An ice chest contains 7 cans of apple​ juice, 6 cans of grape​ juice, 6 cans of orange​ juice, and 4 cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of mango juice.

Answers

Answer 1

Answer:

4/1771

Step-by-step explanation:

Step one:

given

sample space

7 cans of apple​ juice,

6 cans of grape​ juice,

6 cans of orange​ juice, and

4 cans of mango juice

Sample size= (7+6+6+4)

                       = 23

Step two:

Required

The probability of randomly selecting three cans of mango juice in succession

Note: we are selecting without replacement

let the probability of selecting three cans of mango juice be

the first selection is= 4/23

The second = 3/22

the third= 2/21

[tex]P(x)= 4/23*3/22*2/21[/tex]

[tex]P(x)= \frac{4*3*2}{23*22*21} \\\\P(x)= \frac{4}{23*11*7}\\\\P(x)= \frac{4}{1771}[/tex]


Related Questions

38 boys and 22 girls visit the zoo 33 of these children have a voucher twice as many boys as girls do not have a voucher

Answers

Answer:

38*22=60

Voucher

yes: 33

No: 60-33=27

Step-by-step explanation:

Answer:

60  33  27  18  9

Step-by-step explanation:

MethMATH

;-; I like cheese.....

Answers

Yooo, me too! Cheese is life

-2, 1, 4, 7, 10
find next two term​

Answers

The next two term is 13 and 16 respectively.

Step-by-step explanation:

here,

a1 = -2

a2 = 1

a3 = 4

a4 = 7

a5 = 10

So, d = a2 - a1 = 1 - (-2) = 3

= a3 - a2 = 4 - 1 = 3

Here, Common difference is same everywhere and the value of d is 3

Then,

To find 6th term of this sequence

a6 = a5 + d

= 10 + 3

a6 = 13

To find 7th term of this sequence

a7 = a6 + d

= 13 + 3

a7 = 16

Thus, The next two term is 13 and 16 respectively.

-TheUnknownScientist

Answer:

13, 16

Step-by-step explanation:

If the positive number is bigger than the negative, the answer would be positive. For example, let's use -2 and subtract it from positive 4, the answer would be positive 2.

Sorry if I'm wrong. I'm a bit rusty on terms

I need help with this so can someone please help me

Answers

9514 1404 393

Answer:

16x-4x +48x +88x

Step-by-step explanation:

Like terms are ones with the same variable (or set of variables). Here, any x-terms are "like" terms. They are combined by adding their coefficients.

  4x +4x +4x +4x = x(4+4+4+4) = 16x

  -7x +4 +3x = x(-7+3) +4 = -4x +4

  3x +5x +8 = x(3+5) +8 = 8x +8

  4x +4x = x(4+4) = 8x

Solve for b.
r=3(b + a)

Answers

Answer:

[tex]b = \frac{r}{3} - a[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain a variable.

Hope this helps

Please help me with this

Answers

Answer:

hi friend me

Step-by-step explanation:

Answer:

Don't you need an equation to find the equation perpendicular to it? Im confused

Which expression can be used to convert 22 Australian dollars to US dollars?
Assume 1.2 Australian dollars equals 1 US dollar.

Answers

Answer: $26.4 Australian dollars


Y=1.2x

Which equation best represents the
line on the graph?
A y = 3x - 9
B y = -3x + 9
C y = -3x - 3
D y = 5x + 3

Answers

Answer:

answer is b

Step-by-step explanation:

