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

what is log 8/3 base 5 ​

Answers

Answer:

3 to the power of 8 / 5

Step-by-step explanation:

Help me
-ayyyyy

Idk I’m just having fun

Answers

Answer:

Step-by-step explanation:

A

Answer:

i think its A happy to help ya :)

Step-by-step explanation:

what is 15 minutes to 1 hour

Answers

Answer:

1:4 or 25% or 1/4

Step-by-step explanation

There are 60 minutes in an hour and 60 divided by 15 is four. So basically, 15 minutes is 1/4 of an hour, 25% of an hour, and 1:4 of an hour.

Here is a list of numbers 17 21 14 17 12 15 16 A) work out the range of the numbers B) work out the mean of the numbers in the list

Answers

Answer:

Given below

Range: 9

Mean: 16

Hope it helps:)

Step-by-step explanation:

The data is given in the question

Range-

All we need to do is find the difference between the largest data value in our set and the smallest data value. Stated succinctly we have the following formula:

Range = Maximum Value–Minimum Value

= 21- 12

= 9

Mean-

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. The formula is:

Sum of term/ number of terms = mean

= 17+21+14+17+12+15+16/7

= 112/7

= 16

The range and the mean of the given data are 9 and 16 respectively.

What is range?

The range is the difference between the smallest and highest numbers in a list or set.

Given that, a data 17, 21, 14, 17, 12, 15, 16,

a) Range = The difference between the lowest and highest values

= 21-12

= 9

b) Mean = (sum of all data)/(number of data)

=  (17+ 21+ 14+ 17+ 12+ 15+ 16)/7

= 112/7

= 16

Hence, The range and the mean of the given data are 9 and 16 respectively.

For more references on range, click;

https://brainly.com/question/28135761

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Me pueden ayudar en este problema de potencia antonio tiene3 cajas , en cada caja hay 3 botones que contienen 3 lapices cuantos lapices habra en total

Answers

Answer:

23 lapices

Step-by-step explanation:

Él tiene 3 cajas.

Cada caja contiene 3 botones.

Cada botón contiene 3 lápices.

La cantidad de lápices que tendrá en total es:

[tex]N = 3 * 3 * 3 = 3^3 = 27[/tex]

Tendrá 23 lápices

Record 3 2/25 as a decimal. Please help!!!!!

Answers

Answer:

1.28 is the decimal form

Step-by-step explanation:

and 128/100 or 128% is the percentage for 32/25.

// have a great day //

The answer is 3.08


3+2/25
= 3.08
= 308%

A new lawn has a perimeter of 278 ft. and a width of 64 ft. A bag of grass seed will cover 384 ft 2of ground. How many bags of grass seed are needed to seed the new lawn? A. 4.34 B. 6 C. 10.25 D. 12.5

Answers

Answer:

12.5 bags

Step-by-step explanation:

This problem is on the mensuration of flat shapes

Given

perimeter of lawn = 278 ft

width of lawn = 64 ft

1. we need to solve for the length of the lawn

2. we also  we need to solve for the area of the lawn

perimeter of lawn= 2(width) + 2(length)

substituting our data we have

let the length be x

[tex]= 278= 2(64) + 2(x)\\\=278= 128+2x\\\=278-128= 2x\\\=150=2x\\\\\x=\frac{150}{2} \\\x= 75ft[/tex]

the length is 75 ft

the area of the lawn is [tex]75*64= 4800ft^2[/tex]

if a bag will cover[tex]384ft^2[/tex]

to cover the lawn we will need

[tex]\frac{4800}{384} \\=12.5 bags[/tex]

Calculate the probability of all three events occurring.

Answers

Answer:

even = 1/2

prime = 1/2

multiple of 5 = 1/6

Step-by-step explanation:

probability is the chances of obtaining a certain result out of many attempts.

when rolling a die, the maximum number of results you can get is 6

Then, calculate how many times each of the occurrences appear(even, prime or multiples of 5)

Even = There are only 3 even numbers from 1 to 6

Prime: There are only 3 primes from 1 to 6

Multiples of 5 = There is only one multiple of 5.

