A bag contains three dice, two of which are somewhat unusual: die A is a regular die whose faces show 1,2,3,4,5 and 6. Die B has a 4 on all 6 sides, and the faces of die C are2,2,4,4,6and 6. Suppose that a die is randomly selected, rolled, and comes up a 4. If the same die is rerolled, what is the probability that it is again a 4?

Answers

Answer 1

Answer:

i dont know

Step-by-step explanation:

Answer 2

Answer:

41/54

Step-by-step explanation:

I will provide the approach and work it out.  However, I am error prone, so check the arithmetic.

This is a Bayes Theorem problem.

Consider 3 "causes for a 4", Die A, B, or C, and an event, E.

The probability of each cause, given the event 4 is

[tex]P(A|4)=\frac{P(A)P(4|A)}{P(A)P(4|A)+P(B)P(4|B)+P(C)P(4|C)}[/tex]

[tex]P(B|4)=\frac{P(B)P(4|B)}{P(A)P(4|A)+P(B)P(4|B)+P(C)P(4|C)}[/tex]

[tex]P(C|4)=\frac{P(C)P(4|C)}{P(A)P(4|A)+P(B)P(4|B)+P(C)P(4|C)}[/tex]

Since the rolled die is chosen at random,

P(A)=P(B)=P(C)=1/3

Also, from the numbers on the faces of each die,

P(4|A)=1/6

P(4|B)=1

P(4|C)=1/3

Making all the substitutions, we get

P(A|4)=1/9

P(B|4)=6/9

P(C|4)=2/9

That these sum to 1 is promising (maybe I didn't make a mistake).

Next we must roll the die again and the probability of a 4 could be because the die is A, B, or C.  Thus, the desired probability is given by

P(A|4)P(4|A)+p(B|4)P(4|B)+P(C|4)P(4|C)

This evaluates to

(1/9)(1/6)+(6/9)(1)+(2/9)(1/3)=41/54


Related Questions

Sarah’s mom got her a Math tutor because she scored a 65 on her first math test. After getting some extra help, she scored a 69 on the second test, a 73 on the third test, and a 77 on the fourth test. If this pattern continues, on what test will Sarah score a 93?

Answers

Answer:

The eight test

Step-by-step explanation:

The sequence is

65, 69, 73, 77, 81, 85, 89, 93

Kiran and Clare like to race each other home from school. They run at the same speed, but Kiran's house is slightly closer to school than Clare's house. On a graph, their distance from their homes in meters is a function of the time from when they begin the race in seconds.

As you read the graphs left to right, would the lines go up or down?
What is different about the lines representing Kiran's run and Clare's run?
What is the same about the lines representing Kiran's run and Clare's run?

Answers

Answer:

1. Down.

2. Clare's line would be higher because she begun further away from her house.

3. The lines would have the same slope since they are going the same speed.

Step-by-step explanation:

HELP PLSSSSSS



Mallory bought pizza and soda for her End of Summer party. If she spent $12.57 on the
sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22?
Which equation models this scenario?
12.57 + 10.95 = 89.22
10.95x + 12.57 =
89.22
12.57x + 10.95 =
89.22
89.22x - 10.95 = 12.57

Answers

Answer:

10.95x + 12.57 = 89.22

Step-by-step explanation:

URGENT HELP! URGENT I WILL GIVE ALL OF MY POINTS

Answers

Answer:

false, true, false

Step-by-step explanation:

Answer:

|a| > |b|

Step-by-step explanation:

When you have absolute values you remove the negative from number.

So false true, false

A rectangle has a length of (5x+2) and a width of (3x-7). Find the perimeter of the rectangle.

Answers

Answer:

Perimeter = 2(5x-2)+2(3x-7)

Step-by-step explanation:

The perimeter (P) of any rectangle can be represented in terms of length (L) and width (W) with the equation P=2L+2W.

You multiply the length and width of the rectangle by two, since it's only giving one expression for the length and width.

Hope this helps!

hey click here and answer correct or i will report YOU !

Answers

9514 1404 393

Answer:

cabd

Step-by-step explanation:

1. √2 ≈ 1.414, √3 ≈ 1.732. The only rational numbers listed are 1.5 and 1.8. Of those, only 1.5 falls in the required range.

__

2. The remainder theorem tells you the remainder from the division will be the value of the dividend when x is -1/2. (x = -1/2 makes the divisor zero.) That value is ...

  8x²(x² -1) +7 = 8(1/4)(1/4 -1) +7 = 2(-3/4) +7 = 14/2 -3/2 = 11/2

__

3. The x-coordinate of 0 means the point lies on the y-axis.

__

4. Filling in the values of x and y, you find k to be ...

  2(2) +3(-1) = k = 1

Who's the 34th president of America​

Answers

Answer:

Dwight David Eisenhower

Answer:

Dwight D. Eisenhower is the 34th president of America. He served as president for 2 terms, from 1953 to 1961.

Mathematics Question,

Answers

Answer:

put a line straight through the middle of the angle

Step-by-step explanation:

Answer:

A line through the center of the angle

Step-by-step explanation:

The "angle bisector" is a line that will cut the angle perfectly in half.

