3. There are 500 students in Pures College, 150 students are enrolled in Statistics course and 80 students are enrolled in a Maths course. There are 30 students who are taking both Statistics and Maths courses. (6 marks) Required: If a student is chosen at random a. What is the probability that the student is taking Statistics b. What is the probability that the student is taking Maths given that the student is also taking Statistics c. What is the probability that the student is taking Statistics given that the student is also taking Maths

Answers

Answer 1

Answer:

a. 0.3

b. 0.2

c.0.375

Explanation:

A.  is asking for the number of students taking stats divided by the total Students. So in this case 150/500 which equals 0.3

B. This is asking for the number of students taking both stats and math divided by the number of students that are taking stats. So 30/150 which equals 0.2

C. This is asking for the number of students taking both stats and math divided by the number of students that are taking math. So 30/80 which equals 0.375

Answer 2

The probabilities for the different given scenarios are;

A) 0.3

B) 0.2

C) 0.375

We are given;

Total number of students enrolled in pures college = 500Number of students taking statistics = 150Number of students taking Maths = 80Number of students taking both maths and stats =30

A) Probability that the student is taking statistics = 150/500 = 0.3

B) The probability that the student is taking Maths given that the student is also taking Statistics = 30/150 = 0.2

C) The probability that the student is taking Statistics given that the student is also taking Maths = 30/80 = 0.375

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Related Questions

Write the equation of a parabola that has vertex (2.5, 2.75) and passes throught the point (1,5).

Answers

Answer:

y = (x - 2.5)^2 + 2.75

Explanation:

y = a(x - h)^2 + k - Vertex form

y = a(x - 2.5)^2 + 2.75 - Replacing h with 2.5 and k with 2.75

5 = a(1 - 2.5)^2 + 2.75 - Replacing x with 1 and y with 5

5 = 2.25a + 2.75 - Doing (1 - 2.5)^2 = 2.25 times a = 2.25a

2.25 = 2.25a - Subtracting 2.75 on both sides

a = 1

y = 1(x - 2.5)^2 + 2.75 - Replacing a with 1

So the equation of a parabola is y = (x - 2.5)^2 + 2.75

The vertex of a parabola is the minimum or the maximum point of the parabola

The equation of the parabola is [tex]\mathbf{y = a(x -1)^2 + 5}[/tex]

The given parameters are:

[tex]\mathbf{(x,y) = (2.5,2.75)}[/tex] --- point

[tex]\mathbf{(h,k) = (1,5)}[/tex] -- vertex

A parabola is represented as:

[tex]\mathbf{y = a(x -h)^2 + k}[/tex]

Substitute the given values in the above formula

[tex]\mathbf{2.75 = a(2.5 -1)^2 + 5}[/tex]

[tex]\mathbf{2.75 = a(1.5)^2 + 5}[/tex]

[tex]\mathbf{2.75 = 2.25a + 5}[/tex]

Subtract 5 from both sides

[tex]\mathbf{2.25a =-2.25}[/tex]

Divide both sides by 2.25

[tex]\mathbf{a =-1}[/tex]

Substitute [tex]\mathbf{a =-1}[/tex] and [tex]\mathbf{(h,k) = (1,5)}[/tex] in [tex]\mathbf{y = a(x -h)^2 + k}[/tex]

[tex]\mathbf{y = a(x -1)^2 + 5}[/tex]

Hence, the equation of the parabola is [tex]\mathbf{y = a(x -1)^2 + 5}[/tex]

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Percent of change
Find the Percent of decrease for the following problems:
1. Chad played three hours of Pokémon Go per day during the summer. Since
school began, he is only allowed to play one hour per day.
2. Karen has 7 Eevees in her Pokémon stash. She transferred some in to the
Professor and now only has 2 Eevees.
3. It takes 200 coins to get a bag upgrade in Pokémon Go. The creators
decided to throw a sale on bag upgrades. For one day only, anybody can
upgrade their bag for 125 coins.

Answers

Answer:

1. 66.6%

2. 71.42%

3. 37.5

Explanation:

percent of decrease= (new - old) /old

1. Chad's play time decreased by 66.66%.

2.  Karen's number of Eevees decreased by 71.42%.

3. The price of a bag upgrade decreased by 37.5%.

How do we calculate?

1.

Chad's original play time was 3 hours per day. His new play time is 1 hour per day. The percent decrease is:

(Original - New) / Original * 100%

= (3 - 1) / 3 * 100%

= 2 / 3 * 100%

= 66.66%

2.

Karen's original number of Eevees was 7. Her new number of Eevees is 2. The percent decrease is:

(Original - New) / Original * 100%

= (7 - 2) / 7 * 100%

= 5 / 7 * 100%

= 71.42%

3.

The original price of a bag upgrade is 200 coins. The sale price is 125 coins. The percent decrease is:

(Original - Sale) / Original * 100%

= (200 - 125) / 200 * 100%

= 75 / 200 * 100%

= 37.5%

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Complete the square:36x=-4x^2-50

Answers

Answer:

The Answer is the following :

Explanation:

X=-5 I think is the answer I might be wrong but I’m sure of it

The layers of rock in the foreground of this photo are also found near the top of the flat area in the background
A. Vibration
B. Shearing
C. Uplift
D. Compression

Answers

Answer: B Shearing

Explanation: I put compression and got it wrong and there is no way it could be Vibration or Uplift It's shearing good luck

Answer:

C. uplift

Explanation:

got it correct :)

some famillies need a little time to from stressful events

Answers

adjust to changes HOPE I HELPED BRAINLY PLZZZZ

Answer:

yes they do

Explanation:

Use the graph to answer the question,
Distance Jumped
12
10
8
Number of Feet
6
2.
0
Jim
Matt
Sam
Name
How much farther did sam jump than Matt?
O A
I AIR
OD. 4ft
B. 2 ft
O 6.5
O c. at

Answers

Answer:

f

Explanation:

f

Children have a different number of bones than adults do. What reasoning explains this?

