Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.

If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer 1

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]


Related Questions

Need help with this question

Answers

Answer: 30

Step-by-step explanation: To solve this problem, we're going to have to use the Pythagorean theorem...

a² + b² = c²

24² + 18² = c²

576 + 324 = c²

c² = 900

[tex]\sqrt{900}[/tex]

30

30 = c

I hope this helps!

Can you please help me with this question

Answers

Answer:

0=0

1=10

2=15

3=20

Step-by-step explanation:

What I did was I multiplied each number by 5, then added 5.

Please help me with my question!!!

Answers

Answer: They can make 18 ornaments

Step-by-step explanation:

you make 4 and 1/2 into the common denominator of 4. So then you get 4 and 2/4 you multiply 4 by 4 to get 16 and then add it to the 2/4 to get 18/4 each takes 1/4 so you have 18(1/4)

Pencils that were selling at three for 25 cents are now on sale at five for 29 cents. How much money, in cents, would you save by buying 60 pencils at the sale price

Answers

Answer:

We would save $1.52 cents

Step-by-step explanation:

3 the pencil were at sale for 25 cent

1 pencil = 25 cent/3 =8.33 cent per one pencil

5 the pencil were at sale for 29 cent

1 pencil = 29 cent/5 =5.8 cent per one pencil

If we bought 60 pencil in group of 3 for 25 cent

=60/3= 20 pencil

25cents * 20 pencil = 500 cent per 60 pencil

If we bought 60 pencil in group of 5 for 29 cent

=60/5= 12 pencil

29cents * 12 pencil = 348 cent per 60 pencil

From the analysis, the 5 pencil for 29 cent is cheaper are we are going to save: 500-348= 152 cents

HELPPPPP PLZZZ
2) Tom can paint a fence in 12 hours. Huck can paint the same fence in 10 hours. How long would it take to put two coats of paint on the fence if Tom and Huck work together? Answer as an improper fraction, then round to 1 decimal place.

3) Kim and Josh can clean a house together in 3 hours. If it takes Kim 7 hours to clean the house by herself, how long would it take Josh to clean the house alone? Leave your answer in improper fraction form, then convert to a decimal.




4) Jack can mow the baseball grounds in 2 hours; Mike can mow the same grounds in 3 hours; and Chris can mow the grounds in 4 hours. How long will it take to mow the baseball grounds if Jack, Mike, and Chris work together?
Leave your answer in proper fraction form, then round to 1 decimal place.
Using your rounded answer, how many minutes would that be?


Answers

Answer:

1st answer

Step-by-step explanation:

Another way to say 2 coats is

to paint the fence twice

Also, that is the same as painting

2 identical fences

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

Tom's rate is:

+1%2F8+ = ( 1 fence ) / ( 8 hrs )

Huck's rate is:

+1%2F5+ = ( 1 fence ) / ( 5 hrs )

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

Let +t+ = the time in hrs for them

to paint 2 fences

+2%2Ft+ = ( 2 fences ) / ( t hrs )

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

+1%2F8+%2B+1%2F5+=+2%2Ft+

Multiply both sides by +40t+

+5t+%2B+8t+=+80+

+13t+=+80+

+t+=+6.154+

It will take them 6.154 hrs

2) They together will take 10.9 hrs or 120/11

3) josh will take 21/11 hrs or 1.9 hrs

4) Together they will take 36/13 or 2.8 hrs

Solutions to the above problem

2) Tom takes = 12 hrs

    Huck takes= 10hrs

We can aaply unitary method

together they will take= 1/12+1/10=2/t

11t=120;

t=120/11 or 10.9 hrs

3) Together kim and josh can clean the house together in = 3 hrs

   Kim takes = 7hrs

   Josh will take= 1/7+1/x=2/3

3x+21=14x

21=11x

x=21/11 or 1.9 hrs

4)  Jack makes baseball grounds in= 2 hrs

     Mike takes= 3 hrs

    Chris takes= 4 hrs

 Together they will take= 1/2+1/3+1/4=3/x

13x=36

x=36/13 or 2.8 hrs

To learn more about Unitary method refer to:

https://brainly.com/question/19423643

#SPJ2

Can someone please help me on this????

