A box contains four red balls and eight black balls. Two balls are randomly chosen from the box, and are not replaced. Let event B be choosing a black ball first and event R be choosing a red ball second. What are the following probabilities? P(B) = ✔ 8/12 P(R | B) = ✔ 4/11 P(B ∩ R) = The probability that the first ball chosen is black and the second ball chosen is red is about percent

Answers

Answer 1

Answer:

P(B) = 8/12

P(R | B) = 4/11

P(B ∩ R) = 8/33

The probability that the first ball chosen is black and the second ball chosen is red is about  24 percent.

Step-by-step explanation:

I just got it right on edge 2020. Good luck with school!!

Answer 2

The probability that the first ball chosen is black and the second ball chosen is red is about percent is 66.67%.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, a box contains four red balls and eight black balls.

Let event B be choosing a black ball first and event R be choosing a red ball second.

Here, total number of outcomes = 4+8 =12

P(B) = 8/12 and P(R)=4/12

We know that, P(R|B) =P(R∩B)/P(B)

Here, P(R∩B)= 8/12 × 4/12

= 2/3 × 1/3

= 2/9

So, P(R|B) =2/9 × 12/4

= 2/3 ×100

= 66.67%

Therefore, the probability that the first ball chosen is black and the second ball chosen is red is about percent is 66.67%.

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Related Questions

A regular hexagon has a perimeter of 127 m. Find its area to the nearest tenth.

Answers

Answer:

1164.01

Step-by-step explanation:

First you realize there is 6 sides on a hexagon. Then, you divide the 127 by 6. Then you split the hexagons into 6 parts. This leads you to a triangle. Then if you divide the degrees so 360 total degrees/6 parts = 60. If you split that triangle in half, the angle becomes 30 degrees. Then you will realize the 30 degree is pointed at the 127/12. Because you know the x, (x)(Square root 3), 2x theorem (the 30, 60, 90 triangle), you get the height of the triangle which is about 18.33 . Then you do the area of Triangle = 1/2 * base * height. Therefore you should get 194.00 Because there is 6 parts to a hexagon, you then need to multiply by 6. Your final answer should be 1164.01. This should be correct, please correct me if I’m wrong, thanks.

Solve: 4 (x + 2.5) = 48

Answers

Answer:x=19/2

Step-by-step explanation:

4(x+2.5)=48

Step 1: Simplify both sides of the equation.

4(x+2.5)=48

(4)(x)+(4)(2.5)=48(Distribute)

4x+10=48

Step 2: Subtract 10 from both sides.

4x+10−10=48−10

4x=38

Step 3: Divide both sides by 4. 4x/4 = 38/4 = 19/2

Answer:

4(x + 2.5) = 48.

4x + 4 x 2.5 = 48.

4x + 10 = 48.

4x + 10 -10 = 48 -10

4x = 38

Divide both sides by 4.

X = 9.5.

X = 10 if approximated.

VERY URGENT PLEASE HELP!!!!

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $59,904. The variable costs will be $9.25 per book. The publisher will sell the finished product to bookstores at a price of $22.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answers

Answer:

4608

Step-by-step explanation:


HELPP!!!! ASAPfknfkdkcmf

Answers

Answer: A im pretty sure

Answer:

c

you can do this brooo(θ‿θ)(θ‿θ)(θ‿θ)

Mr. Moore planted a tree in his backyard. His tree grew 3 1/3 feet over five years. if his tree grew at the same rate each year, how much did the tree grow per year.

A. 1/5 foot

B. 1/3 foot

C. 3/5 foot

D. 2/3 foot

Answers

Answer:

D. 2/3 per year.

Step-by-step explanation:

3 1

3

÷ 5

=  

10

3

÷ 5

=  

10

3

×  

1

5

=  

10 × 1

3 × 5

=  

10

15

=  

10 ÷ 5

15 ÷ 5

=  

2

3

What is 3x73 I need some help.

Answers

Answer:

219

Step-by-step explanation:

The answer to your problem is 219

What is the measure of BPC?

Answers

Answer:

[tex]\angle BPC=100^{\circ}[/tex]

Step-by-step explanation:

Assuming P is the center of the circle:

The angle BPC encompasses arc BC. Notice angle CEB also encompasses this arc and the measure of angle CEB is given as [tex]50^{\circ}[/tex]. The measure of an angle with a point on the circle that encompasses an arc is equal to half of the measure of an angle with a point on the center of circle. Therefore, the measure of arc BPC is equal to [tex]2\cdot50^{\circ}=\boxed{100^{\circ}}[/tex]

What is the simplified form of the expression?