Group of answer choices

As children develop, their bones become damaged, and they experience bone loss. Adults have fewer bones as a result.

As children develop, they grow new bones, and adults have more bones as a result.

As children develop, some of their bones fuse together, and adults have fewer bones as a result.

As children develop, some of their bones separate into smaller bones, and adults have more bones as a result. SCIENCE

Answers

Answer:

gdhfvsgdfffffdfffdfdddffddddffff

It is the 3rd answers

How do I solve this using long polynomial division?

Answers

the answer is

[tex] \frac{ {x}^{3} - 5x + 6}{x - 3} [/tex]

Answer: maybe this image will help you

Select all the correct answers.
Which of the following questions should your peer reviewer answer while reading your persuasive essay?
What are the main points of the argument?
Will the teacher be impressed by the essay?
How many pages does the essay contain?
How did the author back up each point?

Answers

a and d. Hope I’m right

Answer:

a,d

Explanation:

edge 2020

¿cual es la respuesta correcta? un rombo se diferencia de un cuadrado en.... 1- que puede tener sus lados iguales 2a2 2-que puede tener sus angulos iguales 2a2 3-ambas respuestas anteriores son correctas porfavor, necesito que me ayuden, es para ahora

Answers

Answer:

3.

Explanation:

Se diferencias en sus ángulos: el cuadrado tiene cuatro ángulos rectos y el rombo dos á obtusos y dos ángulos agudos.

Se diferencian en que, el cuadrado tiene sus 4 lados iguales y el rombo tiene 2 lados iguales.

When Samantha travels south from her hometown in Philadelphia, she often takes on a Southern accent and
uses words and phrases unique to the south when speaking with others. This is an example of the

Answers

Answer:

Chameleon Effect

Explanation:

The Chameleon effect is the  change of behavior depending on the environment around the person.

Since Samantha is using  words and phrases unique to the south while speaking with others, she is adapting her behavior to her surroundings and social environment.

Let me know if this helps!

the first documentation about slaverly in human history can be found in the

Answers

Answer:

Hammurabi

Explanation:

Because of their sociological social make-up, we are certain that Slavery was not part of hunter-gatherer cultures.

May I please have brainliest

Hope this helps

(∵°∪°∴)

offspring from the first cross

Answers

uhm, where the question? i’m slow lol nvm
The offspring make up the first filial (F1) generation. Every member of the F1 generation is heterozygous and the phenotype of the F1 generation expresses the dominant trait. Crossing two members of the F1 generation produces the second filial (F2) generation.

the load riquirment in your plan is 60 psf at a jiost spacing of 16 inches. if the room dimensions are length 13 feet 2 inches and width 11 feet and 7 inches, are 2x10 boards apporiate

Answers

Answer:

no

Explanation: 2 x 10 = 20

Given that the load requirement is 60 psf and has jpist spacing of 16 inches, given these dimensions, the answer is:  No, because the 2 x 10 boards can support neither the width nor length of the room.

Why is this option the rights answer to the question?

To arrive at a conclusion, we have to be considerate of the length and the width of the room that is involved.

The length of this board is said to be a 2x10. Therefore it can be concluded that this length cannot cover up for a room of 13 feet 2 inches and 11 feet 7 inches.

complete question:

The load requirement in your plan is 60 psf at a joist spacing of 16 inches. If the room dimensions are length 13 feet 2 inches and width 11 feet 7 inches, are 2×10 boards appropriate? A. Yes, because 2 x 10 boards can support the width and length of the room B. Yes, because 2 x 10 boards support the 70 psf C. No, because 2 x 10 boards can support only the width of the room D. No, because the 2 x 10 boards can support neither the width nor length of the room

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Please help me I have no idea how to do this!

You want to get an ice cream sundae. You want to have 2 flavors of ice cream and 3 different toppings. If there are 10 flavors of ice cream and 8 different toppings, how many ways can you make your Sundae?

Answers

The answer is there is 5 different ways you can make it

Take a few moments to reflect on the week. Write at least 50 words describing a concept, skill, or idea you learned about or discussed in one of your classes. How did learning this skill or idea influence your view of the world? How did it prepare you for the future? Do you think you will ever use that particular skill or perhaps a skill based on it?

Answers

Answer:

sorry if this is long

Explanation:

literally this whole week was either boring or upsetting. so basically in my math class, my math teacher left us for like 3 days of the week for whatever reason and she is literally the best. she makes me calmer and it stressed me out that she wasn’t there (its weird i know) but im not sure if she’s back yet or not. now i have to make a poster, do an essay, 3 part test (like 5 - 7 questions each) and probably something else that my next class will assign. and there’s a whole bunch of death. i’m stressed. and no i don’t think that anything i learned this week i will use in the future. there’s nothing i can think of that i would need it for. maybe a skill based on it, i’m not sure but yeah. i didn’t really answer towards the question but uh thanks for the points and letting me rant.

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