A toy store purchases small rubber balls that come in different colors in bulk from a wholesaler. The manager randomly filled the vending machine in the store with some of these balls. The machine has 30 yellow balls, 45 blue balls, and 75 pink balls. Suppose the store purchases a shipment of 2,000 rubber balls. How many balls of each color should be expected in the shipment?

Answers

Answer 1

Answer:

400 yellow 600 blue 1000 pink

Step-by-step explanation:

30 yellow balls, 45 blue balls, and 75 pink balls

initial sample = ratio of 2:3:5

Shipment 2000 = 2:3:5 = 400 yellow 600 blue 1000 pink

2+3 + 5 = 10            1) We add up the ratio

2000/10 = 200       2)We apply the ratio total to shipment total

                                   and divide.

2 x 200 = 400        3)We multiply by 200

3 x 200 =600

5 x 200 = 1000

Simple as that.

Answer 2

Answer:

The collection of balls in the vending machine is a random sample of 150 balls. The percentage of balls of each color in the vending machine can be used as a model for the company’s shipment purchases:

P(yellow) =30/150 = 20%

P(blue) =  45/150= 30%

P(pink) =75/150 = 50%

If the store purchases 2,000 rubber balls, then about 2,000(0.2) = 400 should be yellow, 2,000(0.3) = 600 should be blue, and 2,000(0.50) = 1,000 should be pink.

PLATO ANSWER


Related Questions

Which of the following are perfect powers?
W
24
27
081
99
100

Answers

Answer:

81 and 100

Step-by-step explanation:

9 x 9 = 81

and...

10 x 10 = 100!

The others doesn't match the rules stated-

3 x 8 = 24, 2 x 12 = 24, 4 x 6 = 24, but no number that are the same multiply together to equal 24(that's also an integer)

All the others are the same way-

Hope this helps!

Answer: 27, 81, 100

Those are the answers.

help me pls when was the game adopt me made

Answers

On April 11, 2020, Adopt Me! reached 1,615,085 concurrent Roblox players, making it the first and only game as of now to cross the 1 million concurrent players mark.

Answer:

On April 11, 2020

Step-by-step explanation:

I think sorry if i'm wrong

Megan has A quarters and B dimes with a total value of $1.95, where A and B are both counting numbers. How many different values of A can Megan have?

Answers

Answer: The number of quarters can be 1, 3, 5 or 7

Step-by-step explanation:

Megan has A quarters and B dimes.

The value of a quarter is $0.25 and the value of a dime is $0.10

Then we have that:

A*$0.25 + B*$0.10 = $1.95

We want to know the different possible values of A.

Now, it is usefull to see the different multilpes of 0.25 (this is the odd multyples of 0.25) we only care for the ones that have a 5 in the undredth place, becauses we only can ad multiple of $0.10, so the 5 in the undredth place needs to come from this

Then the possible values of A are the odd numbers such that A*0.25 is smaller than 1.95, let's do the math:

0.25*1 = 0.25 (here 1.95 - 0.25 = 1.70, then B = 1.70/0.10 = 17) the pair is B = 17 and A = 1

0.25*3 = 0.75 (here 1.95 - 75 = 1.20, then B = 1.20/0.10 = 12) the pair is B = 12 and A = 3.

0.25*5 = 1.25 (here 1.95 - 1.25 = 0.70, then B = 0.70/0.10 = 7) the pair is B = 7 and A = 5

0.25*7 = 1.75 (here 1.95 - 1.75 = 0.20, then b = 0.20/0.10 = 2) The pair is B = 2 and A = 7

help plzzzzz its hard

Answers

Answer:

Hehe Hopefully I'm the first one to help you

Step-by-step explanation:

Answer: I don't know....I'm here for emotional help cuz I'm also struggling in geo rn TwT. I relate to you so yea... Ily and I need more points to ask more questions about geo haha. Supporting you tho

Answer:

The surface area is 259.94 and the volume is 149.81

Step-by-step explanation:

Evaluate the variable expression for x = 5, and enter your answer in the box
below.
6.(x- 9) - 5

Answers

The value of the variable expression 6.(x- 9) - 5 when x = 5 is -29.

