our school's girls volleyball team has $14$ players, including a set of $3$ triplets: alicia, amanda, and anna. in how many ways can we choose $6$ starters with no restrictions? (the triplets are treated as distinguishable.)

Answers

Answer 1

There are 990 ways to select 6 starters from a possible 14 using precisely two of the three triplets.

= C(3,2) = 3! / ( 2! x 1! ) = 3

To select the final 4 starters out of the 11 players ,

= C(11,4) = 11! / (4!7!)

= 330

There are a total of 6 ways to select starters.

= 3*330 = 990

Contrary to permutations, the order of selection is irrelevant when choosing elements from a collection using the combination method.

The number of combinations can be counted in simpler situations. Combination is the taking together of n items, k at a time, without repetition.

The terms k-selection or k-combination with repetition are frequently used to describe combinations where repetition is permitted.

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Related Questions

Fill in the blank: In data analytics, a _____ refers to all possible data values in a certain dataset

Answers

In data analytics, a population refers to all possible data values in a certain dataset

Data analysis is a systematic computer-aided analysis of data or statistics. [1] It is used to discover, interpret, and convey meaningful patterns in the data. It also includes applying data patterns for effective decision-making.

It may be useful in areas where there is a lot of recorded information. The analysis relies on the simultaneous application of statistics, computer programming, and operations research to quantify performance.

Organizations can apply analytics to business data to describe, predict, and improve business performance. Areas within the analysis include descriptive analysis, diagnostic analysis, predictive analysis, prescriptive analysis, and cognitive analysis in particular. [2] Analysis can be applied in various fields such as marketing, management, finance, online systems, information security, and software services.

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what is the number of cans that can be packed in a certain carton? the interior volume of this carton is 2,304 cubic inches. the exterior of each can is 6 inches high and has a diameter of 4 inches.

Answers

Answer:

Step-by-step explanation:

volume of each can

=\(\pi\)\(r^{2}\)h

22/7×\(4/2^{2}\)×6

\(\frac{88×6}{7}\)

528/7

PLEASE GUYS IM DESPRATE

PLEASE GUYS IM DESPRATE

Answers

Answer:

Step-by-step explanation:

Putting values in the equation

-(-3)-(2)3+ (-2) (3)

3 - 8 + (- 6)

-5 - 6

= - 11

Answer:

-11

Step-by-step explanation:

-(-3)-(2^3)+(-3)2

3-8-6=-11

Find f such that f′(x)=9/√x​​,f(1)=30. f(x)=___

Answers

In mathematics, a function is a rule that assigns each input value from a set to a unique output value. the answer of the given function is

f(x) = 18√x + 12.

To discover the function f(x) such that f'(x) = 9/√x and f(1) = 30, we can integrate the given derivative with regard to x to get the original function.

\(\int f'(x) \, dx &= \int \frac{9}{\sqrt{x}} \, dx \\\)

Integrating 9/√x with respect to x:

f(x) = 2 * 9√x + C

To find the constant C, we can use the initial condition f(1) = 30:

30 = 2 * 9√1 + C

30 = 18 + C

C = 30 - 18

C = 12

Therefore, the function f(x) is:

f(x) = 2 * 9√x + 12

So, f(x) = 18√x + 12.

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so
How would you write 6.5E4

Answers

Hope that helps



6.5 x 10^4

Or

65000

-13, -11 -9,- 7,
What are the next three terms of the arithmetic sequence?

Answers

Answer:

-5, -3, -1, 1

Step-by-step explanation:

Solve and graph. Thank you so much.

Solve and graph. Thank you so much.

Answers

Answer:

Step-by-step explanation:

-9 + b/4 >= -4

b/4 >= 5

b >= 20

the solution is d

I just took a project and got a bad grade on it my teacher wrote this, It looks like you made a calculation error with the radius measurement in your work. Take a look at the comments I left on your paper. You may revise your work and resubmit and I will regrade your project. This is my work. Please help

I just took a project and got a bad grade on it my teacher wrote this, It looks like you made a calculation

Answers

The areas that needs correction has been attended to and they include the following:

4.)533.8 meters

5.)22686.5 m²

8.)19.06 m

How to determine the radius of a circle?

