A box contains 7 green marbles, 10 blue marbles, and 5 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that two of the marbles selected are green and the other marble is red.

Answers

Answer 1

Answer:

5/253

Step-by-step explanation:

The first green is 7/23, the second is 6/22 and the red is 5/21. Multiply them together for 5/253.


Related Questions

A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top?

Answers

Answer:

P.E = mgh = 120N

Step-by-step explanation:

v² = u² - 2as

At the top, the velocity is = 0

0² = 4² - 2 x 10 x s

4² = 20s

s = 16/20

s = 0.8metres.

It rose only 0.8metres.

Therefore P.E = 15 x 10 x 0.8

:. P.E = 15 * 8

:. P.E = 120N

HELP PLEASE I REALLY NEED IT

Answers

Answer:

18

Step-by-step explanation:

1/2 bh

1/2 (6)(6) multiply

1/2 (36) divide

18

solve the equation 5-x=8

Answers

Answer:

x = -3

Step-by-step explanation:

1. 5 - x = 8

2.   +x    +x

3. 5 = x + 8

4. -8       -8

5. x = -3

Rearrange the terms
5 - x = 8
-x + 5 = 8


Subtract 5 from both sides
-x + 5 = 8
-x+5-5 = 8-5

subtract the numbers ( simplify )
-x = 3


divide both sides
-x = 3
-x/-1 = 3/-1


simplify
x = 3/-1
x = -3





So therefore, your answer is x = -3

Solve for the value of X

Answers

Check the picture below.

An airplane can ascend at a rate of 50 1/2 meters in 2/3 of a second. How many meters can the airplane ascend in one second?

Answers

Answer:

78.75

Step-by-step explanation:

s.p. is 4000, profit is 25% than find c.p.please explain itt​

Answers

Selling price = 4000Profit = 25%We know, [tex]\sf cost \: \: price \: \: = \frac{100}{100 + profit\%} \times selling \: \: price \\ [/tex]Therefore, cost price

[tex] \sf= \frac{100}{100 + 25} \times 4000 \\ = \frac{100}{125} \times 4000 \\ = \frac{4}{5} \times 4000 \\ = 4 \times 800 \\ = 3200[/tex]

[tex] \huge \sf \: Answer[/tex]

The cost price is 3200.

Hope you could get an idea from here

Doubt clarification- use comment section.

If an angelfish is 6/5 inches, how many feet is it? I'm literally going to give you 100 points.

Answers

Answer:

0.1 foot

Step-by-step explanation:

1 inch = 0.083 foot

Formula: divide the length value by 12

So, multiply 0.083 to [tex]\frac{6}{5}[/tex]

[tex]\frac{6}{5} = 1.2[/tex]

1.2 × 0.83 = 0.996

approximatlry, 0.996 = 0.1

Therefore, [tex]\bold{\frac{6}{5}}[/tex] inches are equal to 0.1 foot.

A bike path is 12.5 miles. Dominic is 70​% of the way to the end. How far is Dominic on the​ path?


Pls help me

Answers

Answer:

p/12.5 = 70/100

Step-by-step explanation:

a percent is considered out of 100

since you know the total 12.5, that will fit as the whole

A survey of 600 nurses yielded the following information: 427 were health club members, 325 were smokers, and 245 of the health club members were smokers. How
many of the 600 surveyed nurses were health club members or were smokers?

Answers

The number of surveyed nurses that were health club members or were smokers is 316.

Let the total number of nurses be 600 nursesn(U) = 600Let H be health club members, n(H) = 427Let S be smokers, n(S) = 325

If 245 of the health club members were smokers, then n(HnS) = 245 members.

The number of surveyed nurses that were health club members or were smokers = 600 - [(427 - 325) + (427-245)].

The number of surveyed nurses that were health club members or were smokers = 600 - (102+182) = 600 - 284.

The number of surveyed nurses that were health club members or were smokers is 316.

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Which answer shows the correct solution for 6x + 19x - 4 = 5(5x + 4)?

