Select the correct answer.
The chaperones for a field trip to the museum will be 7 history teachers and 13 science teachers. Each student on the trip will be assigned to a
group led by two chaperones.
What is the approximate probability that a random student on the trip will be assigned to a group led by two history teachers?
O A
11.1%
ОВ.
2.3%
Ос.
28.6
OD. 12.3

Answers

Answer 1

Answer:

A 11.1%

Step-by-step explanation:

The students are chosen from a sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question, we have that:

13 + 7 = 20 teachers, which means that N = 20.

7 history teachers means that k = 7.

Two teachers for each student, which means that n = 2.

What is the approximate probability that a random student on the trip will be assigned to a group led by two history teachers?

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,20,2,7) = \frac{C_{7,2}*C_{13,0}}{C_{20,0}} = 0.1105[/tex]

So close to 11.1%, and the correct answer is given by option A.

Answer 2

Answer: 11.1%

Step-by-step explanation: Correct on Edmentum

Select The Correct Answer.The Chaperones For A Field Trip To The Museum Will Be 7 History Teachers And

Related Questions

define gender based violence​

Answers

Answer:

Step-by-step explanation:

Elder abuse is any action that causes harm or distress to an older person. ...

Sexual violence is any action that results in the loss or removal of sexual autonomy for a person. ...

Stalking is a pattern of harassing behavior or course of conduct directed at a specific person that would place that person in reasonable fear.

Zoom
Solve for x: 5x = 25
20
25
( 5
0.30

Answers

Answer:

5x = 25|:5

x = 5

-1+3cotx
How do I graph this?

Answers

Desmos it’s super easy just type it in and it will give explanation

Answer:

Step-by-step explanation:

Tammy has seven pies Bryan and his friends a 2 10/12 of the pies Sharon a 1/3 of a pie how much does Tammy have left ​

Answers

Answer:

4 7/15

Step-by-step explanation:

7- 2 10/12- 1/3 = 4 7/15

There is a population of millions of computer chips produced at a factory. The production process is so precious that it is known that the population standard deviation for their mass is 2 milligrams. We want to get a 95% confidence interval for the mass of a single microchip produced here. So we randomly sample 100 microchips. The sample average mass turns out to be 1972 milligrams. They found this by placing them all on a scale at once and finding a mass of 197.2 grams, and then dividing by 100. You don't think they would actually weigh each one individually, do you? That would be super annoying.

Required:
Find a 95% confidence interval for the mass of a microchip produced at this factory.

Answers

Answer:

The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{2}{\sqrt{100}} = 0.392[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 1972 - 0.392 = 1971.608 milligrams

The upper end of the interval is the sample mean added to M. So it is 1972 + 0.392 = 1972.392 milligrams

The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.

Suppose that y varies inversely with x, and y= 3 when x = 10.
(a) Write an inverse variation equation that relates x and y.
Equation:
(b) Find y when x = 5
y =

Answers

Answer:

y=6

Step-by-step explanation:

the equation that relates x and y is y=30(1÷x)

The height of the average barn owl is 3 times the height of the average tree swallow. If x is the height of the tree swallow, which expression BEST represents the height of the average barn owl?

x+3

x−3

x×3

x÷3

Answers

Answer:

C; x*3

Step-by-step explanation:

An exercise scientist wanted to test the effectiveness of a new program designed to increase the flexibility of senior citizens. They recruited participants and rated their flexibility according to a standard scale before starting the program. The participants all went through the program and had their flexibility rated again after a month. The scientist wants to test if the flexibility ratings are significantly higher after a month of the program. Assume that these participants can be considered a representative sample and that all other necessary conditions for inference were met. Which of these is the most appropriate test and alternative hypothesis?
a) Paired t test with H : Mafter before > 0
b) Paired t test with H.: Hafier-before +0
c) Two-sample t test with H: Mbefore > Hafter
d) Two sample t test with H.: wore Manter
e) Two sample t test with H: Meedore Aladder

Answers

Answer:

a) Paired t test with H : Mafter before > 0

Step-by-step explanation:

As we do not know anything about variances we will perform a paired t test.

We want to check the effectiveness of the  new program designed to increase the flexibility of senior citizens.

