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

Can someone pls help me with this?

Answers

communicative Property: (5+7) +3

Associative prop: (3+5) +7 or (3+7) +5

And the last one, I don’t fully understand what it is asking, but I believe it is asking for the answer which would be 15

URGENT!!! A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

Answer:

A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

c for child

a for adult

4c+ 6a ≤ 120  for build

4c +4a ≤ 100 for test

We want 20 child and 6 adult

4(20)+ 6*6 ≤ 120

80+36  ≤ 120

116  ≤ 120   true for build

4*20 +4*6 ≤ 100

80+24  ≤ 100

104 ≤ 100

False for test

Answer:

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

Please help please :( I will really appreciate it thank you

Answers

Answer:

an Altitude

Step-by-step explanation:

Its altitude indicated by point A to line BC

Answer:

Im pretty sure that would be an altitude

Step-by-step explanation:

I’ll mark you brainliest help!!! Which function is increasing?

Answers

Answer:

the answer is D. have a nice day :)

Since 3 is the largest number out of all of them. D. is the correct answer. :))

Please help! Correct answer only!
For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?

$___

Answers

Answer:

$4

Step-by-step explanation:

Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!

Need help fast
(X-5)^2+11=20

Answers

Answer:

X= 8, 2

Step-by-step explanation:

So, to solve answers like these you have to have to take the root of both sides and then solve.  Please let me know if you have any questions or if I did not answer it correctly or misunderstood the question so that I can help correct my mistakes.  Hope this helps!!

Answer:

Answer: (x-2) • (x-8)

(X-5)^2+11=20

Step by Step explanation:

1. 1 • 16 = 16

2. Find two factors of 16 which will be -10

-16 + -1 = -17

-8 + -2 = -10

3. x2 - 8x - 2x - 16

4. x • (x-8)

2 • (x-8)

5. (x-2) • (x-8)

(((( Yo Welcome)))

Hey so im really confused on how to rewrite problems into radical form, so I was wondering if anyone would be able to show me how to do It step by step?

Answers

Answer:

Step-by-step explanation:

Ok so, I'll try to make this explanation super simple for you.

The denominator will always go on the outside and the numerator will be on the inside. Let me give you an example.

Take x^2/3. The answer will be 3√(x^2). Do you see how the 3 is on the outside and the 2 is on the outside?

Take p^4/5. The answer will be 5√(p^4).

I hope this gives you a clear understanding.

Solve 5 + x - 14 = x - 7

Answers

Answer:

No solution

Step-by-step explanation:

5+x-14=x-7

-9+x=x-7

2+x=x

2=0

No solution

What is the measure of the supplementary angle of the 65˚ angle?

A.50˚
B.40˚
C.130˚
D.310˚

Answers

Answer:

115

Step-by-step explanation:

When two angles are supplementary, their measures must add up to 180 degrees. Therefore, if we call the other angle x:

x+65=180

x=180-65=115 degrees

Hope this helps!

Answer:

None of them

Step-by-step explanation:

Supplementary angles have 180 degrees

50+65=115

40+65=105

130+65=185

310+65=375

a factor of 30 is chosen at random, what is the probability that the number has 2 digits?

Answers

Answer:

3/8

Step-by-step explanation:

Let's first start by figuring out all the factors of 30.

They are as follows: 1, 2, 3, 5, 6, 10, 15, 30

30 has 8 factors in total.

3 of the factors have 2 digits.

Probability is number of desired outcomes/number of total outcomes.

We have 3 desired outcomes and 8 total outcomes.

Therefore, the probability that the factor chosen at random will have 2 digits is 3/8.

What is the solution to this system of linear equations? x + y = 4 x − y = 6 (4, 6) (6, 4) (5, −1) (−1, 5)

Answers

Answer:

x= 4 y = -1

(5,-1)

Step-by-step explanation:

x + y = 4 x − y = 6

Add the two equations together to eliminate y

x + y = 4

x − y = 6

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

2x = 10

Divide by 2

2x/2 = 10/2

x = 5

Now find y

x+y = 4

5+y = 4

Subtract 5 from each side

5+y-4 = 4-5

y = -1

Answer

5,-1

Step-by-step explanation:

edg 2020

On a compass, what bearing is South East?​

Answers

A bearing of 168.750° south by east

Stefani took a science test. she answered 42 questions correctly. There were 50 questions on the test. What percent of the questions did she get right?

