From a group of 6 people, you randomly select 3 of them. What is the probability that they are the 3 oldest people in the group

Answers

Answer 1

Answer:

[tex]Probability = \frac{1}{20}[/tex]

Step-by-step explanation:

Given

[tex]People = 6[/tex]

[tex]Selection = 3[/tex]

Required

Determine the probability of selecting the oldest 3

First, we need to determine the total possible selection.

Since it's a selection, we make use of combination as follows:

[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]

In this case:

[tex]n = 6[/tex]

[tex]r = 3[/tex]

So:

[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]

[tex]^6C_3 = \frac{6!}{(6-3)!3!}[/tex]

[tex]^6C_3 = \frac{6!}{3!3!}[/tex]

[tex]^6C_3 = \frac{6*5*4*3!}{3!3*2*1}[/tex]

[tex]^6C_3 = \frac{6*5*4}{3*2*1}[/tex]

[tex]^6C_3 = \frac{5*4}{1}[/tex]

[tex]^6C_3 = 20[/tex]

In the combination, there can be only 1 set of oldest people.

So:

[tex]Probability = \frac{1}{20}[/tex]


Related Questions

Whole numbers and the counting numbers less than zero are called ______.

Answers

Answer:

integers

Step-by-step explanation:

integers include whole numbers and negative non fractions

Jesse scored 144 points this football season. He scored all his points with 50 yard field goal kicks, which are worth 3 points each. How many field goals did Jesse make this season?

Answers

Answer:

Jesse makes 290 points in the season

Step-by-step explanation:

I did 144+150 and that equals 290

Which is greater 3.75 3.750

Answers

Answer:

None

Step-by-step explanation:

They are the same number

They are equal and neither is greater than the other.

In the decimal number system, trailing zeros after the decimal point do not affect the value of the number. They are considered insignificant and are not used to determine the magnitude or comparison of the numbers.

When comparing 3.75 and 3.750, it's important to understand that they represent the same value. The digits after the decimal point in both numbers are identical. The presence of the trailing zeros in 3.750 does not change the actual value of the number; it's just a different representation.

To illustrate this, let's consider the number line:

3.749  <  3.7499  <  3.74999  <  3.75  =  3.750  <  3.7501  <  3.75001  <  3.751

As you can see, both 3.75 and 3.750 lie at the same point on the number line, indicating that they are equal in value. The trailing zeros in 3.750 are insignificant and do not affect the magnitude or comparison of the numbers.

Therefore, in terms of their numerical value, 3.75 and 3.750 are equivalent and not different from each other.

To know more about greater:

https://brainly.com/question/28944437

#SPJ2

Complete question is:

Which is greater 3.75 or 3.750.

Jason and Nick were biking at a constant speed of 10 seconds, Jason biked 30 meters and Nick biked 45 meters. Who was biking at a faster rate?

Answers

Answer:

Nick

Step-by-step explanation:

Find their rates by dividing the number of meters they biked by 10:

Jason:

30/10

= 3 meters/sec

Nick:

45/10

= 4.5 meters/sec

So, since 4.5 is bigger than 3, Nick was biking at a faster rate.

need a answer for this question ​

Answers

Answer:

what question

Step-by-step explanation:

Answer:

..............................................

Step-by-step explanation:

Jordan is another employee at the same coffee shop. He has worked there longer than Gabe and earns $3 more per hour than Gabe. Complete the table below to show how much Jordan earns. What goes in cell A?
NEED THIS DUE BY TOMORROW.

Answers

we need a picture of the table

The density of a certain material is such that it weighs 8 ounces for every 3 gallons of volume. Express this density in grams per cubic meter. Round your answer to the nearest whole number.

Answers

Answer:

≈19974 grams per cubic meter.

The required density in grams per cubic meter is 19895 g / m³.

Given that,
The density of a certain material is such that it weighs 8 ounces for every 3 gallons of volume. Express this density in grams per cubic meter, round your answer to the nearest whole number, is to be determined

What is volume?

Volume is defined as the ratio of the mass of an object to its density. And that space is occupied by an object in the space.