To the man and women who adopted a helpless child when she was brought to them;
To the teachers who never really cared and ignored my problems;To those who never cared, never spoke, probably never knew my name;To the one true friend, whose caring was the only thing that prevented this even from happening sooner; Do not weep for me, or mourn my passing. I say this not because I expect to be missed, but to allow those who truly did not care go on with their lives with a clean conscience and dry eyes. I know you don’t want to weep for me. So don’t. But I do ask you to listen to the final words of a young girl who has taken charge of her own destiny.Perhaps my parents might feel something inside which causes them to shed tears. They may pretend that it’s sorrow for their “loss”, but I hope it is something else. Perhaps sorrow for bringing a child into this world when they really didn’t have the time or desire to raise her. I wasn’t the product of love, born of a desire to prepare another human being to grow and lead the human race. I was merely the next acquisition, the next task, the next project on their list of things that bring significance.No child should be brought into this world for the mere purpose of being just another possession. Why can’t you accept the things that make other people different rather than insisting everyone conforms to your will?Sure, some did offer friendly gestures. Drew Wilson often would greet me and ask about my life. Not that I ever felt comfortable enough to tell her anything; I never trusted her enough to give her the chance. What was the purpose? You left me isolated and alone, and no words I could say can convey to you the suffering you caused. I could name names, but in doing so, I would do more now for you than you ever did for me in life.I do not know if what awaits me when I get down off this rope. Will there be a void? Or will I come face to face with God? I just don’t care anymore. If you’re anything like your people, I wouldn’t want to know you. You preached to love one another, yet I’ve felt everything except love from Christians. Even if I could know you were different, well, I still reject you. You have left your “followers” to treat people like me poorly. You have allowed so many of the people you “love”, including me, to suffer. So you want me to trust you with my life? I don’t want to spend eternity with a careless deity like you, or with the company you keep.As my final moments tick away, I wonder what impact these words will create. It depends first on this web site being found, as I doubt whether school administration will want such venom spoken publicly about their lack of caring. Still, the Internet is a remarkable place where even the least significant individual can be heard. Will anyone listen? Will anyone take action? Will students pause and pay attention to the hur*ing hearts around them? And even if they do, will it be a temporary salve for their egos, to convince themselves they’re really not bad people or will real change happen?My heart certainly goes out to my fellow outsiders. With me gone, some of you will certainly feel more of the pain and h*rt that I did. No one understands you. No one cares how your day is going. No one bothers to get to know you as anything more than a nerd, a geek, a loser. You can do nothing for their social status, save the occasional boost to the ego they get from putting you in your place. Some of you, like Chloe Strum, will find outlets in music. Some, like Matthew Ohlson, will have an escape in Dr*gs. Some, like Hailie Duncan, will live their lives pursuing unicorns that they will never, ever catch. I never had a talent to lose myself in, or a dream or unicorn to chase, and so I have taken the path most dreaded. Some of you may soon join me, and I look forward to welcoming a brother or sister to the land where you will never su*fer the loneliness and rejection that faces you now.Farewell forever. I am going to another place. Where, I do not know. But logic dictates that it can only be an improvement. Perhaps my passing will only prove a footnote in a school yearbook. Then again, perhaps the sacrifice of one might bring hope to others. If my d*ath makes life for one person a little more bearable, or a little more enlightened, do I really d*e in vain?“The needs of the many outweigh the needs of the few, or the one.”

Answers

I want to talk with you

Given the quadrant of theta in standard position and a trigonometric function value of theta , find the exact value for the indicated function. I, cos theta = 0.25; tan theta

Answers

Answer:

[tex]\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\cos(\theta)=\frac{1}{4}[/tex] is given.

My attempt will to be to use the Pythagorean Identity:

[tex]\cos^2(\theta)+\sin^2(\theta)=1[/tex]

[tex](\frac{1}{4})^2+\sin^2(\theta)=1[/tex]

[tex]\frac{1}{16}+\sin^2(\theta)=1[/tex]

Subtract 1/16 on both sides:

[tex]\sin^2(\theta)=\frac{15}{16}[/tex]

We have the following quotient identity:

[tex]\frac{\sin^2(\theta)}{\cos^2(\theta)}=\tan^2(\theta)[/tex]

[tex]\frac{\sin^2(\theta)}{\cos^2(\theta)}=\frac{\frac{15}{16}}{\frac{1}{16}}[/tex]

Multiply the numerator and denominator by 16. This is multiplying the fraction by 1 so this doesn't change the value of the fraction.

[tex]\tan^2(\theta)=\frac{15}{1}[/tex]

[tex]\tan^2(\theta)=15[/tex]

Square root both sides:

[tex]\tan(\theta)=\pm \sqrt{15}[/tex]

Since we are in the first quadrant then all 6 trigonometric functions are positive there so the answer is [tex]\sqrt{15}[/tex].

Can someone help me with this question? I need the statement reasoning! Thank you so much I will mark brainliest!

Answers

triangle ABD and triangle CDB are similar because:
-it is given that angle A and angle C are equal, both 90
-angle ABD and angle CDB are equal because they are alternate interior angles
- side DB and side DB are the same length
- two triangles are equal because of AAS

Answer:

As per HL Postulate the triangles are congruent

Step-by-step explanation:

Given: m∠A = m∠C = 90° and  AD = CB

Prove: ΔABD ≅ ΔCDB

--------------------------

Since angles A and C are right angles, ΔABD and ΔCDB are right triangles

DB is common side, so

DB ≅ BDAD ≅ CB is given∠DAB ≅ ∠ BCD given

As per HL Postulate if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent

easy 20 points please tell me if I got it right and if not please tell me the right answer

Answers

Answer:

No, you are not correct.