Answers

Answer:

She get 84% right

Step-by-step explanation:

42 x 2 = 84

50 x 2 = 100

Answer:

84%

this is the picture of how I solved it.

hope you understand.

3w + 4u - 6
Simplify

Answers

Step-by-step explanation:

There are many different ways to simplify this. It could be

3(w-2)+4u , 2(2u-3)+3w , or something else.

What is another word for magnitude ​

Answers

Answer:

Step-by-step explanation:

Magnitude means size. Its a scalar quantity which means it is always positive and has no specific direction

Lets say you are driving East at 30 miles per hour. The magnitude would be 30. Same thing for going West. Youre technically going in the negative direction, but the magnitude is still 30

Another word for magnitude is "size" or "extent."

We have,

Magnitude refers to the size, quantity, or intensity of something.

It is a measure of the absolute value or scale of a particular attribute or characteristic.

In various contexts, magnitude can refer to physical quantities such as length, mass, or force, where it describes the amount or extent of that particular quantity.

It can also be used to describe the intensity or severity of events or phenomena, such as the magnitude of an earthquake or the magnitude of a problem.

Essentially, magnitude provides a sense of the relative scale or importance of something within a given context.

Thus,

"size" or "extent." are the other words for magnitude,

Learn mroe about magnitude here:

https://brainly.com/question/32106396

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fully Factorise 7m^2 + 13m​

Answers

Answer:

[tex]m(7m + 13)[/tex]

Step-by-step explanation:

[tex]7m {}^{2} + 13m \\ m(7m + 13)[/tex]

Find any 6 ratinol numbers between -5/6 and 5/8​

Answers

Answer:

There is a variety of answers. you will find an example below

Step-by-step explanation:

To find the rational numbers between 2 fractions/rational numbers, we have to find the LCM of the denominator, which would increase the value of the numerator. This way you will have more rational numbers between the two.

- 5/6 = -40 / 48

5 / 8 = 30 / 48

Now, we can notice that there is a difference of 70 between the 2. this means you may choose 6 out of these. Here is an example(some of them are simplified)

5/16, 5/8, 7/48 , 1/6 , 2/6, -1/2.

Hope this helps

Please answer I need help no rush.

Answers

Answer:

12 divided by -6

Step-by-step explanation:

12÷(-6) (3) + (-2)

PEMDAS

P  There are no operations inside the parentheses

E There are no exponents

MD  Multiply and divide from left to right

12 divided by -6 is the first from left to right

if MNL is congruent to TUS, then NL is congruent to ?​

Answers

Answer:

NL is congruent to US.

Answer:

d. NL ≅US

Step-by-step explanation:

ΔMNL ≅ ΔTUS

follow the order in ≅ statement meaning that MN ≅ TU,NL ≅US, ML ≅ TS

True or false All irrational numbers are real numbers. Explain

Answers

In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers. Irrational numbers can also be expressed as non-terminating continued fractions and many other ways.

The answer is True

The statement that all irrational numbers are real numbers is true.

Real number is a union of rational number and irrational numbers.

An irrational number is a number that cannot be expressed as a fraction or ratio of two integers. All the root values, repeating values, comes under irrational numbers.

Since irrational numbers can still be plotted on the number line, they are considered real numbers. Therefore, all irrational numbers are also real numbers.

Thus, all irrational numbers are also real numbers.

Yes, the given statement is true.