So we will perform a test where the mean after the program is greater than the mean before the program.

The best option is a.

Option  a defines both objectives paired t test and difference of mean after and mean before is greater than zero.

Other options are not correct as they miss out one of the both objectives.

Find the Surface Area of this Prism

Answers

Answer:

[tex]54 m^2[/tex] is the correct answer I believe

PLEASE HELP GUYS I’m being timed

Answers

The question is the base of the triangle, so we use the formula : b²=c²–a²

——————————————————————

[tex] {b}^{2} = \sqrt{c^{2} - {a}^{2} }[/tex]

[tex] {b}^{2} = \sqrt{ {16}^{2} - {8}^{2} } [/tex]

[tex] {b}^{2} = \sqrt{256 - 64} = \sqrt{192} [/tex]

[tex] \sqrt{192} =8 \sqrt{3} [/tex]

Help !!!!!!Select the values that make the inequality h < 2 true.
(Numbers written in order from least to greatest going across.)

Answers

The correct values are: -6, -3, -1, 1, 1.9, 1.99, 1.999, 2

2.001 > 2, so it is wrong. And from that value and onwards, the values are all greater than 2 so the ones I listed above are the answers.

The required value that makes the inequality h ≤ 2 true are -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.

Given that,
To Select the values that make the inequality h < 2 true.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
The values that are less than and equal to 2 are, -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.

Thus, the required value that makes the inequality h ≤ 2 true are re, -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2


HELP TIMED----AND NO BOTS WITH /BIT
A segment which goes through two points of a circle is a …
Arc
Chord
Diagonal
Radius
Secant

Answers

a segment which goes through two points of a circle is a Radius

Prodigy
GCA Connect
C Clever | Portal
☆ Member Log
Find the Volume.
10 points
7 m
5 m
4 m

Answers

Answer:

140 m^3 = 7 x 4 x 5

Step-by-step explanation:

Volume = H * W * L

Help please need answer now

Answers

Answer:

I'm getting the answer false

Step-by-step explanation:

See the steps below:)

The map slake reads 2 inches =25 miles which distance does 6 inches represent

Answers

Answer:

75 miles

Step-by-step explanation:

Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)

[tex]\frac{25}{2} = \frac{x}{6}[/tex]

Step 2: Divide the given values (Given values are 25 over 2. We are doing this because we need to know the difference between those two figures.)

[tex]\frac{25}{2}\\\\25 \div 2\\\\= 12.5 \:or\: 12\frac{1}{2}[/tex]

Step 3: Multiply the result to the 6 (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)

[tex]12\frac{1}{2}\times6\\\\= 75[/tex]

Therefore, 75 is the distance in miles.

Mohammad is flying a kite with a 100 foot string. The kite string makes an
angle of 42° with the ground. Find the height of the kite. Round to the nearest
tenth.

Answers

Answer:

A?

Step-by-step explanation:

So sorry if im wrong

Answer:

66.9 ft from the ground

use this if you have a problem like this again

https://www.calculator.net/triangle-calculator.html

Graph the linear function.
g(x) = -1/2x +2

Answers

Answer:

UwU

Step-by-step explanation:

Hoped I helped

Find the length of side b
B= _m

Answers

Answer:

b= 0.09475

Step-by-step explanation:

Please help me Simplify 1-9÷7+3

Answers

Answer :

the answer is -4/5 or -0.8

step-by-step explanation:

1-9/7+3 = -8/10

now simplify that,

-8/2 = -4

10/2 = 5

so we have -4/5 0r -0.8

Answer:

[tex]1-9\div \:7+3\\9\div \:7\\=\frac{9}{7}\\=1-\frac{9}{7}+3\\=\frac{19}{7}\\\frac{19}{7}\\2\frac{5}{7}\\ans:=2\frac{5}{7}[/tex]

hope this helps you

WILL GIVE BRAINLIEST
A number n, when divided by 4, gives –10. What is the value of n?

Answers

It’s probably -40,
-40/4 = -10
Hope this helps!

At a factory, light bulbs are packed in boxes that are then placed in a shipping container.
• Each box is in the shape of a cube.
• Each box has an edge length of foot.
• A shipping container has dimensions of feet by 1 foot by 2 feet.
What is the total number of boxes of light bulbs that the shipping container can hold when completely full?