Answers

Answer:

4 sqaure root 24x^3/ 2x

Step-by-step explanation:

See steps below:)

Which describes the relationship between EG and DF 2 Select all that apply.
ty
F
E
21
ס
o
2
4
A
perpendicular
B bisect each other
C. parallel
D. congruent

Answers

Answer:

A  perpendicular

B bisect each other  

D. congruent

Step-by-step explanation:

Given

Attached quadrilateral

Required

Relationship between EG and DF

First, we have that: DEFG is a square

EG and DF are diagonals

Using the property of diagonals of a square, we have:

EG and DF to be perpendicular

EG and DF to be congruent

EG and DF to be bisect each other

Part 1 l: Jose and Tamika are married with three children . If they decided to combine their income taxes and complete one tax form , what is their filing status ? . Part 2: Jose makes $54,923 and Tamika has an earned income of $49,500 for the year. Using your answer from part 1 how much will they owe in taxes?

Answers

Answer:

that is you ni report kits

Need help please!!!!!!!!!!

Answers

Answer:

n=39

Step-by-step explanation:

I answered, now do the test on your own, no one likes a cheater

Please help me answer/figure this out please. No links

Answers

Answer c 12xy^2
Process
=12x^2y^3 + 24xy^2
=12xy^2(xy+2)
So common factors is 12xy^2

What's the translation notation from JKL to J'K'L? ​

Answers

Answer:

1 up 2 right or y+1 and x+2

Step-by-step explanation:

Find the measure of angle x

Answers

Answer:

Angle x would be equal to the sum of its two opposite angle

x= 47 + 110

x= 157°

Please help me solve this question

Answers

Answer:

The final answer is 78 inches, though I would recommend for you to read through the steps of how this is achieved.

Step-by-step explanation:

To start, to grasp the corresponding sides deal, think of it as saying Quad 1234 is equal to Quad ABCD. Now, it is fairly easy to make up the sides between the two shapes. With this, the following is true:

Side 12 ≅ Side AB

Side 23 ≅ Side BC

Side 34 ≅ Side CD

With the end, it loops back around to meet back at the first edge of the shape again, if you're looking for a side length.

Side 41 ≅ Side DA

Now, with the real stuff. We're greeted with the Quads DEFG and KLMN, and asked to find FG. Looking at it, FG would be using the 3rd and 4th letters of the set of quad edges. Comparing this to the other quad shape, the 3rd and 4th letters are MN. Therefore, lets use this.

Next, set these equal to each other. FG is 5y+3 and MN is 7y-27

5y+3 = 7y-27

5y = 7y-30

-2y = -30

2y = 30

y = 15

y equals 15.

Lastly, plug this into the equation for FG to get the final answer.

5(15)+3

75+3

78 inches

If you rotate a equilateral triangle by a side, what is the name of the resulting 3d shape

Answers

☞ANSWER☜

3D shapesCube CuboidSphere Square-based pyramidCylinder Triangular prismPentagonal pyramid Hexagonal prism

☞EXPLANATION☜

A solid of revolution is a three-dimensional figure obtained by rotating a two-dimensional figure (or curve) around a straight line (called the axis) that lies in the same plane. ... Since the triangle's interior is shaded, it creates the interior of the cone, creating a solid figure.

Three dimensional shapes are obtained by rotating the two dimensional shapes. When a circle is rotated we get sphere; when a triangle is rotated we get cone; when rectangle or square is rotated we get cylinder

PLEASE ANSWER ASAPP!!!

For what value of y must LMNP be a​ parallelogram?

Answers

Answer:

113° = y

Step-by-step explanation:

y = 180 - 67

y = 113°

Hope this helps!

the answer is 113°

the angles are supplementary

Which expression has the same value as 6 x 90? ​

Answers

Answer:

Step-by-step explanation:

There are no other expression here what are the answer options

Six chicken nuggets have 204 calories. How many calories are in 9 chicken nuggets

Answers

Answer:

306 calories

Step-by-step explanation:

By looking at the problem, we can conclude the number of chicken nuggets and the calories are directly related, when the amount of chicken nuggets go up, the calories also go up, proportionally. Because of this, we can set up an equation:

6 / 204 = 9 / x

Where x is the amount of calories in 9 chicken nuggets.

Now, we can simplify by cross multiplying:

6x = 1836

x = 306 calories

Answer:

306 calories

Step-by-step explanation:

A biased 4-sided dice is rolled. possible scores are 1,2,3 or 4. The probability of rolling a 1,3 or 4 is shown below. what is the probability of rolling a 2?

