Mathematics High School

7. The table below shows the soft drinks preferences of people in two age groups.
Sprite
Lemonade
20
30
50
Under 21 years of age
Between 21 and 40
Totals
25
35
60
If one of the 110 subjects is randomly selected, find the probability that:
a) A person prefers to drink sprite
b) A person is between 21 and 40 years old.
c) A person drinks lemonade given they are between 21 and 40.
d) A person drinks Sprite given they are under 21 years of age.
Totals
45
65
110?

Answers

Answer 1

Using it's concept, the probabilities are given as follows:

a) 0.5455 = 54.55%.

b) 0.5909 = 59.09%.

c) 0.4615 = 46.15%.

d) 0.5556 = 55.56%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

Out of 110 people, 60 prefer sprite, hence the probability is:

p = 60/110 = 0.5455 = 54.55%.

Item b:

Out of 110 people, 65 are between 21 and 40, hence the probability is:

p = 65/110 = 0.5909 = 59.09%.

Item c:

65 people are between 21 and 40, and of those, 30 drink lemonade, hence the probability is:

p = 30/65 = 0.4615 = 46.15%.

Item d:

45 people are under 21 years of age, and of those, 25 drink sprite, hence the probability is:

p = 25/45 = 0.5556 = 55.56%.

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Related Questions

Diego hosted a spaghetti dinner for the soccer team. He made 6 boxes of spaghetti to feed the 20 people that came. Next time, 50 people are coming! How many boxes of spaghetti should Diego buy to feed all those people? Explain or show your reasoning.

Answers

6 boxes of spaghettis for 20 persons so that means 12 boxes for 40 persons since there are 50 persons we have 10 persons left since 10 is equals to 20 divided by 2, divide 6 by 2 which is equals to 3 then add 12
Answer: 15

When h(1)=-2, and h(n)=h*(n-1)+n, what is h(2)=

Answers

Answer:

h(2)=0

Step-by-step explanation:

That’s what I got when I got it wrong and I asked for the answer and I promise it’s 0

Answer:

its 0

Step-by-step explanation:

You have two cans of paint, Can A and Can B. Can A contains 80% red paint and 20% blue. Can B contains half blue and half red. How much blue paint should be added to 3 liters of Can A to make it the same as Can B?

Answers

Answer:

0.9 liters.

Step-by-step explanation:

The difference between 20% of 3 and 50% of 3 is 30%. 30% of 3 liters is 0.9 liters so this is what you add to can A.

please help me i need to get this done

Answers

Total ratio 5 + 6 = 11
33 ÷ 11 = 3
Total no. of students wearing Sneakers = 5×3 = 15

Answer:

15 students are wearing sneakers.

Step-by-step explanation:

There are 33 students in total, which will compare to 11 (5+6).

33 ÷ 11 = 3

The scale factor is 3.

Sneakers: 3 x 5 = 15 students

The total cost of flooring a room at Rs .9.50 per square meter is Rs 760, If the length of the room is 10 m, find its breadth.

Answers

Answer:

8 metre

Step-by-step explanation:

cost of flooring per square metre = Rs .9.50

total cost of flooring= Rs760

Area of room= 760/9.50

= 80 m^2

Area of the given room= Lenght × Breadth

length of the room is = 10 m

80= 10 × Breadth

Breadth= 80/10= 8 m

Hence, breadth of the room is 8metre

Consider the quadratic function: f (x) = 5x2 + 20x + 20. What are the zeros of the function using completing the square?

Answers

Step-by-step explanation:

step 1. f(x) = 5x^2 + 20x + 20

step 2. f(x) = 5(x^2 + 4x + 4)

step 3. f(x) = 5(x + 2)^2

step 4. 0 = 5(x + 2)^2

step 5. zeros: -2

If a bag contains 18 red, 6 yellow, 24 blue, and 8 white balloons, what is the part-lo-whole ratio of white balloons to
all balloons?
A)
1:5
B)
1:6
C)
1:7
D)
1:8

Answers

Answer:

1:6

Step-by-step explanation:

1:6

I hope this answer is correct

1:6 hope this helps:)

Tell weather each pair is parallel, perpendicular, or neither: 8x – 2y = 3
x + 4y = -1

Answers

Neither. 8x-2y=3 is y=4x-3/2 and x+4y=-1 is y=1/4x-1/4. To be perpendicular the slopes need to be opposite and reciprocal. the slopes in this question are only reciprocals.

