From a club of 18 people, in how many ways can a group of five members be selected to attend a conference?

Answers

Answer 1
Selection here means you’ll use combination and not permutation.
Total number of members=18
Numbers to be selected=5
Therefore=18C5=n!/(n-r)!r!
=18!/(18-5)!5!
=18!/13!5!
=18x17x16x15x14x13!/13!x5x4x3x2x1
The 13 factorials will cancel out which will give
= 18x17x16x15x14\ 5x4x3x2x1
=1,028,160/120
=8,568ways.

Related Questions

Which expression is a factor of the function's equation? O A. X - 4 OB. 0 O C. X OD. x + 4​

Answers

Answer:

im pretty sure it's A thx

help please, i'm confused

Answers

Answer: C

Step-by-step explanation:

Answer huuhHH

Step-by-step explanation:

Last week a candle store received $515.90 for selling 30 candles. Small candles sell for $11.25 and large candles sell for $22.40. how many large candles did the store sell?

Answers

Answer:

16

Step-by-step explanation:

x+y=30  solve for x   x=30-y

substitute x with 30-y and solve

11.25x+22.4y=515.9

11.25(30-y)+22.4y=515.9

337.5+11.15y=515.9

11.15y=178.4

y=16

since we're solving for just large candles it's 16

if need small cangle number 30-16=14

51.33333333 just round it plz

Answers

Answer:

51

Step-by-step explanation:

The answer would be 51 because the numbers behind the decimal are below 5

Answer:

51

Step-by-step explanation:

51.33333333 rounds to 51 because 3 is less than 5.

When rounding, always look at the number before the first number in front of the decimal. If it is more than 5, round up. If it is less than, round down.

What is the perimeter of the trapezoid?
10m
8m
10m
18m

Answers

Answer:

  46 m

Step-by-step explanation:

The perimeter of any figure is the sum of the lengths of its sides.

  8m +10m +10m +18m = 46 m

The perimeter of the figure is 46 meters.

ean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96.
Which store is offering the better deal on ground beef? Show your work.

Answers

Well just know the 5 pounds is worse but what I do is divide 23.49 into 5 for each pound and do the the same for the 8 pounds expect 36.96

Which equation could possibly represent the graphed function?
OA. f(x) = (x-4)(x + 2)(x + 4)
OB. f(x) = (x-4)^2(x - 2)
OC. f(x) = (x+4)^2(x+2)
OC. f(x) = (x-4)(x-2)(x+4)

Answers

Answer:

A

Step-by-step explanation:

You're looking for x-intercepts

From the graph you know that the x-intercepts are as follows:

x = -4, x = -2, x = 4

And this is when y or f(x) = 0

so you can rewrite each x-intercept as an equation

0 = x + 4

0 = x + 2

0 = x - 4

Now you know each of the terms

f(x) = (x-4)(x+2)(x+4)

Answer:

A choice.

Step-by-step explanation:

If you notice, you see the graph having x-intercepts which are x = 4, -2 and -4.

Because the graph passes through x = 4, -2 and -4, we have to find the function that satisfy x-values when f(x) = 0.

Finding x-intercepts, let f(x) = 0.

A choice

f(x) = (x-4)(x+2)(x+4)

Let f(x) = 0 to find x-intercepts.

0 = (x-4)(x+2)(x+4)

Then solve the equation like linear.

Hence, x = 4,-2,-4

Since the x-intercepts are (4,0),(-4,0) and (-2,0), it satisfies the graph and therefore A is correct.

2(4x - 1) < 4(3x+1), where x ∈ {set of all negative Integers}​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given inequation:

[tex]\sf 2(4x-1)<4(3x+1), x\in \{Set\ of\ negative\ integers\}[/tex]

[tex]\sf\longmapsto 8x-2<12x+4[/tex]

[tex]\sf\longmapsto 8x-2-4<12x+4-4[/tex]

[tex]\sf\longmapsto 8x-6<12x[/tex]

[tex]\sf\longmapsto 8x-6-8x<12x-8x[/tex]

[tex]\sf\longmapsto -6<4x[/tex]

[tex]\sf\longmapsto 4x>-6[/tex]

[tex]\sf\longmapsto \dfrac{4x}{4}>\dfrac{-6}{4}[/tex]

[tex]\sf\longmapsto x >-1\dfrac{1}{2}[/tex]

Therefore:

[tex]\sf\longmapsto\boxed{ x=\{-1\}}\ \ Ans.[/tex]

Find the equation in standard form of the line passing through the points (6, 3) and (1,5)

Answers

Answer:

2x+5y=27

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-3)/(1-6)

m=2/-5

m=-2/5

y-y1=m(x-x1)

y-3=-2/5(x-6)

y-3=-2/5x+12/5

y=-2/5x+12/5+3

y=-2/5x+12/5+15/5

y=-2/5x+27/5

y-(-2/5x)=27/5

y+2/5x=27/5

5(y+2/5x)=5(27/5)

5y+2x=27

2x+5y=27

Identify the first five terms of the sequence in which a1 = 3 and an = 4an−1− 5 for n ≥ 2.