Now you present each of this out of 6:

Even: 3/6 = 1/2

Prime: 3/6 = 1/2

Multiple of 5 = 1/6

This can also be presented as a decimal or percentage:

Even: 50% = 0.5

Prime: 50% = 0.5

Multiple of 5 = 16.67% = 0.16

Hope this helps.

Good Luck

Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?

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

Answers

Step-by-step explanation:

Well they made 19 clay, where 12 were vases. That means 7 were not vases. She randomly chooses 16 clay objects, which then also means 3 were left behind. so if the vases are  12/19, which is approximately 63%, then 63% of the objects are vases. Makes sense, right? Well now we need to multiply that by the initial 11 in the question. After all of this work..

Answer: 6.9474 or 6.94736.

Please mark as Brainliest.

answer quickly plzzz

Answers

Answer:

Your answer of [tex]-\frac{39}{8y}[/tex] is correct

Step-by-step explanation:

We begin with the expression: [tex]-\frac{4}{y} +(-\frac{7}{8y} )[/tex]

First, we need to find a common denominator, which in this case would be 8y.

To make the first term have a denominator of 8y, we must multiply it by [tex]\frac{8}{8}[/tex]

[tex]-\frac{4}{y}(\frac{8}{8}) +(-\frac{7}{8y} )\\\\-\frac{32}{8y} +(-\frac{7}{8y} )[/tex]

Now we can add them to get our final answer.

[tex]-\frac{39}{8y}[/tex]

The hard-cover edition of a book cost 3 times as much as the paperback edition. Both editions together cost $26.60. Find the cost of each.

Answers

Answer:

the hardcover is 19.95, and the parback is 6.65. enjoy.

Draw the line with equation x+y=2

Answers

Answer:

Arrange the variables to y intercept form: y=-x+2. We have the slope is -1, and the y intercept is 2. You should be able to draw a line from here.

Step-by-step explanation:

What is the slope of the line that contains the points (-2, 1) and (0, -3)?

Answers

Answer:

-2

Step-by-step explanation:

To find the slope we use the formula

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

   = (-3-1)/(0- -2)

  = -4 / (+2)

  = -2

Answer each question and explain your reasoning.
How long is 75% of 60 minutes?​

Answers

Answer:

45 minutes

Step-by-step explanation:

75% is the same as [tex]\frac{3}{4}[/tex]. This means that we can multiply 60 by  [tex]\frac{3}{4}[/tex] to find 75% of 60.

[tex]60*\frac{3}{4} \\\\\frac{180}{4} \\\\\frac{90}{2}\\\\45[/tex]

Answer:

45 minutes

Step-by-step explanation:

Of means multiply

75% * 60

Change to a decimal

.75 * 60

45

45 minutes

Factor the expression completely.
18x2 - 32
O A. 2(3x + 2)(3x – 8)
B. 2(9x2 - 16)
O C. 2(3x - 4)(3x - 4)
O D. 2(3x + 4)(3x - 4)

Answers

Answer:

[tex]\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}[/tex]

Step-by-step explanation:

      [tex]A = 18x^{2} - 32\\[/tex]

Find the sharing components:

<=> [tex]A=2*9*x^{2} - 2*16[/tex]

Apply the inverse of associative property:

<=> [tex]A = 2(9x^{2} - 16)[/tex]

Identify two square components inside the parenthesis:

<=> [tex]A = 2((3x)^{2} - 4^{2} )[/tex]

Factorize:

<=> [tex]A = 2(3x + 4)(3x - 4)[/tex]

=> Option D is correct

Hope this helps!

:)

What is the square root of -1

Answers

Answer:

i

Step-by-step explanation:

[tex]\sqrt{-1}[/tex] is the same thing as i, which is an imaginary number.

Since you can't take the square root of negative numbers, we use i to do it.

Which statement is true about the graphs of the two lines y = -4/5x + 2 and y = -5/4x - 1/2?

Statements:
1. The lines are perpendicular to each other because -4/5 and -5/4 are opposite reciprocals of each other.
2. The lines are perpendicular to each other because 2 and -1/2 are opposite reciprocals of each other.
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
4. The lines are neither parallel nor perpendicular to each other because 2 and -1/2 are not opposite reciprocals of each other.

Answers

Answer:

3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.

Step-by-step explanation:

Our answer is

3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.

