there are 2 sections to this question: a group of teenagers are asked about their favourite hobbies. 9 males and 7 females like sports, a total of 16 people; 2 males and 3 females like video games, a total of 5 people; 3 males and 8 females like watching films, a total of 11 people, a total of 14 males and 18 females participated. question 1 - in fractions what is the probability that a teenager selected at random is female and their favourite hobby is watching films? you can simplify this fraction if you wish. question 2 - the teenager from the question above rejoins the group and another teenager is picked at random what is the probability that the teenager picked at random is male and their favourite hobby is playing video games? you can simplify this fraction if you wish

Answers

Answer 1

a) In fractions the probability that a teenager selected at random is female and their favorite hobby is watching films is given as: 1/4, while

b) if  the teenager from the question above rejoins the group and another teenager is picked at random, the probability that the teenager picked at random is male and their favorite hobby is playing video games is 1/6.

What is probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

With regard to problem (a),

There is a total of 32 teenagers.

Of those, 8 are female with a favorite hobby of watching films.

Thus,

Related Probability = 8/32; divide both numerator and denominator by 8 to get;

= 1/4

With regard to problem (b), the probability that the teenager picked at random is male and their favorite hobby is playing video games is:

P = (14/32) x  (2/14)

P = 2/32; thus

P = 1/16.

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Full Question:

A group of teenagers are asked about their favourite hobbies. The results are shown in the following table: Sports Playing video games Watching films Total

Male 9 2 3 14

Female 7 3 8 18

Total 16 5 11 32

Q6a. In fractions, what is the probability that a teenager selected at random is female and their favorite hobby is watching films? You can simplify this fraction if you wish.

Q6b. the teenager from the question above rejoins the group and another teenager is picked at random what is the probability that the teenager picked at random is male and their favourite hobby is playing video games? you can simplify this fraction if you wish


Related Questions

Write the product (x-7)^2 in standard form

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Answer:

x^2-14x+49

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a^2-2ab+b^2

if

(a-b)^2

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the answer is x^2-14x+49 for this problem

[tex]( {a}^{3})( {a}^{2} ( {a}^{6) }



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what is the number

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a
Solve. Add, subtract, multiply or divide.
Anosh collects feathers. His father started his collection by giving him 7
feathers. Since then he has collected 28 more feathers. How many feathers does
Anosh have?​

Answers

Answer:

Anosh has 35 feathers.

Step-by-step explanation:

Initially, he had 0 feathers.

His father started his collection by giving him 7 feathers.

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Anosh has 35 feathers.

Use a model to divide. 1/2÷7 . What is the answer 2/7 1/14 14 3 1/2?

Answers

Answer:

1/14 i think

Step-by-step explanation:

se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m ¿cual es el area que se va a pintar?​

Answers

Answer:

16.8 metros cuadrados.

Step-by-step explanation:

Dado que se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m, y que el área de un hexágono es igual al perímetro multiplicado por la apotema, y dicho resultado dividido por 2, para determinar cuál es el área que se va a pintar se debe realizar el siguiente calculo:

((6x3) x 2.8) / 2 = X

(12 x 2.8) / 2 = X

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16.8 = X

Así, el área que se va a pintar es de 16.8 m2.

NEED HELP ASAP (only need help on 8)
step by step preferably but any help will do

Answers

Answer:

∠W=110

∠X=110

∠Y=70

∠Z=70

Step-by-step explanation:

∠X+∠Y=180 (supplementary angles)

(13x-7)+(8x-2)=180

21x=189

x=9

∠X = 13x-7 = 13(9)-7 = 117-7 = 110

∠Y = 8x-2 = 8(9)-2 = 72-2 = 70

Since WX║ZY and WZ=XY, ∠Z=∠Y and ∠W=∠X

BRAINLIEST AND STARS


4)
Suppose a circle has a diameter of 20 inches. What is its radius?
A)
400 in
B)
40 in
C)
20 in
D)
10 in

Answers

Answer:

D

Step-by-step explanation:

The answer is 10 so D

First down = 25 yards.

Ball moved 6 yards closer = 25 - 6 or 19 yards.

Then 10 yards away = 19 + 10 or 29 yards.

Then 8 yards closer = 29 - 8 or 21 yar

Answers

This is the question.