To determine the radius of a circle, the diameter should be divided into two.

For the wheel, the radius is calculated as follows;

Diameter = 150/2

= 85 meters.

For 4.)

The circumference of the wheel with the given radius;

Formula = 2πr

= 2×3.14×85

= 533.8 meters

For 5.)

Area of the wheel = πr²

= 3.14×85×85 = 22686.5 m²

For 8.) The arc length between the two cars;

= circumference/number of compartment

= 533.8/28

= 19.06 m

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Knowing your personal strengths and weaknesses will help to keep your goal a. within your skills and abilities c. both of these b. within its timeline d. none of these please select the best answer from the choices provided a b c d

Answers

The correct choice is within your skills and abilities.

Once you get to determine things you are capable of and things you are not capable of, you will be able to concentrate on your strengths more. This will in turn produce big results as compared to if you opted to concentrate on your weaknesses.

It will also result in no or less time wasted in doing what you are less capable of.

Its almost close to impossible to be able to do everything. Each person is gifted in a certain area or skill or capability. We are all different and that's okay.

Its so important to concentrate in the areas you are more comfortable with. This will help you much with improving your skills and abilities.

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Answer:

Step-by-step explanation:

a you just had to say a

A shop sells fruit and vegetables. Gaya buys 2 oranges and 1 cauliflower. She pays 2.00

A shop sells fruit and vegetables. Gaya buys 2 oranges and 1 cauliflower. She pays 2.00

Answers

Answer:

£ 0.45

Step-by-step explanation:

Let x be the cost of an orange, and y be the cost of a cauliflower then...

2x+y=2

4x+y=2.90

We can solve this system using elimination. In this case, we can eliminate y by subtracting the two equations:

-2x=-0.90

Divide both sides by -2

x=0.45

One orange is £ 0.45

Two names for the angle formed by the dashed rays are? help please

Two names for the angle formed by the dashed rays are? help please

Answers

Answer:

VTB and MTF

Step-by-step explanation:

There's also another value called FTL

Which expression is undefined? O A. (0-12) = 6 B. 0 : 5 (3-3 OC. 7 O D. (-2+2)

Answers

An undefined equation can be one where the denominator is 0.

SO here in the option d,

\(\frac{8}{-2+2}=\frac{8}{0}\)

This expression is undefined. All the other expressions can be solved.

When a baseball is hit by a batter, the height of the ball, h(t), at time t, , is determined by the equation If t is in seconds, for which interval of time is the height of the ball greater than or equal to 52 feet?

Answers

Answer:

t ≤ 1

Step-by-step explanation:

Complete question:

When a baseball is hit by a batter, the height of the ball, h(t), at time t, t=0 is determined by the equation h(t)=-16t^2+64t^2+4. If t is in seconds, for which interval of time is the height of the ball greater than or equal to 52 feet?

If the height of the ball is greater than or equal to 52, the equation becomes;

h(t)=-16t^2+64t^2+4

-16t^2+64t^2+4≥ 48

-16t²+64t + 4 - 52≥0

16t²-64t² +48≥0

-48t²+48≥0

Subtract 48 from both sides

-48t²+48-48≥0-48

-48t²≥-48

t²≤-48/-48

t²≤ 1

t ≤ 1

Hence the required interval is t ≤ 1

Answer:

B on Edge 2021 ;))

Step-by-step explanation:

What is 524/125 written as a decimal?

What is 524/125 written as a decimal?

Answers

Answer:

C)4.192

Step-by-step explanation:

What is 524/125 written as a decimal?