To evaluate the variable expression for x = 5, we simply substitute 5 for x in the expression.

6.(x- 9) - 5 = 6.(5- 9) - 5

= 6.(-4) - 5

= -24 - 5

= -29

Therefore, the value of the variable expression 6.(x- 9) - 5 when x = 5 is -29.

For such more question on expression

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What is the area of a circle with a radius of 21 cm?

Answers

The area is 1,385,442


Hope that helps

Answer:

441[tex]\pi[/tex]

Step-by-step explanation:


Round to the underlined place.

Answers

Answer:

158

Step-by-step explanation:

a. The windows and door will not be painted. Calculate the area of the wall that will be painted

b. If a quart of Extra- thick exterior paint covers 30 Square feet, how many quarts must be purchased for the painting job? (SHOW WORK THANK YOU) (PICTURE IS ABOVE)

Answers

Given:

A rectangular wall with 2 windows and a 1 door.

To find:

The area of the wall and the amount of paint required to cover the wall.

Solution:

The area of the wall can be determined by subtracting the areas covered by the windows and the door from the area of the entire wall.

The entire wall has a length of 12 feet and a width of 8 feet.

The area of a rectangle [tex]=(l)(w).[/tex]

The area of a square [tex]= a^{2} .[/tex]

The entire wall's area [tex]= (12)(8)= 96[/tex] square feet.

The door has a length of 3 feet and a width of 6 feet.

The area of the door [tex]=(3)(6)=18[/tex] square feet.

The windows are in the shape of a square.

The side length of the windows is 2 feet.

The area of a window [tex]= 2^{2} =4[/tex] square feet.

The area of 2 windows [tex]= 2(4) = 8[/tex] square feet.

The area of the wall [tex]=96-18-8=70[/tex] square feet.

If a quart of extra-thick exterior paint covers 30 square feet, then 70 square feet will need;

The paint needed to cover 70 square feet [tex]= \frac{70}{30} = 2.333[/tex] quarts.

So the area of the wall was 70 square feet and 2.333 quarts of extra-thick exterior paint is required to cover the wall.

Jaden collected 9 of the 12 hidden treasures in his video game. Write as a decimal.

Answers

Answer:

0.75

Step-by-step explanation:

9/12 equals 3/4 which is 0.75

Answer:

0.75

Step-by-step explanation:

First, you would need to convert it to a fraction for it says "of the", which is one of the key words to a fraction.

In fraction form it would look like this:

9/12

Now, if you remember, fractions are actually division; meaning this problem is also 9 divided by 12. So let's do that!

9 divided by 12 = 0.75.

You can also simplify the fraction; 9/12 is the same as 3/4, and you should know that 3/4 is the same as 0.75

What percent of 125 is 25?

Answers

Answer:

20%

Step-by-step explanation:

Step-by-step explanation:

When you check in percentage calculator the answer is 6.25

What type of number is 0.25 over -0.25 whole number, intiger rational, irrational

Answers

[tex]\frac{0.25}{-0.25}[/tex] simplified will give us -1.

It's not a whole number, because it's negative. It isn't irrational because there is a determined answer. While it is rational, it more fits into integer - which is a less broad scope than rational.

Find 1% of 100.
Find 5% of 100.
Find 12% of 100.

Answers

1% of 100 is 1.  

5% of 100 is 5.

12% of 100 is 12.

If you're going to ask an easy question, then please give me a thanks at least

1% = 1 5%=5 12%=12 it’s honestly easy

Imagine that you are eating at a restaurant with your friends. You and your best friend, Arabella, are seated at opposite ends of a large table, and
Arabella orders first. The probability that both you and Arabella end up ordering vegetable soup is in simpler terms, if the probability that you
order vegetable soup is P(A), and the probability that Arabella orders vegetable soup is PB), then is the probability of A and 8, or P(A and B).
The probability that you order vegetable soup given that you know that Arabella has ordered its P(
A B) = What is the probability that
Arabella orders vegetable soup?

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

P(A | B) = P(A and B)/P(B)

1/3 = (1/3)/P(B)

P(B)=3/4

Step-by-step explanation:

EDMENTUM

What is the sum of ​ 7/18 + 14 1/9 ​ ?