Answers

hopefully this helps

HELP! ITS ABOUT SURVEYSSS EXPLANATION NEEDED

Answers

Answer:

B is the correct answer (Check the explanation below)

Step-by-step explanation:

Probability of boys who do play = 1593/2451 = 0.6499 or 64.99% (if you times by 100 to change to percentage)

Probability of boys who do not play =858/2451 = 0.35 or 35%

Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%

Probability of girls who do not play = 1635/2996 = 0.5457 or 54.57%

Probability of boys and girls who play = 2954/5447 = 0.5423 or 54.23%

Probability of boys and girls who do not play = 2493/5447 =0.4577 or 45.77%

you can see the correct statement is

Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%

total number of girls is 2996 and we found out almost 54% do not play and almost 45% play

Solve x
3x+6=42 please help me get this done

Answers

_______________________________

Solution,

3x+6=42

or,3x=42-6

or, 3x=36

or,X=36/3

X=12

The value of X is 12.

hope it helps

Good luck on your assignment

____________________________

Answer:

this can be solved by using transposition method let me tell you how

Step-by-step explanation:

3x+6=42

+6 will transpose to the rhs

=3x = 42 - 6 (+WILL BECOME - WHILE TRANSPOSING LHS TO RHS)

= 3x = 36

3x will transpose and will become division

= x = 36 /3

=x =12

the value of x is 12

EASY question for y’all mathy people, easy points! Question in photo.

Answers

Answer:

C - 13

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

No need

A quadrilateral-shaped land property is drawn on a coordinate grid. Two adjacent sides of the property lie along the lines y = 4x + 8 and y = – 0.25x – 9, with one corner of the property at the intersection point P of the lines. One of these sides ends at an oak tree located at (–1, 4) and the other side ends at a pine tree located at (4,–10).

What are the coordinates of the point where the two lines intersect?

Answers

Answer:

P(-4,-8)

Step-by-step explanation:

Given two lines:

[tex]y = 4x + 8;$ and $ \\y = -0.25x - 9[/tex]

To determine the point of intersection P of the lines, we equate the two lines and solve for (x,y).

[tex]4x + 8= -0.25x - 9\\4x+0.25x=-9-8\\4.25x=-17\\$Divide both sides by 4.25$\\x=-4\\$Recall:$\\y = 4x + 8\\=4(-4)+8\\=-16+8\\=-8[/tex]

Therefore, the intersection point P of the lines is: P(-4,-8)


A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph
models the function?

Answers

Answer:

The function is y = 40 * 2^(x/2)

The graph is in the image attached

Step-by-step explanation:

The function that models this growth is an exponencial function, that can be described with the following equation:

y = a * b^(x/n)

Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).

Then, using a = 40, r = 2 and n = 2, we have:

y = 40 * 2^(x/2)

If we plot this function, we have the graph shown in the image attached,

It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.

Answer:

b

Step-by-step explanation:

edge2020

Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van.

The equation 2b + 6 = 70 represents the given scenario. What does b represent?

Answers

Answer:

                                                                                                                                                     32

Step-by-step explanation:

2b+6=70

      -6=70-6=64

       [tex]\frac{2b}{2}[/tex]=64÷ 2

         b=32

beaten it's a visable line beween the equal line

For each pair of congruent triangles, name the corresponding parts then complete the congruence statement

Answers

Answer:

First one

Step-by-step explanation:

Carlos and his brother each made 72 cookies for the church bake sale. They sold the same amount of cookies each day over a three day period. Between the two of them how many cookies did the boys sell each day? A. 24 B. 48 C. 72 D. 144

Answers

Answer:

the answer is 144

Step-by-step explanation:

just add 72+72=144

If v varies directly as w, and v=24 when w=8, find the equation that relates v and w.

Answers

Answer:

v = 3w

Step-by-step explanation:

Given that

v ∝ w

The, v = k w ---------------(1)

Where k is the constant of proportionality

Now, v = 24, w = 8

Putting in (1)

24 = k(8)

Dividing both sides by 8, we get

k = 3

Putting k =3 in (1)

v = 3w

This is the required equation connecting both

ANSWER:
It is given that v varies directly as w.
V=24 and W=8
So,simpler way is 24/8=3
As ratio is written in the form of p/q.
So,we can say that v=3w.
HOPE IT HELPS!!!!
PLEASE MARK BRAINLIEST!!!!

What number is the arrow point at?

Answers

Answer:

see below

Step-by-step explanation:

The lines in between 2 and 3 are splitting it up into 5ths and because the arrow is pointing to the fourth one the answer is [tex]2\frac{4}{5}[/tex].

