Please help! 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

Please help me I’m stuck.

Answers

Answer:

Step-by-step explanation:

We will use the general area formula for finding the area of triangle when you are given information for SAS, which we have been.

[tex]A=\frac{1}{2}absinC[/tex] , where a and b are the given side lengths and C is the included angle. You can ONLY use this when you have the info for SAS in a triangle. For us,

a = 17, b = 15 and C = 35 degrees.  Filling in:

[tex]A=\frac{1}{2}(17)(15)sin35[/tex]

Do that on your calculator in degree mode and you'll find the area to be

73.1 meters squared

What is the value of this discriminant?

Answers

Answer:

The answer is A.

Step-by-step explanation:

The formula of discriminant is D = b² - 4ac using ax² + bx + c. In this question, a is 1, b is -4 and c is 4. Then substitute the values into the formula :

D = b² - 4ac

D = (-4)² - 4(1)(4)

= 16 - 16

= 0

I think that the answer is a bit I’m not too sure

Can someone plz help me solved this problem plz! I need help ASAP! Plz help me solved this problem

Answers

For question A it’s y= 2/7
For question B it’s y=8/7

Answer:

1) 3.5

2) 0.875

5)7y -14

Step-by-step explanation:

1)7y= 0+2

Y= 2/7=

3.5

2)7y= 6+2=8

Y= 8/7=0.875

5) I just multiplied outside value which is7 with the value inside the bracket

I just solve the one I know.

Answer fast!!
The diagram represents three statements about teachers: p, q, and r.



For how many teachers are both p ∧ r true and q false?

2
4
5
9

Answers

Answer: 5

Step-by-step explanation:

For how many teachers are both p ∧ r true and q false?

(p ∧ r) ∧ (q')

q' = q complement (not in q)

p intersection r = (p ∧ r) = 9

both p ∧ r true and q false = (8+6) - 9

both p ∧ r true and q false = 14 - 9 = 5

OR

p + r - p ∧ r

8 + 6 - 9 = 14 - 9 = 5

Answer:

The answer is C (5) on Edge.

Step-by-step explanation:

Yang–Mills existence and mass gap. Solve that ur a genius

Answers

Answer: DescriptionIn mathematical physics, the Yang–Mills existence and mass gap problem is an unsolved problem and one of the seven Millennium Prize Problems defined by the Clay Mathematics Institute, which has offered a prize of US$1,000,000 for its solution. The problem is phrased as follows: Yang–Mills Existence and Mass Gap.

Find the angle A if angle B is 60 degrees and angle A and angle B are complementary

Answers

Answer:

30 degrees

Step-by-step explanation:

Complimentary = 90 degrees

90 - 60 = 30 degrees

What is the domain of the function shown on the graph?

Answers

Answer:

Step-by-step explanation:

Looking at the arrows on the graph, it appears that as the graph keep growing UP unbounded, it also keeps growing to the left unbounded (to negative infinity, to be exact). Looking to the right, it appears that as the graph decreases unbounded (the y values keep getting smaller), the graph keeps growing in the x direct to positive infinity. So the domain is

- ∞ < x < ∞

Which planet is more than one astronomical unit from the Sun? A. Mars B. Earth C. Venus D. Mercury

Answers

Answer: Earth

Step-by-step explanation:

Planet (or Dwarf Planet) Distance from the Sun (Astronomical Units miles km) Number of Moons

Mercury 0.39 AU, 36 million miles 57.9 million km 0

Venus 0.723 AU 67.2 million miles 108.2 million km 0

Earth 1 AU 93 million miles 149.6 million km 1

Mars 1.524 AU 141.6 million miles 227.9 million km 2

what is 40.8 ÷ 6? Please explain how you got your answer​

Answers

Answer:

6.8

How many 6's can go into 40?

6 + 6 + 6 + 6 + 6 + 6 = 36

6 6's

Subtract the amount off

40.8-36=4.8

How many 6's can go into 4.8?

