How many ways can 7 students be selected from an organization of 30 to attend a national conference?

Determine the number of possibilities for selection. Express your solution in a complete sentence reflective of the scenario.

Answers

Answer 1

The number of possibilities for selection is 2,035,000 ways

This question has to do with the combination

Given the following parameters

Total number of students = 30 students

If 7 students are to be selected from a pool of 30 students, the number of ways this can be done is expressed as:

30C7 = 30!/(30-7)!7!

30C7 = 30*29*28*27*26*25*24*23!/23!*7!

30C7 = 30*29*28*27*26*25*24/7!

30C7 = 10,260,432,000/5040

30C7 = 2,035,800

This shows that the number of possibilities for selection is 2,035,000 ways

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Related Questions

Add the polynomials (-4x^3 + x^2y - xy^2), (3x^3 - xy^2 + 5x^2y) and (7xy^2 + 3y^3)

Answers

Answer:

4x³+x²

Step-by-step explanation:

to I was awesome and u too go to north and u too go home with he sister or talk

The ratio of the number of Marbles zali had to the number of marbles muthu had was 3 : 4 muthu gave half of his marbles to zali what was the new ratio of the number of marbles zali had to the number of marbles muthu had ?​

Answers

Using the given ratio 3:4, Zali has 3 marbles and Muthu has 4 marbles.

If Muthu gives half of his marbles to Zali, Muthu would have 2 marbles (4/2 = 2) and Zali would have 5 ( 3+2 = 5). The ratio would now be 5:2

Answer: 5:2

A pound of fertilizer covers 39 square feet lawn.Vivian Bulgakov lawn measures 7072.7 square feet,How much fertilizer,to the nearest tenth of a pound does she need to buy?

Answers

Answer: 275835.5

because 7072.7 times 39

Find the volume of the following cone.

Round your answer to the nearest integer

Answers

Check the picture below.

[tex]\textit{volume of a cone}\\ V = \cfrac{\pi r^2 h}{3}~~ \begin{cases} r = \stackrel{radius}{12}\\ h = \stackrel{height}{5} \end{cases} \\\\\\ V = \cfrac{\pi \cdot 144\cdot 5}{3}\implies V = 240\pi \implies V\approx 753.98\implies V = \stackrel{\textit{rounded up}}{754}[/tex]

A store manager is marking down cameras from $300 to $150. What percentage is the discount?

Write your answer using a percent sign (%).

Answers

Answer:

the discount is 50% the previous price

which prime number is found in between 70 and 80 and is made up of two odd digits which add up to 10

Answers

73. This adds to 10 and is prime

Answer:71

71, 73 and 79

Step-by-step explanation:

A prime number is a number that can only be divided by 1 or itself. Otherwise, it is a composite numbers.

There are three numbers between

70

and

80

that fit this criteria,

71

,

73

, and

79

Doing Test Corrections
A. 5
B. 4
C.6
D. 9

Answers

C.6. That’s the answer

Is 1.572735 rational?

Answers

Answer:

yes

Step-by-step explanation:

it is rational

Answer:

Yes

Step-by-step explanation:

To write 1.572735 as a fraction you have to write 1.572735 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

1.572735 = 1.572735/1 = 15.72735/10 = 157.2735/100 = 1572.735/1000 = 15727.35/10000 = 157273.5/100000 = 1572735/1000000

And finally we have:

1.572735 as a fraction equals 1572735/1000000

And since there is a ratio (a proper fraction) number, it is rational.

30 percent of a number is 48 what is 50 percent of the same number

Answers

0.3x = 48

So x is 48/0.3

Therefore, 0.5 times 48/0.3 is the answer

If one inch is equivalent to 2.54 cm, then how many inches are there in 20.8 cm?​

Answers

Answer:

8.18897637795

Step-by-step explanation:

20.8 divided by 2.54 equals 8.2. So 8.2 inches is you answer.

Answer:

1 inch =2.54cm

number of inches in 20.8 = 20.8/2.54 = 8.1889 inches  

hope this will help you

What are the slope and y-intercept of the line?

Answers

slope = -170. y-intercept = 1020

Step-by-step explanation:

Let [tex]P_1(0, 1020)[/tex] and [tex]P_2(6, 0).[/tex] The slope can be calculated as

[tex]m = \dfrac{0 - 1020}{6 - 0} = -170\:\text{m/hr}[/tex]

So the equation can be written as

[tex]y = -170x + b[/tex]

To solve for b, let's use the values for P2:

[tex]0 = -170(6) + b \Rightarrow b = 1020[/tex]

Therefore,

[tex]y = -170x + 1020[/tex]

To find the y-intercept, let x = 0. then the y-intercept is

[tex]y = -170(0) + 1020[/tex]

or

[tex](0, 1020).[/tex]

100.000.000x30

Kaçtır?

