Suppose an urn has six balls, three red, two blue, and one yellow. On any draw from the urn, all balls in the urn are equally likely to be drawn. Suppose that two balls are drawn, in sequence without replacement, that is, the second ball is drawn without replacing the first ball in the urn. What is the probability that the second ball drawn is blue

Answers

Answer 1

Answer:

1 / 3

Step-by-step explanation:

Number of balls :

Red, R = 3 ; Blue, B = 2 ; Yellow, Y = 1

Total = 6

From two draws without replacement, probability that 2nd draw is blue :

Possibilities :

P(RB) or P(YB) or P(BB)

P(RB) = 3/6 * 2/5 = 6/30

P(YB) = 1/6 * 2/5 = 2 /30

P(BB) = 2/6 * 1/5 = 2 / 30

HENCE,

P(RB) + P(YB) + P(BB)

6/30 + 2/30 + 2/30 = 10/30 = 1/3


Related Questions

who can do this and how?

Answers

Answer:

C

Step-by-step explanation:

If we round up the 3/4 cup of sugar to 1 cup to make it easier, and then multiply by 2 because the 3/4 cup of sugar only makes half a dozen cupcakes, then we will get 2 cups of sugar which is an overestimate of how much is needed. If we multiply it again by 3 because he needs 3 times the amount of sugar, we get 6 cups of sugar because we rounded it up. Since we know 3/4 is less than 1, we can assume that 6 cups of sugar is more than needed.

O a Olivia went to a dance party. She paid $12 as an entry fee. Once inside the dance party, she paid $2 per snack. She started the night with $30 and spent all her money.

which of the following represents an equation that could be used to model this situation?

A) 2x +12=30
B) 30+2x+12=0
C)2x -12= -30
D)30/2x =12​

Answers

Answer: 2x + 12 = 30

12 is the initial fee, then x is the unknown variable. Since each snack costs 2 dollars, and we don't know how many she had, we can use the equation:

2x +                   12 =               30

|                           |                     |

snack          initial                total

fee                fee                 $ spent

This would be A hope this helps !!

Beth went shopping and withdrew an anverage of 25$ from her account every hour for 6 hours. What was the change in her account

Answers

Answer:

To solve this question we are going to multiply. So lets say that h represents hours, in this equation we have 6 hours, so 6h Beth spent 25 dollars per hour for 6 hours so we can substitute the h in 6h with 25, which will result in us multiplying,

6h

6(25)

= 150

Step-by-step explanation:

I hope this helps!

Which is a Quadratic ?
A. 2x+3
B. 5x-7
C. x2+3x+12
D. x2+4x+12
E. x3+x2
F. 1/x
G. 5-x2

Answers

Answer:7uu

lol

Step-by-step explanation:

ssssy6

Use the graphling tool to determine the true statements regarding the represented function check all that apply

Answers

Answer:

Adobe Family Tools

Step-by-step explanation:

can someone pls help!!

Answers

Answer:

see screenshot 1.

feel free to copy the graph.

f(0)=-5

notice that anything to the power of zero is one (because its dividing by itself). so we are left with A, -5

f(1)=-10

notice that anything to the power of 1 is just itself, so we multiply-5 by 2 here

A is negative, so the graph will be facing down

the value of B is is greater than 1, meaning the graph will be growing [down].

Part B

see screenshot 2 everything is flipped over the y-axis

Part C

see screenshot 3. remember what "to the power of zero" and "to the power of one" means

hope it helps. greetings from Europe

Which number line shows the solutions to 1/2x – 2 > 0? Iready

Answers

The last number line is the correct one.

Explanation:

(1/2)x - 2 > 0
(1/2)x > 2
x > 4

The last number line represents this value of x and so is the answer.

Calculate the circumference of a circle with a radius of 14 cm.