Here,
1 gallon = 0.0038 m³
3 gallon = 0.0114 m³
Volume = 0.0114 m³


Mass =

1 ounce = 28.35 g
8 ounce = 8 * 28.35
8 ounce = 226.8 g
Mass = 226.8 g

density = mass / volume
            = 226.7 / 0.0114
            ≈ 19895 g / m³


Thus, the required density in grams per cubic meter is 19895 g / m³.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ5

One baseball team won 22 games throughout their entire season. Of all
their games, this team won 55% of them. Given this, how many games in
total did this baseball team play?*
*

Answers

The answer is 12 games.
You get this by doing 22 * 0.55

HELP PLSSSS

In a race, a red car starts 1 km behind a blue car. The red car is traveling at 55 km per hour, while the blue one
is traveling at 40 km per hour. How long will it take for red car to overtake the blue one?

Answers

Answer:

The red car will need 4 minutes to overtake the blue car.

Step-by-step explanation:

Constant Speed Motion

When an object travels equal distances in equal times, it's said to have a constant speed.

The speed is the ratio between the distance d and time t.

[tex]\displaystyle v=\frac{d}{t}[/tex]

If the speed is known, we can solve the equation for d:

d = v.t

Similarly, the time is calculated as:

[tex]\displaystyle t=\frac{d}{v}[/tex]

In the race, the red car starts 1 Km behind a blue car. The red car travels at 55 Km/h and the blue car travels at 40 Km/h. Since the red car moves faster, it will eventually overtake the blue car.

The difference in speeds between both cars is 55 - 40 = 15 Km/h.

That relative speed makes both cars to get closer until the head start is overtaken. Thus, the time needed for both cars to meet is:

[tex]\displaystyle t=\frac{1~Km}{15~Km/h}[/tex]

t = 0.0667 hours.

Computing in minutes:

[tex]\displaystyle t=\frac{1~Km}{15~Km/h}*60[/tex]

t = 4 minutes.

The red car will need 4 minutes to overtake the blue car.

ursula has a picture that is 3in wide and 4in long. she wants to enlarge it so that it s 12in long.How wide will the painting be?

Answers

Answer:the length is 3

Step-by-step explanation:

Answer:11

Step-by-step explanation:

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?

(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)

Answers

The answer is (8, 2.40)

round 2.348 to the nearest tenths place

Answers

Answer: 2.3

Step-by-step explanation: Tenths is the first number after the decimal, and the number after (hundredths place) has to be between 5 and 9 to round up to 2.4, so instead you round down to 2.3.

Find the measure of the arc or central angle indicated. PLS HELP.

Answers

Answer:

45 degrees

Hope this helps

Happy early

Thanksgiving

:)

The answer is 45DEGREASE

A candy box measures 8.2 cm in diameter and 15 cm in height. How many 2 cm cubed pieces of candy can fit into the box?

Answers

60 2cm candy prices can fit because if you multiply 8.2 by 15 it equals a decimal and if you divide it by 2 that the nearest whole number you’ll get is 60, so the answer has to be 60.

Evaluate x=2
F(x)=2x+4

Answers

X=2
F(x)=2(2)+4
f(x)=8

Which two processes are destructive forces that occur during sedimentary rock formation?

cementation and compaction
compaction and deposition
deposition and weathering
weathering and erosion

Answers

Answer:

D. Weathering and erosion

Step-by-step explanation:

Sedimentary rocks are formed from sediments and deposits particles of various types, forms and sizes that are transported by air, wind and water, and then subjected to chemical processes to become rocks. These types of rocks are usually found in the form of layers or strata in places where sediment accumulates due to the erosion of other materials, for example on the banks of rivers, in valleys and lakes (and any other type of body of water)

In this sense, the processes that contribute to the formation of a sedimentary rock are weathering and erosion.

