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

50% is the same as what decimal?

Answers

Answer:

0.5

Step-by-step explanation:

To convert a percentage into a decimal you divide by 100 :

50% ÷ 100 = 0.5

Hope this helped and brainliest please

Answer: 0.5

Step-by-step explanation: 50/100

what is the area of this shape?

Answers

130.5 I think because top triangle is 9 by 3 middle rectangle is 12 by 9 and bottom square is 3 by 3

Answer:

130.5 mi sq

Triangle: A = bh/2

A = ((21 - 12) x (3))/2

A = (9 x 3)/2 = 13.5 mi sq

Middle rectangle: A = bh

A = (6 + 3)(15 - 3)

A = (9)(12) = 108 mi sq

Last rectangle: A = bh

A = 3 x 3 = 9 mi sq

TOTAL: 13.5 + 108 + 9 = 130.5 miles sq

Have a good night!

Quotient for 7.924/0.7

Answers

Answer:

11.32

Step-by-step explanation:

: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points)

Part B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth. (3 points)

Answers

Answer:

A rational number: 5.4, which also can be written as 27/5

Irrational number:

sqroot 28

approx= 5.29

Step-by-step explanation:

5.4 is a rational number because it is a terminating decimal. That means it ends after the 4, there are no more numbers. Also it can be written as a ratio (looks like a fraction) 27/5.

Sqroot28 is irrational. Since 28 is not a perfect square, when you squareroot it you get a number with a neverending decimal

sqroot28 = 5.2915026221...

since the decimal does not repeat or end it cannot be written as a ratio, so it is not rational

sqroot28 ~= 5.29

Help me please so i can get points real quick!!

Answers

Area = πr2

Area of shaded part
= π(8^2) - π(5^2)
= π[(8^2)-(5^2)]
= π(64-25)
= π x 39
= 122.52 yard squared

Thomas is rolling a fair six-sided number cube numbered from 1 to 6. The situation with a probability closest or equal to 0 is rolling a number

greater than 5
greater than 1
less than 9
less than 4


For a class activity, each student randomly chooses a number from 1 to 10. Which model shows the probability of choosing a multiple of 4?

2/8
2/10
8/2
10/2


Sonya is thinking of conducting a survey with her seventh-grade classmates. She knows she will need to use a sample of students in her survey. Which of the following surveys would not be valid with a sample of seventh-grade classmates?

theme for the seventh-grade Fun Night
bank that offer the most services
milk choices offered at lunch
best backpack for school


A bag contains 4 white, 3 blue, and 3 red marbles. Find the probability of choosing a red marble, then a white marble if the marbles are replaced.

7/10
7/100
12/90
12/100


Find the probability of spinning the following. P(not 7)

1/7
1/8
7/8
4/8

Answers

The answers to your questions are as follows :

The situation with a probability closest or equal to 0 is rolling a number: (A) greater than 5. The model which shows the probability of choosing a multiple of 4 is: ( B )  [tex]\frac{2}{10}[/tex] (2/10)The only survey that would not be valid with a sample of seventh-grade classmates is : ( B ) Bank that offer the most services.The probability of choosing a red marble, then a white marble if the marbles are replaced is : ( A ) 7/10.The probability of spinning the following. P(not 7) = 7/8

Meaning of Probability

Probability is a branch of mathematics that deals with the degree of occurrence of an event.

1) The situation with a probability closest or equal to 0 is rolling a number: (A) greater than 5.

Because: there is only one number greater than 5 in that list (which is 6)

2) The model which shows the probability of choosing a multiple of 4 is: ( B )  [tex]\frac{2}{10}[/tex] (2/10)

Because: there are only two multiples of 4 that can be picked from number 1-10

3) The only survey that would not be valid with a sample of seventh-grade classmates is :  Bank that offer the most services.

Because: they are not working and might have little or no idea about banking services.

4) The probability of choosing a red marble, then a white marble if the marbles are replaced is : 7/10.

where the probability of picking a red marble is =  [tex]\frac{3}{10}[/tex]

The probability of picking a white marble is = [tex]\frac{4}{10}[/tex]

since the marbles were replaced : [tex]\frac{3}{10}[/tex] + [tex]\frac{4}{10}[/tex] = [tex]\frac{7}{10}[/tex]

5) The probability of spinning the following. P(not 7) = 7/8

The probablity of picking a 7 is = [tex]\frac{1}{8}[/tex]

The probability of not is = 1 - probability of picking 7

1 - [tex]\frac{1}{8}[/tex] = [tex]\frac{7}{8}[/tex]

In conclusion, go the answers related to your questionare  provided above for each question.