Because [tex]-\frac{5}{4}[/tex] and [tex]-\frac{4}{5}[/tex] are not opposite reciprocals because they share the same sign ( - ).

Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.

To determine if two lines are perpendicular, we need to compare their slopes. If the slopes are negative reciprocals of each other, the lines are perpendicular.

Let's analyze the slopes of the given lines:

Line 1: y = -4/5x + 2

The slope of Line 1 is -4/5.

Line 2: y = -5/4x - 1/2

The slope of Line 2 is -5/4.

To check if these slopes are negative reciprocals, we need to invert one of the slopes and change its sign. Let's invert the slope of Line 1:

Inverted slope of Line 1: -5/4

The inverted slope of Line 1 is not equal to the slope of Line 2 (-5/4 ≠ -5/4). Therefore, the slopes are not negative reciprocals of each other.

Hence, Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.

To know more about slopes, refer here:

https://brainly.com/question/29243356

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What is the area of the triangle shown below?

Answers

Answer:B: 40 squ. Units!

Step-by-step explanation:

Hope this helps

Answer:

40sq. Units

Step-by-step explanation:

I just did it

Need help plotting this on a number line

Answers

Answer:

Fill in the long -5/2 on the number line and draw a ray extending to the left

Step-by-step explanation:

I need help showing my work for the picture I've attached! I already have the answer as you can see below :)

Answers

Answer:

3x²y∛y

Step-by-step explanation:

∛27x⁶y⁴= ∛3³(x²)³y³y= 3x²y∛y

Wang Xiu Ying is gift wrapping boxes in the shape of a cube for her class fundraiser. She calculates that the surface area, S SS, in square feet, of a cube-shaped box with a side of m mm feet is given by the function S ( m ) = 6 m 2 S(m)=6m 2 S, left parenthesis, m, right parenthesis, equals, 6, m, squared. She also finds that the cost, C CC, in dollars, of wrapping a box with a surface area of x xx square feet is given by the function C ( x ) = 0.15 x + 0.25 C(x)=0.15x+0.25C, left parenthesis, x, right parenthesis, equals, 0, point, 15, x, plus, 0, point, 25. Find an explicit expression that models the costs of wrapping a cube shaped box with a side length of m mm feet.

Answers

Answer:

[tex]C(m)=0.9m^2+0.25[/tex]

Step-by-step explanation:

The surface area of a cube-shaped box with a side of m feet is given by the function:

[tex]S(m)=6m^2[/tex]

The cost, C, in dollars, of wrapping a box with a surface area of x square feet is given by the function:

[tex]C ( x ) = 0.15 x + 0.25[/tex]

We want to find an explicit expression that models the costs of wrapping a cube-shaped box with a side length of m feet.

In the cost function, C(x), x is the surface area, therefore:

[tex]S(m)=x;$ and$\\C ( S(m) ) = 0.15(6m^2) + 0.25\\C(m)=0.9m^2+0.25[/tex]

To find the cost of wrapping a cube of side length m feet, we use the explicit function:

[tex]C(m)=0.9m^2+0.25[/tex]  

the length of two parallel sides of a trapezium are 91 cm and 51 cm and the length of two other side 37 CM and 13 cm respectively determine the area of trapezium​

Answers

Answer:

903 sq. cm.

Step-by-step explanation:

It is given that the length of two parallel sides of a trapezium are 91 cm and 51 cm and the length of two other side 37 CM and 13 cm respectively.

Now draw a dotted line as shown in the below figure. So, we have a triangle with sides 13 cm, 37 cm, 40cm and a parallelogram with sides 51 cm, 13 cm.

Area of parallelogram is

[tex]A_1=base\times height[/tex]

[tex]A_1=51\times 13[/tex]

[tex]A_1=663[/tex]

Using heron's formula, area of triangle is

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where, [tex]s=\dfrac{a+b+c}{2}[/tex].

The sides of triangle are 13cm, 37 cm, and 40 cm.

[tex]s=\dfrac{13+37+40}{2}=45[/tex]

Area of triangle is

[tex]A=\sqrt{45(45-13)(45-37)(45-40)}=240[/tex]

The area of trapezium is

[tex]A=A_1+A_2=663+240=903[/tex]

Therefore, the area of trapezium is 903 sq. cm.

can someone please help me with this?

