There are 8 red marbles, 2 green marbles, and 5 blue marbles in a bag. Marbles are replaced after each draw. What is the probability that the first marble drawn is red and the second marble drawn is green?

Answers

Answer 1

Answer:

[tex]\frac{16}{225}[/tex]

Step-by-step explanation:

When attempting probability problems we want to figure out the chances of something happening. This turns into something like:

[tex]\frac{\text{marble drawn}}{\text{total marbles}}[/tex]

In this case we have 8 red marbles, 2 green marbles, and 5 blue marbles in a bag. That brings us to a total of 15 marble.

Since we want to first draw a red marble the chance of that happening would be:

[tex]\frac{8\text{(the marble drawn)}}{15\text{(total # of marbles)}}[/tex]
Now we replace the marble as stated in the problem so we then draw the next marble, which is green.

[tex]\frac{2\text{(the marble drawn)}}{15\text{(total number of marbles)}}[/tex]

All that's left is to multipy the values we got:

[tex]\frac{8}{15} *\frac{2}{15}=\frac{16}{225}[/tex]

That's our answer.


Related Questions

the answer choices are
A. 2 1/4 inches
B. 3 inches
C. 4 1/2 inches
D. 5 inches

Answers

Check the picture below.

[tex]\stackrel{X}{1\frac{1}{2}}~~ + ~~\stackrel{X}{1\frac{3}{4}}~~ + ~~\stackrel{X}{1\frac{3}{4}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} ~\hfill \stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{2}~~ + ~~\cfrac{7}{4}~~ + ~~\cfrac{7}{4}\implies \cfrac{(2)3~~ + ~~(1)7~~ + ~~(1)7}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{20}{4}\implies 5[/tex]

A bag contains 6 yellow cubes, 14 red cubes, and 2 blue cubes. Determine whether the following event is impossible, unlikely, as likely as not, likely, or certain.
A red cube is randomly drawn from the bag.

Answers

i would be as likely to happen because there are more red cubes then any other cubes.

Turner works a part-time job at a video game shop. He makes $12.30 per hour. If he works 22.5 hours this week, how much will he earn?

Answers

Answer:

Step-by-step explanation:

You multiply 12.30 x 22.5 and that = $276.75

Subtract --5x^2-
9x- 8 from
-6x^2 + 5.

Answers

Answer:

-x²+9x+13

Step-by-step explanation:

if your question is (-6x²+5)-(-5x²-9x-8)

-(-a-b)=(a+b)

=-6x²+5+5x²+9x+8

=-6x²+5x²+9x+5+8

=-6x²+5x²+9x+13

Then the answer is -x²+9x+13

You need a new mat to place under your dogs water bowl. The mat has a diameter of 24 inches and the water bowl has a diameter of 8 inches. What is the approximate space of the mat not covered by the water bowl?

Answers

Answer:

200.96

Step-by-step explanation:

So, we have to find the area of both.

The area for the mat is

(pi)12^2=3.14x144. However, since it is HALF a circle, we divide it by two.

So, 226.08

Next, the water bowl.

(3.14)4^2=50.24.

226.08-25.12=200.96

I may be wrong!

-1/5 = w - 4/5 whats the value of w

Answers

[tex]w = \frac{3}{5} [/tex]

Write the equation of the line that is parallel to the line y=3x+7 and passes through the
point (-4,-14).

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope slopes.

The first line is y = 3x + 7. Its slope is 3. A line parallel to this one will also have a slope of 3.

Plug this value (3) into your standard point-slope equation of y = mx + b.

y = 3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, -14). Plug in the x and y values into the x and y of the standard equation.

-14 = 3(-4) + b

To find b, multiply the slope and the input of x (-4)

-14 = -12 + b

Now, add 12 to both sides to isolate b.

-2 = b

Plug this into your standard equation.

y = 3x - 2

This equation is parallel to your given equation (y = 3x + 7) and contains point (-4, -14)

Hope this helps!

Learn with another example:

https://brainly.com/question/27121082

Kendra and Dalisay practice archery. Kendra hits the target 3 times for every 5 misses. Dalisay hits the target 5 times for every 7 misses. Who hits the target more?

Answers

Using proportions, it is found that Dalisay hits the target more.

What is a proportion?

A proportion is a fraction of a total amount.

Kendra hits the target 3 times for every 5 misses, that is, she hits the target 3 out of 8 times, hence her proportion is:

pK = 3/8 = 0.375.

Dalisay hits 5 out of 12 times, hence:

pD = 5/12 = 0.4167.