We Take

524 divided by 125 = 4.192

So, the answer is C)4.192

If ten people access the same AP, communication to the wired world will be limited to the equivalent of approximately 1 Mbps per user. Select True or False?

Answers

False. When multiple people access the same access point (AP), the communication to the wired world is not limited to approximately 1 Mbps per user.

The available bandwidth is shared among the users connected to the AP, but the exact speed each user experiences depends on various factors such as the total bandwidth provided by the AP, the number of users actively utilizing the network, and the nature of their online activities.

The speed experienced by each user can fluctuate depending on network congestion and the type of traffic being generated. For example, if all users are engaging in bandwidth-intensive activities like streaming high-definition videos or downloading large files simultaneously, it can impact the overall network performance, resulting in slower speeds for each individual user. However, if the network is underutilized or the users are engaged in less demanding tasks, each user may experience higher speeds closer to the maximum capacity provided by the AP.

Therefore, the statement that communication to the wired world is limited to approximately 1 Mbps per user when ten people access the same AP is false. The actual speed experienced by each user will depend on various factors and can vary significantly.

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87875696 X 785


plz help.

Answers

Answer:

68982421360

Step-by-step explanation:

Answer:

68982421360

Step-by-step explanation:

just do long multiplication

42. Expanding Circle The radius of a circle is increased from 2.00 to 2.02 m. (a) Estimate the resulting change in area. (b) Estimate as a percentage of the circle's original area.​

Answers

The change in area is 0.8π \(m^{2}\) and percentage is 20%.

What is change in area?

Let A denotes the area of the circle when its radius is r, then A=πr2 Now, the rate of change of the area with respect to its radius is given by, dA dr = d dr(πr2) = 2πr When r= 4cm,(dA dr)r=4= 2π(4) = 8π cm2 per cm Hence, the area of the circle is changing at the rate of 8πcm2/cm

Given,

initial radius = 2m

increased radius = 2.02 m

change in radius dr = 2.02 - 2 = 0.02m

Area = π\(r^{2}\) = 4π

dA = 2πrdr

=2π(2)(0.02)

=0.08π \(m^{2}\)

Estimated percentage = 0.08/4×100

=2%

Hence, the estimated percentage is 2%.

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Use the interactive number line to find the sum. -5.5 3.7 =

Answers

The sum of -5.5 and 3.7 is -1.8.

What is interactive number line?

Teachers can use a collection of exercises called the Interactive Number Line in which students move a marker down a number line to indicate their responses. With the help of the Interactive Number Line, students may practice various crucial concepts from the primary school arithmetic curriculum.

What is integers?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold mathbb Z.

To find the sum of -5.5 and 3.7 on a number line, draw a number line, and label it with tick marks for the integers.

So, the sum of -5.5 and 3.7 is -1.8.

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Answer: 1.8

Step-by-step explanation:

A swimming pool is a shape of a right rectangular prism if the pool is 12 3/4 yards long 5 2/3 yards wide and 9 yards deep what is the volume of the swimming pool

Answers

Answer:

\(V=650.25\ yards^3\)

Step-by-step explanation:

Given that,

Length = \(12\dfrac{3}{4}\ yards\)

Width = \(5\dfrac{2}{3}\ yards\)

Depth = 9 yards

We need to find the volume of the swimming pool. The formula for the volume of a cuboid shape is given by :

\(V=lbh\\\\V=12\dfrac{3}{4}\times 5\dfrac{2}{3}\times 9\\\\=\dfrac{51}{4}\times \dfrac{17}{3}\times 9\\\\V=650.25\ yards^3\)

So, the volume of the swimming pool is equal to \(650.25\ yards^3\).

I need a answer fast thanks!

I need a answer fast thanks!

Answers

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)


The length of a rectangular room is (2x + 2) and the width is (x-7). If the total area of
the room is 145 square feet, what is the value of x?