Answers

Answer:

13) 13.7     14) 78.3 cm

Step-by-step explanation:

13)   6²+x²=15²

       x = 13.7

14)   2πr/2 = 2(3.14)(5.5)/2 = 17.3

      25 + 11 + 25 + 17.3 = 78.3 cm

Toilet rolls come in packs of 4 and 9
The 4 pack is priced at £2.04
The 9 pack is priced at £4.68
By calculating the price per toilet roll, determine which pack is better value . Show your working

Answers

Answer:

4 pack priced at £2.04 is better value deal.

Step-by-step explanation:

The 4 pack is priced at £2.04

cost of one pack will be equal total price divided by no. of roll in one pack

cost of one pack will be  £2.04 /4 = £0.51

The 9 pack is priced at £4.68

cost of one pack will be  £4.68 /9 = £0.52

As price per toilet roll for  4 pack is  £0.51 which is less than

price per toilet roll for  9 pack which is  £0.52

4 pack priced at £2.04 is better value deal.

Answer:

4 pack priced at £2.04 is better value deal.

Step-by-step explanation:

A recipe for a batch of blueberry muffins calls for 3/5

the cup of blueberries. If Riley wants to make 1/2

a batch of muffins for herself and her tennis partner, how many cups of blueberries will she need?

Riley will need cups of blueberries.

Answers

Answer:

3/10

Step-by-step explanation:

Half of 3/5 is 3/10

Brainliest plss

Answer:

3/10

Step-by-step explanation:

You multiply 3/5 by 1/2.

3/5 x 1/2= 3/10

Hope I could help :)

Which of the following ratios forms a proportion with 4/15?
A: 8/20
B: 7/18
C: 12/45
D:6/25

Answers

I think is answer c 12/45

Answer:

C: 12/45

Step-by-step explanation:

You have to divide the numerator and the denominator by the same number, and if once you divide it you get the fraction then it's the right answer. So lets take 12/45 and try it.

12/3 =4

45/3 =15

4/15

Which graph represents an odd function? There are 6 points ona coordinate plane. The points ]are (negative 5, 3), (negative 3, 1), (negative 1, 1), (1, 3), (3, negative 5), (5, negative 1). There are 8 points on a coordinate plane. The points are (negative 4, 2), (negative 3, negative 1), (negative 1, negative 3), (0, 1), (1, 0), (2, negative 4), (4, 5), (5, 4). There are 8 points on a coordinate plane. The points are (negative 4, 0), (negative 3, 1), (negative 2, negative 3), (negative 1, negative 2), (1, 2), (2, 3), (3, negative 1), (4, 0) There are 11 points on a coordinate plane. The points are (negative 4, 3), (negative 4, 4), (negative 3, 5), (negative 2, 1), (negative 1, negative 1), (0, negative 3), (1, negative 1), (2, 1), (3, 5), (4, 3), (4, 4).

Answers

Answer:

Option C.

Step-by-step explanation:

Let as consider f(x) is a function.

If [tex]f(-x)=f(x)[/tex], then f(x) is even function.

If [tex]f(-x)=-f(x)[/tex], then f(x) is odd function.

It means, if (x,y) is a point of the function, then (-x,-y)is also a point of the function.

In option A, (-5,3) is a point of the function, but (5,-3) is not a point of the function.

So, function in option A is not an odd function.

In option B, (-4,2) is a point of the function, but (4,-2) is not a point of the function.

So, function in option B is not an odd function.

In option C,

If (-4,0) is a point of function, then (4,0) is also the point of the function.

Similarly, (-3,1) and (3,-1), (-2,-3) and (2,3), (-1,-2) and (1,2) are points of the function.

So, function in option C is an odd function.

In option D, (-4,3) is a point of the function, but (4,-3) is not a point of the function.

So, function in option D is not an odd function.

Answer:

C

Step-by-step explanation:

on EDGE 2023

What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?


The sum is a trinomial with a degree of 5.
The sum is a trinomial with a degree of 6.
The sum is a binomial with a degree of 5.
The sum is a binomial with a degree of 6.

