An urn contains three red marbles, and six blue marbles. What is the probability of selecting at random, without replacement, two blue marbles?
show all steps

Answers

Answer 1

The probability of selecting at random, without replacement, two blue marbles is 5/12.

What is Probability ?

Probability is the measure of the likelihood or chance of an event occurring. It is a mathematical concept that is used to quantify uncertainty and provide a basis for making informed decisions in various fields such as science, engineering, economics, and finance.

To solve the problem, we first need to find the total number of marbles in the urn. Since there are 3 red marbles and 6 blue marbles, there are a total of 9 marbles.

The probability of selecting a blue marble on the first draw is 6/9, since there are 6 blue marbles out of 9 total marbles.

Since we are selecting without replacement, the number of marbles left in the urn changes after each draw. After the first blue marble is selected, there are only 5 blue marbles left out of a total of 8 marbles. Therefore, the probability of selecting a second blue marble is 5/8.

To find the probability of selecting two blue marbles, we multiply the probability of the first draw (6/9) by the probability of the second draw (5/8):

(6/9) x (5/8) = 30/72 = 5/12

Therefore, the probability of selecting at random, without replacement, two blue marbles is 5/12.

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Related Questions

Ans 5(9+(5sq-16)sq)sq

Answers

Answer: (the 2s I added are for square 2)

5sq(5g2s2 - 16qs + 9)

Step-by-step explanation:

Ans 5(9+(5sq-16)sq)sq

find product of 3/8 × 4​

Answers

Answer:

1 and 1/2 or 1.5

Step-by-step explanation:

3/8 × 4/1 = 3/2 = 1 and 1/2

Result in decimals: 1.5

Calculation steps:

3/8 × 4/1 = (3 × 4)/(8 × 1) = 12/8

12 ÷ 4 = 3

8 ÷ 4 = 2

= 3/2 = 1 and 1/2

sin x=
4\3
4\5
10\6
3\5

sin x=4\34\510\63\5

Answers

The result:
16/20 = 4/5

Sin x= h/H [height/Hypotenuse]

Evaluate.

(jk−1) ÷j when j=−4 and k=−0.8

Enter your answer as a decimal in the box.

Answers

Step-by-step explanation:

(jk−1) ÷j

[(-4)(-0.8) -1] ÷ (-4)

=[ 3.2 -1] ÷ (-4)

=2.2 ÷ (-4)

= -0.55

The solution of the expression "\(\frac{jk-1}{j}\)" is "-0.55".

The given values are:

j = -4k = -0.8

→ \(\frac{jk-1}{j}\)

By putting the value of "j" and "k" in the given expression, we get

→ \(\frac{(-4)(-0.8)-1}{-4}\)

By solving the brackets, we get

→ \(\frac{3.2-1}{-4}\)

→ \(\frac{2.2}{-4}\)

→ \(-0.55\)

Thus the above response is correct.

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can u slove ASAP please

can u slove ASAP please

Answers

Answer:

B) 352

Step-by-step explanation:


45% = 0.45

640 x 0.45= 288

288 is how many students walked to school

So to find how many took the bus to school

640- 288= 352

answer the question in the picture

answer the question in the picture

Answers

Answer:

The answer is 692

Step-by-step explanation:

a₁₇ = 72, a₅₁ = 208

aₙ = a + (n-1)d

a₁₇ =a + 16d = 72→ 1

a₅₁ = a + 50d = 208 →2

2-1

34d = 136

d= 4

a₁₇ = a + 16d = 72

72 = a + 64

a = 8

a₁₇₂ = a + (172-1)4

a₁₇₂ = 692

Of the 1800 students at riverside middle school,35% of them are in sixth grade. How many sixth graders are there

Answers

1800 times .35 is 630
There are 630 sixth graders

write a function to match the function machine
Multiply the input by -3, then
subtract 2

Answers

Answer:

The required function is:

f(x) = 3x - 2

Please check the attached graph.

Step-by-step explanation:

We need to write a function to match the function machine  multiply the input by -3, then  subtract 2.

Let 'x' be the input.