Due to the higher proportion, Dalisay hits the target more.

More can be learned about proportions at https://brainly.com/question/24372153

There are 8 hamburger buns in a package. which number of hamburger buns would fill a whole number of packages: 18, 32, 44, 56?

Answers

Answer:

32 and 56?

Step-by-step explanation:

32 and 56 are related to 8.

32=8x4

56=8x7

The number that would fill a whole number of packages of hamburger buns is 32 ad 56.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

18, 32, 44, 56

We need to find which number can be evenly divided by 8 because there are 8 hamburger buns in a package.

Now,

18 is not divisible by 8, because 8 x 2 = 16, and 18 is greater than 16.

32 is divisible by 8 because 8 x 4 = 32.

44 is not divisible by 8, because 8 x 5 = 40, and 44 is greater than 40.

56 is divisible by 8 because 8 x 7 = 56.

Therefore,

32 and 56 would fill a whole number of packages of hamburger buns.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

!!20 points and Brainliest please help!!!

Which of the following could be factored by grouping?

A) ab + ad - ac + ae
B) ac + ad + bc - bd
C) ab + cd – ab + cd
D) ac + ad + bc + bd

Answers

D) ac + ad + bc + bd

Hope it helps :)

Answer:

D) ac + ad + bc + bd

Step-by-step explanation:

Use the relationship between the angles in the figure to answer the question.

Which equation can be used to find the value of x?

Answers

Answer:

x=52°

Step-by-step explanation:

because of the vertical angles theorem

Answer:

x=52°

Step-by-step explanation:

   the vertical angles theorem

help me please i rate you highest

Answers

Step-by-step explanation:

circumference = 2 pi r

2 × 3.14 × r = 527.52 yd

r = 527.52 × 1/2 × 1/3.14

r = 84 yd

Surface area = 4 pi r²

= 4 × 3.14 × 84²

= 88,623.36 yd²

The mass is divided by 2 and the volume is multiplied by 4 what happens to the density

Answers

Answer:

Density is mass over volume so if the mass is being divided the value is smaller and volume is being multipliedd so value is larger but since volume is the denominator and is getting larger you are going to end up with a smaller number since smaller number gets/ larger number gets = smaller value gets

Step-by-step explanation:

i needddddddd helpppppppppp

Answers

Answer:

x = 142°

Step-by-step explanation:

The first thing you need to figure out is the missing interior angle of the triangle.

There is 180 degrees in a triangle, there is a 90° and 52° angle listed, so subtract that from 180° to get the missing angle.

180° - 90° - 52° = 38°

Now we want the exterior angle x. Angle x and the interior angle form a straight line when combined which will also be a 180° angle. You can picture this as a half circle (a full circle is 360°).

So subtract the interior angle 38° from 180°

180° - 38° = 142°

Giving brainiest and 50 points! :)

Answers

Answer:

105 cm³

Step-by-step explanation:

Given:

Height of triangular base: 7 cmBase of triangular base: 5 cmHeight of triangular prism: 6 cm

Formula:

[tex]\text{Area of triangular prism:} \ (\text{Area of triangle}) \times \text{Height of triangular prism}[/tex]

Substitute the given measures in the formula to determine the volume.

[tex]\implies\text{Area of triangular prism:} \ (\frac{1}{2} \times 5 \times 7) \times 6[/tex]

Simplify the expression as needed.

[tex]\implies\text{Area of triangular prism:} \ (17.5) \times 6[/tex]

[tex]\implies\boxed{\text{Area of triangular prism:} \ 105 \ \text{cm}^{3}}[/tex]

Answer:

105 cm³

Step-by-step explanation:

Given:

Height of triangular base: 7 cm

Base of triangular base: 5 cm

Height of triangular prism: 6 cm

Formula:

Substitute the given measures in the formula to determine the volume.

Simplify the expression as needed.

PLSSSS HELP <3
Which value of C represents a system with infinitely many solutions?
{6x+4y=14}
{9x+6y=C}

Answers

Answer: Option 2

Step-by-step explanation:

Fill in the table using this function rule

y=5+4x

please help like u don’t know how many times I’ve posted this :,)

Answers

hello!

