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

(a + b)(a2 – ab + b2) = a3 + b3

Answers

Answer:

a3 + b3 = a3 + b3

Step-by-step explanation:

I'm not sure what you are asking for but this equation is true if that's the problem.

Multiply all the variables and then combine like terms.

On the left side we end out as a3 + b3 which is equal to the right side. Hope this helps!

PLEASE HELP IT IS URGENT How do you find CF?

Answers

Answer:

CF = 12

Step-by-step explanation:

∠ CDF = ∠ ABD = 45° ( alternate angles )

Using the sine ratio in right triangle CDF and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CF}{CD}[/tex] = [tex]\frac{CF}{12\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

[tex]\sqrt{2}[/tex] CF = 12[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

CF = 12

True or false all integers are rational

Answers

Answer:

The answer is True

Step-by-step explanation:

All rational numbers are integers

How many unique triangles can be made when one angle measures 90° and another angle is half that measure? 1 2 More than 2 None

Answers

Answer:

1

Step-by-step explanation:

I'm not sure if I read your question right, but if one angle is 90 and the other should be half the angle 90, the other angle must be 45. Thus, this would create a 45-45-90 triangle. There is no other possibility if one of the angles must be half that of the 90 degree angle.

Answer:

1

Step-by-step explanation:

Write each statement as an algebraic expression.The quotient of the number that is 1 greater than a number b and the number that is twice as large as b.

Answers

(b+1)/2b

quotient = divided by

we're dividing a number that is 1 more than b (b + 1), with a number twice as large as b (2b).

The proof that TriangleMNG ≅ TriangleKJG is shown.


Given: AngleN and AngleJ are right angles; NG ≅ JG

Prove: TriangleMNG ≅ TriangleKJG

What is the missing reason in the proof?


a) the reflexive property

b) ASA

c) AAS

d) the third angle theorem

Answers

Answer:

b) ASA

Step-by-step explanation:

If you were to look at both triangles the marked angles are rothe other same for the side and also the angle of G which connects both triangles together.

The missing reason in the question is option B which is ASA that is ANGLE SIDE ANGLE.

What are congruent triangles?

Triangles are congruent when they have  three corresponding sides and exactly the corresponding  three angles are equal to other.

What are similar triangles?

If two triangles can be superimposed on each other then it is said to be similar triangles.

How to check similarity between triangles?

Two triangles are said to be similar if two angle and a side, one angle and two sides are equal to other.

If we look at the figure we found that both triangles the marked angles are same for the side and also the angle of G which connects both triangles together.

Hence the correct option for the problem is ASA (Angle Side Angle)

Learn more about congruent triangles at https://brainly.com/question/2938476

#SPJ2

in parallelogram ABCD, diagonals AC and BD intersect at E. Which statement proves ABCD is a rectangle?

Answers

Answer:

AC ≅ BD

Step-by-step explanation:

A parallelogram is a shape that have two pairs of parallel sides with opposite sides having the same length and opposite angles having the same size.

A rectangle is a shape that have two pairs of parallel sides with opposite sides having the same length and each of the four angles is 90°.

A parallelogram is said to be a rectangle if the diagonals of the parallelogram are of the same size (congruent). Therefore in parallelogram ABCD, ABCD is a rectangle if AC is equal to BD. where AC and BD are the diagonals

AC ≅ BD or say Measure of AC = Measure of BD diagonal.

Given that:

ABCD is a parallelogram

AC and BD intersect at E.

A parallelogram is defined as a closed geometric figure that has got 4 straight sides and  opposite sides are parallel to each other.

Set of all parallelogram is superset of set of all rectangles.

There is a property about diagonals of a parallelogram that states as;

" A parallelogram is a rectangle if and only if both of its diagonals are equal in size".

Now given parallelogram is ABCD thus its diagonals are AC and BD.

Thus for ABCD to be rectangle we need:

magnitude of AC = magnitude of BC

or

AC ≅ BD

Learn more here:

https://brainly.com/question/1563728

help for brainetest pls

Answers

Answer:

9 554/603

Step-by-step explanation:

If you add 2/6 and 8/9 you get 554/603. You could try simplifying this answer just to check but I don't think you can simplify it.