Answers

Answer:

14 9/18 (or

Step-by-step explanation:

The sum of 7/18 + 14 1/9 are

7/18 + 14 1/9

7/18 + 14 2/18 <= Make the fraction the same denominator

14 9/18 <= Simplify the Fraction

14 1/2

Hope this helps! Make sure to give me the brainliest answer, if you like my answer. It will be greatly appreciated!

Answer:

14 1/2

Step-by-step explanation:

What is not always true about 2 regular pentagons

Answers

Answer:

b

Step-by-step explanation:

The two regular pentagons could be differnt sizes, so they are not all congruent hope this helps :)

The answer is b!! I hope I helped

-12 = 4 is equivalent to?

Answers

Answer:

no

Step-by-step explanation:

if you multiply 4 by -3 you get -12 tho

A line parallel to $3x-7y = 65$ passes through the point $(7,4)$ and $(0,K)$. What is the value of K?

Answers

Answer:

1

Step-by-step explanation:

Hi, its you again lol.

I am in elementary btw.

I don't want to put the equation down.

Answer:

1

Step-by-step explanation:

AoPs Algebra ~ Graphing Multiple Lines Question

Show that 9^n can't end with 2 for any integer n.
Please tell me fast!

Answers

Answer:

i have no idea ask one of your dorm roomates.

Step-by-step explanation:

115.9 rounded to the nearest hundred

Answers

Answer:

100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

115.9 is closer to 100 then it is to 200, so round down to 100

TV
A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by
the equation h = -6t2 + 6t where h is the frog's height at any given time, t. How many
seconds until the frog is back on the ground?
2 seconds
1.5 seconds
3 seconds
1 second
0.5 seconds

Answers

Answer:

Step-by-step explanation:

Model of the frog jump is

h = -6t² + 6t

When will the frog be on the ground? The frog will be on the ground at h=0

Therefore,

0 = -6t² + 6t

Divide through by 6

0 = -t² + t

0 = t(-t + 1)

So, t = 0 OR. 0 = -t + 1

So, t = 0. OR. t = 1

So, we should note that, at t = 0, was when he wanted to lift of from the ground... So, t = 0 will be discarded

So, at t = 1 is when the frog is back to the ground.

It is like it starts from the ground at the 0 seconds and get backs to the ground at 1 seconds

I hope this helps!!!

Two of the sides of a right triangle are 8 and 6 units long. How long is the third side? Find all possible answers.

Answers

Answer:

10 units.

2√7 units.

- (or 5.29 units to the nearest hundredth)

Step-by-step explanation:

If the 2 sides are legs of the triangle ( that is they are at 90 degrees to each other) the third side, by Pythagoras  theorem:

=  √(6^2 + 8^2)

=  √100

= 10 units.

The other possibility is that 8 is the length of the hypotenuse, in which case

The third side

=  √(8^2 - 6^2)

=  √28

= 2√7 units.

Please help!!! I NEED HELP!
A triangular pyramid has a triangular base with a height of 4 inches and a base length of 7 inches. The height of the pyramid is 6 inches. What is the volume of the pyramid in cubic inches?
(Recall the formula V = one-third B h.)
A. 14
B. 56
C. 28
D. 42

Answers

Answer:

the answer is 28

Step-by-step explanation:

i guessed ngl

Answer:

Bb 2ent option 28

Step-by-step explanation:

Which expression shows a sum of four terms?

a. 4 + x + 4 + x
b. x4
c. 4(x + 4)
d. 4x

Answers

Answer:

a

Step-by-step explanation:

Answer:

I think c MAYBE dont quote me on it tho

David has available 2800 yards of fencing and wishes to enclose a rectangular area. Express the area A of the rectangle as a function of the width W of the rectangle.

Answers

Answer:

The area of the rectangular area is (1400w-w²) square yards.

Step-by-step explanation:

Given that,

David has available 2800 yards of fencing. He wants to enclose a rectangular area.

Assume that, the length and width of the rectangular be l and w  respectively.