Answer:

(D)

Step-by-step explanation:

Sedimentary rock formation begins with igneous, metamorphic, or other sedimentary rocks. When these rocks are exposed at the earth’s surface they begin the long slow but relentless process of becoming sedimentary rock.All rocks are subject to weathering. Weathering is anything that breaks the rocks into smaller pieces or sediments. This can happen by the forces of like wind, rain, and freezing water.The sediments that form from these actions are often carried to other places by the wind, running water, and gravity. As these forces lose energy the sediments settle out of the air or water. As the settling takes place the rock fragments are graded by size. The larger heavier pieces settle out first. The smallest fragments travel farther and settle out last. This process of settling out is called deposition.The combination of weathering and movement of the resulting sediments is called erosion.Lithification is the changing of sediments into rock. There are two processes involved in this change. They are compaction and cementation.Compaction occurs after the sediments have been deposited. The weight of the sediments squeezes the particles together. As more and more sediments are deposited the weight on the sediments below increases. Waterborne sediments become so tightly squeezed together that most of the water is pushed out. Cementation happens as dissolved minerals become deposited in the spaces between the sediments. These minerals act as glue or cement to bind the sediments together.

Craig went bowling with $25 to spend. He rented shoes for $5.00 and paid $4.00 for each game. What was the greatest number of games Craig could have played?

Answers

Answer:

5 games

Step-by-step explanation:

Answer:

6 games.

Step-by-step explanation:

    25 - 5 = 20 {We subtract 5 from 25 because craig has 25$ to spend, and are renting shoes for 5$. The rest of the money is going towards the cost PER game, shown in step 2.}

    20 divided by 4 = 6. {4$ is the cost of each game. Therefore, divide 20 by 4.}

hope this helped! Have a great day/night!! :')

please answer this question GIVING BRAINLIEST!!

Answers

Answer:11

Step-by-step explanation:

Answer:

the answer i belive is 11

Step-by-step explanation:

Two sisters, Jenny and Jada, are saving money for summer vacation. Their mom gets them started by giving the two sisters, Jenny and Jada, $25. Each sister will put part of the pay from their after-school job in the account each week. Jenny will deposit $8 per week. Jada will each deposit $5 per week.
1. Make a table for the total savings for each sister.
2. Graph each sister’s savings on the same set of axes.
3. Find the slope and y-intercept of the graph of each sister.
4. Model each sister’s savings plan using an equation in the form y = mx + b.
5. How much will each sister have after 3 weeks? After 7 weeks?

6. Who will have more money saved? Explain how you know?

Answers

Answer:

Step-by-step explanation:

This problem requires the use of the Pythagorean Theorem to find the lengths of the sides of a piece of property in the shape of a right triangle

Example:

Taylor finds a piece of property in the shape of a right triangle. She finds that the longer leg is 10 m shorter than twice the length of the shorter leg and the hypotenuse is 20 m longer than the longer leg. Find the lengths of the sides of the triangular lot.

a girl had $35.00 in coins if all the coins are quarters how many would she have

Answers

Answer:

140 quarters

Step-by-step explanation:

Answer:

so if 1 dollar has 4 quarters you do 4 (how many are in 1 dollar) x 35 (how many dollars) = 140 quarters

6. Solve the problem. A carousel has a radius of 18 feet and takes 31

seconds to make one complete revolution. What is the linear speed of

the carousel at its outside edge? Express the answer in feet per second.

If necessary, round the answer to two decimal places.

Answers

Answer:

v = 3.64 ft/s

Step-by-step explanation:

Given that,

Radius of a carousel, r = 18 feet

It takes 31 seconds to complete revolution.

We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.

d = 2πr

d = 2π × 18 = 113.09 feet

Let v is the linear speed. It can be given by :

[tex]v=\dfrac{D}{t}\\\\v=\dfrac{113.09}{31}\\\\v=3.64\ ft/s[/tex]

So, the linear speed of the carousel is 3.64 ft/s.

HELP PLEASE

What's the slope?
The graph isn't showing so add me on sc if it isn't for you
Thanks sooooo muc

Answers

Answer:

whats ur sc

Step-by-step explanation:

There are 330 jellybeans in 6 bags. How many jellybeans in 2 bages?

Answers

Answer:

110

Step-by-step explanation:

Answer:

its 110

Step-by-step explanation:

Please say why it is the answer

Answers

The third one.I’m pretty sure

Houses cover 51% of the area of a desert community. Use the grid to model the community and complete the statements. The entire area of the community is represented by squares. The squares that have houses on them represent the area of the community covered with houses.