Answer:

10  2/9

Step-by-step explanation:

A rectangle has an area of k2 + 19k + 60 square inches. If the value of k and the dimensions of the rectangle are all natural numbers, which statement about the rectangle could be true? The length of the rectangle is k – 5 inches. The width of the rectangle is k + 4 inches. The length of the rectangle is k – 20 inches. The width of the rectangle is k + 10 inches.

Answers

Answer:

The width of the rectangle is k+4 inches

Step-by-step explanation:

you have [tex]k^{2}+19k+60[/tex] which can be factorized to (k+4)(k+15)

if the length of the rectangle is k-5 that would mean that we can write [tex]k^{2}+19k+60[/tex] as (k-5)n which we know is false, so the only one that applies is k+4

The true statement is:

"The width of the rectangle is k + 4"

Which statement is true?

Remember that for a rectangle of length L and width W, the area is given by:

A = L*W

So we want to factorize the area equation, which is a quadratic equation, into a product of two terms.

A = k^2 + 19k + 60

The two zeros are given by Bhaskara's formula:

[tex]k = \frac{-19 \pm \sqrt{19^2 - 4*1*60} }{2} \\\\k = \frac{-19 \pm 11 }{2}[/tex]

So we have two zeros, these are:

k = (-19 - 11)/2 = -15

k = (-19 +11)/2 = -4

So we can factorize the area as:

A = (k - (-15))*(k - (-4)) = (k + 15)*(k + 4).

From this, the only statement that can be true is:

"The width of the rectangle is k + 4"

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1480401

Please help! Correct answer only!

You can play a game with a wheel whose rim is divided into equal sections marked with the numbers from 1 to 10. If you play, the attendant will spin the wheel and a ball will land in a random section. If the number the ball lands on is odd, you win $25. If the number the ball lands on is even, you win nothing. If you play the game, what is the expected payoff?

$___

Answers

Answer:

$12.5

Step-by-step explanation:

Since there is a 50% chance of landing on an odd number, the expected payoff is 0.5*25=12.5. Hope this helps!

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.

what is the volume of a cylinder with a height of 10 cm and a radius of 2 cm ?

Answers

Answer:

20 =10X2cm

20

answer answer

Step-by-step explanation:

First you need to find the area of the base and then multiply that by the height. The base of the cylinder is equal to pi times the radius squared or πr² which in this case is π·2². We then multiply the base times the height which gives us 10·π·2^2. I will let you simplify the result on your own.

Judging from past basketball games, the probability that you make a free throw is 4/5. If you get 220 attempts this season, how many free throws can you expect to make?

Answers

Answer: 176 free throws

Step-by-step explanation: 4/5 = 80% 80% of 220 = 176

A 38 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.113. Find the substance's half-life in days, round to the nearest tenth.

Answers

Answer:

6.13 days

Step-by-step explanation:

Hello,

This question directly relates to radioactivity of a substance.

Data,

k = 0.113

Initial mass (No) = 38g

Half life of the substance (T½) = ?

To solve this question, we don't need the value of the initial mass because the variables in half life (T½) formula does not require it.

T½ = ln2 / k

Note : ln2 is a constant derived while k is the decay constant of the substance

T½ = 0.693 / 0.113

T½ = 6.13 days

The half life of the substance is 6.13 days

if ten coins are spun together, the probability of four or more heads is 0.83. the probability of eight or more is 0.05. find the probability of:
I) less than four. II)fewer than 8

Answers

Answer:

a. 0.17

b. 0.95

Step-by-step explanation:

The key to answering both questions is that we should understand that the probability of an event happening = 1 - the probability of the event not happening

Firstly, we want to calculate the probability of less than four

Probability of less than four = 1 - probability of four or more heads

that is 1 - 0.83 = 0.17

Probability of less than 8 = 1 - probability of 8 or more = 1-0.05 = 0.95

John goes to a restaurant and has a bill of $ 32. 57. He uses a 10% off coupon on the cost of his meal. The tax is 8%. He leaves a tip of 18% on the amount before the coupon or tax is applied. How much does he spend?