Select the correct location on the image.
Shelly evaluated this expression using the order of operations, but she made a mistake. Which step includes Shelly's mistake?
2^2(3-8)divided by 5 - 1
Step 1
=2^2(-5)divided by 5-1
Step 2
4(-5) divided by 5 - 1
Step 3
-20 divided by 5 -1
Step 4
= -20 divided by 4
Step 5
= -5

Answers

Answer:

Step 4

Step-by-step explanation:

Given: Steps used by Shelly to evaluate the expression

To find: step that includes Shelly's mistake

Solution:

According to PEMDAS,

P denotes Parentheses

E denotes Exponents

M denotes Multiplication

D denotes Division

A denotes Addition

S denotes subtraction

Step 3 is [tex]-20\div 5-1[/tex] and step 4 is [tex]-20\div 4[/tex]

In step 4, first subtraction operation has been applied before the division operation.

There is a mistake in step 4 as according to PEMDAS, first -20 should be divided by 5 then 1 should be subtracted from the resultant number.

Answer:

Step 4 is correct for plato

Step-by-step explanation:

-20 divided by 4.

the graph shows the speed of a vehicle during the final 50 seconds of a journey at the start of the 50 seconds the speed is k metres per second

Answers

Answer:

a) 27 m/s

b) 30 m/s

c)   i) 3

     ii) Deceleration

Step-by-step explanation:

The question is not complete, the correct question is given as:

The graph shows information about the speed of a vehicle during the final 50 seconds of a journey.  At the start of the 50 seconds the speed is k metres per second.  The distance travelled during the 50 seconds is 1.35 kilometres.

(a) Work out the average speed of the vehicle during the 50 seconds

(b) Work out the value of k.

(c) (i) Calculate the gradient of the graph in the final 10 seconds of the journey

    (ii) Describe what this gradient represents

Answer:

The graph is attached. The total time = 50 seconds, total distance = 1.35 km = 1350 m  

a) The average speed is the ratio of the total distance traveled to the total time taken to cover this distance. The average speed is given by the formula:

[tex]Average \ speed=\frac{total\ distance}{total\ time}\\ Substituting: \\ Average \ speed=\frac{1350\ m}{50\ s} = 27\ m/s[/tex]

b) From the graph, the total distance covered is the area of the graph. The graph is made up of a rectangle and triangle, the area of the graph is equal to the sum of area of rectangle and area of triangle.

[tex]Total \ distance=Total\ area=Area\ of \ rectangle+Area\ of \ triangle\\Total \ distance=(length *breadth)+\frac{1}{2}base*height\\1350 \ m=(40*k)+0.5*10*k\\1350=40k+5k\\45k=1350\\k=1350/45\\k=30\ m/s[/tex]c) i) The gradient in the last 10 seconds is the ratio of change in speed to change in time

[tex]Gradient=\frac{change\ in\ speed }{change\ in\ time}=\frac{0-k}{50-40} \\ bt \ k=30\\Gradient=\frac{0-30}{50-40}= \frac{-30}{10} =-3[/tex]

ii) Since the gradient is negative it means it is deceleration. That is in the in the last 10 seconds the vehicle decelerates at a rate of 3 m/s²

Answer:

Step-by-step explanation:

a)34 m/s

b) 40k=34

k=34/40

k=0.85 m/s

Please help!

Does this represent a linear function, non-linear function, or no function?

Answers

Answer: It would represent a linear function.

Step-by-step explanation:

Every time, the amount of blocks increase by 3, which would be the slope of it were on a graph, and it is constant. It’s not a quadratic nor an exponential function because it is not divided or multiplied at a certain factor, but it just adds by 3 each time.

Find the distance between the points.

(4,6),(9,6)

Answers

Answer:

5

Step-by-step explanation:

Find the difference between coordinates:

(x²-x1) = (9 - 4) = 5

(y²-y1) = (6 - 6) = 0

Square the results and sum them up:

(5)² + (0)² = 25 + 0 = 25

Now Find the square root

At summer camp, some people collected pine cones.
1
2
3
4
5
6
Pine cones found


What is the range of the numbers?

Answers

Answer:

5

Step-by-step explanation:

The range is the largest minus the smallest; 6-1= 5

Plss brainliest

First, subtract the minimum from the maximum to find the range

6 - 1 = 5

so your range is 5

Identify the polynomial. x3y3

Answers

Answer:

It's a Binomial

Step-by-step explanation:

can someone help and explain​

Answers

Answer:

12 4/3 =40

Step-by-step explanation:

I hope that help u

The interior angles of a triangle are 60,45and 75.the shortest side is 10cm less than the longest side, determine the perimeter of the triangle to the nearest cm.include a diagram please and thank you!!