Answers

Answer: 144

Step-by-step explanation: You need to find the volume of the shipping container and divide it by the volume of a box.

2 2/3 x 1 x 2 = 16/3

1/3 x 1/3 x 1/3 = 1/27

16/3 divided by 1/27 is 144.

What is the image of (-1, 1) when reflected across the line y = x?

Answers

Answer:

(1, -1)

Step-by-step explanation:

I can confirm that it is (1, -1)

The difference of two times a number and five is eight more than the number.
find the equation and solve for x

Answers

Answer:

x = 13

Step-by-step explanation:

The difference of two times a number and 5: [tex]2x-5[/tex]

Eight more than a number: [tex]x + 8[/tex]

You can create the following equality with this:

[tex]2x - 5 = x + 8[/tex]

Which is solved as follows:

[tex]2x-5=x+8\\2x-x=8+5\\x=13[/tex]

Answer:X= 13

Step-by-step explanation:

Step 1:

Let the unknown number be x

Such that the difference of two times a number and five is represented mathematically as 2x -5

And  eight more than the number can be expressed as

8 +x

Joining the two expressions to get an equation becomes 2x-5= 8+x

Step 2: Solving for x

2x-5= 8+x

We first find  like terms and solve

2x-x=8+5

We are now left with

x=13 as the answer.

See related question and answer here: https://brainly.com/question/17882257

In a place 100 soldiers had enough food for 60 days .how many soldiers leave the place so that food long last for 80 days

Answers

Answer:

48 soldiers leave the place.

Step-by-step explanation:

100/60=80/x100x=4800x=4800/100x=48

hope it helps.

stay safe healthy and happy.

Solve the area
I hate geometry ​

Answers

Answer:

Step-by-step explanation:

Area of a llgm = base * height

Base = 20 ft.

Height = 10 ft.

Area = 20*10 = 200 ft.

Hope it helps u

Please mark as brainliest

Thank You

Answer:

200ft

Step-by-step explanation:

Area of a parallelogram is b*h .

base, b=20ft

height, h= 10ft

Therefore, area= 20*10=200ft

What are the angles of x and y?​

Answers

Answer:

x = 55

y = 70

Step-by-step explanation:

x = 180-125

  = 55

y = 180-(55x2)

  = 180-110

  = 70

Feel free to mark it as branliest :D

Determine if these values form a right triangle. E

Answers

Answer:

They do not.

Step-by-step explanation:

a² + b² = c²    c is the hypotenuse

9² + 12² = 17²

81 + 144 = 289

225  ≠  289

A tree grows exactly one half meter in height per year. The tree is currently 8 meters tall. If someone hammers a nail into the tree at a height of exactly 2 meters, how high will the nail be after 12 years of growth

Answers

Answer:

2 meters

Step-by-step explanation:

Given

[tex]a= 8m[/tex] --- initial

[tex]r = \frac{1}{2}m/year[/tex] --- rate

[tex]t = 12\ yrs[/tex]

[tex]Nail = 2m[/tex]

Required

The height of the nail after 12 years

The top of the tree will continue growing at the given rate, however, the height of the nail will remain unchanged.

This is so because when trees grow, they grow from the top; i.e. the heights are increased at the top while the bottom remains unchanged.

Hence, the height of the nail after 12 years in 2m

Huilan is 13 years younger than Thomas. The sum of their ages is 33. What is Thomas's age?

Answers

Answer:

Thomas is 20 years old

Step-by-step explanation:

33 - 13 = 20

The radius of a cylindrical water tank is 4 ft and its height is 10 ft. What is the volume of the tank?