Answers

Answer:

0.2

Step-by-step explanation:

A probability is always out of 100% (which also means out of 1)

So the probability that the dice rolls a 1 is 0.15/1, the probability it rolls a 3 is 0.3/1 and the probability it rolls a 4 is 0.35/1. The probability it rolls a 2 is x/1 where x is what we're looking for. If you add all the probabilities up you should have 1 in total. So 0.15 + x + 0.3 + 0.35 = 1

So to find the missing one you need to subtract all the probabilities you know from 1:

1 - 0.15 - 0.3 - 0.35 = 0.2

The probability of the die rolling 2 is 0.2

What is probability?

Probability is a measure of the likelihood of an event occurring. The probability of all the events in a sample space adds up to 1.

Given here the probabilities are 0.15,0.3, 0.35

since the probabilities, all add upto 1

therefore P(2) = 1-(0.15+0.3+0.35)

                       = 0.2

Hence the probability that the die will roll 2 is 0.2

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7x+8y= 8

Slope

Y intercept

Answers

Answer:

Slope = -7/8

Y-intercept = (0, 1)

Step-by-step explanation:

Answer:

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

y- intercept= 1

Step-by-step explanation:

Rearrange the equation such that it is in the form of y=mx+c. This form is known as the slope-intercept form, and m is the gradient while c is the y-intercept.

7x +8y= 8

8y= -7x +8

Divide by 8 on both sides:

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

Thus, the slope is [tex] - \frac{7}{8} [/tex] and the y-intercept is 1.

Another way to find the y-intercept is to substitute x= 0 into the equation since the y-intercept occurs at x= 0.

7x +8y= 8

When x= 0,

7(0) +8y= 8

8y= 8

y= 8 ÷8

y= 1

Thus, the y-intercept occurs at y= 1 or the coordinate (0, 1).

Note: slope and gradient have the same meaning and can be used interchangeably


Gabriela bought 48 tickets in order to win the $1000 grand prize for the raffle organized by the Student Council. If there are
432 tickets sold for the raffle, what is the probability that Gabriela will not win the grand prize?

Answers

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

Since there are 432 tickets total and Gabriela bought 48, the chances of Gabriela not winning the grand prize is equal to the chance of any of the tickets she did not buy getting drawn. If she bought 48, then she did not buy 432-48=384 tickets. The chances of any of these being drawn is:

[tex]\frac{384}{432}=\boxed{\frac{8}{9}}[/tex]

Write 0.4 : 6 as a whole number ratio in it's simplest from.

Answers

______________________________________

The answer is 1/15.

______________________________________

Answer: 0.4 : 6 = 1 : 15

Step-by-step explanation: Change values to whole numbers.

Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.

We then have:

0.4 : 6 = 4 : 60

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 4 and 60 is 4

Divide both terms by the GCF, 4:

4 ÷ 4 = 1

60 ÷ 4 = 15

The ratio 4 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 4 :

4 : 60 = 1 : 15

Therefore:

0.4 : 6 = 1 : 15

can someone help me with this?<33

Answers

9514 1404 393

Answer:

  -35

Step-by-step explanation:

Replace F with -31 and do the arithmetic.

  C = 5/9(-31 -32)

  C = (5/9)(-63) = -35

The temperature in degrees Celsius is -35.

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8. If they have three children, what is the probability that exactly two of their three children will have that trait? Round your answer to the nearest thousandth

Answers

Answer:

0.384 = 38.4% probability that exactly two of their three children will have that trait.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have the trait, or they do not. The probability of a child having the trait is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8.

This means that [tex]p = 0.8[/tex]

Three children:

This means that [tex]n = 3[/tex]

What is the probability that exactly two of their three children will have that trait?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{3,2}.(0.8)^{2}.(0.2)^{1} = 0.384[/tex]

0.384 = 38.4% probability that exactly two of their three children will have that trait.

help(I need this to pass 6th)

Answers

Answer:

It is going to be the first one

The table represents a proportional relationship. Complete the table and write an equation that describes the relationship

Answers

Answer:

Which table?

There's non

Can you post the table.

Please someone please helps me with this question pls

Answers

I think it is y = -4x + 3

Plz help meeeeeeeeeeee

Answers

Answer:

kjk

Step-by-step explanation:

ddfv

3/4 maybe I’m not 100% sure

Which angle measure is equivalent to the angle 17π/4
A. 45 degrees
B. 135 degrees
C. 230 degrees
D. 315 degrees

Answers

Answer:

A is correct

Step-by-step explanation:

17*180=3060

3060/4= 765

765-360=405-360=45

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