Answers

Answer: $36.97

Step-by-step explanation:

The cost of the meal was $32.57 and he used a 10% off coupon. You can make 10% equal to 0.1 because [tex]\frac{10}{100}=0.1[/tex]. Now do [tex]0.1 *32.57=$3.26[/tex]. This is the discount, so you want to subtract this from the original to get the actual price of the meal, [tex]32.57-3.26=29.31dollars[/tex].

The tax was 8% so this means he is adding it to his total cost instead of subtracting it. Do 0.08 of $29.31 to get $2.34. Add $2.34 to the now $29.31 to get $31.69.

The tip is also adding to the total cost, so do 0.18 of $29.31 to get $5.28. Add $5.28 to $31.69 to get $36.97

Answer:

$37.51

Step-by-step explanation:

Original cost of meal is $32.57.

Since he has a coupon for 10% off, he pays for 90% of the cost of the meal.

90% of $32.57 = 0.9 * $32.57 = $29.31

Now he pays tax on the new discounted total. Let the new total be called 100%. Since he pays 8% tax, he needs to pay 108% of the new total.

108% of $29.31 = 1.08 * $29.31 = $31.65

He adds a tip of 18% of $32.57.

The tip amount is

18% of $32.57 = 0.18 * $32.57 = $5.86

The total is: $31.65 + $5.86 = $37.51

The library is 3.56 kilometers from Maria's house and 1.38 kilometers from Simon's house. How much farther does Maria live from the library than Simon?

Answers

Answer: 2.18 kilometres

Step-by-step explanation:

First we take down the information given to us

Maria's house to library (distance) = 3.56 km

Simon's house to library (distance) = 1.38 km

Now to get how farther Maria lived from the library compared to Simon, we subtract the distance between the library and Simon's house from the distance between the library and Maria's house

i.e

3.46km - 1.38km  = 2.18km

there for Maria lived 2.18 kilometres farther from the library compared to Simon.

What is 15% of 80kg????

Answers

Answer:

12 kg

Step-by-step explanation:

15%×80 =

= 15×80/100

= 15×8/10

= 120/10

= 12 kg

state with triangle congruence postulate explain that the triangles are congruent​

Answers

Answer:  d) Angle-Angle-Side (AAS)

Step-by-step explanation:

See image --> I labeled the angles to show ΔABC and ΔCDE

Here is the proof that shows ΔABC ≡ ΔDEC

Statement                  Reason

1. AB ≡ DE                    1. Given

2. ∠B ≡ ∠E                   2. Given

3. ∠ACB ≡ ∠DCE         3. Vertical Angles

4. ΔABC ≡ ΔDEC         4. AAS Congruency Theorem

We have 2 angles and 1 side so our only options are AAS or ASA.  

We can eliminate ASA because the side is NOT between the angles.

If you follow the path of the triangles; first you have Side (AB ≡ DE), then Angle (∠B ≡ ∠E), then Angle (∠ACB ≡ ∠DCE).  We don't have SAA as an option so follow it backwards and you get Angle-Angle- Side (AAS).

whoever gets done faster wins

Answers

Answer:

2%

Step-by-step explanation:

Answer:2%

Solution

0.02*100%

=2%

hope it helps...

Good luck on your assignment

Aubrey is putting flooring in a room that is 13 feet long and 10 feet wide. The flooring costs ​$4.00 per square foot. How much will the flooring for the room​ cost?

Answers

Answer: $520


Explanation: We can tell that this is an area problem from the mention of the square foot and from the simple fact that only area would cover the whole room.

The floor is a rectangle and the formula for area of a rectangle is A=lw.

13*10 is 130.

When you multiply this by 4, you get 520.

The perimeter of the triangle shown is 40 meters. Write an equation to represent the
perimeter and then solve for the value n.


The sides of the triangle are 11m, (2n+3)m and 16m

Answers

Answer:

15m

Step-by-step explanation:

perimeter=total distance round a figure

40m=11m+16m+2n+3m

40m=30m+2n

50m-30m=2n. 30=2n. (divide both sides by 2 to get). n=15m

Brandon purchased a new guitar in 2012. The value of his guitar, t years after he bought it, can be modeled by the function A(t)=145(0.95)t.

Drag and drop the answer to the boxes below to complete the sentence.

145, 0.95
a decrease of, an increase of
5%, 45%, 95%

The rate of change in the value of the guitar is modeled by _____, which represents _____________ ______ per year.