Answers

Answer:

20 cm.

Step-by-step explanation:

We know that the permiter is defined as

[tex]P=L+S+M[/tex]

Where [tex]L[/tex] is the longest side, [tex]S[/tex] is the smallest and [tex]M[/tex] is the middle side.

If [tex]L=x[/tex] then, [tex]S=x-20[/tex], where we need to find an expression for [tex]M[/tex] using the law of cosines.

[tex]M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}[/tex]

Replacing all expression, the perimeter is

[tex]P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}[/tex]

Using a calculator, the perimeter is 20 units centimeters.

Please does know the answer

Answers

Answer:

69.08 cm

Step-by-step explanation:

Volume of each container

= l*b*h

= 20cm*30cm*50cm

= 30000cm ^3

= 0.03 m^3

The volume of 200 of these containers

= 0.03*200

= 6 m^3

The volume of the tank is also equal to 6m^3

Volume of tank = πr^2h

πr^2h= 6

πr^2= 6/4

r^2 = 6/4*7/22

= 42/88

= 0.477

r= √0.477

= 0.6908m

= 69.08cm

Answer:

Base radius  = 69.08 cm.

Step-by-step explanation:

Volume of each container = 20*30*50

= 30,000 cm^3

200 of these has a volume of  

200 * 30000

= 6,000,000 cm^3.

The volume of the cylinder = π r^2 h

= π r^2 * 400 = 6000000

r^2 = 6000000 / (π  * 400)

r^2 = 4774.65

r = 69.08 cm.

Can anyone explain to me what I did wrong here? Thanks!

Answers

Answer:

B

Step-by-step explanation:

I think you are right

Hope it helps

Ran's doctor is monitoring his heart rate. The equation h=65t represents the relationship between the number of beats of his heart (h) and the number of minutes that have passed (t). If 120 seconds have passed, how many times has his heart beat?

Answers

Answer:

130 times

Step-by-step explanation:

If you convert the time to minutes, 120 seconds is 2 minutes. Since Ran's heart beats 65 times a minute, you multiply 65 by 2 and get 130

How do I do this 3x + 5.2 = 2 - 5x

Answers

Answer:

x = -.4

Step-by-step explanation:

3x + 5.2 = 2 - 5x

Add 5x to each side

3x+5x + 5.2 = 2 - 5x+5x

8x +5.2 = 2

Subtract 5.2 from each side

8x +5.2 - 5.2 = 2-5.2

8x = -3.2

Divide each side by 8

8x/8 = -3.2/8

x = -.4

Answer:

x= -0.4

Step-by-step explanation:

3x+5.2=2-5x

Add 5x to both sides

8x+5.2=2

Subtract 5.2 from both sides

8x= -3.2

Divide both sides by 8

x= -0.4

I just realized my answer is really similar to Wegnerkolmp2741o so sorry if it seems like I'm copying them.

what is a listed method in mathematics

Answers

Answer:

Listing method is a method to list all the elements separating each element by the comma and enclosing

Step-by-step explanation:

DEFG is an isosceles trapezoid. Find the measure of 2 G.

Answers

Answer:

B

Step-by-step explanation:

In an isosceles trapezoid the upper base angles are congruent, thus

∠ G = ∠ D = 121° → B

Answer:

121

Step-by-step explanation:

i took the quiz

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A total of 33 direct labor-hours and 234 machine-hours were worked on the job. The direct labor wage rate is $18 per labor-hour. The Corporation applies manufacturing overhead on the basis of machine-hours. The predetermined overhead rate is $24 per machine-hour. The total cost for the job on its job cost sheet would be: can someone help me please A model of the carbon cycle is shown below.The Carbon-Oxygen Cyclecombustioncombustionrespirationvolcanicactivityrespirationphotosynthesisdissolutiondegasificationweathering &erosiondecay &sedimentationWhich of the following can be determined based on this model?A.The atmosphere is the only reservoir on Earth that can store carbon in any form.B.Both plants and animals release carbon dioxide into the atmosphere during cellular respiration.C.Dead organisms and waste products do not play any role within the carbon cycle.Factories do not emit any amount of carbon dioxide into the atmosphere. 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