Plug in the values of x and solve for y:-

y=5+4x

y=5+4(4)

y=5+16

y=21

________________________________

y=5+4x

y=5+5(5)

y=5+20

y=25

_________________________________

y=5+4x

y=5+4(8)

y=5+32

y=37

___________________________________

y=5+4x

y=5+4(10)

y=5+40

y=45

__________________________________

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

see explanation

Step-by-step explanation:

substitute the values of x from the table into the rule and evaluate for y

x = 4 → y = 5 + 4(4) = 5 + 16 = 21

x = 5 → y = 5 + 4(5) = 5 + 20 = 25

x = 8 → y = 5 + 4(8) = 5 + 32 = 37

x = 10 → y = 5 + 4(10) = 5 + 40 = 45

then

     x   y

    --------

    4   21

    5   27

    8   37

   10   45

A rectangular piece of poster board measures 60 centimeters by 80 centimeters. Linn draws the net of a box on the poster board and cuts it out. If the box measures 10 centimeters by 16 centimeters by 27 centimeters, what is the area of the poster board left?

Answers

Area of poster board before cutting it = 60cm x 80cm = 4800cm^2

Total surface area of the box = 2(10cm x 16cm) + 4(27cm x 10cm) = 1400cm^2

Area left = (4800 - 1400)cm^2 = 3400cm^2

The triangles are similar.


What is the value of x?


Enter your answer in the box.

Answers

Answer:

x=4

Step-by-step explanation:

3x+8 = 20

subtract 8 both sides

3x=12

divide 3 both sides

x=4

The measures of angles A and B are supplementary. What is the measure of each angle?

Answers

Answer:

any angle that can give the 180 degree is the answer but these angle is found face to face each other

what is the constant of proportionality of the below

Answers

Answer:

Proportionality constant k

When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.

Answer: Proportionality constant k

Step-by-step explanation:

below?

The cost of pool service includes labor and supplies. labor is 80% of the total cost. the cost of labor for a certain pool service is $220.


what is the total cost of the pool service?


enter your answer in the box

Answers

Answer:

I know im late but the answer is 275 I just took the test on k-12

Step-by-step explanation:

A bag contains 24 ounces of soil. You use 2 7/8 ounces of soil to plant 1 herb.Is there enough soil in the bad to plant 8 herbs?

Answers

Answer:

Yes

Step-by-step explanation:

2 7/8x8=23

So you would have enough and one oz left over.

Yes there is enough soil
2 7/8x8=23
There is enough in the bag to plant 8 herbs

If y’all r smart, then answer this.
Please help..

Answers

Answer

just add everything but the answer is 130

May you help me please I am stressed and struggling

Answers

Answer:

a,c,e.

Step-by-step explanation:

2x+3x+4(2) is 5x+8. C is also. 2(2x) is 4x. 2(4) is 8. Add x is 5x+8

The of a sister is two times of her brother ages. Two years ago, the age sum of the ages was 26 years. Find their ages. k​

Answers

Sister is 20 and her brother is 10.
Two years ago: 18 + 8 = 26

help its for calculus

Answers

Answer:

maybe its e(1/y)

Answer:

it should be e(1/y)

I Need Help! Please!
A local grocery store buys fresh carrots from a nearby farm for $0.65 per pound and sells them for $0.88 per pound. What markup rate does the grocery store use? Round to the nearest whole percent.

The markup rate that the grocery store uses is _____ % (Round to the nearest whole percent.)

Answers

Answer:

35%

Step-by-step explanation:

I'm sorry if it isn't right but I tried.

Jen and her friends would like a curved pit to be included in next year’s obstacle course. they found this equation to model their suggested curved pit using a computer simulation. in the equation, y is the depth of the pit in relation to the surface of the course, and x is the horizontal distance from the left edge of the entire obstacle course. both distances are in feet. y = 0.75x^2 − 13.5x + 57.75 select the correct answer from each drop-down menu. a robot traveling along the surface of the curved pit reaches a (maximum, minimum, or contrast) depth of (-3, -9, 4, or -7) feet

Answers

Considering the vertex of the quadratic function, it is found that:

A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

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

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

In this problem, the function is given by:

y = 0.75x² - 13.5x + 57.75.

Which means that the coefficients are a = 0.75 > 0, b = -13.5, c = 57.75.

Thus, the minimum value is given by:

[tex]y_v = -\frac{(-13.5)^2 - 4(0.5)(57.75)}{4(0.75)} = -22.25[/tex]

Thus:

A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.

More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967

What is the FIRST STEP to solve this equation?

3x+2=17
Question 5 options:

Add 2 to both sides


Subtract 2 from both sides


Multiply both sides by 3


Divide both sides by 3

Answers

Answer:

2nd option I believe

Step-by-step explanation:

subtract 2 from both sides

Answer:

The first step is to subtract from both sides

Step-by-step explanation:

if you do this it's method of balancing equations whereby you have. 3x+2-2=17

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