0.6 + 0.6 +0. 6 + 0.6 + 0.6 + 0.6 + 0.6 + 0.6 = 48

0.8 6's

4.8 = 4.8 = 0

6 6's + 0.8 6's = 6.8 6's

6.8 is the answer

If you have any questions you can ask

Step-by-step explanation:

Can someone please help me

Answers

Answer:

1) Yes

Product of Means = Product of Extremes

4 × 21 = 7 × 12

84 = 84

2) No

Product of Means = Product of Extremes

2 × 2 = 3 × 3

4 ≠ 9

3) No

Cross multiplying

3 × 6 = 4 × 8

18 ≠ 32

4) Yes

Cross Multiplying

1 × 25 = 5 × 5

25 = 25

Answer:

Step-by-step explanation:

1) 4 : 7   ? 12 : 21

If product of mean is equal to product of extremes, then they are proportion

Product of extremes = 4*21  = 84

Product of mean = 7 * 12 = 84

Product of extremes = Product of mean

They are in proportion

4 : 7 :: 12 : 21

2) 2 : 3 ? 3: 2

Product of extremes = 2*2 = 4

Product of mean = 3*3 = 9

Product of extremes ≠ Product of mean

They are not in proportion

2 : 3 ≠ 3 : 2

3) 3/4 ?  8/6

3 : 4 ?  8:6

Product of extremes = 3 * 6   = 18

Product of mean = 4 * 8 = 24

Product of extremes ≠ Product of mean

They are not in proportion

3 : 4 ≠ 8 : 6

4) 1/5  ? 5/25

1:5  ? 5 : 25

Product of extremes = 1 * 25 = 25

Product of mean = 5 * 5 = 25

Product of extremes = Product of mean

They are in proportion

1 : 5  :: 5 : 25

2. A triangle with angle measures 48 degrees, 65 degrees, and 67 degrees is a(n) ________ triangle. *

Answers

__________________________________

The right answer is Acute.

Explanation

Acute angle triangle are those which is more than 0 degree and less than 90 degree.

Hope it help

Good luck on your assignment

________________________________

A counterexample for sinytany=cosy is 0 degrees
true or false?

Answers

Answer:

False

sin (y) / cos (y) = cos (y)

cos (y) could be any value from -1 to 1.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

A pool in the shape of a rectangular prism holds 648 cubic feet of water. The pool is 4 feet deep and 9 feet wide. What is the length of the pool in feet? *

Answers

Answer: The length is 18 feet.

Step-by-step explanation:

4 * 9 * l = 648   where l is the length in feet.

36 * l = 648

36l = 648

l = 18

I WILL MARK YOU BRAINLIEST!!!!! What is the slope of the linear parent function?

Answers

Answer:

Step-by-step explanation:

The slope would be determined either by a graph or a equation

you didn't put it in the  picture...

Please help correct answer will be given brainiest!

Answers

Answer:

-12

Step-by-step explanation:

Each number is multiplied by -3 to get the next number. 4*(-3)=-12.

Which of the following polygons can form a regular tessellation?

Answers

Answer:

option A.

Step-by-step explanation:

The regular polygons that can be used to form a regular tessellation are an equilateral triangle, a square, and a regular hexagon.

HOPE THIS HELPS.

Answer:

a

Step-by-step explanation:

I Need help please!!

Answers

Answer:

D is answer. So if we do -2 * 3 we get -6, -6-4 = -10. Well that doesn't work for a because its 10 not -10. But we have spotted something already. We do have -2 and -10. Those two work we just tested it, but A doesn't work. The only pair that has the -2 and -10 is d. Sorry for bad english, its not native language

Answer: D

Answer:

d

Step-by-step explanation:

find the value of A when pi= 3.142 and r= 5

Answers

Answer:

7.855

Step-by-step explanation:

A=pi*r^2=3.142*5^2=3.142*25=7.855

The value of A = 7.855 units.

What is area of circle?