Answers

Step-by-step explanation:

a1 = 3

an = 4an-1 - 5

a2 = 4×3 - 5 = 12 - 5 = 7

a3 = 4×7 - 5 = 28 - 5 = 23

a4 = 4×23 - 5 = 92 - 5 = 87

a5 = 4×87 - 5 = 348 - 5 = 343

Answer:

3, 7, 23, 87, 343

Step-by-step explanation:

Using the recursive rule and a₁ = 3 , then

a₂ = 4a₁ - 5 = 4(3) - 5 = 12 - 5 = 7

a₃ = 4a₂ - 5 = 4(7) - 5 = 28 - 5 = 23

a₄ = 4a₃ - 5 = 4(23) - 5 = 92 - 5 = 87

a₅ = 4a₄ - 5 = 4(87) - 5 = 348 - 5 = 343

What is the missing number that makes the ratios equivalent?
12:9
_:18​

Answers

Answer:

24

Step-by-step explanation:

Choose the true statement about virtue-based ethics.
i. According to the principles of virtue-based ethics, character is more important than actions.
ii. According to the principles of virtue-based ethics, right and wrong are assessed using culture as a guide.
iii. According to the principles of virtue-based ethics, the consequences of actions are very important.
iv. According to the principles of virtue-based ethics, rules are used to evaluate actions.

Answers

Virtue based ethics holds that character is more important than actions.

Virtue based ethics is the aspect of ethics that holds that the moral character of a person if of more paramount importance than the person's actions and its consequences.

Hence, the true statement about virtue based ethics from the options is that; "according to the principles of virtue-based ethics, character is more important than actions."

Learn more about ethics: https://brainly.com/question/25784680

A race director is preparing for an upcoming marathon and estimates that the mean time to
finish is 310 minutes. Assume
that the times are normally distributed, with a standard deviation of 50 minutes.
Use a standard normal table or a calculator to find the percentage of times that are longer than 236 minutes. For your
intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example
98.23%).

Answers

93.06% of the race is longer than 236 minutes.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 310, σ = 50

For x > 236:

[tex]z=\frac{236-310}{50}=-1.48[/tex]

From the normal distribution table:

P(x > 236) = P(z > -1.48) = 1 - P(z < -1.48) = 1 - 0.0694 = 0.9306 =  93.06%

93.06% of the race is longer than 236 minutes.

Find out more on z score at: https://brainly.com/question/25638875

A sandwich costs $4.25 and a fruit drink costs $1.85. How much change will you get from a $10 bill?
Follow: Maddie Edits

Answers

Answer:

3.90

Step-by-step explanation:

4.25

+1.85=6.10

10-6.10=3.9

Answer:  $3.90

======================================================

Work Shown:

4.25+1.85 = 6.10

It costs $6.10 to get the sandwich and drink.

If the customer pays with a $10 bill, then they get 10.00 - 6.10 = 3.90 dollars in change.

One way to represent $3.90 is to have:

3 dollar bills = 3 dollars3 quarters = 3*25 = 75 cents1 dime = 10 cents1 nickel = 5 cents

The coins add up in value to 75+10+5 = 90 cents.

Or another option is to have 9 dimes and no other coins. Or perhaps you could have nothing but nickels and you'd need 18 nickels. There are a few ways to determine what coins to use.

I need help with this math problem

Answers

Step-by-step explanation:

that is just a complicated way to ask, at what values of x is the functional value infinite ? or directly, for what values of x is the denominator of that fraction 0 ?

it is zero, if just one of the 3 factors is 0.

and that would happen for

x = 0

x = -6

x = 1

so, A, D and E are correct.

What is the answer for 6 7/16 - 4 1/2?

Answers

Answer:

1.9375

Step-by-step explanation:

used a clacalator

Answer:

31/16 or 1.9375 or 1 and 15/16

Step-by-step explanation:

plssssssssssssssssssssss help me i will mark you the brainlyest Graph.





y= –34x–1

Answers

Answer:

the x-axis is 0,1

the y -axis is -1, - 35

sorry if  im rong

Step-by-step explanation:

Answer:

look at explanation

Step-by-step explanation:

the first thing to do when graphing is to look at your y coordinate, the last number without a variable behind it. this would be (-1).

mark -1 on your graph, which should be one slot to the left of zero.

the slope (the number with the variable behind it) can be read as rise/run. turn -34 into a fraction by simply putting it over 1. this will give you -34/1.

your rise in this case would be -34, which means from -1, go down 34 slots and put a nother dot. your run(denominator in fraction) is where you move horizontally. since the run is 1, move over 1 spot from where your last dot is and that is your final plot. connect the first dot you made tot he third dot you made and you have officially graphed it.

Ali caught a fish that weighed 9 1/2 lb. Lisa caught a fish that weighed 5 3/4 lb. How much more did Ali’s fish weigh?

Answers

Answer: the answer is 3 3/4

9.5-5.75=3.75. brainliest please!!!


In Manhattan, there are 15 CoffeeStops per 100,000 people Manhattan has approximately 1,602,000 people How many Coffee Stops are there?