Learn more about probability : https://brainly.com/question/24756209

#SPJ1

what is the slope of (2,5) (-6,-3)

Answers

Answer:

m=1

Step-by-step explanation:

(2,5);(−6,−3)

(x1,y1)=(2,5)

(x2,y2)=(−6,−3)

Use the slope formula:

m=

y^2−y^1

x^2−x^1

=

−3−5/−6−2

=

−8/−8

=1

Answer:

m=1

Answer:

[tex]\boxed{\sf{1}}[/tex]

Step-by-step explanation:

To solve this problem, you have to use a slope formula.

Slope formula:

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{Rise}{run} }[/tex]

[tex]\sf{y_2=(-3)}\\\\\sf{y_1=5}\\\\\sf{x_2=(-6)}\\\\\sf{x_1=2}[/tex]

Rewrite the problem down.

[tex]\sf{\dfrac{(-3)-5}{(-6)-2} }[/tex]

Solve.

[tex]\sf{\dfrac{(-3)-5}{(-6)-2}=\dfrac{-8}{-8}=\boxed{\sf{1} }[/tex]

Therefore, the slope is 1, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

help i am bad at geometry

Answers

Answer:

115.5 cubic meters.

Step-by-step explanation:

First find the are which is 10.5 because are is base times width divided by 2

The multiply the are with the height. 10.5 times 11 equals 115.5 cubic meters.

The sum of two numbers is 39. The larger number is 11 more than the smaller number. What are the numbers?

Larger number: ?
Larger number: ?

Answers

Answer:

Larger number = 25

Smaller number = 14

Step 1. Establish variables and system of equations

Larger number = x

Smaller number = y

&

x + y = 39

y + 11 = x

Step 2. Isolate a variable in ONE equation

x + y = 39

y = 39 - x

Step 3. Substitute that into the OTHER equation to find x

y + 11 = x

(39 - x) + 11 = x

50 - x = x

50 = 2x

25 = x

Step 4. Substitute that into the OTHER equation to find y

x + y = 39

(25) + y = 39

y = 14

Hope this helps!
Large: 25
Small: 14


i did. this for test practice in class on Friday!

A​ hot-air balloon is flying at an altitude of 2958 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 28​, how far is the house from the​ pilot?

Answers

Answer:

6300.70 feet

Step-by-step explanation:

Let the distance between pilot and house be d.

The three points form a right triangle, with height of 2958 ft and opposite angle 28 degrees.

Find d using trigonometry

sine = opposite / hypotenusesin 28° = 2958/dd = 2958/sin 28°d = 6300.70 feet
Perpendicular=P=2958Hypotenuse=H

Lets see

sinØ=P/Hsin28=2958/HH=2958/sin28H=6300.7ft

-(x+4)+3x=1=2x+5 distributive propert

Answers

Answer:

=5(9)+6+1. =45+7 =52

=52.move the x with the negative exponent into the denominator and change the sign. 1,3x'y+2xy-5y.solve when x = - 2;y = 3

Step-by-step explanation:

Refer to the figure below. What are the answers for the four blanks?

Answers

Answer:

see explanation

Step-by-step explanation:

the figure is an isosceles trapezium

The legs are congruent , that is

BC = AD = 15 units

The upper base angles are congruent , so

∠ B = ∠ A = 145°

Any lower base angle is supplementary to any upper base angle, that is

∠ C + ∠ B = 180°

∠ C + 145° = 180° ( subtract 145° from both sides )

∠ C = 35°

The lower base angles are congruent , so

∠ D = ∠ C = 35°

What is V=(3.14)(12x12)(12)

Answers

Answer:

5,425.92

Step-by-step explanation:

multiply 12×12

then mulitply 144×3.14×12

Put a circle round the largest number and a square round the smallest number in estha
a) 8 -7 -4 0 7
b) -9 1 0 -1 -4
C) -4 -8 -3. -7 -2

Answers

Answer:

A 406 of answer your question please sorry

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Using the Pythagorean theorem:

X^2 = 10^2 + 24^2

X^2 = 100 + 576

X^2 = 676

X = sqrt(676)

X = 26


answer: 26

Answer:

26 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets solve!!

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

Now lets find the square root!!

[tex]\sqrt{676}[/tex] = 26

Have an amazing day!!!

Please rate and mark brainliest!!

write each ratio in the simplest form 35 to 105

Answers

Answer: 35:105=1:3

Hope this helps! Have a good day !!! :)

Is –49 − –78 positive or negative?

Answers

Answer:

This is positive

Step-by-step explanation:

A "double negative" will always be positive. The equation should be rewritten as -49+78, the answer is 29.

Answer:

This one will be postive

Step-by-step explanation:

–49 − –78 is positve 29

It comes out to a positive because you are subtracting by a negative.

Hope that helps!

Please answer this it would be very helpful if you did.

Answers

Answer:

See below ↓↓↓

Step-by-step explanation:

Probability of getting heads

Outcome (head) = 1Total outcomes = 2P (head) = 1/2

Probability of getting an odd number

Outcome (odd) = {1, 3, 5} = 3Total outcomes = 6P (odd) = 3/6 = 1/2

The outcomes are equally likely because the probabiity of each outcome is the same.

which answer is right and please explain

Answers

None of them are right, you should email your teacher

Help Needed. Please.....!