The perimeter of the rectangular area is

=2(length+ width)

=2(l+w)

So,

2(l+w)= 2800

[tex]\Rightarrow l+w= \frac{2800}{2}[/tex]

[tex]\Rightarrow l+w= 1400[/tex]

[tex]\therefore l= 1400-w[/tex]

The area of the rectangular area is = length× width

                                                            =l×w

                                                           =(1400-w) w

                                                           =(1400w-w²) square yards.

Final answer:

The area A of the rectangle can be expressed as a function of the width W by using the equation 2L + 2W = 2800, where L represents the length of the rectangle. The formula for the area of a rectangle is A = L * W, substituting the value of L in terms of W, we get A = ((2800 - 2W)/2) * W.

Explanation:

To express the area A of the rectangle as a function of the width W, we need to understand that a rectangle has two equal lengths and two equal widths. Let's assume the length of the rectangle is L. Since the perimeter of the rectangle is 2800 yards, we can write the equation: 2L + 2W = 2800.

Now, we can express L in terms of W: L = (2800 - 2W)/2. The area of the rectangle is given by the formula A = L * W. Substituting the value of L, we get A = ((2800 - 2W)/2) * W.

This is the function that expresses the area A as a function of the width W.

Joel biked 9 miles east and then 12 miles north. If he

biked back to his starting point using the most direct

route, how many miles would he ride all together?

Answers

Answer:

36 miles

Step-by-step explanation:

His entire journey, represented with a diagram, is in the shape of a right angle triangle.

We need to first find the hypotenuse of the triangle, then, add all the sides together:

hyp² = opp² + adj²

hyp² = 9² + 12²

hyp² = 81 + 144 = 225

Find the square root of both sides:

hyp = 15 miles

Therefore, adding the three sides together:

Total distance traveled = 9 + 12 + 15

Total distance traveled = 36 miles

He would ride 36 miles altogether.

Answer:

36

Step-by-step explanation:

A square box is 9 cm tall if you fill it 1/3 with water how much water did you use?

Answers

Answer:

3 cm

Step-by-step explanation:

Because 9 divided in 3 is 3 and if you used 1/3 it’s 3cm

Punkt p (1;2k+1) należy do wykresu funkcji f(x)=-4x2+7. Oblicz k

Answers

Answer:

k = 1

Step-by-step explanation:

English Translation

Find k if the point P (-1, 2k + 1) belongs to the graph of the function f (x) = - 4x^2 + 7.

The function is given as

y = f(x) = -4x² + 7

and point (-1, 2k+1) lies on the graph.

This point means that, at x = -1, y = 2k+1

y = -4x² + 7

Substituting the values in

2k + 1 = -4(-1)² + 7

2k + 1 = -4 + 7 = 3

2k = 3 - 1

2k = 2

k = 1

Hence, the point (-1, 2k+1) is (-1, 3)

To check,

y = -4x² + 7

3 = -4(-1)² + 7

3 = -4 + 7

3 = 3

So, this is truly correct.

Hope this Helps!!!

The population in a small town is increasing annually by 1.8%. What is the quarterly rate of population increase

Answers

0.4 because 1.8 divided by 4

Quarterly Rate means the per annum interest rate to be determined for the Bonds on a quarterly basis and the quarterly rate of population increase [tex]0.00447[/tex].

What is quarterly?

If the rate of interest is annual and the interest is compounded quarterly then the number of years [tex](n)[/tex]  is  [tex]4 times[/tex]  and the rate of annual interest [tex](r)[/tex] is one-fourth.

Here given that the annual rate is [tex]r=0.018[/tex].

And the exponential growth function is

[tex]y=a(1+r)^{x} ...(1)[/tex]

where [tex]a[/tex] is the initial amount

and  [tex]r[/tex] is the rate of growth.

So, By equation [tex](1)[/tex], we get

[tex]y=a(1+0.018)^{t}\\y=a(1.018)^{t}[/tex]

The quarterly growth rate, the exponent is the number of quarters in [tex]t years[/tex] or [tex]4t[/tex].