The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately  3.142

Here, given that,

r= 5 units

Then, A=pi*r^2

            =3.142*5^2

            =3.142*25

            =7.855

hence, the value of A = 7.855 units.

To learn more on area of circle click:

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Heather and Carlos each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Heather spent $171 on 14ft^2 of grass sod and 5 geraniums. Carlos spent $117 on 6ft^2 of grass sod and 7 geraniums. Find the cost of one ft^2 of grass sod and the cost of one geranium.

Answers

Answer:

The cost of one ft^2 of grass sod = $9

the cost of one geranium= $9

Step-by-step explanation:

Hi, to answer this question we have to write a cost equation for each one:

Heather : 14x+5y =171

Carlos: 6x+7y=117

Where x is the cost of one ft^2 of grass sod and y is the cost of one geranium.

Multiplying Heather's equation by 7, Carlos' equation by 5, and subtracting Carlos' cost to Heather's cost:

98x+35y=1,197

-

30x+35y=585

____________

68x=612

Solving for x:

x = 612/68

x=$9 per ft2

Replacing x=9 on any equation:

6(9)+7y=117

54+7y=117

7y=117-54

7y=63

y=63/7

y=$9  

The diameter of a circle is 222 units. What is the radius of the circle?

Answers

Answer:

111 units

Step-by-step explanation:

the diameter is double the radius so divide 222 by 2 to get 111 units.

As a member of the Game Shop rewards program, you get a 12% discount on purchases. All sales are subject to an 8% sales tax. Write functions to model the discount and the sales tax, then identify the rule for the composition function that calculates the final price you pay Games Shop.

Answers

Answer:

the answer is 1.041

Step-by-step explanation:

you will do.... 12*8/100

The function to model the amount after the discount is x - 0.12x

The function to model the amount after the sales tax is x + 0.08x.

The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

12% = discount on purchases.

8%  = sales tax.

Now,

If the item cost $x

The function to model the amount after discount.

f(x) = x - (12/100)x = x - 0.12x

The function to model the amount after the sales tax.

g(x) = x + (8/100)x = x + 0.08x

Now,

The rule for the composition function calculates the final price you pay Games Shop.

= x + 0.08x - 0.12x

= x - 0.04x

Thus,

The function to model the amount after the discount is x - 0.12x

The function to model the amount after the sales tax is x + 0.08x.

The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.

Learn more about functions here:

https://brainly.com/question/28533782

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Math question do not guess

Answers

Answer is the last expression 3^-3 / 3^4

Urgent! Please help fast! Estimate using mental math: 903.6 ÷ 29.1. Show how you would estimate mentally, then show your estimated answer.

Answers

Answer:

31

Step-by-step explanation:

I would use my fingers mostly.

But, I just do it normally. I pretend I'm using a sheet of paper then I write on it for the equation.

903.6 divided by 29.1

Then I estimate it because I know that 29.1 can go into 903.6 about 31 times. Then I multiply 31 and 29.1 and i get around 903.6.

I hope this helps. I'm sorry if you get this wrong.

Answer:

30

Step-by-step explanation:

Round 903.6 to 900 and 29.1 to 30

So 900/30

= 30

This would be my estimated answer

Also 30^2

= 900

It’s a time card calculation question

Answers

Answer:

Step-by-step explanation: idk ok 1-2 is idk


help me
Factor: 5x2 – 15x – 20.

(a) 5(x-4)(x+1),

(b) -2(x-4)(x+5),

(c) -5(x+4)(x-1),

(d) 5(x+4)(x+1).

Answers

Answer:

C

Step-by-step explanation:

5×2=10

10-15x-20

-10-15x

5(-2-3x), or -5(x+4)(x-1) solve it and find your answer

Tom wants to have $50,000 saved sometime in the future. How much must he deposit every month into an account that pays 1.45% interest, compounded monthly to reach the goal in 5 years?