Can someone please help me with this show work bc I don’t understand this I’ll give brainliest

Answers

Answer: 9

[tex]\frac{30a^{6}b^{10} }{12a^{11}b^{6} }=\frac{5b^{4} }{2a^{5} }[/tex]

but [tex]\frac{30a^{6}b^{10} }{12a^{11}b^{6} }=\frac{5b^{m} }{2a^{n} }[/tex]

=> m = 4

    n = 5

=> m + n = 4 + 5 = 9

Step-by-step explanation:

Given the parent function f(x) = x3 give the best description of the graph of .
a.
translated up 3 units
c.
translated left 3 units
b.
translated down 3 units
d.
translated right 3 units



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

Answer: A

Step-by-step explanation:

Each circle counts as one whole, Write a mixed number giving the amount shaded. Then, write this amount as an improper fraction.​

Answers

Answer:

[tex]2 \frac{2}{5} [/tex]

[tex] \frac{12}{5} [/tex]

Step-by-step explanation:

As a mixed fraction, There are 3 circles with 5 pieces in each so our denominator will be 5

The number that is shaded is 2 whole circles so that is 10 and 2 out of 5 of last one.

The whole number is 2 and the fraction for the last circle is 2/5 so our mixed number is

[tex]2 \frac{2}{5} [/tex]

Now to find the improper fraction turn 2 into a fraction with 5 as a denominator.

[tex] \frac{2}{1} \times \frac{5}{5} [/tex]

Which equal

[tex] \frac{10}{5} [/tex]

Then add 2/5 to 10/5

[tex] \frac{10}{5} + \frac{2}{5} = \frac{12}{5} [/tex]

What is the first step to solve for 7 − 4 = 18? *


A. Add -7 on both sides of the equation

B. Add 7 on both sides of the equation.

C. Multiply -4 on both sides of the equation.

D. Multiply on both sides of the equation.​

Answers

A is the best answer

Graph: f(x) = 0.5^x- 3
Step 1: Calculate the initial value of the function.
f(0) =

Answers

The initial value of a function is the value of the function, when x = 0

The initial value of the function is -2.

The function is given as:

[tex]\mathbf{f(x) = 0.5^x - 3}[/tex]

To calculate the initial value, we simply substitute 0 for x.

So, we have:

[tex]\mathbf{f(0) = 0.5^0 - 3}[/tex]

Evaluate the exponents

[tex]\mathbf{f(0) = 1 - 3}[/tex]

Subtract 3 from 1

[tex]\mathbf{f(0) = - 2}[/tex]

Hence, the initial value of the function is -2.

Read more about functions at:

https://brainly.com/question/16863582

Answer:

See picture

Step-by-step explanation:

¹½ x 2⅓=

1⅐ x ⅘=

⅞ x 3¼=

1⅔ x 1¼=

3¾ x 2⅖=

6⅔ x 3(small 10)

I NEED HELP :(​

Answers

Answer:

i dont really know the question

Step-by-step explanation:

help quick plzzz!!!!
What is the quotient of 3/5 = 1/10? Solve using the number line and then select your answer on the next slide

Answers

Answer:

you would mark at 3/5.

Step-by-step explanation:

because 3/5 divided by 1/10 is 6.

then you would convert that to a decimal then fraction and that would end up being 3/5

please helo my screenshot below

Answers

Answer:

0.0451

Step-by-step explanation:

Answer:

451/10000 or 0.0451 in decimal form

Step-by-step explanation:

Hope this helps :)

There are 27
basketball players on the Greenland Basketball Team.
Of the 27 players, 1/9 of them are left-handed. How
many players are left handed? Be sure to show your

Answers

Answer:

3 players

Step-by-step explanation:

So, all you have to do is multiply 27 by 1/9 to get 3. Or, you could try figure out what number needs to be multiplied by 9 to get 27, which is also 3.

stubbom goats wo
[tex]rewrite \: the \: following \: sentence \: in \: the \: passive \: voice \\the \: people \: of \: zanzibar \: exetended \: a \: warm \: welcome \: to \: the \: tourists[/tex]

5.1.2
Rewrite the following sentence in the passe Voice
The people of Zanzar estender a warm watcome to the founsts​

Answers

Answer:

The people of Zanzar estender a warm watcome to the founsts​

Step-by-step explanation:

you said rewrite it so this should be your answer

1. The radius of a circle is 10 inches. What is the Circumference? Round to the nearest tenth.

Answers

Answer:

62.83 inches

Step-by-step explanation:

The circumference of a circle with a radius of 10 is 62.83.

In \triangle UVW,△UVW, \overline{UV}\cong \overline{WU}
UV

WU
and \text{m}\angle W = 31^{\circ}.m∠W=31

. Find \text{m}\angle U.m∠U

Answers

Answer:

Hi how are you doing today Jasmine

In triangle UVW, If m∠U = m∠W of a triangles then m∠U = 74.5° when m∠W=31°

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

The sum of all angles of a triangles should be equal to 180 degrees

Given that the angles opposite UV and VW are congruent.