Answers

Answer:

the answer is 3000000000

b. During two years of college, a student earned $12,000. The second year she earned $500
more than twice the amount she earned the first year. How much did she earn the first
year?

Answers

Answer:

6000 dollars duhhhhhhhhhhhh

Given ABCD, what is the measure of

Answers

Answer:

srry dude this isn't rly a quesiton

The table shows the mass of a substance decreasing over a period of time during a chemical experiment.
Identify a quadratic model for the mass M, given the time t. Then use the model to predict the mass at t = 11
seconds
Time (s) Mass (g)
2
94.8
5
87.9
8
81.3
B
O M(x) = -0.02x2 - 2.42x + 99.57
M(11) - 75 g
O M(x) = 0.02x2 - 2.42x + 99.57
M(11) - 1299
O M(x) = -0.02x2 - 2.42X + 99.57
M(11) = 129 g
O M(x) = 0.02x2 - 2.42x + 99.57
M(11) = 75 g

Answers

So from a table, we want to find an equation that models the mass as a function of time, we will get the equation:

M(t) = 0.02*t^2 - 2.42*t + 99.57

And with that equation, we will find that the mass after 11 seconds is 75 grams.

From the table we have the points:

(2, 94.8)

(5, 87.9)

(8, 81.3)

And we know that this follows a quadratic model, then we have:

M(t) = a*t^2 + b*t + c

Notice that from the known points, we have 3 equations:

94.8 = a*2^2 + b*2 + c

87.9 = a*5^2 + b*5 + c

81.3 = a*8^2 + b*8 + c

So we have a system of equations, we can simplify the equations to get:

94.8 = a*4 + b*2 + c

87.9 = a*25 + b*5 + c

81.3 = a*64 + b*8 + c

To solve this, we start by isolating one of the variables in one of the equations, let's isolate c in the first one.

c = 94.8 - a*4 - b*2

now we replace this in the other two equations to get:

87.9 = a*25 + b*5 + (94.8 - a*4 - b*2)

81.3 = a*64 + b*8 + ( 94.8 - a*4 - b*2)

Now we simplify these two equations to get:

-6.9 = a*21 + b*3

-13.5 = a*60 + b*6

Now we do the same thing, I will isolate b in the first equation:

b = (-6.9 - a*21)/3 = -2.3 - a*7

Now we replace this in the other equation:

-13.5 = a*60 + (-2.3 - a*7)*6

Now we can just solve this for a:

-13.5 = a*(60 - 7*6) - 2.3*6

    0.3    = a*18

0.3/18 = a = 0.016

Wich can be rounded to:

a = 0.02

Then the value of b is:

b = -2.3 - a*7 = -2.3 - 0.016*7 = -2.42

And the value of c is:

c = 94.8 - a*4 - b*2 = 94.8 - 0.016*4 - (-2.42)*2 = 99.57

So the equation is:

M(t) = 0.02*t^2 - 2.42*t + 99.57

Now we can evaluate this in t = 11s to get:

M(11) = 0.02*11^2 - 2.42*11 + 99.57 = 75.37

Wich can be rounded to 75 grams.

If you want to learn more, you can read:

https://brainly.com/question/20067450

What is the slope of the line on the graph? Enter your answer in the box.​

Answers

slope = rise/run

slope = (-6)/3

slope = -2



i need help with 32

Answers

Answer: See the drawing below

Explanation:

The region to the left of x = -3 has f(x) > 0, aka f(x) is positive. This is due to the sign chart indicating this with a + sign. The same applies from the region between x = -3 and x = -2. The graph will show f(x) above the x axis for these two regions.

When -2 < x < 0, f(x) is now negative and below the x axis. It goes above the x axis for the interval 0 < x < 2. Then it dips back down below the x axis again once it passes x = 2.

The graph below visually summarizes everything talked about. Keep in mind that there are infinitely many ways to draw a graph like this. There's not enough info to pin down one exact answer.

$120; Markup: 35%

What's the final price? pls show how u got the answer...​

Answers

Answer: 162

Step-by-step explanation:

So you will need to find the Markup. The original cost is $120.

Divide the number by 100 is 1.2. $1.2 is 1% of the $120.Now times the number by 35. $1.2 x 35 is $42.Finally, add the number. 120 + 42 = 162.

I hope this is the answer you are looking for.