At the start of the first down, the football was 25 yards from the Captains' end zone. During three downs, the ball moved 6 yards closer to their end zone, then 10 yards farther from it, and then 8 yards closer to it. How many yards from their end. zone was the ball at the end of the third down?

7(4g) + 3(5h) +2(-3g) g=1/2, h=1/3

Answers

Answer:16

Step-by-step explanation:

What is 13x+14=???????

Answers

Answer:

x= -1.077

Step-by-step explanation:

(13x+14) -14=0(-14)

13x/(13)= -14/(13)

x= -1.077

The mid point of ST is M=(-2,3). One end point is S=(4,-2). Find the coordinates of the other endpoint. T

Answers

Answer:

S=(6,5)?......not sure tho

Can someone help me :)

Answers

Answer:

51

b+129=180

b+95+34=180

Step-by-step explanation:

hope this helped :)

Find the cosine of <G​

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Answer:

cos G = 3/5

Step-by-step explanation:

cos = adjacent sides/ hypotenuse

cos G = FG/ GE

cos G = 3/5

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Answers

Answer:

-2x -10=4

-2×=4+10

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×=14/-2

therefore,×= -7

i wi mark you brainless and give point of this gets completed

Answers

Answer:

1. (x + 5)(x +10)

2. (x - 7)( x - 8)

3. (x - 4)( x - 7)

4. 2(7x−1)(x−9)

5. (2x+9)(x+6)

6. (x−1)(x−2)

7. (2x+3)(x+8)

8. (9x−2)(x−7)

9. 6(x−6)(x+7)

10. (9x+10)(x−4)

11. (3x+7)(x+3)

12. (x−9)(x−9)

13. 4(9x−10)(x−8)

14. 3(x+3)(x−9)

15. 2(x−1)(x+3)

16. 2(3x−1)(x+2)

17. 5(x−2)(x−2)

18. 2(x−1)(x−2)

Step-by-step explanation:

I'm so sorry it took this long that made my brain hurt it was worth it

Sorry it took so long..

hope I helped!!

6 Item 6 For a specific species of fish in a pond, a wildlife biologist wants to build a regression equation to predict the weight of a fish based on its length. The biologist collects a random sample of this species of fish and finds that the lengths vary from 0.75 to 1.35 inches. The biologist uses the data from the sample to create a single linear regression model. Would it be appropriate to use this model to predict the weight of a fish of this species that is 3 inches long

Answers

Answer:

Yes, because the regression equation is based on the random sample.

Step-by-step explanation:

A simple linear regression model that describes the relationship between X and Y takes the form

Yi= ∝ + βXi + εi or

Y i= U(y.x) + εi

where εi's are the random errors. The random errors εi's are assumed to be independent of Xi and normally distributed with E(εi)= 0 and Var (εi)= σ²(y.x) , a constant for all Xi. These assumptions imply that Yi also have a common variance σ²(y.x) ,  as the only random element in the is  εi.

The estimated regression line Y= a+ bX is also the predictor of Yi= ∝ + βXi+ εi

. That is Y^ can also be used to predict an individual value Y0 of Yi rather than a mean value, corresponding to the given X0. To draw the inferences about Y0 we need to know it mean and variance.

please tell fast plzzzzzz​

Answers

Answer:

45

Step-by-step explanation:

1/2×90

45

complement=

90-45

45

Help me please please dont answer if you don’t know i will also give brainliest

Answers

Answer:

$100.75

Step-by-step explanation:

422.05 - 106.30 - 310.00 + 95.00 = 100.75

This figure consists of a rectangle and a quarter circle.


What is the perimeter of this figure?


Use 3.14 for π.




Enter your answer as a decimal in the box.


cm

Answers

Answer:

75.27

Step-by-step explanation:

Rectangle = 20+2+2+20-11=47

quarter circle = 1/4(2)(11)(3.14)=17.27 + 11 = 28.27

47+28.27=75.27

Answer:

75.27.cm

Step-by-step explanation:

it works i got a 100 on the test

Which of the following is the expansion of
(2x + 3)^3?