Answers

Answer:

X=50

Step-by-step explanation:

If you algebraically plug in 50 you come to an answer of X=50

Please someone help I need this ASAP pleeasee

 Please someone help I need this ASAP pleeasee

Answers

I think it is A. It states that it is -2 F and then the temperature dropped 4 degrees. Meaning it went even lower. -2 and 4 degrees lower is -6F.

I What are the subsets of dog cat fish

Answers

Answer:

Mammals

Step-by-step explanation:

these vertebrates are considered mammals

Answer:

Subsets of {dog, cat, fish} are Ф, {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}

if that doesn't work do

4 - Practice: Working with Sets Practice

1. D

2. B

3. A

4. C

5. A

6. C

7. C

8. D

9. C

10. B

-cc

hope this helped please mark me brainliest!

Please answer this fasttt

Please answer this fasttt

Answers

2*2*3
Ra 2*2*3*3 huncha
Hope it helps : )

Rudy correctly solved the equation 10=4r
Which statement describes his solution

A- the solutions is 40 so nice 10 times 4 equals 40
B- the solution is 2.5 since 4 times 2.5 equals 10
C- the solutions is 2.5 since 4 divided by 2.5 equals 10
D- THERE is no solution because no value can be multiplied by 4 to get 10

Answers

Answer:

It's B k hoped this helped

What kind and how much polygons do you see in the net of the triangular prism?

Answers

The net of a triangular prism consists of two triangles and three rectangles.

In the net of a triangular prism, we can observe two types of polygons: triangles and rectangles.

First, let's discuss the triangles.

A triangular prism has two triangular faces, which are congruent to each other.

These triangles are equilateral triangles, meaning they have three equal sides and three equal angles.

Each of these triangles contributes two polygons to the net, one for each face.

Next, we have the rectangles.

A triangular prism has three rectangular faces that connect the corresponding sides of the triangular bases.

These rectangles have opposite sides that are parallel and equal in length.

Each rectangle contributes one polygon to the net, resulting in a total of three rectangles.

To summarize, the net of a triangular prism consists of two equilateral triangles and three rectangles.

The triangles represent the bases of the prism, while the rectangles form the lateral faces connecting the bases.

Altogether, there are five polygons in the net of a triangular prism.

It's important to note that the dimensions of the polygons may vary depending on the specific size and proportions of the triangular prism, but the basic shape and number of polygons remain the same.

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Jack took a test and got 10 out of 20 points. He took a make-up test and got 20 out of 25 points. The percent of increase in Jack's score is about _____.

Answers

Answer:

30%

Step-by-step explanation:

10 out of 20=50% since it is half and 20 out of 25=80% I know this because when your taking a test out of 20 1 answer=4%

10/25=40%

11/25=44%

12/25=48%     Those are just some examples

15/25=60%

16/25=64%

20/25=80%

21/25=84%

22/25=88%

23/25=92%

24/25=96%

25/25=100%

The percent of increase in Jack's score is about 60%.

Given that, Jack took a test and got 10 out of 20 points.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, 10/20 = 0.5

He took a make-up test and got 20 out of 25 points.

= 20/25

= 4/5

= 0.8

So, difference = 0.8-0.5 =0.3

Here, the percentage = 0.3/0.5 ×100

= 0.6×100

= 60%

Hence, the percent of increase in Jack's score is about 60%.

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find the length of the segment. someone pls help me

find the length of the segment. someone pls help me

Answers

Answer:

x = 7

Step-by-step explanation:

The segment from the centre at right angles to the chord, bisects the chord, so

x = 7

Triangle ABC undergoes a transformation using the rule (x,y) → (x + 7. y + 3) to form triangle A'B'C'. Determine if ABC is
congruent to A'B'C'. Explain your reasoning.