Choose the correct answers.
Jane Dilford gets a student rate of $30.00 a month for health Insurance. There is a $250 deductible, but no coinsurance
payment. She recently recelved treatment for a covered condition. The bill was $2,550.00 Jane's Insurance company
provided payment of 80% of the bill less the deductible.
What was the company's payment? $2,040 or $1,840
V
What was Jane's total cost (not including monthly premium)? $510 or 710

Answers

Answer:

1840 amd 710

Step-by-step explanation:

write the solution in interval notation: 1/4x−3≥−1 and −3(x−2)≥2

Answers

Answer:Mark me as Brainliest please

Step-by-step explanation:

Let's solve your inequality step-by-step.

[tex]\frac{1}{4}x-3\geq -1[/tex]

Step 1: Add 3 to both sides.

[tex]\frac{1}{4} x-3+3\geq -1+3[/tex]

[tex]\frac{1}{4} x\geq 2[/tex]

Step 2: Multiply both sides by 4.

[tex]4*(\frac{1}{4} x)\geq (4)*(2)[/tex]

Answer:

x≥8

Let's solve your inequality step-by-step.

−3(x−2)≥2

Step 1: Simplify both sides of the inequality.

−3x+6≥2

Step 2: Subtract 6 from both sides.

−3x+6−6≥2−6

−3x≥−4

Step 3: Divide both sides by -3.

[tex]\frac{-3x}{-3} \geq \frac{-4}{-3}[/tex]

Answer:=[tex]x\leq \frac{4}{3}[/tex]

solve the equation 6= A/2 + 2

Answers

Answer:

A = 8

Step-by-step explanation:

A/2 + 2 = 6

subtract 2 from each side to get:

A/2 = 4

multiply each side by 2 to get:

A = 8

A group of ten people includes six men and four women. If five of these people are randomly selected to fill out a questionnaire, how many different samples of five people are possible?

Answers

20 different samples

Can someone please help me?

Answers

You are right correct

find DEC

pls give through explanation

Answers

[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]

Angle AEB and Angle DEC are opposite angles which means they are equal in measure. Hence,

⇛ Angle AEB = Angle DEC

⇛ 9x + 8° = 3x + 42°

⇛ 9x - 3x = 42° - 8°

⇛ 6x = 34°

⇛ x = (34/6)°

To find: Angle DEC = 3(

34/6 °) + 42° = 59° (Ans)

Can someone please help me thank you

Answers

36 is the answer, hope this helps.

Give an example of a function.
example:
Input 9 9 4 5 and output: 3 -3 2 -2

give examples plz
I will make the brainliest. ​

Answers

Jhhdcc C ffvtt he fhhjjmncfhnbcfgbnbvgghmnbjkmn


Please help me ASAP

Answers

Answer:

New points:

N: (4,-5)

X: (2,-3)

B: (-1,-4)

Step-by-step explanation:

Rotate about the origin (0,0) counter clockwise 90 degrees

The fraction 1/16 can correctly be read as
Question 5 options:

one divided by sixteen.

sixteen divided by 1.

one sixth.

one and one sixth.

Answers

The given fraction [tex](\frac{1}{16} )[/tex] can correctly be read as one divided by sixteen.

A fraction can be defined as a numerical quantity that isn't a whole number and as such has two (2) parts.

Hence, a fraction is simply a part of a whole number.

Generally, a fraction comprises two (2) main parts and these include:

Denominator: this refers to the lower part of a fraction.Numerator: this is the upper part of a fraction.

Mathematically, a fraction is represented as:

[tex]Fraction \;A = \frac{1}{16}[/tex]

In order to read a fraction, you will start by naming the numerator (upper part) followed by the denominator (lower part).

In this scenario, the given fraction [tex](\frac{1}{16} )[/tex] can correctly be read as one divided by sixteen.

Read more: https://brainly.com/question/6201432

Dina and masha started out on a 12 mi bike path at the same time. when dina reached the end of the 12 mi, masha still had 4 mi left to bike. if dina's biking speed is 10 mph, find masha's biking speed. HELP NOWWW

Answers

Answer:

Dina took 12/8 = 3/2 hrs

So, if Masha's speed was x

3/2 x = 12-3

x = 6 mi/hr

Answer:

Step-by-step explanation:

Dina finished in a time of

12 mi / 10 mi/hr = 1.2 hr  

Masha's speed is (12 - 4 mi) / 1.2 hr = 6⅔ mph

Check for reasonableness 643 + 282

Answers

Answer : 925
643 + 282 just add them it’s easier to add them with the bigger number on top first the the least number.
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