Answers

I think the answer is 8×^3+36×^3+54×+27. If the answer is wrong then I'm sorry

Answer:

8x^3 + 36x^3 + 54x + 27

Step-by-step explanation:

If you're asking to expand the equation the answer is 8x^3 + 36x^3 + 54x + 27

A rectangular gate has a width of 3 feet and a length of 4 feet. What is the
length from the top left corner to the bottom right corner of the gate? *

Answers

The answer to this question will be the length is 7 feet

Carlos, Margaret, and James are playing a board game with a spinner. The spinner goes from 1 to 6. They
start by spinning to see who will go first. (Highest number will go first.)
1. First, Carlos spins a 3. How likely do you think it is that Margaret will get a higher number?

Answers

The answer would be 1/2. The probability of Margaret getting any number on the spinner would be 1/6. Since 3 doesn’t count, that means that Margaret can get the numbers 4, 5, and 6. Because of that you would do 1/6 * 3 which gets you 1/2.

Probability that Margaret will get a higher number than Carlos is 3/2.

What is probability?

Probability is the measure of the likelihood of an event to occur.

Formula of probability

P(E) = number of favorable outcomes/ total number of outcomes

Where, P(E) is the probability of an event.

According to the question we have,

A spinner goes from 1 to 6.

sample space = {1, 2, 3, 4, 5, 6}

Total number of outcomes = 6

Also, Carlos spins 3.

So, the numbers which required to win the game by Margaret are 4, 5 ,6 (greater than 3).

Total number of favorable outcomes = 3

Therefore,

The probability that Margaret will get a higher number than Carlos = [tex]\frac{3}{2}[/tex]

Learn more about probability here:

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Decide if the following is a true or false statement - explain how you know

(-3.2) + (-2.8) is positive

Answers

Answer:

false

Step-by-step explanation:

(-3.2) + (-2.8)

-3.2 - 2.8

= - 6

answer is negative so false

How many gallons of 12% salt solution should a biologist add to 5 gallons of 15% salt solution to get a 14% solution?

WILL MARK BRAINLIEST IF ANSWERED WITHIN 15 MINUTES

Answers

Answer:

life

Step-by-step explanation:

hi

reduce a)95/75 b) 250/750 to its simplest form

Answers

Answer:

a) 19/15 b) 1/3

Step-by-step explanation:

in both the question I reduced the numbers with 5

4) The overall project budget is $20,000. At Week 8, the actual cost is $9,000 and the CPI is

1.1. What is the earned value of the project at Week 8?

Answers

Answer:

the earned value of the project is $9,900

Step-by-step explanation:

The computation of the earned value of the project is shown below:

As we know that

CPI = Earned value ÷ Actual cost

1.1 =  Earned value ÷ $9,000

So, the earned value is

= 1.1 × $9,000

= $9,900

hence, the earned value of the project is $9,900

b. Solve for x in the
triangle:
74°
6x + 17
35

Answers

x = 9

Step-by-step explanation:

74° + 35° + ( 6x + 17° ) = 180°6x + 17° = 180° - 74°- 35°6x + 17° = 180° - 109°6x + 17° = 71°6x = 71° - 17°6x = 54x = 54÷6x = 9

MARK ME AS BRAINLIST PLZ FOLLOW ME
Topic :-

Triangles

Given :-

A diagram with angles 74°, 35° and ( 6x + 17 )°.

To Find :-

Value of x.

Concept Used :-

Sum of all angles in a triangle is 180°.

Solution :-

Sum of all angles in a triangle = 180°

74° + 35° + 6x + 17° = 180°

6x + 74° + 35° + 17° = 180°

6x + 126° = 180°

6x = 180° - 126°

6x = 54°

x = 9

Answer :-

So, value of x is 9.

Which equation represents the vertical line passing through (5,-4)?
x = -4

y = -4

x = 5

y = 5
pick one

Answers

Answer:

Y = -4

Step-by-step explanation:

Given:

Points (5, -4)

Computation:

We know that vertical line means Y axis

On Y axis x always zero

So,

Y = -4


Riya buys 9 square paving slabs, each with a side of 1m. She lays them in the form of square.
(a) What is the perimeter of her arrangement?​

Answers

Answer:

Step-by-step explanation:

The slabs are arranged in a 3×3 matrix. Each side is 3 m long. The perimeter is 4×3 = 12 meters.

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