Answers

Answer:

160π cubic feet

Step-by-step explanation:

V= πr²h

V= π x 4²x 10

V = 160π cubic feet

Other Questions
What is the greatest common factor of 20, 12, and 36? What do you call an object that travels through the Earths atmosphere to strike the Earth causing a small crate to form?Question 1 options:a meteor or meteoritea cometa staran asteroid-----------------------------Question 2 (1 point) Which kind of body is the smallest?Question 2 options:cometsplanetsasteroidsmeteoroids------------------------------Question 3 (1 point) When a comet nears the sun, what happens to the nucleus?Question 3 options:Scientists do not know.It becomes gas.It becomes liquid.It becomes solid.----------------------------------Question 4 (1 point) Which type of body has a core made of ice, dust, and rock?Question 4 options:cometsstarsasteroidsmeteors----------------------Question 5 (1 point) Which kind of body has a nucleus, coma, and tail?Question 5 options:asteroidsmeteorscometsstars PLEASEE HELPP ASAP!Consider a right triangle which ischanging shape in the followingway. The horizontal leg isincreasing at the rate of 11 in/minand the vertical leg is decreasingat the rate of 5 in/min. At what rate lincolns emancipation proclamation declared..1). slaves in the union states be free2). slaves in the confederate states to be free3). slaves in the US territories be free In the sentence below, the underlined portion is a clause. Identify the type of clause.I can't go to the movies since I don't have anymoney.Independent clauseDependent clauseNon essential clause None of the choices What type of organisms do scientist usually agree that birds are descended from?A) reptilesB) fishC) amphibiansD) mammals Researchers studying two populations of wolves conducted a two-sample t-test for the difference in means to investigate whether the mean weight of the wolves in one population was different from the mean weight of the wolves in the other population. All conditions for inference were met, and the test produced a test statistic of t=2.771 and a p-value of 0.01.Which of the following is a correct interpretation of the p-value?a. Assuming that the mean weights of wolves in the populations are equal, the probability of obtaining a test statistic that is greater than 2.771 or less than 2.7712.771 is 0.01.b. Assuming that the mean weights of wolves in the populations are equal, the probability of obtaining a test statistic that is greater than 2.771 is 0.01.c. Assuming that the mean weights of wolves in the populations are different, the probability of obtaining a test statistic that is greater than 2.771 or less than 2.7712.771 is 0.01.d. Assuming that the mean weights of wolves in the populations are different, the probability of obtaining a test statistic that is greater than 2.771 is 0.01.e. Assuming that the mean weights of wolves in the populations are different, the probability of obtaining a test statistic that is less than 2.771 is 0.01.a [tex]2(x+30)=60[/tex] If the board length of an average log is 8.25 and the price per board foot is 7.95. What is the value of the timber if there are 100 logs? What other methods can activists use to bring about change? Equal masses of gaseous N2 and Ar are placed in separate flasks of equal volume at the same temperature. Tell whether each of the following statements is true or false. a. There are more molecules of N2 present than atoms of Ar. Blank 1 b. The pressure is greater in the Ar flask. Blank 2 c. The N2 molecules collide more frequently with the walls of the flask than do the Ar atoms. A 3.0-A current is maintained in a simple circuit that consists of a resistor between the terminals of an ideal battery. If the battery supplies energy at a rate of 25 W, how large is the resistance I need answer to both of the questions please someone!! 20points He box-and-whisker plot below shows the distribution of the ages, in years, of the trees in the Gordons' back yard. The title of the box and whisker plot is, Ages of Trees. The number line is labeled, age, in years, and ranges from 15 to 65. Based on the data shown in the box-and-whisker plot above, what is the interquartile range of the ages, in years, of the trees? Respond in the space provided. If your test is on paper, write your answer on the answer she Write the equilibrium expression for the following reactions:1. 4NH3 (g) + 5O2 (g) 4NO (g) +6H2O (g)2. ZrI4 (s) Zr (s) + 2I2 (g)3. NH3 (g) + HCl (g) NH4Cl (s) According to the cell theory, which describes cells?All organisms are composed of multiple cells.All cells have the same structure and function.Cells are found in everything on Earth.All living cells come from other living cells. How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?onemore than onenone The question is in the picture (Alegbra 1) Based on the context clue in the passage, what does abhor mean?I abhor folding laundry. When my dad asks me to fold towels, I want to run and hide. I would rather do any otherchore than folding laundry. I really dislike it. Do you want me to mow the lawn? I'll do it, happily. Do you want me towash the dishes? Absolutely, I'll do it. But please don't ask me to fold laundry.o to not do something very wello to wish to do something betterO to feel strongly against somethingO to regard with powerful affection Hyder Ali and Tipu Sultan were great warriors of their time but they couldn't defeat the British. Give the reasons for this.