No solution
Infinitely many
One solution

Answers

Answer:

No solution

Step-by-step explanation:

25x-4=5(5x+4)

Distributive Property= 25x-4=25x+20

Solve for x

-4=20

Not possible so no solution.

Answer:

A

Step-by-step explanation:

6x + 19x -4 = 5(5x+4)

6x + 19x -4 = 25x+20

6x + 19x- 25x = 20+4

Combine Like terms

0 = 20 +4

0 = 24

0 = 24 = No solution

Emple
Six pounds of grapefruit cost $3. What is the cost per pound?
You can use a double number line to help you find ate and
unitate Start with the ratio you know: 53 for 6 pounds
Divide both 53 and 6 pounds by 3 to get 1 for 2 pounds
Then divide 51 and 2 pounds by 2 to find the cost per
pound, which is so. So for 1 pound.
1
Notice that you can also divide 3 by 6 to get the cost per
pound directly
In the example, how much would it cost to buy 3.4 and
5 pounds of grapefruit? Explain how you found your
answers

Answers

Answer:

0.50

Step-by-step explanation:

A doughnut shop sells 30 kinds of doughnuts. In how many ways can you get a bag of 12 doughnuts if you want at least 3 glazed doughnuts and at least 4 raspberry doughnuts

Answers

Answer:

86493225

Step-by-step explanation:

Hope it helps

How do I do this? It's a modulus question.

Answers

1)
||x|-4|= |x-1|
1st step = separate the equation into 2 possible equations
2nd step = solve the equations
|x|-4= x-1
x= -3/2
Or
|x|-4= - (x-1)
X= 5/2

2)

Do the same
X= -5/2
X= 7/2



Crater Lake in Oregon is shaped like a circle with a diameter of about 5.5 miles

a. How far is it around the perimeter of Crater Lake

b. What is the area of the surface of Crater Lake?

Give a step by step explanation please

Answers

Answer:

The perimeter of a circle is calculated with 2πr

The r stands for radius. The radius is half of the diameter.

So r=2.25

Plug it in 2π(2.25)

It was simplify to 4.5π

Which would simplify down to 14.14 miles rounding to the nearest hundredth.

Bill wanted to know how many times students at his middle school go to the beach each week during the summer. He surveyed every other middle school student at the mall last Saturday. After analyzing the data collected, Bill determined that the average student from his middle school goes to the beach about 2.4 times a week during the summer. What error did he make in the survey?

Answers

The survey was intended for Bill's middle school during the summer. The

survey was administered to students of other schools on a Saturday.

The type of error is the selection bias error.

Reasons:

The type of error made is a non sampling error, given that the target of the

study is the number of times in a week students at his middle school

attend the beach during the summer.

The errors are; Selection bias error.

The given that the students survey are not from his middle school.The survey was carried out once on a Saturday, where the target was during the summer.

The selection bias error is a type error that is due to the researcher

chooses what to study, such that the participant have common

characteristics rather than being random.

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Because Aaron, age 32, is a smoker, he must pay more for life insurance. Given that Company A charges 20% more for smokers, Company B charges 18% more for smokers, Company C charge 25% more for smokers and Company D charges 15% more for smokers, Aaron decides to buy his $250,000 policy from Company B. Which of the following statements is true? A 5-column table with 3 rows titled Annual Insurance Premiums (per 1,000 dollars of face value) 10 year term. Column 1 is labeled age with entries 30, 31, 32. Column 2 is labeled Company A with entries 1.30, 1.57, 1.86. Column 3 is labeled Company B with entries 1.29, 1.55, 1.86. Column 4 is labeled Company C with entries 1.40, 1.64, 2.07. Column 5 is labeled Company D with entries 1.49, 1.88, 2.25. a. Aaron is paying the smallest premium possible with Company B. b. Aaron is paying $93 more in premiums than he would with Company A. c. Aaron is paying $129 more in premiums than he would with Company C. d. Aaron could have chosen any company because the premiums are all the same. Please select the best answer from the choices provided A B C D

Answers

Answer:

answer B

Step-by-step explanation:

becuase b is bad for you

trIangle ABC was reflated over y-axis. the coordinate of point A are(6,-4). what are the coordinate of A

Answers

Answer:

(-6,-4)

Step-by-step explanation:

Rule for reflection over the y axis (x,y) -----> (-x,y)

Explanation of rule : change the sign of the x value and keep the y value the same.