Answers

Answer: The rate of change in the value of the guitar is modeled by 0.95, which represents a decrease of 5% per year.

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential decay function:  

A = P (1 - r) t  

Where:  

p = original price

r = decrease rate (decimal form)  

t= years  

A = price after t years  

Replacing with the values given:  

A(t)=145(0.95)t.

Where

0.95 = 1-r

0.95-1 = r

-0.05 =-r

0.05 =r

Converting to percentage form:

0.05 x 100 = 5%

Feel free to ask for more if needed or if you did not understand something.  

. Joanne does a daily walk from building P to building Q. Given point P(6,9) and point Q(5,-4), what is the distance between points P and Q on this campus map of the local college?

Answers

Answer:

The distance between points P and Q on this campus map of the local college is 13.038 units

Step-by-step explanation:

We are given that Joanne does a daily walk from building P to building Q

[tex]P=(x_1,y_1)=(6,9)\\Q = (x_2,y_2)=(5,-4)[/tex]

We are supposed to find the distance between points P and Q on this campus map of the local college

We will use distance formula :

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the values in the formula .

[tex]d=\sqrt{(5-6)^2+(-4-9)^2}\\d=13.038[/tex]

Hence the distance between points P and Q on this campus map of the local college is 13.038 units

Answer:

13 feet

Step-by-step explanation:

We use the distance formula:

Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

Benjamin has 3 gallons of punch. He adds another 1··2gallon of juice to the punch. How many gallons of punch does he have now? How many cups? Explain your reasoning.

Answers

Answer:

4.2 gallons

67.2 cups

Step-by-step explanation:

He had 3 gallons of punch.

He added another 1.2 gallons.

The number of gallons of punch he has now is:

3 + 1.2 = 4.2 gallons

1 gallon = 16 cups

=> 4.2 gallons = 4.2 * 16 = 67.2 cups

He has 67.2 cups

the point slope form of the equation of the line that passes through (-9,-2) and (1,3) is y-3=1/2(x-1). What is the slope-intercept form of the equation for this line

Answers

Answer:

y= 1/2x + 2.5

Step-by-step explanation:

We already have the point-slope form of the line.

Convert into Slope Intercept form:

y-3=1/2(x-1)

[tex]y-3=\frac{1}{2}x -0.5\leftarrow \text {Distribute}\\y-3+3=\frac{1}{2}x-0.5+3\leftarrow \text {Subtraction Property of Equality} \\\boxed{y=\frac{1}{2}x+2.5} \text { OR } \boxed{y=\frac{1}{2}x+\frac{5}{2}}[/tex]

May you help please

Answers

The answer is c :)) ! I just took the test

Answer:

Option A

Step-by-step explanation:

We are given the inequality 4x + 6 [tex]\leq[/tex] 18;

[tex]4x + 6 \leq 18,\\4x \leq 12,\\\\x \leq 12 / 4,\\x \leq 3,\\\\Conclusion - Option A[/tex]

As you can tell, the second step was derived through the subtraction of 6 from either side of the inequality sign. 18 - 6 is 12, which resulted in the simplified inequality [tex]4x \leq 12[/tex]. Dividing 4 on either side, we derived [tex]x \leq 3[/tex], which is Option A

If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm

Answers

Answer:

16kg

Step-by-step explanation:

 This problem is borers on elasticity of materials.

according to Hooke's law, "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."

[tex]F= ke[/tex]

where F is the applied force in N

          k is the spring constant N/m

          e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= [tex]\frac{15}{100}[/tex]= [tex]0.15m[/tex]

we can solve for the spring constant k

we also know that the force F = mg

assuming [tex]g=9.81m/s^{2}[/tex]

therefore

[tex]24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\[/tex]

We can use this value of k to solve for the mass that will cause an extension of  [tex]10cm= 0.1m[/tex]

[tex]x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg[/tex]

What is the value of 0?

Answers

Answer:

It is 0

Step-by-step explanation:

the square root of 7/16

Answers

Answer:

[tex] \sqrt{7} [/tex]

over 4

square the top and bottom separately and 16 squared is four but seven can't square. leave the top as seven squared and the bottom as just four

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