Answers

Answer:

Step-by-step explanation:

circumference of a circle=2πr

=2*3.14*14

=28*3.14

=87.92 cm

A.)19
B.)132
C.)48
D.)21

Answers

Answer:

Hello! answer: 48

Step-by-step explanation:

3 × 19 - 9 = 48

7 × 19 - 1 = 132

48 + 132 = 180 so... 48 is the measure of ABC

Answer:

C.) 48

Step-by-step explanation:

I seem like it's multiple choice, I don't think you really need an explanation

Hey can anyone help me I am really stuck, Use exact values. NO DECIMALS they say

Answers

Answer:

x = 8

y = 4 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 30 = 4/x

x sin 30 = 4

x = 4 / sin 30

x = 4 / ( 1/2)

x = 8

tan theta = opp /adj

tan 30 = 4/y

y tan 30 =4

y = 4 / tan 30

y = 4 / ( 1/ sqrt(3))

y = 4 sqrt(3)

Answer and Step-by-step explanation:

To solve, we need to use Trigonometric Functions.

These functions include Sine, Cosine, and Tangent.

- Each one has its own rule to follow when solving.

θ = Angle

sin(θ) = [tex]\frac{Opposite.Side}{Hypotenuse}[/tex]

cos(θ) = [tex]\frac{Adjacent.Side}{Hypotenuse}[/tex]

tan(θ) = [tex]\frac{Opposite.Side}{Adjacent.Side}[/tex]

For this problem, we will only be using the trigonometric functions of Sine and Tangent.

Start by finding x.

sin(30) = [tex]\frac{4}{x}[/tex]

Multiply x to both sides.

x × sin(30) = [tex]\frac{4}{x}[/tex] × x

x(sin(30)) = 4

Divide both sides of the equation by sin(30).

x(sin(30)) ÷ (sin(30)) = 4 ÷ (sin(30))

x = [tex]\frac{4}{sin(30)}[/tex]

Simplify in calculator.

x = 8

Now find the value of y.

tan(30) = [tex]\frac{4}{y}[/tex]

Multiply y to both sides.

y × tan(30) = [tex]\frac{4}{y}[/tex] × y

y(tan(30)) = 4

Divide both sides of the equation by tan(30).

y(tan(30)) ÷ (tan(30)) = 4 ÷ (tan(30))

y = [tex]\frac{4}{tan(30)}[/tex]

Simplify in calculator.

y = [tex]4\sqrt{3}[/tex]

x = 8

y = [tex]4\sqrt{3}[/tex]

^ These are the answers.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Part 3 Last part Jim Homework Algebra

Answers

Answers:

11.  D) There appears to be an association between the variables. Since the teams with animal mascots win 74% of their games played and those with another type of mascot only win 49% of their games, the large difference suggests an association.12. A) 913. D) There appears to be an association. Since there is a difference in percentages for modern and classical styles for the type of art.14. D) 59%15. A) 60%

=================================================

Explanations:

11. If the columns were identical (or nearly so) then that would suggest there isn't any association. However, the columns are different so it's likely we have association going on. Changing the mascot type appears to have an effect on whether the team wins or loses. In other words, the variables appear to be dependent.12. Let x be the missing value in the table. Solve the proportion x/18 = 27/54 and you should get x = 9. If 9 goes in that table, then it will produce identical row relative frequencies (and identical column relative frequencies as well) which would then lead us to conclude that there probably isn't any association between the variables.13. This is similar to problem 11. The columns being different percentages shows that changing the art style changes the make up of the sculptures and paintings. 14.  There are 37+54 = 91 people who prefer the beach (instead of skiing). Of this total, 54 are away from the coast. So roughly 54/91 = 0.59 = 59% of the beach-goers are away from the coast.15. Same idea as the previous problem. We have 24+36 = 60 people who like to ski, and 36 people are away from the coast. So 36/60 = 0.60 = 60% of the skiers are away from the coast.

The function f(x) = –x2 – 4x + 5 is shown on the graph.

On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0).
Which statement about the function is true?

The domain of the function is all real numbers less than or equal to −2.
The domain of the function is all real numbers less than or equal to 9.
The range of the function is all real numbers less than or equal to −2.
The range of the function is all real numbers less than or equal to 9.