Learn more about irrational numbers here:

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What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one-third. Under the 3 boxes are 4 boxes containing one-fourth. Under the 4 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction. 2 and one-fourth 2 and three-fourths 3 and one-third 3 and two-thirds

Answers

Answer:

2 and three-fourths

Step-by-step explanation:

Given the expression [tex]\frac{11}{12}/\frac{1}{3}[/tex], the equivalent expression can be gotten as shown;

[tex]= \frac{11}{12}/\frac{1}{3}\\= \frac{11}{12}*\frac{3}{1}\\ = \frac{11}{4} \\= 2+\frac{3}{4}\\ = 2\frac{3}{4}[/tex]

2 and three-fourth therefore gives the required expression

Answer:

2 and three-fourths

Step-by-step explanation:

Given the expression , the equivalent expression can be gotten as shown;

Step-by-step explanation:

5. A square room is covered by a number of whole rectangular slabs of sides 60cm and
42cm.
a) Find the area of the slab.
(2 marks)

Answers

hope it helps you :-)please mark me as brainliest :-) | (-:

Factor 12x−54 using the GCF.

Answers

Answer:

6(2x-9)

Step-by-step explanation:

The two numbers in question are both even, so we can see that we can pull out 2, giving us:

2(6x -27)

Looking at this, we can see that we can no longer pull out 2, but we can pull out 3, giving us:

6(2x-9)

This can be simplified no further, so this gives us the final answer, where the GCF is 6.

What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)? Help please☹

Answers

Answer:

y=3/4x+17/4

Step-by-step explanation:

Answer:

y = (3/4)x + 17/4

Step-by-step explanation:

The slope-intercept form of the equation of the line is  y = ax + b

This line passes (-3, 2) and (1, 5)

=> 2 = a(-3) + b

=> 5 = a(1) + b

Subtraction 1st equation from 2nd equation, we have:

3 = 4a

=> a = 3/4

From 2nd equation, we have: 5 = 3/4 + b

=> b = 5 - 3/4 = 17/4

=> y = (3/4)x + 17/4

Hope this helps!

A plumber charges $70 per hour plus $40 for the call. What does he charge for 4 hours of work? Use x to represent the hours of work.

Answers

Answer:

Step-by-step explanation:

70x4 is 280 plus 40 is 320.

Answer:

$320

Step-by-step explanation:

(4 x $70) + $40 is the equation

$280 + $40 = $320

$320

-5/3 x(-1/8)weurEzzrtx

Answers

Answer:

-5/3 x (-1/8 )= 5/24 = 0.2083333

Step-by-step explanation:

The graph represents Daniel's bike ride from his home to the ballpark and then back home. Which BEST describes Daniel's bike ride between points C and D?
The time Daniel spent gradually speeding up

the time daniel spent gradually slowing down.

Daniel's fastest rate of speed during his ride.

The time Daniel spent at the ballpark.

Answers

the slope of the line between c and d are  a constant meaning that he must have been riding at the same speed or something

d

Answer:

On the graph, the distance remains constant between points C and D over a period of time. Therefore, Daniel has stopped.

write a rule for the nth term of the sequence 15, 19, 23, 27

Answers

Answer:

aₙ= 4n+11

Step-by-step explanation:

the sequence 15, 19, 23, 27

is AP with the first term 15 and

the common difference 19-15=23-19=27-23= 4

aₙ= a₁+(n-1)d

aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11

aₙ= 4n+11

What is the quotient of y/4 divided y/8

Answers

Answer:

2

Step-by-step explanation:

when you divide fraction, you flip the second fraction and change to multiply

y/4 *8/y =8/4 =2

Answer:

2

Step-by-step explanation:

[tex]\frac{y}{4}[/tex]÷[tex]\frac{y}{8}[/tex]

= [tex]\frac{y}{4}[/tex] × [tex]\frac{8}{y}[/tex]

= [tex]\frac{8y}{4y}[/tex]

= 2

Hope this helps <_>

1:750 scale model of the Sydney Opera House after a trip to Australia. The length of the model is 24.4 centimetrers. Find the actual length x (in meters) of the Sydney Opera House.

Answers

Answer:

183 meters

Step-by-step explanation:

A 1:750 scale model means that each cm on the model corresponds to 750 cm of the actual Sydney Opera House. If the model is 24.4 centimeters long, the actual Opera House has a length of:

[tex]x = 24.4*750\\x=18,300\ cm\\x=183\ m[/tex]

The actual length of the Sydney Opera House is 183 m.

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