Answers

Answer:

The sum is a binomial with a degree of 6

Step-by-step explanation:

we have

(3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)

Group terms that contain the same variable

(3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y

0-2xy^{5}+3x^{4}y

-2xy^{5}+3x^{4}y

The sum is a binomial ( two terms) with a degree of 6  

-2xy^{5} has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)

Answer:

D. The sum is a binomial with a degree of 6

Step-by-step explanation:

a zoo has 15 toucans and 60 parrtos

Answers

Answer:

It has 75 birds

Step-by-step explanation:

Hope that's the answer since I can't get the question

1/3 of the members Voted know what fraction of the members did not know

Answers

Answer:

2/3 did not vote no

Step-by-step explanation:

1/3 voted no

The total is 1

1 - 1/3

3/3 -1/3

2/3 did not vote no

Other Questions
The functional groups in an organic compound can frequently be deduced from its infrared absorption spectrum. A compound containing C, H, and O exhibits broad absorption at 3450 cm^-1 (m) and an intense band at 1725, plus a band at 1100 cm^-1 (m). Relative absorption intensity: (s) = strong, (m) = medium, (w) = weak. What functional class(es) does the compound belong to? List only classes for which evidence is given here. Attach no significance to evidence not cited explicitly. Do not over-interpret exact absorption band positions. None of your inferences should depend on small differences like 10 to 20 cm^-1. The functional class(es) of this compound is(are)________. (Enter letters from the table below, in any order, with no spaces or commas.)a. alkane (List only if no other functional class applies.) b. alkene h. aminec. terminal alkyne i. aldehyde or ketoned. internal alkyne j. carboxylic acide. arene k. esterf. alcohol l. nitrileg. ether For the RC circuit and the RL circuit, assume that the period of the source square wave is much larger than the time constant for each. Make a sketch of vR(t) as a function of t for each of the circuits? Write a paragraph explaining how someone could improve their cardiovascular endurance. Include realistic goals, types of exercises, and how much aerobic activity someone should be getting. In the accounting equation, assets are equal to liabilities plus what?A Owner equityB RevenueC. AccountsD. InterestPlease select the best answer from the choices providedABO O OD which mythical features are present in the beginning of the maasai What is not one of the top health concerns in the United States leave answer in simplest radical form thank you for the help PLEASEEE HEEELPP!!! Read the excerpt below and answer the question. "She would of been a good woman," The Misfit said, "if it had been somebody there to shoot her every minute of her life." In this excerpt from A Good Man is Hard to Find, Flannery OConnor suggests that the grandmother . A) could only have been if constantly under duressB) could not have been killed if she had been a better womanC) was only a good woman when seen through a camera lens D) was a good woman who did not deserve the fate she received Find the surface area of the prism. -23d + 81 HELP PLEASE!!COMMONLIT: I AM THE PEOPLE, THE MOBHow does the use of repetition contribute to the mood of the poem? What can you conclude about the daughters, based on the passage? Check all that apply.They struggle to fit in.They feel supported by their mother.They value their mothers advice.They embrace American culture.They want to leave New York. A gardener made a scale drawing of a lawn with a scale factor of 1:10. Thedimensions of her drawing are 7 inches long by 3 inches wide. Her partner plansto make another scale drawing of the lawn, but with a scale factor of 1:2.What are the dimensions of her scale drawing?5 of 16 QUESTIONSThe length is 0.6 inch and the width is 1.4 inches.The length is 15 inches and the width is 35 inches.The length is 35 inches and the width is 15 inches.The length is 1.4 inches and the width is 0.6 inchSUB Determine if the sequence -184, -207, -230, -253,... is arithmetic or geometric. Then identify the next term inthe sequence.a arithmetic; -23b. arithmetic; -276c. geometric; -23d. geometric; -276 Write a police report for one ofShelters victims think aboutwhat notes the police would makefor a disappearance..Stone cold What is the equation of a circle with radius, r = V14, and the center at (- 10. 8) Will mark Brainliest if correct!!What is the rationale behind the gaming capitals engagementstrategy?A. the human need for technologyB. the human need for socializationC. the human need for validationD. the human need for learning A force of 640 newtons stretches a spring 4 meters. A mass of 40 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 6 m/s. Find the equation of motion. Why is China called a Republic?