Answers

Answer:

Too lazy To type put here is an image

Answer:

The entire area of the community is represented by  

   49

   51

✔ 100

   151

squares.

The  

   49

✔ 51

   100

   151

squares that have houses on them represent the area of the community covered with houses.

Help me please also put in the comments how to mark you brainilest if you get it correct

Answers

Answer:

4: 60

5: 96

Step-by-step explanation:

6 times 10

8 times 12

Answer:

4 is 60

5 is 96

Step-by-step explanation:

Rebecca needs 10 1/2 yards of fabric to make quilt. She has one piece of fabric that is 2 1/2 yards and another piece of fabric that is 4 1/4. How many more yards does rebecca need to make the quilt?

Answers

Answer:

-15/4

Step-by-step explanation:

Add 2 1/2 and 4 1/4

Take that fraction and subtract it from 10 1/2

PLEASE HELP!
Solve |3x|-3=3-6x

Answers

Answer:

The answer is 00000000    |3x|-3=3-6x=0

Step-by-step explanation:

Answer:

the answer is  [tex]x=\frac{2}{3}[/tex]

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

2 points
Which of the following is a Linear Function? *
A

В
С
А
ООС
B

Answers

I think it’s none hope it’s right

What is the value of p in the equation p/6=36

Answers

Answer:

216

Step-by-step explanation:

36*6=216

Other Questions
7. On Monday, Jeremiah had a debt of $92.80 after buying a pair of Jordan's. Jeremiah waspaid $126.42 from his job at Home Depot on Tuesday. After depositing his check fromHome Depot, what is the amount, in dollars, in Jeremiah's bank account?A $33.62B. $219.22C. $174.42D. $42.22 I don't understand my science usatestprep In geometry class, Ben took 6 tests. His scores were 82,87,86, 85, 80 and 66. What was his average score on the test? what is (4 x 103)(7 x 105). Difference between a parliamentary democracy and a presidential democracy is the prime minister is a member of the ____________ but the president is not. Do these pairs of values (xand y) represent two quantities that areproportional?14283126 24O A No, because the yvalues are not increasing at a constant rate.OB. Yes, because all of the pairs represent the same ratioO C. No, because only one of the pairs is a simplified ratio.O D. Yes, because as x increases, y increases. Did the United States demonstrate that they were a competitive World Power at the conclusion ofWWI? 6. Which Thanksgiving dish contains the most dietary fiber ? (Corn) (Mashed Potatoes) (Sweet Potatoes) (Pecan Pie) 4. The capital of Tipu Sultan was(a) Mysore(b) Avadh(c) Mangalore(d) Seringapatam Describe how you watched the election night and how long did you watch it? help!!which two east asian languages have no common ancestorill give brainliest!!!! First answer is brainlyist 50points Which is larger, 52 or 33? What is your favorite quote from your favorite book?Why is this quote your favorite?Plz include quote, book title, and author.Random question cause I love books. Mine is "He wasn't choosing to die. His rose was his whole life. Without her, he wasn't really alive." -Everything, Everything by Nicola Yoon Regulators could have . This would be a more efficient way of helping seniors pay their electric bills because it would While visiting Crimson lake, Sally decided to go kayaking. The rangers charge $8.50 per hour in addition to a $25 deposit to rent the kayak. If she rented the kayak from 11:30 am to 2:30 pm, write and solve a linear equation to find the total cost to rent the kayak. According to Jewish scripture, why is Moses an important figure? Check three answers.a. He freed the Hebrews from slavery in Egypt.b. He ruled the Hebrews as their pharaoh in Egypt.c. He started a Hebrew kingdom in Egypt.d. He delivered the Ten Commandments from God to the Hebrews.e. He wrote down the Torah as the first five books of Jewish scripture. Choose the true statement below. (html) -Content should be contained in the head tags - Element tags can/should go between the head and body tags -Content should be contained in the body tags - All answers listed What number is 21% of 450? 6th grade pre teacher ED i mark as brainliest please answer all 3