It should look like this:

                              Prefer colorful decorations      Prefer neutral decorations

Pay attention                           20                                                  25

to fashion

Do not pay

attention to                              72                                                      33

fashion

Step-by-step explanation:

33 is 22% of 150. In the question it states that 70% of people do not pay attention to fashion. We need to find the other 48% here. In order to do that we multiply .48 by 150. That gets us 72. To check that answer you can add both 72 and 33 and then divide by 150, which gets 70%.

To get the amount of people that prefer neutral decorations and pay attention to fashion we need to add up 20 + 72 + 33 and that equals 125. Next, we take 150 and minus 125 of it to get 25.

Hope this helps!!

- Kay :)

2.
On Fridays at the ballpark, a cup of soda costs $2, and each refill costs $0.50. If x represents the number of refills, which of the
following equations represents the amount a person spends on soda?
OA. y = 0.5x + 2
OB. y = 2x + 2.5
OC. y=2x+0.5
OD.y=0.5x + 2.5
Reset
Submit
1 of 10 Answered
Session Timer: 3:33
Session Score: 100% (1/1)

Answers

Answer:

OA. Y = 0.5x + 2

Step-by-step explanation:

If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, multiply it by 3 and add 1 to the result."

Answers

Answer:

3x+1

Step-by-step explanation:

LaTanya will walk her bike from her house to the bike shop, which is 1.5 mi from her house, to get the bike fixed. She expects to wait 30 min for the repair. Then she will ride her bike home. Can she be home in one hour?

Answers

Answer:

no

Step-by-step explanation:

30+30=60

goods costing 40000 sold at profit 20 percent for cash ​

Answers

Answer:

soooooooooooooooory

Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes?
StartFraction 6 over 4 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 30 over 20 EndFraction
StartFraction 4 over 30 EndFraction = StartFraction 6 over 20 EndFraction

Answers

Answer:

The correct answer is:

Option 2: [tex]\frac{4}{6} = \frac{20}{30}[/tex]

Step-by-step explanation:

Given that

Width of picture = 4 inches

Length of picture = 6 inches

Now

Width of poster = 20 inches

Length of poster = 30 inches

The proportion of the picture will be:

[tex]\frac{width}{length} = \frac{4}{6}[/tex]

Similarly the proportion of poster can be written as:

[tex]\frac{width}{length} = \frac{20}{30}[/tex]

Both proportions when combined can be written as:

[tex]\frac{4}{6} = \frac{20}{30}[/tex]

Hence,

The correct answer is:

Option 2: [tex]\frac{4}{6} = \frac{20}{30}[/tex]

Answer:

B

Step-by-step explanation:

This is becuase 30 and 6 are both the inches in height so their units must line up same goes with 4 and 20 becuase they are the same unit they must line up accordingly in the equation.

Solve the equation. Make sure to explain all of your steps.
1/4 (y + 24) = 32

Answers

Answer:

y = 104

Step-by-step explanation:

1/4y + 1/4(24) = 32

1/4y + 6 = 32

1/4y = 32-6

1/4y = 26

1/4y ×4 = 26 × 4

y = 104

When Lucy was one month old her grandparents put $25
into a safety deposit box. The next month they put $30,
followed by $35 the month after that. They continued
adding money like this, each month adding $5 more than
the previous month. Her grandparents told her they would
continue doing so until her 18th birthday, at which point
she could use the money to attend college.
a) How much was added into the deposit box on
Lucy’s 10th birthday?
b) How much was added for the final deposit on
Lucy’s 18th birthday?

And

Luke’s father has told him that if Luke walks around the
neighborhood for a whole day to pick up trash then he will
pay him for doing so. He will pay Luke $0.20 for the first
piece and increase the pay by 5% for each piece after that.
This way Luke will get paid more for the pieces that are
harder to find. (round answers to the nearest penny)
a) How much money will Luke be paid for his 100th
piece of trash?
b) If Luke picks up 150 pieces total, then what is the
payment he receives for that final piece?

And

Rewrite the series in summation notation and find the total sum.
-2+1+4+7+….+88

Answers

Answer: 95$

Step-by-step explanation:

First you have to add 25 +30 and then you get 55

So 55 dollars was added to Lucy deposit box on her 10th birthday

Now for her 18 birthday

You have to do 55+35and you get 90 then add 90+5 which is 95

So there was 95 dollars added in her deposit box on her 18 birthday

Please help me solve this!!