Applying rule to given coordinate

(6,-4) -----> change the sign of 6 to get -6 and keep -4 as it is -----> (-6,-4)

Refer to the attached image for more validation. Note that x=0 is the y axis

A mother earned ​$8750 from royalties on her cookbook. She set aside​ 20% of this for a down payment on a new home. The balance will be used for her​ son's future education. She invests a portion of the money in a bank certificate of deposit​ (CD account) that earns​ 4% and the remainder in a savings bond that earns​ 7%. If the total interest earned after one year is ​$420​, how much money was invested at each​ rate?

Answers

Answer:

Step-by-step explanation:

The problem statement is not clear regarding which money is invested. We will assume it is the 80% of $8750 that is set aside for future education. That amount is

... 0.80 × $8750 = $7000

If x represents the amount invested at 7%, then the total interest earned is

... (7000 -x)×4% + (x)×7% = 420

... 280 +0.03x = 420

... x = 140/0.03 ≈ 4666.67

$4666.67 was invested at 7%.

$2333.33 was invested at 4%.


Using the graph at right, where is the function increasing/decreasing? Where is the function concave up/down? Does this function have any
maxima or minima? Explain how you know

Answers

Explanation:

Start by calculating the first derivative of f(x) - use the quotient rule

ddx(f(x))=[ddx(x2)]⋅(x2+3)−x2⋅ddx(x2+3)(x2+3)2

f′=2x⋅(x2+3)−x2⋅2x(x2+3)2

f′=2x3+6x−2x3(x2+3)2=6x(x2+3)2❤

GEOMETRY The perimeter of a square is four times the length of one side. If the side length of a square is 1 centimeter, then the perimeter of the square is 4 centimeters. Write an equation in point-slope form to find the perimeter y of a square with side length x.

Answers

Answer:

y-4=4(x-1)

Step-by-step explanation:

Write the equation in slop-intercept form and get the slope and point from the equation

y=4x

The slope of the equation = m = 4

when x=1

y=4(1)

y=4

we get point from the equation which is (1,4)

Now we write the equation in point-slope form

point-slope formula = y-y₁=m(x-x₁)

*plot the the point we get and the slope in the formula above

= y-4=4(x-1)

An equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).

Given that, the perimeter of a square is four times the length of one side.

What is the point slope form?

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y1) = m(x - x1)

where, (x, y) is a random point on the line and m is the slope of the line.

The equation is y=4x

If the side length of a square is 1 centimeter, then y=4

So, the coordinate point is (1, 4)

The slope of an equation y=4x is 4

Put (x1, y1)=(1, 4) and m=4 in slope intercept form

That is, slope intercept form is y-4=4(x-1)

Therefore, an equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).

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A 2ft-by-2ft square is divided into smaller squares and portions are shaded. What is the area of the shaded portion?

Answers

Answer:

1.5 ft^2

Step-by-step explanation:

Since the length is divided into 4 parts,

Length of a small square = 2/4

= 0.5 ft

Hence,

Area of 1 small square = (0.5)(0.5)

= 0.25 ft^2

Area of shaded portion = Area of 6 small squares

= 6(0.25)

= 1.5 ft^2

Step-by-step explanation:

The area of the shaded cubes is 3 square feet.

What is a square?

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given side²

We have,

Since the 2 ft-by-2 ft square is divided into 16 smaller squares, each smaller square has an area of:

(2/4)ft = 0.5ft.

Now,

Out of the 16 smaller squares, 6 smaller cubes are shaded.

Since each smaller cube occupies the space of one of the smaller squares, the total area of the shaded cubes is 6 times the area of one of the smaller squares.

The area of the shaded cubes is:

6 x 0.5ft² = 3ft²

Thus,

The area of the shaded cubes is 3 square feet.

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Which value of x makes the following equation true?