Multiply the input by 3 is: 3xSubtract 2: 3x - 2

Therefore, multiply the input by -3, then  subtracting 2 would give us the result:

f(x) = 3x - 2

Therefore, the required function is:

f(x) = 3x - 2

Please check the attached graph.

write a function to match the function machineMultiply the input by -3, thensubtract 2

What is the slope and Y intercept of the equation Y=9

Answers

Answer:

y-intercept = 9

slope = 0

Step-by-step explanation:

y = 9 is a horizontal line that passes through the point (0, 9).

The y-intercept is 9.

The slope is 0.

\(\huge\fbox{Hi~there!}\)

We are given the equation of the line: \(\rm{y=9}\) and asked to determine its slope and y-intercept.

The equation of this line is written in slope-intercept form (y=mx+b)

where b is the y-intercept of the line, and m is the slope.

Now, the big question is:

What is the slope and y-intercept of the line?

We need to take a look at the equation to find out.

As we can see, the slope is 0, and the y-intercept is 9.

I hope you find it helpful.

Feel free to ask if you have any doubts.

\(\bf{-MistySparkles^**^*\) here to help

Which of the functions does not have an inverse (is not one-to-one)?
A)f(x) = 7x-5
B) {(3,2), (4,0), (-3,2), (-4,-2)}
C){(0,-1), (4,0), (-8,4)}
D)f(x) = √x+1

Answers

Answer:

B

Step-by-step explanation:

2 repeats itsself twice for Y

2. Your bank account has $15 in it. You deposit $3 per day. How much money is in your account after 5 days?

Answers

Answer:

30 dollars. I think

Step-by-step explanation:

3x5=15

15+15=30

Note: Deposit means to put in!
The correct answer is 30 dollars.



How did I get my answer? Well I did:
$3 per day times 5 days which is $15. I then added that $15 to the $15 it already contained which was $30


—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————

A asked of friends if they thought the new Brand X that developed was effective. responded​ "yes." The used the results to write a TV advertisement claiming that ​" out of s prefer Brand X ​." Is this a valid​ inference? Explain.

Use pencil and paper. Explain all of the factors that are necessary for an inference to be valid.

Is the inference​ valid? Explain. Choose the correct answer below.

A.

​Yes, because s said yes out of who were asked.

B.

​No, because s said yes out of who were asked.

C.

​No, because the s asked are not a representative sample of the population of s.

D.

​Yes, because the s asked are a representative sample of the population of



please help me

Answers

Hinnjjjjjjjjjjjjjjjnniio obliges disco gnocchi

Answer:

​No, because the dentists asked are not a representative sample of the population of dentists. So basically C

Step-by-step explanation:

your welcome now where is my 5 star

So far Monica has read 56 of a book she has read the same number of pages each day for five days what fraction of the book does Monica read each day help me

Answers

Answer:

14/125

Step-by-step explanation:

56 % ÷ 5 days ie 11.2% per day ie 112/1000 or 14/125

hi, please help me, i really need it

thanks​

hi, please help me, i really need itthanks

Answers

Exterior Angle Inequality Theorem

\( \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}\)

Direction:

Use the Exterior Angle Inequality Theorem to find the measure of each angle below.

Answer:

\( \huge \underline{\boxed{\sf \red{ \angle C = 27^{\circ} }}}\)

\( \huge \underline{\boxed{\sf \red{ \angle D = 153^{\circ} }}}\)

Solution:

Add the ∠A and ∠B and minus it to 180° to know the measure of ∠C. To find the ∠D add only the ∠A and ∠B.

Finding ∠C

\(\large\tt{{180}^{\circ} = \angle A + \angle B + \angle C}\)

\(\large\tt{{180}^{\circ} = {35}^{\circ} + {118}^{\circ} + \angle C }\)

\(\large\tt{{180}^{\circ} = {153}^{\circ} + \angle C }\)

\(\large\tt{{180}^{\circ} - {153}^{\circ} = \angle C }\)

\(\large\tt{{27}^{\circ} = \angle C }\)

\(\large{\boxed{\tt{\angle C = {27}^{\circ}}} }\)

Finding ∠D or ∠ACD

\(\large\tt{ \angle A + \angle B = \angle ACD }\)

\(\large\tt{ {35}^{\circ} + {118}^{\circ} = \angle ACD }\)

\(\large\tt{ {153}^{\circ} = \angle ACD }\)

\(\large{\boxed{\tt{\angle ACD = {153}^{\circ} }}}\)

\( \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}\)

\( \\ \)

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In the figure, the angles are formed by a transversal and two parallel lines. Which angles seem to be congruent?