Answers

Answer: X=−1/4

Step-by-step explanation:

BC=CD what is the property

Answers

Distributive Property AB + AB = 2AB Reflexive Property m>B = m>B Symmetric Property If AB + BC = AC then AC = AB + BC Transitive Property If AB ≅ BC and BC ≅ CD then AB ≅ CD

Diego is 165 cm tall. Andre is 1.7 m tall. Who is taller, Diego or Andre? 1 m = 100 cm.

Answers

Answer:

Diego

Step-by-step explanation:

Diego is because 1m = 100 and Diego is 165 and that is alote bigger from 1.7.

solve x then find each angle measure

Answers

Answer:

(7x-32) + (5x-27) = 9x -8

Exterior angle of a triangle is equal to the sum of two opposite interior

on solving

12x-59 = 9x -8

12x-9x= 59 -8

3x = 51

x = 17

n0w

(7x-32) = 7*17- 32 = 87

(5x-27) = 5*17 - 27 = 58

9x -8 = 9*17 -8 = 145

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle

7x - 32 + 5x - 27 = 9x - 8 add like terms

12x - 59 = 9x - 8

12x - 9x = 59 - 8

3x = 51 divide both sides by 3

x = 17

measure of angle K 7x - 32 ➡ 7 × 17 - 32 = 87°

measure of angle J 5x - 27 ➡ 5 × 17 - 27 = 58°

measure of angle L 9x - 8 ➡ 9 × 17 - 8 = 145°

what divided by 6 = 1.2

Answers

Answer: 2

Step-by-step explanation:

Answer:

y = 7.2

Step-by-step explanation:

y ÷ 6 = 1.2

y ÷ 6 × 6 = 1.2 × 6

y = 7.2

Use the numbered angles in the diagram to answer the question.



Which angles form vertical angles?

Answers

i’m pretty sure it would be angle 3 and angle 5 and then angle 1 and angle 7

how to write this numbers in word 23.6​

Answers

Answer:

twenty-three and six tenths

Step-by-step explanation:

twenty-three and six tenths. or, simpler: twenty-three point six

Click and drag the pink tiles to the correct location on the graph organizer.

Answers

Answer:

-3: Integer

21: Whole #

0.9: Rational

2 1/2: Rational

3.2: Rational

53: Whole #

-11: Integer

8: Whole #

-6: Integer

3/4: Rational

75: Whole #

-36: Integer

Step-by-step explanation:

See above.

If you can please make my answer the brainliest that would be much appreciated. Thanks and Good Luck! :D

2+2(-3)^2


Plz answer :) with steps

Answers

Answer:

-16

Step-by-step explanation:

2 + 2(-3)²

Exponents come first, so we would multiply -3 by itself.

2 + 2(-9)

Next is Multiplication, so we multiply 2 and -9 together

2 - 18

We subtract 18 from 2 to get,

-16

I hope that this helps! :)

[tex]2 + 2( - 3) {}^{2} [/tex]

[tex]2 + 2(9)[/tex]

[tex]2 + 18[/tex]

[tex]20[/tex]

HELP PLZ!!!! I BEG YOU PLZ!!!!! HURRY!!! FACTS!!! I'll GIVE BRAINLYEST!!!! 10 POINTS!!!!

Which transformation were used to create triangle J'K'L?

(There is no picture that comes with it!!!)

A. dilation by a scale factor of 2 and a rotation of 90(degrees) clockwise about the origin.
B. dilation by a scale factor of 1/2 and a reflection across the x-axis
C. dilation by a scale factor of 2 and a rotation of 90(degrees) counter-clockwise about the origin
D. dilation by a scale factor of 1/2 and a reflection across the y-axis

Answers

Answer:

i believe it's a-dilation by a scale factor of 2 and a rotation of 90(degrees) clockwise about the origin.

Step-by-step explanation:

hope this helps u, sorry if it doesn't.

Answer:

probably dilation by a scale factor of 2 and a rotation

of 90° counter-clockwise about the origin

Step-by-step explanation:

Aisle 2 of furniture store stocks 4-legged chairs, 4-legged tables and 3 legged stools. Which expressionS shows the total number of furniture legs in aisle 2.
THERE ARE MULTIPLE ANSWERS.

A. 4t+4c+3s
B. 4t+4c+4s
C. 4(t+c) + 3s
D. 4(t+c+s)
E. T+c+s
F. T+c+3s

Answers

Answer:

It is A maybe

Step-by-step explanation:

I search on Brainly and everyone is saying this is the answer.

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