Salesclerks at a store are giving away candles. There are 12 candles on a tray. Three are white and two are red. The rest are green or blue. When choosing a candle at random from the tray, a customer is as likely as not to select a green candle. What tis the likelihood that the customer will select a blue candle? Tell whether it is impossible, unlikely, equally likely as not or certain. Explain your answer.

Answers

Answer 1

Answer:

one blue candle. 1/12 probability.

Step-by-step explanation:

if they are as likely as not to select a green candle, then there are 6 green ones. so now we have accounted for 11 if I am right, so only one can be blue

Answer 2

It is equally likely as not that the customer will select a blue candle.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

Let the number of green candles on the tray be G, and the number of blue candles be B.

We know that there are 12 candles in total on the tray, so:

G + B = 12 (total number of green and blue candles is 12)

G/(G+B) = 1/2 (as the probability of selecting a green candle is equal to the probability of selecting a non-green candle)

We can use these two equations to solve for G and B:

G + B = 12

G = (12 - B)

Substituting into the second equation:

(12 - B) / (12 - B + B) = 1/2

(12 - B) / 12 = 1/2

12 - B = 6

B = 6

So there are 6 blue candles on the tray.

Since there are 12 candles in total, and 6 of them are blue, the probability of selecting a blue candle at random is:

P(selecting blue) = B / (G + B) = 6 / 12 = 1/2

Therefore,

It is equally likely as not that the customer will select a blue candle.

This means that the probability of selecting a blue candle is 50-50, which is neither impossible nor certain, but rather equally likely as selecting a green candle.

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Related Questions

Find the volume of the composite solid. Round your
answer to the nearest tenth.
8 cm
8 cm
8 cm
14
The volume is about
cubic centimeters.

Answers

Answer:

this image is unclear i cant answewr this

Step-by-step explanation:

A company wants to learn about the number of its employees who visit the dentist for regular checkups. Which type of study will best help the company discover this information?
census
survey sample
observational study
experiment

Answers

Answer:

A. Census

Step-by-step explanation:

You would simply ask ALL of the employees at your workplace as to whether or not they visit the dentist for regular check-ups. Thus, it is a census.

The type of study which will be the best help the company discover this information is survey sample, the correct option is B

What is the sample space for a random experiment?

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the  sample space is {'head', 'tail'}. We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

We are given that;

The number of its employees who go to the dentist.

Now,

A census involves collecting data from every individual in a population, which can be time-consuming, expensive, and may not be feasible for a large company with a large number of employees.

An observational study involves observing individuals and collecting data without intervening or manipulating any variables. This type of study may not provide information about the number of employees who visit the dentist for regular checkups since it does not involve asking individuals directly about their behavior.

An experiment involves manipulating one or more variables to observe the effect on another variable. This type of study may not be appropriate for studying employee behavior related to dentist visits since it may not be ethical or practical to manipulate employees' behavior in this way.

A survey sample, on the other hand, involves selecting a subset of employees and asking them directly about their behavior related to dentist visits. This can be an effective and efficient way to gather information about the number of employees who visit the dentist for regular checkups.

Therefore, by sample space the answer will be survey sample.

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What is the volume of the prism?

Answers

Answer:

volume of hexagonal prism = area of base * perpendicular height

Step-by-step explanation:

Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500? The concert hall offers a special price of $12 per ticket. How many more tickets can be purchased with the $500 if the cost is $12 per ticket?

Answers

Answer:35

Step-by-step explanation:

I did this and got it correct

Answer:

Here you are! Hope this helps

Select all expressions that are equivalent to 8(5t + 7v).

A. 2(20t + 28V)
B.4(95 + 11v)
C.40t + 7v
D.40t + 56v

Answers

I think it’s D, because you multiply 8 and 5t which is 40t and then you multiply 8 and 7v which is 56v and then the final answer would be 40t+56v

The expression 8(5t+7v) is equivalent to the expression 2(20t+28V) and 40t + 56v option (A) and option (D) is correct.

What is distributive property?

The distributive property is the property that expresses the distributive law of algebraic multiplication. similarly, in polynomial expression we can use the distributive property for example we can write a(c+b) in the form of (ac+bc).

We have an expression:

= 8(5t+7v)

After using the distributive property, we get:

= 8×5t+8×7v

= 40t + 56v

Applying distributive property in the expression 2(20t+28v), we get:

= 2×20t+2×28v

= 40t+56v

The above expression is equivalent to the given expression.