In the figure, the angles are formed by a transversal and two parallel lines. Which angles seem to be

Answers

The angles are formed by a transversal and two parallel lines in the figure. By applying congruent angles and vertical opposite angle property, ∠1 ≅∠3 ≅ ∠5 ≅ ∠7; ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8. Therefore option B is correct.

Congruent angles are identical to each other and have the same measure. The angles formed by the transversal in corresponding corners are called corresponding angles and they are congruent.

Therefore, ∠1 ≅ ∠5, ∠3 ≅ ∠7----------(1)

At a vertex if two angles are opposite to each other, then they are vertically opposite angles, they are equal and congruent to each other.

Therefore, ∠1 ≅ ∠3, ∠5 ≅ ∠7----------(2)

Combining (1) and (2), we get:

∠1 ≅∠3 ≅ ∠5 ≅ ∠7
Similarly we can find,

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8.

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One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive

Answers

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Write the answer is (x,y) form

Write the answer is (x,y) form

Answers

The translation in the form (x,y) is  (-3, -10)

How to determine the translation that maps from T to T'?

In geometry, translation is a type of transformation that moves each point of a figure to a new location, while preserving the shape and size of the figure. A translation is defined by a displacement vector, which specifies the direction and magnitude of the movement.

T is the initial position of the object and T' is the image (new position) of the object after translation. We can use this equation:

T + translation = T'

translation = T' - T

translation = (6, -2) - (9, 8)

translation = (6-9, -2-8)

translation = (-3, -10)

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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9

Required:
Develop a confidence interval estimate of the population mean rating for Miami.

Answers

Answer: 6.8622 ; 8.1778

Step-by-step explanation:

Given the data:

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9

6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9

7 10 7 9 9 9 9

Assume a confidence interval of 95%

Using calculator :

The mean of the distribution (m) = 7.52

Standard deviation (s) = 2.314

Sample size),

Obtaining the t score ;

Degree of freedom (df) = (n-1) = 50 - 1 = 49

t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)

Margin of Error :

2.01 * s/√n = 2.01 * 2.314/7.0710678

Margin of Error (E) = 0.6578

Confidence interval:

(Mean - E) ≤μ≤ (mean + E)

(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)

6.8622 ≤μ≤ 8.1778

6x2 + 14 - 10x

What is the value of the expression when x = 5?
A.
170
B.
24
C.
114
D.
864

Answers

\(\lsrge\text{Hey there!}\)

\(\mathsf{6x^2 + 14 - 10x}\\\mathsf{= 6(5)^2 + 14 - 10(5)}\\\mathsf{= 6(\bold{25}) + 14 - 10(5)}\\\mathsf{= \bold{150} + 14 - 10(5)}\\\mathsf{= \bold{164} - 10(5)}\\\mathsf{= 164 - \bf 50}\\\mathsf{= \bf 114}\\\\\large\text{Therefore, your answer is: \huge\boxed{\mathsf{Option\ C. 114}}}\huge\checkmark\)

\(\large\text{Good luck on assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Help?.?.??? I’ll give brainliest to the first person who responses

Help?.?.??? Ill give brainliest to the first person who responses

Answers

Answer:

1. y=3x

2. y=1x

3. y=7x

4. y=1x+7

5. y=3x-3

6. y=12x+2

Step-by-step explanation:

Hope this helps!