Answers

Answer:

ΔABC and ΔA'B'C' are congruent, by the SSS rule of congruency

Step-by-step explanation:

The given parameters are;

The transformation undergone by triangle ABC = (x, y) → (x + 7, y + 3) to give triangle A'B'C'

Therefore, the points on triangle ABC are transformed by a translation of 7 units to the right and 3 units up to form triangle A'B'C'

Given that a translation transformation is a form of rigid transformation, we have;

The lengths of triangle ABC are congruent to the lengths of the sides of triangle A'B'C'

Therefore. ΔABC ≅ ΔA'B'C', by the Side-Side-Side (SSS) rule of congruency.

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+187x+93
equation

Answers

Answer:

12.17secs

Step-by-step explanation:

Given the equation that models the height as y=-16x^2+187x+93

The rocket will hit the groung at y = 0

The equation becomes;

0 =-16x^2+187x+93

16x^2-187x-93 = 0

Factorize

x = 187±√187²-4(16)(-93)/2(16)

x = 187±√34,969+5952/32

x = 187±√40,921/32

x = 187±202.29/32

x = 187+202.29/32

x = 389.29/32

x = 12.17secs

Hence the required time that t will take is 12.17secs

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Should foreign nations be allowed to engage in the affair of other countries? how many moles of k are present in 343 ml of a 1.27 m solution of k3po4? group of answer choices 11.1 0.436 1.31 0.145 3.70 medications used to treat hiv infections are more specifically classified as . medications used to treat hiv infections are more specifically classified as . antiviral agents. antiparasitic agents. antifungal agents. antiretroviral agents. is school worth it do they tell me how to do taxes buy a house pay rent buy a car get my insurance any of that stuff You took one sample of municipal sewage wastewater, mix the sample well, and split it into four equal parts, and send each part as a sample to a different certified lab to be tested for BOD5. Why might the results from each of the labs not be identical? Hint: consider that the mixing was good and the same type of microbes ended up in each split sample. But the wastewater is not completely liquified and is not completely homogenous in terms of the tiny pieces of organic matter. Varabilty between samples in terms of the specific microbial species in the sample sent to each lab Each lab tests the samples at a different incubator temperature Minor varability in environmental samples (e.g., particles and chunks can be hard to completely equally divide into four identical different samples) Each lab tests the samples using a different incubation time All of the above Why is Ultimate BOD different from BOD 5? Not different - same value. Ultimate BOD is how much oxygen microorganisms will use to degrade the waste if given a long time period and BOD 5is how much O 2used after 5 days. Ultimate BOD is the same as ThOD (best case) and BOD 5is how much O 2used after 5 days from a realistic standpoint. None of the above Why are BOD and ThOD not the same value? Some organic compounds might be toxic to microorganisms Incomplete oxidation, some organic compounds may not be completed mineralized to H 2O,CO 2, but leave in the water daughter organic compounds (e.g., smaller organic molecules) Insufficient degradation time for microbes to adjust their internal enzymes to biodegrade all organic compounds All of the above 1. Prepare an advertisement of an Academic Institution for new admission in grade 11. (group work is allowed for audio and visual advertisement) 6. How long must a 800 N net force act to produce a change in momentum of 400 kgm/s? The force Fx acting on a 5kg particle varies in time as shown in the fig. below. F(N) 40 t(s) 4 8 12 16 20 a. What is impulse of the force? b. The average force exerted on the particle. check up did yall eat and drink? what is one major difference between an dwarf planet and a jovian planet? 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You can produce a professional and memorable presentation using this program if you plan ahead and follow important design guidelines. What text and background should you use? O Dark text on a light background O Dark text on a dark background O Light text on a light background How do you determine when you should create a slide to convey certain point in your presentation? Check all that apply. O When you have a cool graphic you want to use When it provides a transition from one point to another O When it highlights points you want your audience to remember When it generates interest in what you are saying When it introduces or reviews key points Tips for Engaging gourdienst Know your materiel because it will allow you to look at your audience and glance at the screen, not your practice notes. 2. The audience needs time to absorb information as you show new slides. Avoid reading directly from a slide. There are a number of errors on the slide above. 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