So, by multiplying the exponent by [tex]\frac{4}{4}[/tex], the [tex]4t[/tex] represents the number of quarters

[tex]i.e., y=a(1.018)^\frac{4t}{4}\\y=a(1.018^\frac{1}{4})^{4t}\\y=a(1.00447)^{4t}\\[/tex]

Hence, the quarterly growth rate is [tex]1.00446[/tex], now we subtract it with [tex]1[/tex] so it is of the form:-

[tex]1.004477-1=0.00447[/tex]

which implies that the population is increasing.

To learn more about quarterly

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PLEASE I NEED THE ANSWER QUICKLY BEING TIMED!!! 20 MINUTES LEFT

Answers

Answer:

Step-by-step explanation:

B) 360 in²

3 rectangles + 2 triangles

(10×12) + (10×13) + (10×5) + 2(½×12×5)

= 120 + 130 + 50 + 60

= 360 in²

Simplify: 3(5x+3x)+(x−8)

Thanks.

Answers

Answer:

=25x-8

hope this helps

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How does the planning and control of variable manufacturing overhead costs differ from the planning and control of fixed manufacturing overhead costs? Planning and control of manufacturing overhead costs has both a long-run and a short-run focus. The long-run focus involves Revolutions planning to and for the short-run focus to manage the cost drivers of value-added overhead activities undertake only value-added overhead activities in the most efficient way. Planning and control of fixed variable manufacturing overhead costs have primarily a long-run focus. It involves managing the cost drivers of value-added fixed overhead activities undertaking only value-added fixed-overhead activities for a budgeted level of output. Revolutions makes none most of the key decisions that determine the level of overhead costs at the start of the accounting period. You were hired as a consultant to restructure operating capital. The recommended goal is for the firm to have a capital structure is 33% debt, 8% preferred, and 59% common equity. The interest rate on new debt is 6.50%, the yield on the preferred is 6.00%, the cost of retained earnings is 11.25%, and the tax rate is 28%. The firm will not be issuing any new stock. The firm's projected WACC is ______% Stereotype vulnerability reflects __________.a. when a person's deeply held stereotypes begin to dissipate.b. when the stereotypes a person holds puts them into a dangerous situation.c. obstacles to performance that stem from awareness of society's stereotypes. d. when a person holds negative stereotypes about a group to which they do not belong. Pets Inc. makes 2 products, dog collars and cat collars. Each passes through the cutting machine, which is the binding constraint. Dog collars take 6 minutes on the cutting machine and have a contribution margin per unit of $10. 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If these guys just go with us this first time, everythings going to be okay.Group of answer choiceshe salutes the flag out of habit, not because she wants to.She feels as though her country has gone to great lengths to bring her justice.She thinks that everyone is treated fairly and given equal opportunity in the United States.She doesnt believe that the soldiers should be getting involved in this matter. 7 DIBUJOS DE CADA CAPITULO DEL CUENTO LLAMADO EL FANTASMA DE CANTERVILLE ayudenme rapidooooo me urge gracias calculate the kinetic energy of a motorcycle mass 60kg travelling at a velocity of 40km/h. 4. Ideas clave y detalles Which of the following sentences best describes how Karina feelsabout being a "quinceaera"?A She is really excited to turn fifteen.B She thinks that nobody will want to come to her party.C She hopes that her mother will get a limousine for her and her friends.ivedD She wants to have the party at home, and not in a restaurant. Which forms of government are described in the chart above?A.communism B.autocracyC.monarchyD.socialism Homer is an employee of Chemical Refinery, Inc. Homer is threatened with a discharge when he refuses a transfer to a Chemical Refinery department in which several employees suffered serious injuries from exposure to hazardous chemicals. Homer may be entitled to protection from discharge under a. no law. b. the Family and Medical Leave Act. c. the Occupational Safety and Health Act. d. the state workers compensation act. Please help with a picture it very much appreciated I need help ASAP :):):):) Jennifer has at least $34 more than triple the amount that Matthew has. If Matthew has $2, write aninequality that represents the amount that Jennifer has, and graph the solution. Accessory Industries has 2 million shares of common stock outstanding, 1 million shares of preferred stock outstanding, and 100 thousand bonds. 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