Mathematics High School

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

PLEASEEE PLEASE HELPPP!!

Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure

Answers

Answer:  3. Distributive

Step-by-step explanation:

 

3(x -2y) = 3x - 6y   To get from  left to rigth, you have to multiply them which is the same as distribitue.

3(x) - 3(2y) = 3x - 6y

how do i find the value of x in -5 = .5x

Answers

Answer:

[tex] - 5 = 0.5x \\ \frac{ - 5}{0.5} = x \\ - 10 = x[/tex]

Step-by-step explanation:

this is the step

Check your answers by clicking all of the items
you included in your explanation.
A.A large portion of an organism's mass is in
the form of water.
B.Water contains two hydrogen atoms and one
oxygen atom.
C.The mass of oxygen is sixteen times that of
hydrogen.

Answers

Answer:

A and C

Step-by-step explanation:

how do you do multiplication in 7th grade mathimatics

Answers

Answer:

Learn your timetables daily.

Step-by-step explanation:

You can find songs online to help you memorize and understand them in the simplest form.

Answer:

you should practice your timetables and do some math practice so you could understand other math like division.

Step-by-step explanation:

Determine triangle type

Answers

Answer:

isosceles acute

Step-by-step explanation:

two same sides so it is isosceles and all angles under 90 so acute

Answer:

isosceles acute

Find the perimeter and area of a circle with diameter 14 m​

Answers

Answer:

perimeter = 43.96 m

area = 153,86 m2

Step-by-step explanation:

d = 14 m

r = 7 m

perimeter = 2πR = 43.96 m

area = π[tex]R^{2}[/tex] = 153,86 m2

Find radius (half diameter) then area is Pi x r squared which is Pi x49 for area and permitter is 2 x Pi x r which in this case is pi x 14

Use the graph below to fill in the blank with the correct number:
f(-2) =
(3 points)
5 4 $
.
2
-5 4 3 2 1
2 3 4 5
-2
.
-3
5
Blank 1:

Answers

Answer:

f(-2) = 2

f(-3) = 0

f(1) = -2

f(0) = 1

You work in a restaurant. Your hourly wage is $5.25. One evening you work from 5:30 to 9:30 and make $34.20 altogether. How much do you make in tips that evening?
Your answer

Answers

9514 1404 393

Answer:

  $13.20

Step-by-step explanation:

Working h hours and earning t in tips, your earnings (e) are ...

  e = 5.25h +t

Solving for t, we get ...

  t = e - 5.25h

Filling in the given values, we have ...

  t = 34.20 -5.25(4) = 34.20 -21.00 = 13.20

You made $13.20 in tips that evening.

Oy I hate this subject I swear just a few more but still giving out brainliest and points!

Answers

Answer:

C

Step-by-step explanation:

your y values which produce the range differ between 2 and 10 which means that will be your range. All of the values are real.

6) In 3 seconds you can fill up a pool with 42 gallons of water. If this is a proportional
relationship fill in the table below.
Time (sec) 1/2/3/4/5
Amount of /. /42/. /. /
Water (gal)

Answers

Answer:

1/2/3/4/5

14/28/42/56/70

Step-by-step explanation:

divide the 42 gallons by 3 (since 3 seconds for 42 gallons) to find the rate of change. the answer is 14. then just do the number times 14 all the way. and yes this is proportional

this is the formula which I am asking you all​

Answers

Answer:

That is literally still the same formula for mean.

Step-by-step explanation:

PLS HELP IM FAILING MY MATH CLASS

Answers

B

Look at the pattern, they all go up by 0.5
For example, 0.5+0.5=1.0, and so fourth

Have a great day!

The table shows the height of water in a pool as it is being filled. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? Height of Water in a Pool Time (min) 2 4 6 8 10 Height (in.) 8. R12 16 20 24 O The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. O The height of the water will be 2 inches when the pool is filled.​

Answers

Answer:

Step-by-step explanation:

Answer:

A) The height of the water increases 2 inches per minute.

Step-by-step explanation:

Slope is the rate of change of height

m = (16 - 12)/(4 - 2) = 4/2 = 2

2 inch per min

Positive slope implies increase

What is the y-intercept for -1,3 1,-2

Answers

I’m pretty sure it’s 1

Pretty please help me:)

Answers

Answer:

Step-by-step explanation:

a. Yes is proportional with the cost because they depend on one another

b. (0,0) means if we buy 0 cookies we pay $0

c. (1, 0.50) means that if we buy 1 cookie we have to pay $0.50

d. the unit rate is how much we pay for one cookie so is $0.50 per 1 cookie

What is HB? Triangle Mid-segment Theorem

Answers

Answer:

HB = 13

Step-by-step explanation:

In triangle GHJ, points A, B, C are mid points of the sides GH, HJ, GJ respectively.

Therefore by Mid-segment Theorem.