Answers

Answer:

the last one : the range of the function is all real numbers less than our equal to 9.

Step-by-step explanation:

it is a parabola that opens up only down. that means all the calculated y-values go deeper and deeper into lower and negative values the more right or left we go on the x-axis.

the maximum y-value we have at the vertex with y=9. no other x-value can generate a bigger y-value.

that's why the last answer option is right.

help lol
question 1 and 2
15 points

Answers

Answers:

Choice B) y = (1/4)xThe unit rate is  3.89   dollars per pound. It costs  23.34   dollars for a turkey that weighs 6 pounds.

=====================================================

Explanations:

Direct proportional equations are always in the form y = kx, where k is some constant. In the case of choice B, we have k = 1/4. Visually, direct proportion equations are always straight lines and go through the origin.Divide $34.99 over 9 to get 34.99/9 = 3.88777 approximately. This rounds to 3.89, so it costs $3.89 per pound. That's the unit rate. Multiply this by 6 to get 6*3.89 = 23.34 which is the cost of the 6 pound turkey.

Answer:

1) B

2) 17 1/3

Step-by-step explanation:

1)

It's B because a proportional relationship doesn't add a number at the end.

It's on y = kx, where k = 1/4 in this case.

2)

9x = 35

x = 3 8/9

6x = 17 1/3

Write a variable expression for this phrase,
"The product of 10 and a number."
(U can use any variable)
And
" a number m increased by 250"

Answers

Answer:

▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄  

ᵗᵒᶠᵘ ˡᵒᵍᵍᶦⁿᵍ ᵒⁿ…

⊹˚ʚ ❑Answer︰mx10=product of 10 and a number, m+250=a number increased by 250

      ✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D

ᵗᵒᶠᵘ ˡᵒᵍᵍⁱⁿᵍ ᵒᶠᶠ...

▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄

Step-by-step explanation:

Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent? (a divided by b) divided by 100
(b divided by a) divided by 100
100 (a divided by b)
100 (b divided by a)

Answers

Answer:

100(a/b)

Step-by-step explanation:

Fraction

a/b

To a percent

100(a/b)

Answer:

100(a/b)

________________

took the test review

(got 100%)

help please, i don’t understand and i need to show work.

Answers

Answer:

Step-by-step explanation:

a = 1  ;  b= -6

Plug in the value of a and b in the equation

[tex]x = \frac{-b}{2a}\\\\= \frac{-(-6)}{2*1}\\\\= \frac{6}{2}\\\\= 3[/tex]

how do i do this i don’t know how

Answers

Step-by-step explanation:

3^-5= 1/3^5

9^-3=1/9^3

3^-4=1/3^4

Answer:

Step-by-step explanation:

3^-5 = 1/ 3 ^5 = 1/243

9^-3 = 1/9^3    = 1 /729

3^-4 = 1/3^4

For any number which has a negative power there will be a 1 as the numerator and the number with its power as the denominator

$300 at 5% annual interest for 7 years
Find the simple interest earned in the account.
A. $214.29
B. $11.67
C. $420.00
D. $105.00

Answers

B is the correct answer to this question

5.(MC)
A rectangle has a length of 5/16 inches and a width of 25 inches. Find the area of the rectangle. (2 points)

Answers

Answer:

2

Step-by-step explanation:

The area of a triangle is equivalent to its length multiplied by its width.

In this example, one way we can look at this is to make everything in terms of two. First, we know that

[tex]2^{4} = 16\\\sqrt[5]{2^{4}} = \sqrt[5]{16} \\2^{4 (1/5)} = \sqrt[5]{2^{4}}[/tex]

We can establish that last line because x^((y)^(z)) = x^(y*z), as is stated in exponent rules. Therefore, our area is

[tex]2^{4/5} * 2^{1/5} = 2^{4/5 + 1/5} = 2^{5/5} = 2^{1} =2[/tex]

Solve for x. Round to the nearest tenth, if necessary.
F
х
72
8.8
G

Answers

Answer:

2.8592933268

Step-by-step explanation:

tan(72) = 8.8/x

=> x = 8.8/tan(72) = 2.859293326849

The length of x is 3.