Again applying distributive property in the expression 4(95+11v), we get:

= 4×95+4×11v

= 380+44v

The above expression is not equivalent to the given expression.

The expression 40t+7v is not equivalent to the given expression.

The expression 40t+56v is equivalent to the given expression.

Thus, the expression 8(5t+7v) is equivalent to the expression 2(20t+28V) and 40t + 56v option (A) and option (D) is correct.

Learn more about the distributive property here:

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a rectangular picture with a perimeter of 27 cm is glued in the center of a rectangular piece of cardboard. there is a 1 cm margin (of empty cardboard) all around the picture. what is the perimeter of the peice of cardboard

Answers

Answer:

31 cm

Step-by-step explanation:

A rectangle has 4 sides.

27 cm + 4 cm = 31 cm.

The perimeter is 31 cm.

If you are confused, to find perimeter you add all the sides up. That is why I added 1 + 1 + 1 + 1 / 4.

For inches or a different measure I recommend just converting it. You never mentioned the measure so I decided with cm.

Answer:

35

Step-by-step explanation:

just because i saw a guy who commented on first answer

Calculate the length of the altitude (h) of the rhombus

Answers

Answer:

h = 15

Step-by-step explanation:

Use Pythagorean Theorem to solve for h.

a² + b² = c²

8² + h² = 17²

64 + h² = 289

h² = 225

h = 15

24x^6y^2
—————-
3x^2y^3
Which expression is equivalent to
?

A. 6 x^4
B. 21x^4
———
y

C. 8x^4
——-
y

D. 8 x^4 y

Answers

Answer:

h

Step-by-step explanation:

Use the box method to distribute and simplify (6x+3)(2x-5)

Answers

Answer:i think 6x+3 is 9x and 2x-5 is 3x

Step-by-step explanation:

Someone help and please make sure it’s right

Answers

Answer:

x=10

Step-by-step explanation:

18x=180

x=10

if my answer helps please mark as brainliest.

Please answer I’ll make brainliest. I have other questions too that I’ll be posting shortly

Answers

Answer:

13.3 (rounded in the tenth place)

Step-by-step explanation:

equation: a^2 + b^2 = c^2

What we know :

a = 20^2 = 400

b = what we are looking for

c = 24^2 = 576

Our equation will be looking like :

20^2 + b^2 = 24^2

400 + b^2 = 576

Now we  subtract 400 into 576

which equals 176 now we square root it

and get 13.2664 but we gotta square root it and that will lead you to have 13.3 as your answer

Answer:

31.24

Step-by-step explanation:

a^2+b^2=c^2

20^2=400

24^2=576

576+400=976

√976=31.24

PLEASE HELP ME I NEED HELP RIGHT AWAY!!!

A box contains fiction and nonfiction books. There are 22 fiction books in the box, which is 55% of the total number of books in the box. What is the total number of books in the box?

thank you for helping

Answers

Answer:

There are 40 books total

Step-by-step explanation:

you need to set a proportion

The first fraction is 55/100 it's over 100 because it's percent

the other fraction is 22/x the 22 is out of a total number so that's why it's on top and x because you don't know the total number of books

then you multiply diagonally

55×x= 22×100

55x=2,200

Then you solve it like a regular equation by dividing both sides by 55

x=40

Answer:

There are a total of 40 books in the box.

All equilateral triangles are -------- triangles. acute scalene obtuse or right?

Answers

Answer:

All equilateral triangles are acute angle triangles.

Help meeeeeeeewee plsssssss

Answers

Answer:

D

Step-by-step explanation:

multiplying the day with 54 gives you its amount earned

What’s the area for
6 ft
3 ft
4 ft
5ft

Answers

Answer:

360ft

Step-by-step explanation:

Help please!!
Is this relation a function? justify your answer.

A. No, because two points with the same y-value have different x-values.

B. Yes, because the number of x-values is the same as the number of y-values.

C. Yes, because every x- and y-values is positive.

D. No, because two points with the same x- value have different y-values.​

Answers

D. No because two points with the same x value have different y values. A function cannot have one x equal different y

x = (y/2) - 1
Please help me find the answer.

Answers

Answer:

Step-by-step explanation:

Well you didn't give directions on what to solve for,

I'm gonna assume you want to solve for y

x = (y/2) - 1 (add 1 to both sides)

x + 1 = y/2 (multiply both sides by 2)

2(x + 1) = y (distribute the 2)

y = 2x + 2

HELPPPP IM TIMED!!!!