[tex]AC = \frac{1}{2} HJ \\ \\ 3y - 5 = \frac{1}{2} (4y + 2) \\ \\ 3y - 5 = \frac{1}{2} \times 2 (2y + 1) \\ \\ 3y - 5 = 2y + 1\\ \\ 3y - 2y = 5 + 1 \\ \\ y = 6 \\ \\ HJ = 4y + 2 \\ \\ HJ = 4 \times 6 + 2 \\ \\ HJ = 24 + 2 \\ \\ HJ = 26 \\ \\ HB= \frac{1}{2} HJ \\ \\ HB= \frac{1}{2} \times 26 \\ \\ \huge \red{ \boxed{ HB= 13}}[/tex]

What is the slope of this line?

Answers

Answer:

The slope is -1

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

nice phone case

PLEASE HELP IM GIVING BRAINLIEST!

Answers

Answer:

-1/7

Step-by-step explanation:

Mark me as brainliest

Answer:

m = 1/7

Step-by-step explanation:

(0 - 1)/(-7 - 0)

-1/-7 = 1/7

A student factors a^6 - 64 to (a^2-4)(a^4 + 4a^2+ 16).
Which statement about (a^2 - 4)(a^4 + 4a^2 + 16) is correct?

Answers

Answer:

Option (b) is correct.

The expression is equivalent, but the term is not completely factored.

Step-by-step explanation:

edge 2020

Which of the following functions represents the graph on
the left? (Hint: Plug in your x values from the previous
slide. Do they produce f(x)=0?)
O f(x) = (x-6)(x+2)
O f(x) = (x+6) (x - 2)

Answers

9514 1404 393

Answer:

  f(x) = (x -6)(x +2)

Step-by-step explanation:

The graph shows the x-intercepts are -2 and +6. The factors will be binomials such that these values make the factors zero: (x +2) and (x -6).

  f(x) = (x -6)(x +2)

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

Answer:

16=x

Step-by-step explanation:

the two sides are equal, soo i set them equal to each other and add 18 to 16 then divide each side by two and get 16 = x

In which quadrant is the point (–3, 5) located? quadrant I quadrant II quadrant III quadrant IV

Answers

Answer:

B

Step-by-step explanation:

just ended the test

Answer: (-3, 5) : Quadrant 2

1
What is the equation of the line parallel to 8x - 16y= -14 and passing through (3, 0)?

Answers

Answer:

8x -16y = 24

Step-by-step explanation:

8x - 16y= -14

A parallel line (i.e. same slope) will be: 8x - 16y= c

We have to find the value of "c".

If it passes through (x, y) = (3, 0) ⇒ 24 - 0 =  c,

so equation is 8x -16y = 24

The length of rectangle A is 7.4 cm and the width is 4.8 cm. The perimeter of rectangle B is 14.9 cm. How much is the perimeter of rectangle A than the perimeter of rectangle B?

Answers

Answer: 9.5 cm

Step-by-step explanation:

First we have to find the perimeter of rectangle A:

Formula for perimeter of a rectangle or square is: [tex]2(a+b)[/tex]

Putting the length and width in: [tex]2(7.4+4.8)[/tex]

Solve it to get: 24.4 cm

Subtract 14.9 from 24.4 to get 9.5 cm

101 = -4 + 5(x + 2)

please help

Answers

Answer:x=19

Step-by-step explanation:

101 = -4 + 5(x + 2)

101= -4 +5x+10

91=-4+5x

95=5x

x=19

19

Step-by-step explanation:

Distribute 5

101=-4+5x+10

Combine like terms

101=5x+6

Get x alone on one side by subtracting 6

95=5x

Simplify

19=x

Amanda is hiking with her daughter, Mia who is only 1 yaar old and has very short leg. For every 3 steps Amanda makes, Mia takes 5 steps just to keep up.

Need help fast trying to take a test plsss help

Answers

Amanda table values: 3, 6, 15, 30
Mia Table values: 5, 10, 25, 50

What is the image of (−3,9) after a reflection over the line y = x?

Answers

Answer:(9,-3)

Step-by-step explanation:

You just have to flip the numbers

What is the 38th term of 459,450,441,..

Answers

Answer:

The 38th term of 459,450,441,.. will be:

[tex]a_{13}=351[/tex]

Step-by-step explanation:

Given the sequence

[tex]459,450,441,..[/tex]

An arithmetic sequence has a constant difference 'd' and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

[tex]450-459=-9,\:\quad \:441-450=-9[/tex]

so

[tex]d=-9[/tex]

The first element of the sequence is

[tex]a_1=459[/tex]

so the nth term will be

[tex]a_n=-9\left(n-1\right)+459[/tex]

[tex]a_n=-9n+468[/tex]

Putting n=38 to find the 38th term

[tex]a_n=-9n+468[/tex]

[tex]a_{13}=-9\left(13\right)+468[/tex]

[tex]a_{13}=-117+468[/tex]

[tex]a_{13}=351[/tex]

Therefore, the 38th term of 459,450,441,.. will be:

[tex]a_{13}=351[/tex]

This is my last problem is the answer right or wrong

Answers

I need help on that one to‍♀️

Can you solve 3.5 x 4.9 using area models?

Answers

Answer:

 the answer is  17.15

Step-by-step explanation:

Answer:

17.15

Step-by-step explanation:

3.5 x 4.9 = 17.15

-TheUnknownScientist

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