4.8(x - 4) = -0.2x + 15.8
A. 6
B. 10
C. 7
D. 9

Answers

Answer:

C

Step-by-step explanation:

multiply through by 10

10{4.8(x-4)} = 10(-0.2x) + 10(15.8)

48(x-4) = -2x + 158

48x - 192 = -2x +158

48x + 2x = 158 + 192

50x = 350

divide through by 50

x=350/50

x=7

therefore, answer = C

help i need help look at question

Answers

Answer:

A

Step-by-step explanation:

because 12 is the smallest number/angle

If Alex is 14 years old, and Ben is 17 years old, in how many years will the sum of their ages be 169 years?

Answers

Answer:

69 years

Step-by-step explanation:

Sum of Alex's and Ben's current age

= 14 +17

= 31 years

For every year, Alex and Ben will each be one year older. Thus, 2 years would be added to the sum of their ages with each passing year.

Difference in the sum of their ages

= 169 -31

= 138 years

Number of sets of 2 years

= 138 ÷2

= 69

Thus, the sum of their ages will be 169 in 69 years.

Consider the equation of a circle If the line is its diameter. Then find the value of a.

Answers

Answer:

more info??? bc that doesn't make sense i guess

300000÷_________=300.

Answers

Answer:

1000

Step-by-step explanation:

Answer:

100000

Step-by-step explanation:

What is the greatest exponent in the expression 8x-x^2+9-3x^4+5x?

Answers

Answer:

4

Step-by-step explanation:

A store sells laptops for $720 each. This price is 20 percent more than what it cost the store to buy each of them. Before the next model's release, store employees can purchase any remaining laptops at 23% off the store's cost. How much would it cost an employee to purchase one of these laptops at the sale? PLS HELP

Answers

It would cost an employee $443.52 to purchase one of these laptops at the sale.

The selling price of the laptops is $720 each. The cost price is 20 percent more than the cost price.

Cost price = Selling price - 20% of cost price

Cost price = 720 - 20% * 720 = $576

At the release, the laptops are at 23% off the store's cost. Hence:

Price of laptop at release = 576 - 23% of 576

Price of laptop at release = $443.52

It would cost an employee $443.52 to purchase one of these laptops at the sale.

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A particle moves along the x-axis so that at time t ≥ 0 its position is given by x(t) = 2t3 - 21t2 + 72t - 53. At what time t is the particle at rest?

Answers

Step-by-step explanation:

The particle is at rest when the derivative of x(t), which is its velocity, is zero, i.e.,

[tex]\dfrac{d}{dt}[x(t)] = \dot{x}(t) = 0[/tex]

Since [tex]x(t) = 2t^3 - 21t^2 + 72t - 53,[/tex] its derivative is

[tex]\dot{x}(t) = 6t^2 - 42t + 72[/tex]

Equating this to zero, we get

[tex]6t^2 - 42t + 72 = 0 \Rightarrow t^2 - 7t + 12 = 0[/tex]

This is a familiar quadratic equation whose roots are

[tex]t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]\;\;\;= \dfrac{7 \pm \sqrt{(7)^2 - 4(1)(12)}}{2}[/tex]

[tex]\;\;\;= \dfrac{7 \pm 1}{2}[/tex]

[tex]\;\;\;= 3\;\text{and}\;4[/tex]

This means that the particle will be at rest at t = 3 and t= 4.

What is g(x)?
10-
у
5
X
+
10
d
A
-5
-10
A. g(x) = -1x1
B. g(x) = -x
C. g(x) = -x2
D. g(x) = -2X

Answers

C

Step-by-step explanation:

This has a U like shape so it a parabola.

Parabola correlate with quadratic functions

[tex]y = {ax}^{2} + bx + c[/tex]

Since it Going down, the answer is C -x^2.

The function whose graph is given is g(x) = -x²

What is a function?

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that a graph, we need to find its function,

Since, the graph is a curve opened downwards, so it is a parabola, opened downwards,

The equation of the parabola is given by y = ax²+bx+c

Therefore, out of the given options we can say that the function is y = x²

Hence the function whose graph is given is g(x) = -x²

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