Answers

Answer:

1  7/8

Step-by-step explanation:

You just have to subtract 2 from 1/8.

Pls explain thoroughly

Answers

In a box and whiskers plot, the data is split into 4 quadrants. Each quadrant is 25% of the data. 90-150 is the leftmost whisker and the left side of the box. 25% +25% is 50%
Answer: 50%

3+x=7 help please I’m so confused

Answers

×=4

Step-by-step explanation:

#CARRY LEARNPA BRAINLIEST PO!

Answer:

[tex]\huge\boxed{\bf\:x = 4}[/tex]

Step-by-step explanation:

[tex]3 + x = 7[/tex]

Bring 3 to the right hand side of the equation and isolate the variable.

[tex]3 + x = 7\\x = 7 - 3\\\boxed{\bf\:x = 4}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

simplify the following quadratic expressions
1) 2x^2 -3x -9
2) 3x^2 +5x +2​

Answers

Answer:

Below in bold.

Step-by-step explanation:

1) 2x^2 -3x -9

 2 * -9 =  -18. We need 2 numbers whose product is -18 and whose sum     is -3. They are -6 and + 3. So:

= 2x^2 - 6x + 3x - 9

= 2x(x - 3) + 3(x - 3)

= (2x + 3)(x - 3)

2) 3x^2 + 5x +2​

Now 3 * 2 = 6   We need to numbers whose product is + 6 and whose  sum is +5.  Theres are + 3 and + 2>

= 3x^2 + 3x + 2x + 2

= 3x(x + 1) + 2(x + 1)

= (3x + 2)(x + 1)

=

If X=25 when y=125, what is the value of x when y=25?

Answers

Answer:

5

Step-by-step explanation:

x=1/5y

Please, Help.
the answer isn't 30°

Answers

The missing angle of the right triangle ABC has a measure of 30°. (Correct answer: A)

How to find a missing angle by triangle properties

Triangles are geometrical figures formed by three sides and whose sum of internal angles equals 180°. There are two kind of triangles existing in this question: (i) Right triangles, (ii) Isosceles triangles.

Right triangles are triangles which one of its angles equals 90° and isosceles triangles are triangles which two of its sides have equal measures.

According to the statement, we know that triangle BQR is an isosceles triangle, whereas triangles ABC, ANB and NBC are right triangles. Based on the figure attached below, we have the following system of linear equations based on right triangles ABC and NBC:

2 · x + 90 + θ = 180   (1)

(90 - x) + 90 + θ = 180   (2)

By equalizing (1) and (2) we solve the system for x:

2 · x = 90 - x

3 · x = 90

x = 30

And by (1) we solve the system for θ:

θ = 180 - 2 · x - 90

θ = 30

The missing angle of the right triangle ABC has a measure of 30°. (Correct answer: A) [tex]\blacksquare[/tex]

To learn more on right triangles, we kindly invite to check this verified question: https://brainly.com/question/6322314

A watercolor painting is 22 inches long by 8 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 3 inches to each side of the length and the width. What is the area of the mat?

Answers

to find:

the area of the mat.

solution:

22 + 3= 25

8 + 3= 11

= 25 inches long by 11 inches wide.

25 × 11= 275 in^2

the area of the mat is 275 in^2.

give me the full working and I give you stars ​

Answers

→ Area of rectangle = Length * Width

Here given:

Length = 63 mWidth = 17 m

Here area:

L * W63 * 17 1071 m²

Answer:

1071 m²

Step-by-step explanation:

The area of a rectangle is basically the length multiplied with the width. The length can be any side length, but the width must be the adjacent to the length. Thus, we can let the length be 63 meters and the width be 17 meters as the width is adjacent to the length.

⇒ Area of rectangle = Width × Length

⇒ Area of rectangle = 17 × 63

Area of rectangle = 1071 m²

I Need help asap!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer of how many cars is 23

The answer would equal to 23 cars rented

In the figure below all lines intersect at point W what is the value of angle VWX?

Answers

Answer: 55

Step-by-step explanation:

Angle VWX and the 55 degree angle are vertical angles.

A) not periodic
B) periodic with a period of 6 and an amplitude of about 12.5
C) periodic with a period of 6 and an amplitude of about 25
D) periodic with a period of 12 and an amplitude of about 12.5​

Answers

Answer:    A) not periodic

Explanation:

Plot all of the data points on the same xy grid as shown below.

I used GeoGebra to make the diagram.

The points seem to be randomly scattered about without any apparent pattern (though there might be some symmetry going on). The data does not seem to be periodic.

Periodic data repeats itself at some point in time, for example like a waveform pattern, which unfortunately these data points don't reflect.

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