Answers

Answer:

Given that 15coffee stops=100,000people

then: x= 1,602,000

100,000×x= 15×1,602,000

100,000x= 24,030,000

100,000x÷100,000= 24,030,000÷100,000

x= 240.3

so therefore there are 240.3 coffee stops if there are 1,602,000

Manhattan has approximately 1,602,000 people. Then the number of coffee shops will be 241.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

In Manhattan, there are 15 CoffeeStops per 100,000 people.

Then the number of coffee shops per person will be

⇒ 15 / 100,000

⇒ 1.5 × 10⁻⁴ coffee shops per person

Manhattan has approximately 1,602,000 people.

Then the number of coffee shops will be

⇒ 1,602,000 × 1.5 × 10⁻⁴

⇒240.3 or 241 coffee shops

Manhattan has approximately 1,602,000 people. Then the number of coffee shops will be 241.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ5

PLEASE write an equation in point-slope form for the line that passes through the point with the given slope. (-2,11) m=4/3

Answers

Answer:

[tex]y-11=\frac{4}{3}(x+2)[/tex] or y - 11 = (4/3)(x+2)

Step-by-step explanation:

Point-slope equation is:  [tex]y-y_1=m(x-x_1)[/tex]

If we replace y1 with 11 and x1 with -2 then this will be our resulting formula:

[tex]y-11=m(x+2)[/tex]

And of course we need to replace m with our slope:

[tex]y-11=\frac{4}{3}(x+2)[/tex]

26.
ndicate which student has the higher z score.
Art Major
I-46 T-50.5 :- 5.2
Theater Major X - 70 T-75.1 :-7.3

Answers

Answer:

boom bam ba boom bam ba

First one to put an answer gets Brainliest

What is 6-9461946105$)/&!5803&573!2.72!/‘u get Rory • 3

Answers

Answer:

I got its 69 or 六十九

Step-by-step explanation:

someone said it is D CAN SOMEONE TELL ME THE RIGHT ONE

Answers

It is 1.16 ML

You welcome

Nick drives 7 miles in ten minutes how many miles would nick drive if he drove at the same rate for 2 hours?

Answers

Answer 84 miles

Step-by-step explanation:

2hrs= 120min

7 miles/ 10 min = x miles/ 120 min

x = 84 miles

Answer:
84 miles
Explanation:
2 hours = 120 minutes
120 / 10 = 12
12 x 7 = 84

Find the x-intercept(s) and the coordinates of the vertex for the parabola =y−x2−2x3. If there is more than one x-intercept, separate them with commas.

Answers

Answer:

Step-by-step explanation:

Your equation makes no sense.

I will ASSUME you mean

y = -x² - 2x + 3

which can be factored

y = (x + 3)(-x + 1)

x intercepts occur when y = 0

0 = (x + 3)(-x + 1)

which means either

x + 3 = 0

x = -3

or

-x + 1 = 0

x = 1

x intercepts are (-3, 0) and (1, 0)

The vertex will occur halfway between these point

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

so vertex = y = -(-1)² - 2(-1) + 3 = 4

(-1, 4)

Please help me!!! I will try to give brainliest

Answers

Answer:

Slope-intercept form: y = -3x/5 - 3

Point slope form: y = -3/5 (x + 5)

Standard form: 5y + 3x = -15

Step-by-step explanation:

Using points (-5, 0) and (0, -3)

Gradient of the line = (-3-0)/(0+5)

= -3/5

Slope intercept form; y = mx + c

when x= 0 , y = -3

therefore intercept on y axis = - 3

y= -3x/5 - 3

Point slope form: y - y1 = m (x - x1)

y - 0 = -3/5 (x + 5)

y= -3/5 (x+5)

Standard form: ax + by = c

y= -3/5 (x + 5)

5y = -3(x + 5)

5y= -3x - 15

5y + 3x = -15

Pls help I’ll brainlest ASAP

Answers

(-2,1) i think that’s the answer
3/5 is the slop 3 up 5 over

Expand & simplify
(x +3) (x-3)

Answers

Answer:

x^2 - 9

Step-by-step explanation:

Multiply parenthesis

x × x = x^2

x × -3 = -3x

3 × x = 3x

3 × -3 = -9

x^2 - 3x + 3x - 9

= x2 - 9

Help someone I don’t know the answer and I need help!

Answers

the correct answer is (-4,4) i hope this helped :)

Answer: I believe the answer is (A)  (-4,4) because the only corner that's going up towards the (f) is stopped over the 4's.

I need help with this

Answers

Answer:    y = (-5/4)x - 8

========================================================

Explanation:

Recall that y = mx+b is the slope intercept form of any linear equation

m = slopeb = y intercept

The given equation has m = 4/5 as the slope. Flip the fraction to get 5/4 and then flip the sign to get -5/4

The original slope is 4/5 and the perpendicular slope is -5/4. Note how the slopes multiply to -1.

The slope for the answer is -5/4 and the y intercept for the answer is -8

Therefore, the perpendicular line is y = (-5/4)x - 8

i’m 70% sure it’s y=-5/4x -8
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