​ enroll?

Answers

8400 because you take 70% of 30000 which is 21000, then you take 40% of 21000, which is 8400

Answer:

8400 students

Step-by-step explanation:

Applicants = xAccepted = 70% ⇒ 0.7xEnrolled = 40% ⇒ 0.4(0.7x) = 0.28x

We got x = 30000

Then number of actually enrolled is:

30000*0.28 = 8400 students

The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in
the lake. What is the population this year? If you get stuck, consider drawing a diagram.
There are
fish in the pond.
HELLPPP

Answers

Answer:

theres

4

Step-by-step explanation:

PLEASE HELP Review the equation, then complete the following. f(x)=1/x-4, g(x)=4x+1/x ​Use composition to prove whether or not the functions are inverses of each other. Express the domain of the compositions using interval notation.

Answers

Answer:A. Yes, they are inverse of each other.

B. Domain and range of the compositions is .

Step-by-step explanation:

A. We have,  and .

Now, 'when two functions f and g are inverses of each other, they satisfy the property '.

So, we have,

 

Thus, we get for the given function f and g, .

Hence, they are inverse of each other.

B. Now, as we have,

That is, the composition of the functions is equal to the identity function.

Thus, the domain and range are the set of all real numbers respectively.

So, in the interval notation, we have,

Domain and range of the compositions is .

first part- Mrs. Swanson made 1/2 of a pound of fudge to share equally among 6 students in her reading group. How much fudge will each child get?

2nd part- After handing out the fudge, one of the students eats 1/2 of his fudge.How much of his fudge did the student eat?

Answers

Answer:

How many bottles of juice should they get, so that each child gets the same ... E. David used exactly 8 cups of flour to make 6 loaves of bread. ... 1 At a pizza party, 5 people will equally share 3 pizzas. ... 4 pineapple fruitcakes for a bake sale to raise money for the school band. ... containers left with ½ cup each of hot fudge.

Step-by-step explanation:

The estimate obtained from a sample of which size is likely to be closest to the actual parameter value of a population?

Answers

Answer:

184

Step-by-step explanation:

Answer: 184

Step-by-step explanation:

A P E X


A cube can be unfolded into the net shown below. Find the total
surface area of the cube.
23.9 mm

Answers

Answer:

23.9 mm

Step-by-step explanation:

A cube can be unfolded into the net shown below. Find the total

surface area of the cube.

23.9 mm

how to solve 9x^2+9x+2

Answers

Answer:

factoring: ( 3 x + 1 ) ( 3 x+ 2 )

expressing/equation: 9x²= 81x

81x + 9x + 2=

9x+81x=90x

90x + 2

Step-by-step explanation:

Measure and record the length of each side of parallelogram ABCD.

Answers

Answer:

Side Length

AB = 3.61

BC =  2.0

CD=   3.61

AD = 2.0

Step-by-step explanation: plato answer

Answer:

AB = 3.61

BC =  2.0

CD=   3.61

AD = 2.0

Step-by-step explanation:

Which is a perfect square?
6^1
6^2
6^3
6^5

Answers

Answer:

all of them

Step-by-step explanation:

Answer: 6^2

Step-by-step explanation: because the perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, and so on. <3

Elise sold 110 total tickets for the football game. Adult tickets cost $2.50 and student tickets
cost $1.10. If she collected $212, how many of each kind of ticket did she sell? Define your
variables, write two equations and solve the system, showing all of your thinking
A=
S =

Answers

Answer:

A + S = 110

2.5A + 1.1 S = 212

S = 110-A

Put value of x in equation 2

A = 65......... S = 147

Step-by-step explanation:

I'm so confused, cans omeone help it's a TEST!!

Answers

Answer:

Step-by-step explanation:

sin R = opp/hyp = 11/61 = .18

sinR =.18

the angle R = sin^-1 (11/61) = 10.39°

∠R = 10.39°

I’ll give a Brainly thing please help

Answers

Answer:

Looks like true to me

Step-by-step explanation:

y = x +6

What number minus one-half is equals to negative one-half

Answers

Answer:

0

Step-by-step explanation:

Carter has a fruit stand. In the morning, he has 25 1/2 pounds of peaches. He sells bags of peaches that each weigh 1 1/2 pounds. He will restock when he has less than 3 pounds of peaches left. Which solution represents how many bas of peaches, b, Carter will sell before he restocks?