Which transformation would take Figure A to Figure B

Answers

Answer:

6 squares to right and 6 squares down

Step-by-step explanation:

Go with the coordinate (-1, 5) on shape A

Hope it helps :)

Move 6 squares to right and 6 squares down.

The initial coordinate that is the x value is -5 and the transformation figure has x value 5.

So move figure A 6 squares to the right . And then move 6 squares to the down we get the transformation figure B.

Therefore, by moving 6 squares to right and 6 squares to down we get the transformation figure B.

Learn more:https://brainly.com/question/7161333

Twice the complement of an angle is 24 degrees less than its supplement. What is the measure of the angle?

Answers

Answer:

2(90-x)=180-x-24

solve this

180-2x=156-x

solve the rest on your own

Hope it helps!

The measure of the angle will be 24 degree.

What is Complementary angle?

When sum of two angles are 90 degrees then the two angles are called Complementary angles.

Given that;

The expression is,

''Twice the complement of an angle is 24 degrees less than its supplement.''

Now,

Let measure of an angle = x degree

The complement of an angle x = (90 - x) degree

The supplement of an angle x = (180 - x) degree

Then, By the given condition we can formulate;

2 ( 90 - x) = (180 - x) - 24

180 - 2x = 180 - x - 24

180 - 2x = 156 - x

Subtract 180 both sides;

180 - 2x - 180 = 156 - x - 180

- 2x = - x - 24

Take negative sign common,

2x = x + 24

Subtract x both side,

2x - x = 24

x = 24

Thus, The measure of the angle will be 24 degree.

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What is the percentage of sugar in the syrup made of 10kg of water and 5kg of sugar? Thx!

Answers

answer / 50% i think ?.....

Answer:

total=15 kg

so 5/15*100

=33.3

Step-by-step explanation:

Which is a correct classification for the triangle?
O obtuse triangle
O right triangle
O acute triangle
O equiangular triangle

Answers

Answer:

obtuse triangle is the correct classification for the triangle

The correct classification of the triangle should be considered as the obtuse triangle.

What is the obtuse triangle?

In the obtuse triangle here one of the angle should be considered as the obtuse angle.

In the case when the sum of the squares of the two shorter sides of a triangle should be smaller than the square of the longest side so it considered as the obtuse triangle.

Learn more about triangle here: https://brainly.com/question/22176005

please help for brainlist ASAP and explain or no brainlist

Answers

Answer:

Step-by-step explanation:

because as you see the odd number is 1 its A

Answer:it’s 1/3 because it would be 1/2 to get two even number or odd so it’s 1/3

Step-by-step explanation:there’s 3 even numbers on one dice and it’s 1/2 a chance to get even and same for odds so with two dices it’s 1/3 because it’s 1/3 to get both evens and 1/3 to get both odds so it’s 1/3

Nancy was baking a cake for her mom's birthday. She spent
of her time measuring
the ingredients and of her time mixing. If Nancy spend 35 minutes on these two
4.
activities, how many total minutes did she spend baking?

Answers

34 divided by 4 is 8.5 minutes in all 4 activities.

The answer is 4 activities sorry if I am wrong......

I really need help with this

Answers

Answer:

Step-by-step explanation:

I recall seeing this question. If I'm wrong, let me know.

Celia used celery, carrots, and tomatoes in a recipe. Use the clues to find the amount of each ingredient she used. CLUE 1: The amounts were 2/5 cup, 3/4 cup, and 5/8 cup. CLUE 2: There is less celery than tomatoes. CLUE 3: There is less tomatoes than carrots.

Answers

Answer:

Celery = 3/8 cups

Tomatoes = 2/5 cups

Carrot = 5/4 cups

Step-by-step explanation:

CLUE 1: The amounts were 2/5 cup, 3/4 cup, and 5/8 cup

CLUE 2: There is less celery than tomatoes.