So ΔUVW is an isosceles triangle.

Which is nothing but m∠U = m∠W

Since the measures of the angles of a triangle have a sum of 180, then

m∠U + m∠W + m∠V = 180

m∠U + m∠U + 31 = 180

Subtract 31 from both sides

2 m∠U = 180-31

2 m∠U =149

Divide both sides by 2

m∠U =74.5°

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

please help me ASAP!!!

Answers

Answer:

z = -3/2 , z = -1/2

Step-by-step explanation:

Given:

7z² + 8z + 3 = 3z²

Find:

Values of z

Computation:

7z² + 8z + 3 = 3z²

7z² + 8z + 3 - 3z² = 0

4z²+ 8z + 3 = 0

4z²+ (6+2)z + 3 = 0

4z²+ 6z + 2z + 3 = 0

2z(2z + 3) + 1(2z + 3) = 0

(2z + 3)(2z + 1) = 0

So,

z = -3/2 , z = -1/2

AB=
Round your answer to the nearest hundredth.

Answers

Answer:

AB ≈ 9.46

General Formulas and Concepts:

Math

Round

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA [Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ = 25°

Adjacent Leg = 4

Hypotenuse = AB

Step 2: Solve for AB

Substitute in variables [cosine]:                                                                       sin25° = 4/AB[Multiplication Property of Equality] Multiply AB on both sides:                   ABsin25° = 4[Division Property of Equality] Isolate AB:                                                      AB = 4/sin25°Evaluate:                                                                                                           AB = 9.46481Round:                                                                                                               AB ≈ 9.46

A 17 foot ladder is placed against a vertical wall so that the base of the ladder is 8 feet from the base wall how far up the wall does the ladder reach

Answers

Answer:

Your answer......15 feet

WANT MORE THEN FOLLOW ME, LIKE & MARK MY ANSWER AS BRAINLIST ANSWER

texto expositivo de el derecho a la educación​

Answers

Answer:

Step-by-step explanation:

El derecho a la educación es un derecho humano que tiene como finalidad establecer una educación primaria para todos los niños y niñas, desarrollar una educación secundaria accesible progresivamente a todos los niños y niñas y el acceso a la educación superior en función de los méritos.

need help asap plzzzz

Answers

The answers for this question is D

what is the value of 3-6(z-2) if z=-2

Answers

Answer:

27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

3 - 6(z - 2)

z = -2

Step 2: Evaluate

Substitute in z:                   3 - 6(-2 - 2)(Parenthesis) Subtract:      3 - 6(-4)Multiply:                              3 + 24Add:                                    27
Given :

z = - 2

To Find :

3 - 6(z - 2) = ?

Solution :

By substituting value of z = - 2 in 3 - 6(z - 2), we get :

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6((-2) - 2)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6(-2 - 2)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6(- 4)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 + 24[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 27[/tex]

[tex] \large \underline{\boxed{\bf{ 3 - 6(z - 2) = 27}}}[/tex]

Hence, value of 3 - 6(z - 2) = 27.

HELP ME PLEASEEEEE THIS IS SO HARD

Answers

#4 would be “right angles are congruent”

Answer:

4. Given

6. Definition of verticle angles

7. Algebra/part-whole-postulate/sum of interior angles in a triangle/CPTCTC (Corresponding parts of congruent triangles are congruent)

Step-by-step explanation:

number 4 is just...given because it shows that they're both right angles

6, it's literally the definition of verticle angles

7, since we know that angle TQU and angle RSU are congruent and angle QUT and SUR are congruent, if we subtract those from 180, that means those two angles also have to be congruent

Also, the two triangles are congruent by LA or ASA, so CPCTC would also work

Part-whole-postulate, same reasoning as algebra.

Sum of interior angles in a triangle, same as algebra.

Hope this helped, let me know if you have any questions.

Write the inequality for the graph.i

Answers

x ≥ 5

The arrow is going into the direction of numbers larger than that 5. Meaning that x (which the arrow stands for) is greater than 5 and 5 is less than the x. So that x (which the arrow represents), can be any number greater than 5.

But if you noticed the line underneath the symbol, it means x is ALSO greater than OR equal to that 5.

Instead of writing a regular symbol, I added “or equal to” (which is the line underneath) because the circle above the 5 on the graph is closed.

A closed circle is when the dot is filled in.
If it were an open circle (which is when there’s space in the center of the dot, so it would look more like an outline of a circle), it would be the regular symbol.

Closed circle: ≥ , ≤

Open circle: > , <

I hope that makes sense?

A line passes through the points (0, 2) and (1, 8). What is its equation in slope-intercept form?

Answers

Answer:

y=6x+2

Step-by-step explanation:

y=mx+b

-the y and x are variables and your going to want to leave them that way.

-m is the slope

-b is the y-intercept

after plotting your points and drwaing a line through them you get your final equation

what is the answer to this 2x - 5 = 7

Answers

Step-by-step explanation:

2x - 5 = 7

2x = 7 + 5

2x = 12

x = 12 / 2

x = 6

Hope it will help :)

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