Answers

Answer:

$ 809.78

Step-by-step explanation:

Given that

F = future value = $50,000

Interest rate = r = 1.45% = 0.0145

Number of period per year = 12months

Time expressed in years = 5years

The present value of a periodic deposit

P =( F ×r/n)/{ (1+r/n)^nt} -1

Substituting the values into the above formula

P = (50000× 0.0145/12)/(1+0.0145/12)^12×5}-1

= 50000×0.001208/(1+0.0012)^60}-1

= 60.4/1.0012)^60}-1

60.416/1.074608-1

60.4/0.07460

= $ 809.779

His monthly deposit will be $ 809.78

The table shows ordered pairs of the function y = 16 + 0.5x .

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 1, x, 10. The second column is labeled y with entries 14, 15, 16, 16.5, y, 21.
Which ordered pair could be the missing values represented by (x, y)?

(0, 18)
(5, 19.5)
(8, 20)
(10, 21.5)

Answers

Answer: The missing values represented by x and y are 8 and 20, that is;

(x, y) = (8, 20)

Step-by-step explanation: The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight line graph.

The ordered pairs simply means for every value of x, there is a corresponding value of y.

The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row for example, the pair is given as (-4, 14).

This means when x equals negative 4, y equals 14.

Where y = 16 + 0.5x

y = 16 + 0.5(-4)

y = 16 + (-2)

y = 16 - 2

y = 14

Therefore the first pair, just like the other four pairs all satisfy the equation.

Hence, looking at the options given, we can determine which satisfies the equation

(option 1) When x = 0

y = 16 + 0.5(0)

y = 16 + 0

y = 16

(0, 16)

(option 2) When x = 5

y = 16 + 0.5(5)

y = 16 + 2.5

y = 18.5

(5, 18.5)

(option 3) When x = 8

y = 16 + 0.5(8)

y = 16 + 4

y = 20

(8, 20)

From our calculations, the third option (8, 20)  is the correct ordered pair that would fill in the missing values x and y.

Answer:

The missing values represented by x and y are 8 and 20, that is;

(x, y) = (8, 20)

Step-by-step explanation:

Will give BRAINLIEST cuz ion know how to do this yall :)


Describe, in detail, the sequence of transformations for figure 1 to form Figure 3 put slide, flip and turn in the right order as the picture shows

Answers

Step-by-step explanation:

1 to 2. object 1 is moved 6 units down, and rotated 180° towards the left

2 to 3. object 2 is moved 6 units right

use factoring to solve
x^2-2x-35=0

Answers

Answer:

I'm sorry I don't have an answer but for all future math work you should download photomath on your phone it's rly good

Answer:

The solution set of the quadratic equation is

x = {7, -5}

Step-by-step explanation:

Given the quadratic equation

[tex]$ x^2 - 2x -35 = 0 $[/tex]

We need to factor this equation

So you need two numbers such that

a + b = -2

and

a×b = -35

How about -7 and 5?

-7 + 5 = -2

-2 = -2

and

-7×5 = -35

-35 = -35

(x - 7)(x + 5) = 0

(x - 7) = 0

x = 7

and

(x + 5) = 0

x = -5

Therefore, the solution set of the quadratic equation is

x = {7, -5}

Verification:

Plug 7 into the quadratic equation

[tex]x^2 - 2x -35 = 0 \\\\(7)^2 - 2(7) -35 = 0 \\\\49 - 14 - 35 = 0 \\\\49 - 49 = 0\\\\0 = 0[/tex]

Plug -5 into the quadratic equation

[tex]x^2 - 2x -35 = 0 \\\\(-5)^2 - 2(-5) -35 = 0 \\\\25 + 10 - 35 = 0 \\\\35 - 35 = 0\\\\0 = 0[/tex]

2/ 7 − 2/15 = ____ solve ?

Answers

Answer:

16/105

Step-by-step explanation:

2/7 - 2/15 = 16/105

The answer is 16/105

please see the attached picture for full solution

hope it helps

Good luck on your assignment

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