CLUE 3: There is less tomatoes than carrots

From clue 2 and 3:

Tomato > Celery ; Carrots > tomatoes

From least to highest :

Celery < Tomatoes < Carrot

Arranging clue 1 in ascending order :

2/5 = 0.4

3/8 = 0.375

5/4 = 1. 25

Hence,

3/8 < 2/5 < 5/4

Celery = 3/8 cups

Tomatoes = 2/5 cups

Carrot = 5/4 cups

a student has a savings account with $475 in in it. She deposits $125 of her paycheck into the account every week. Her goal is to save 7,000 for college. How long will it take her to reach her goal of $7000?

Answers

Answer:

52.2 weeks

Step-by-step explanation:

7000 - 475 = 6,525

6525 ÷ 125 = 52.2

Answer:

It will take her 53 weeks to get her goal of 7,000$

Step-by-step explanation:

I subtracted 475 from 7,000 to see how much she needed to save for. I got 6525. I multiplied 125 times 52 and got 6500. To get to her goal she needs 25 more dollars so, she'll have to work another week to get to that goal.

Please answer the pictures provided

Answers

Answer:

-6-3

Step-by-step explanation:

Please help me to solve this!

Answers

Answer:

7 days im not sure

Step-by-step explanation:

can you trying giving us the answer that comes with the question if they have them

The present age of Arun’s father is three times that of Arun. After 5 years,
what will be their ages?

Answers

Answer:

Arun father age will be 3X+5 and his age will be X+5

What is the value of the expression 52 + 22?

Answers

Answer:

55 + 22 = n

= 77

n = 77

Hope this helps! :D

Step-by-step explanation:

find the area of the shape using Pythagoras Theorem please

Answers

Answer:

122.09 (the answer may change depending on how many decimals you need if you need more or less just follow the steps using however many decimals)

Step-by-step explanation:

to get the other triangle side do 18-11= 7

then use the Pythagoras theorem to solve for the other side so 7^2+b^2=11^2

49+b^2= 121

121-49= b^2

72=b^2

b= 8.48(simplified)

then use that side to get the area of the rectangle:

8.42×11=92.62

then get area of the triangle:

1/2(8.42×7)=29.47

add the 2 areas to get total area:

92.62+29.47=122.09

what’s the answer, help please !

Answers

4(5x - 2) - 2(9 - 3x)

= 26x - 26

Which of these ordered pairs is a solution to the inequality y - 2x < -3? ( (2,4) (-2, 3) (3, 4) (1,-1)

Answers

Answer:

(3, 4)

Step-by-step explanation:

8•3=(n divided by 3)

Answers

Answer:

N= 72

Step-by-step explanation:

8x3= 24

24x3=72

check: 72/3= 24

Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10? (4 points) a 2 b 3 c 4 d 5

Answers

Answer:

B: 3

Step-by-step explanation:

x=3 3times2= 6

6+4 =10

Hope this helps

Bella has a cell phone plan in which she pays for each call minute and text message she sends. The total number of minutes used and text messages sent last month was 561. If call minutes cost 8 cents each and text messages cost 5 cents each and her bill was $34.26. how many minutes did she use?

Answers

Answer:

⇒Let the no. of call minute be = x

⇒& no. of text messages be = y

⇒As total number of minutes used and text messages sent last month was 561

So x + y = 561.................................(1)

⇒Now as call minutes cost 8 cents each and text messages cost 5 cents each and her bill was $34.26

So 8x + 5y = 3426............................(2)

On solving equation 1 & 2 we have

we got x = 354 cent

& y = 207 cent

Answer:

Step-by-step explanation:

x (354,307)

April wrote two equations to represent this system of equations. She wrote: y = 5x +
I and y = 14x - 10. Do you agree or disagree with April?

Answers

Answer:

Disagree

Step-by-step explanation:

The lines are parallel, which means they have different y-intercepts but the same slope.

April's two equations have different slopes (5 and 14), so they do not properly represent two parallel lines.

A large rectangular box has a volume of 15.75 cubic feet. The box is 2.5 feet long and 1.5 feet wide. What is the height of the box?

Answers

Answer:

2.5 x 1.5= 3.75

15.75/3.75=4.2

Answer- 4.2

Step-by-step explanation:

f(-4) = 3x^2-2x pls help i dont know this question

Answers

Step-by-step explanation:

f ( - 4) = 3 ( - 4) ² - 2( - 4)

=. 3 ( 16) + 8

=. 48 + 8 = 56

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

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