What is a right-angled triangle?

A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

According to the given problem,

Perpendicular = 8.8

Base = x

Let the Hypotenuse be h,

∅ = 72°

We know,

                sin∅ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]

            ⇒ sin72 = [tex]\frac{8.8}{h}[/tex]

            ⇒ 0.95 = [tex]\frac{8.8}{h}[/tex]  

            ⇒ 0.95h = 8.8

            ⇒ h = [tex]\frac{8.8}{0.95}[/tex]

            ⇒ h = 9.3

Now, applying Pythagoras theorem,

Hypotenuse² = Perpendicular² + Base²

⇒ 9.3² = 8.8² + x²

⇒ 9.3² - 8.8² = x²

⇒ x² = 9.05

⇒ x = √9.05

⇒ x = 3

Hence, we can conclude the value of x to be 3.

Learn more about right-angled triangle here: https://brainly.com/question/3772264

#SPJ2

Can someone plzzz use something to figure this out? I think u have to measure and these stuff but i dunknow so can sum1 do it for me. Tysmmmmmmmmmm and btw according to my math teacher this is due before 12:45 in the night and right now it’s 10:03 where I live so plz don’t waste anytime since I have so much time to finish it. Thanks so much like again and have a great day!

Answers

Answer:

See below

Step-by-step explanation:

An equilateral triangle has all sides the same length. A scalene triangle has all sides different lengths. An isosceles triangle has two sides the same length.

ABC: isosceles

DEF: scalene

GHI: equilateral

KJR: scalene

STU: equilateral

YXZ: isosceles

Hope this helps!

i think it’s on of the triangles

How would u define a cluster and an outliner?

Answers

Answer:

A cluster is defined as a group of information (data points and numbers) that are located close together

An Outlier is a number that does not fit in a graph or a data set, like it could be abnormally big or abnormally small.

A bag contains colored eggs.
2 eggs are pink
4 eggs are purple
2 eggs are orange
An egg will be randomly selected from the bag. What is the probability, in decimal form, that the egg selected
will be orange?

Answers

Answer:

.25

Step-by-step explanation:

2 eggs are pink

4 eggs are purple

2 eggs are orange

-----------------------

8 total eggs

P( orange) = orange eggs/ total eggs

                   = 2/8

                    = 1/4

                     = .25

At the middle avenue school 1/30 of the students are on track team the track coach offered to buy pizza or subs for everyone on the team Of the students whom the coach bought food 3/5 ordered pizza what fraction of students at middle avenue school are pizza

Answers

Answer:

[tex]Students = \frac{1}{50}[/tex]

Step-by-step explanation:

Given

[tex]Track = \frac{1}{30}[/tex]

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

Required

The fraction of students in the school that ate Pizza

To do this, we simply multiply the fraction of track students and those among them that ordered pizza.

So, we have:

[tex]Students = Pizza * Track[/tex]

[tex]Students = \frac{3}{5} * \frac{1}{30}[/tex]

[tex]Students = \frac{1}{5} * \frac{1}{10}[/tex]

[tex]Students = \frac{1}{50}[/tex]

What are the coordinates of the point on the directed line segment from (-6, -1)(−6,−1) to (6, -9)(6,−9) that partitions the segment into a ratio of 3 to 1?

Answers

Given:

A segments is from (−6,−1) to (6, -9).

A point divides the line segment into a ratio of 3 to 1.

To find:

The coordinates of the points.

Solution:

Section formula: If a point divides a line segment in m:n, then

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

The point divides the line segment in 3:1, so by using section formula, we get

[tex]Point=\left(\dfrac{3(6)+1(-6)}{3+1},\dfrac{3(-9)+1(-1)}{3+1}\right)[/tex]

[tex]Point=\left(\dfrac{18-6}{4},\dfrac{-27-1}{4}\right)[/tex]

[tex]Point=\left(\dfrac{12}{4},\dfrac{-28}{4}\right)[/tex]

[tex]Point=\left(3,-7\right)[/tex]

Therefore, the coordinates of the required point are (3,-7).