Hi can someone please help me solve the following system of inequalities and state the coordinates in the solution setz

Hi can someone please help me solve the following system of inequalities and state the coordinates in

Answers

The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

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Hi can someone please help me solve the following system of inequalities and state the coordinates in

PLEASE HELP ITS URGENT ITS DUE IN 5 MIN PLEASE HURRY THANK YOU IM FAILING CURRENTLY TRYING TI GET A A

PLEASE HELP ITS URGENT ITS DUE IN 5 MIN PLEASE HURRY THANK YOU IM FAILING CURRENTLY TRYING TI GET A A

Answers

Answer:

C

Step-by-step explanation:

1/2(1/2)=1/4

Help help help!!! Can someone pls help me I’ll give brainliest!!!

Help help help!!! Can someone pls help me Ill give brainliest!!!

Answers

Answer:

Vertex: S

Sides: RS and TS

Ways: RST, TSR, or ∠S

Right angle

Brainly pleaseeeeeeeeeeeeee

the vertex of the angle is S the sides of the angle are R and TThe three ways to name the angle are Angle RST, Angle TSR and angle Sits is a right angle

Mark brainlist please

Record Examination) are normally distributed with a mean of 555 and a standard
deviation of 110. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score below 335.
The percentage of people taking the test who score below 335 is

Answers

Answer:

  2.5%

Step-by-step explanation:

You want the percentage below 335 if the distribution is normal with a mean of 555 and a standard deviation of 110, using the empirical rule.

Z score

The z-score of 335 is ...

  Z = (X -µ)/σ

  Z = (335 -555)/110 = -220/110 = -2

Distribution

The empirical rule tells you that 95% of the distribution is between Z = -2 and Z = 2. That is, 5% of the distribution is evenly split between the tails Z < -2 and Z > 2. Half that value is in each tail.

  P(X < 335) = 5%/2 = 2.5%

The percentage of people taking the test who score below 335 is 2.5%.

<95141404393>

In order to safely land, the angle that a plane approaches the runway should be no more than 15°. A plane is approaching Ottawa Macdonald–Cartier International Airport to land. It is at an altitude of 500 m and a horizontal distance of 3 km from the start of the runway. At what angle is the plane approaching and is it safe for the plane to land?

Answers

9514 1404 393

Answer:

  9.5°, yes

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...

  tan(α) = 500/3000 = 1/6

  α = arctan(1/6) ≈ 9.46°

The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.

_____

Additional comment

The usual descent angle for most commercial air traffic is 3°. Some airport geography demands it be different (steeper). A higher descent angle can put undue stress on the landing gear.

order the following decimals from least to greatest 3.21, 3.021, 3.12, 2.121

Answers

Answer:

2.121 ,  3.021 ,  3.12 , 3.21

Step-by-step explanation:

They're in ascending order, aka least to greatest. Just list the lowest number to the highest.

Answer:

2.121,3.021,3.12,3.21

Step-by-step explanation:

321/100, 3021/1000, 312/100, 2121/1000

3210, 3021, 3120, 2121

= 2.121, 3.021, 3.12, 3.21

During the 2005 football season Team Tackle beat Team Sack by 18 points their combined scores totaled 66. the individual team score
1. Team tackles score was ? Points
2. Team sacks score was ? Points

Answers

1. 40 points 2. 21 points

What is the value of x?
Enter your answer in the box
39
X=
102°

What is the value of x?Enter your answer in the box39X=102

Answers

Answer:

x=39

Step-by-step explanation:

The interior angles add up to 180 degrees so you do 39+102, which is 141. Then you subtract 141 from 180 and then you get 39 degrees.

Correct answer:

39

Explanation:

The total value of the angles of the triangle is 180 so subtract 102 and 39 from 180.
180-39-102 = 39 :))

What is the domain of f(x) = 2|x - 3| + 1 ?

Answers

Domain: all reals, (-∝, ∝)

All inputs for x result in a solution.

5. A conical shaped pile of sand at the beach has a base circumference of 16.5 feet
and stands 10.4 feet high. The Department of Public Works is going to remove
75% of the sand. How much sand will be left in the pile after they remove 75% of
the sand?

Answers

Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

5. A conical shaped pile of sand at the beach has a base circumference of 16.5 feetand stands 10.4 feet
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