Answers

Answer:

Carter will sell 17 bags of peaches before he restocks.

Step-by-step explanation:

Total pounds of peaches Carter have = [tex]25\frac{1}{2} = \frac{51}{2} = 25.5[/tex]

Weight of each bag = [tex]1\frac{1}{2} = \frac{3}{2} = 1.5[/tex] pound

Number of bag made = [tex]\frac{25.5}{1.5}[/tex]  = 17

The number is fully divided , it means no of peaches left = 0 < 3

So,

Carter will sell 17 bags of peaches before he restocks.

The number of bas of peaches, b, Carter will sell before he restocks is 17.

Calculation of the number of peaches:

Since he has 25 1/2 pounds of peaches. He sells bags of peaches that each weigh 1 1/2 pounds. He will restock when he has less than 3 pounds of peaches left.

So here

[tex]= 25.5 \div 1.5[/tex]

= 17

Learn more about solution here: https://brainly.com/question/2621564

The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters.
Part A. What is the area of the base of the cylinder? Express your answer in terms of π. options are: 15 pi cm, 14 pi cm, 16 pi cm, 17 pi cm.

Part B: How many cubic centimeters of fluid can fill this cylinder? Express your answer in terms of π. options are: 112 pi cm, 110 pi cm, 113 pi cm, 107 pi cm.

Part C: Give a decimal approximation of your answer to the second question using 3.14 to approximate π. options are: 351.68 cm, 368.15 cm, 386.51 cm, 315.68 cm.

Answers

Answer:

A: 16[tex]\pi[/tex][tex]cm^{2}[/tex]

B: 112[tex]\pi[/tex][tex]cm^{3}[/tex]

C: 351.68[tex]cm^{2}[/tex]

Step-by-step explanation:

The cubic inches that can fill the cylinder is [tex]112\pi[/tex] and the decimal approximation 351.68 cm^3

The given parameters are:

Radius (r) = 4 cm

Height (h) = 7 cm

The area of the base

The area of the base is:

[tex]A = \pi r^2[/tex]

So, we have:

[tex]A = \pi *4^2[/tex]

[tex]A = 16\pi[/tex]

Hence, the area of the base is [tex]16\pi[/tex]

The cubic inches that can fill the cylinder

This is the volume of the cylinder.

So, we have:

[tex]V = \pi r^2h[/tex]

Substitute known values

[tex]V = \pi * 4^2 * 7[/tex]

[tex]V = 112\pi[/tex]

Hence, the cubic inches that can fill the cylinder is [tex]112\pi[/tex]

The decimal approximation

We have:

[tex]V = 112\pi[/tex]

Expand

[tex]V = 112 * 3.14[/tex]

Evaluate the product

[tex]V = 351.68[/tex]

Hence, the cubic inches that can fill the cylinder is 351.68 cm^3

Read more about volume at:

https://brainly.com/question/10171109

A science class has to maintain a ratio of boys to girls of 2 to 3. How many boys and girls would be in a class of 125 students?

Answers

Answer:

73;76

Step-by-step explanation:

find the volume of a rectangular block of ice 2 feet by 3 and 1/2 feet by 1 and 1/2 feet the volume of the rectangular block of ice is what simplify your answer please ​

Answers

Answer:

V = 10 1/2 ft³

Step-by-step explanation:

V = length • width • height

V = 2 • 3 1/2 • 1 1/2

V = 10 1/2 ft³

-4M = 48 What would you do to each side of the equation?
Pls responddd

Answers

Answer:

divide by - 4

Step-by-step explanation:

Given

- 4M = 48 ( isolate M by dividing both sides by - 4 )

M = - 12

Please help me this is math 10, you need to find area of the shaded region in factored form.

Answers

Answer:

Express the fraction in its simplest form.



What is the missing number?

please help!! Graph the line that has a slope of 3 and contains the point (3,0)

Answers

Answer:

Step-by-step explanation:

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