Callum wins £300 in a raffle .
He gives 5% of the 300 to charity
He uses the rest to buy clothes .
Work out how much money he spent on clothes

Answers

Answer:

5/100 x 300=15

300-15=285

A small swimming pool contains 6 kiloliters of water. How many liters of water does the pool contain?

Answers

the pool contains 6,000 liters of water

Answer:

6000

Step-by-step explanation:

There's 0.001 kiloliters in a liter

1kl=1000 liters

Each side of a square field is 14/3m, find its area.​

Answers

Answer:

Area = 21.7777 m²

Step-by-step explanation:

Side of the square = 14 / 3.

Area of the square = side²

→ (14/3)²

→ 196/9

→ 21.7777 m²

evaluate the expressions and match them to the integers.

Answers

Answer:

See below.

Step-by-step explanation:

-7(6) = -42

-1(-10) = 10

2(-5) = -10

-3(-14) = 42

-32/-4 = 8

-2(-2)(-2) = -8

what is the area of the composite figure

Answers

I think the answer should be 10π+ 10m2, because there is 2 semi-circles and one rectangle , and the rule to find area of a rectangle is length x width and the area of a semi-circle is πr2/2, I hope that helps
Other Questions
Why did the author introduce factors ofproduction before discussing land, labor andcapital?Ato help the reader understand whateconomic resources are before introducingthe three groups of economic resources.Bto help the reader understand the role ofeconomists before introducing what it is thateconomists studyto help the reader understand why there isdemand for certain inputs beforeintroducing the idea of input scarcityDto help the reader understand what goodsand services are before introducing howthose goods and services are brought about What multiplies to 18 and sums up to negative 19 li m u cho mn l thuyt ti chnh tin t A new student in your class is Belgian write the sentence he/she says to share this information.You have just met a new friend ask him/her about their occupation You have not seen your friend for a long time write the greeting you use when you see him or her.CAN ANYONE PLEASE HELP ME WITH THESE I PROMISE I WILL GIVE YOU BRAINLIEST An art teacher has a pack of 250 sheets of paper. The expression (25x4)+5 shows that the teacher gives each of the 25 students in an an art class 4 sheets of the paper for an art project and then uses 5 more sheets while helping students. How many sheets of paper does the art teacher have left in the pack Which of the following is a characteristic of a general partnership? a. The partnership has an unlimited life. b. The partners have co-ownership of partnership property. c. The partners have limited liability. d. The partnership is subject to federal income tax. Which of the following diagram is the correct electron dot diagram for AL An airplane travels 240 miles in 3 hours with the wind. The return trip against the wind takes 4 hours. What is the wind speed and the speed of the airplane in still air? The energies of the bonds broken in a certain reaction are greater than the energies of the bonds formed. Which one of the following statements about this reaction must be true?a. The reaction is endothermic.b. The reaction is exothermic.c. The reaction is spontaneous.d. The reaction is non-spontaneous. what happens to the particles in a substance when temperature rises Faisal tries to solve(x + 2)(x - 7) = 0Here is his working.(x + 2) = 0or(x - 7) = 0Answerx = 2orx=7Give a reason why his answer is wrong. What makes Rashema Melson such an exceptional student?She lives in a homeless shelter that houses over 800Apeople.BShe always does her homework even though she liveswith her mother and two brothers.C She graduated at the top of her class even though sheis homeless.DShe takes all of the hardest classes at school. 2 (x+4) =23.. ... .. Can anyone help me with this problem? 4x - 3 = 2x + 7 okay help me please [giving brainliest to best answer with step by step] Too much Carbon Dioxide in the atmosphere is a badthing. However, too little is also bad. Explain why it is importantfor Carbon Dioxide to always exist in the atmosphere. Give specific examples of what it is used for to support your response. p(x)= 0.75x +50 solve for x AcellusFind the missing side of this righttriangle.x714x= [?]Enter the number that belongs in the green box.Enter please help if you can