Find the Area of the Triangle:
A
[Hint: The Area of the Triangle is
zbh,
2x
6x+2

Answers

Answer:

This is your answer

Answer:

[tex]6x^2 + 2x[/tex]

Step-by-step explanation:

2x * (6x+2) = 12x^2 + 4x = 2 * area

area = 6x^2 + 2x

Find the value of x.

Answers

Answer:

Hope that answers your question, good luck in the future

Use this diagram and information given to find m_DFC.
B
C с
А
F
KE
D
Given: m_AFB = m_EFD = 35°
Points B,F,D and points E, F, C are collinear.
The measure of ZDFC is 9

Answers

C c because that’s what I got

PLS HELPPPP

April, x, slept 9 hours; Evelyn slept 2/3
less than that.
Evelyn slept _______________ hours. Write the equation as both a decimal and fraction.

Answers

live to be 80 years old and sleep 8 hours a day, How many years have I slept

Solution

A day has 24 hours

24 = 8 + 8 + 8

So you spent 1/3 of your time sleeping.

You can get the same answer if you do 8/24

8/24 = (8 ÷ 8) / ( 24 ÷ 8) = 1/3

All you need to do now is to find 1/3 of 80

1/3 of 80 = 1/3 × 80 = 80/3

80 / 3 = (78 + 2) / 3 = 78 / 3 + 2 / 3 = 26 + 2/3

So that is 26 years + ( 2/3 of a year)

What is 2 / 3 of a year?

Since 2 /3 of a year is a fraction of a year, the answer for 2 / 3 of a year will be in months.

1 year = 12 months.

Just find out what 2/3 of 12 is

2/3 of 12 is 2/3 times 12

2/3 times 12 = (2 times 12) / 3 = 24 / 3 = 8 months

Putting everything together, you slept for 26 years and 8 months during your lifetime.

Hope it helped!

13 is what percent of 20?
A. 13%
B. 26%
C. 52%
D. 65%

Answers

Answer:

D. 65%

Step-by-step explanation:

x%/100% = 13/20

D is the answer yes no problem

Which relationships describe angles 1 and 2?

Select each correct answer.


complementary angles

vertical angles

adjacent angles

supplementary angles

the image is attached

Answers

Supplementary angles.
Supplementary angles are two angles that add up to 180 degrees.

Is this correct? Not sure.

Answers

Answer:

(from top)

in the first box, type $9

in the second box, type 4

in the third box, type $45

in the last box, type $112.50

Step-by-step explanation:

divide 22.50 by 2.5 = 9

so in the first box, type 9

36 divided by 9 = 4

5 * 9 = 45

12.5 * 9 = 112.5

Answer:

She makes $9 per hour. 9*2.5=22.50.

4 hours=$36

5hrs=$45

12.5 hours=112.50 dollars

Step-by-step explanation:

Help me lol please and thank you

Answers

well the opposite of addition is subtraction
to find n move 27 to the other side which makes it negative
15+ (-27) =-12

Find f(2) if f(x)=2x+1
hey besties

Answers

Answer:  5

Step-by-step explanation:

f(x)=2x+1

f(2)=2(2)+1    Subtitube 2 for x

f(2)=4+1

f(2)=5

321,000,000 in scientific notation

Answers

Answer:

3.21 x 10^8

Step-by-step explanation:

Answer:

3.21 × 10^8

Step-by-step explanation:

I hope it helps ❤

|x+3|, if x is > 5.

Answers

your answer is 5+3=8

The value of expression for x > 5 is,

⇒ x + 3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Expression is,

⇒ |x + 3|

if x > 5

Now, For  x > 5;

Expression is,

⇒ x + 3

At x = 5;

⇒ 5 + 3

⇒ 8

Thus, The value of expression for x > 5 is,

⇒ x + 3

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Jessica paid $23,000 for her car. The value of the car depreciates at a rate of 15% each year. Which function represents the value of her car each year?

Answers

Answer:

Try searcing it up

Step-by-step explanation:

chances are its already been answered

please HELPPPP ILL MAKE BRAINLIEST

Answers

Answer:

36 feet

Step-by-step explanation:

3ft is 1 yard so you would multiply the 12 yards by 3 making 36.

Answer:

36 feet

Step-by-step explanation:

if 3 feet is equal to 1 yard which means by multiplying 12 by 3 (12x3) you would get 36 feet as your answer

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