Professor Rosencrantz flips a fair coin once. Professor Guildenstern flips a fair coin three times. What is the probability that Professor Rosencrantz obtains more heads than Professor Guildenstern

Answers

Answer 1

Answer:

9/13 = 0.6923

Step-by-step explanation:

We start by defining

A as event that head was flipped

B1 = event that coin is biased

B2 = event that it is unbiased

P(B1) = 3/5

P(B2) = 2/5

P(A|B1) = 3/4

P(A|B2) = 2/4 = 1/2

When we solve this using bayes theorem we have to find

p(B1|A) = [P(B1) x P(A|B1)]/[P(B1) x P(A|B1) + P(B2) x P(A|B2)

= 0.6 x 0.75 / 0.6 x 0.75 + 0.4x0.5

= 0.45/0.45+0.2

= 0.45/0.65

= 0.6923

please brainliest


Related Questions

What is the value of the expression below?

Answers

Answer:

D. 2

Step-by-step explanation:

Multiply the exponents to simply equation

5/3 * 1/5 = 5/15 = 1/3

8^1/3 = 2

Cube root of 8 is 2

Solve
x + y = 100 x -y = 10
Pair of Equation

Answers

x + y = 100

x - y = 10

_____________ +

( x + y ) + ( x - y ) = 100 + 10

2x + y - y = 110

2x = 110

x = 110/2

x = 55

_________________________________

x - y = 10

55 - y = 10

- y = 10 - 55

- y = - 45

y = 45

♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡

x = 55 ..**&**.. y = 45

What value of x would prove a || b (a parallel to b)? (Hint: Add consecutive interior angles to solve for x).

Answers

Answer:

x=8

Step-by-step explanation:

19x-13+6x-7=180

x=8

We have a || b (a parallel to b), the interior angle property. Therefore, the value of x would be 8.

What is the sum of interior angles of parallel lines?

The sum of all the interior angles of parallel lines is equal to 180 degrees.

We have a || b (a parallel to b), the interior angle property

19x - 13 + 6x - 7 = 180

25x - 20 = 180

25x=  200

x = 8

Therefore, the value of x would be 8.

Learn more about the interior and exterior angles here:

https://brainly.com/question/14173422

#SPJ2

The ratio of boys to girls in the class is 3 to 4. If there were 12 boys, how many girls were there?

Answers

Answer:

Step-by-step explanation:

let girls be x

3/4=12/x(do cross multiplication)

12*4=3x

48/3=x

16=x

therefore there are 16 girls

Answer:

16 girls

Step-by-step explanation:

Set up a proportion. Let x = the number of girls.

3 / 4 = 12 / x

Cross multiply:

3x = 48

x = 16

Joan works on commission for a furniture store. She gets a base pay of $80 a day plus 4 percent of the value of any merchandise she sells that exceeds a total of $400. Joan wrote the expression 400 + 0.04(t − 80), where t represents her sales total in dollars, to compute the total amount of money that she will make. For sales of $500 Joan calculated that she will make $416.80. Explain Joan's error by completing the correct expression and how much she will make.

Answers

Answer:

Total amount earned = $84

Step-by-step explanation:

The correct expression is

Total amount earned = 80 + 4% of (t - 400)

= 80 + 0.04(t - 400)

where,

t = her sales total in dollars

Total amount of money that she will make for sales of $500

Total amount earned = 80 + 0.04(t - 400)

= 80 + 0.04(500 - 400)

= 80 + 0.04(100)

= 80 + 4

= 84

Total amount earned = $84

when the crispy rice treats cool, mrs.williams cuts them into 30 equal pieces. she gives two-fifths of the treats will mrs.willimas take to school.

a. 18 treats

a. 19 treats

c. 14 treats

d. 16 treats

Answers

16 total treats is what she will take to school

Answer:

18 treats

Step-by-step explanation:

If she gives  2/5  of 30  = 12

so 3/5 of 30 is 18  (also 30-12 =18)

Tyra, Ella, Tran and Ann share equally in the rental of a car. If the total cost of the rental is C dollers which expression represents Tyras share of cost

Answers

Answer:

C/4

Step-by-step explanation:

The amount divided by the amount of people will show how much each person owes

Which statement best describe the sides of a rhombus? *
A) Is a parallelogram with four congruent sides
B) Is a parallelogram with only the two opposite sides congruent
C) Is a parallelogram with the opposite sides congruent but not parallel
D) Is a quadrilateral that does not have the properties of a parallelogram

Answers

Answer:

the option A is a correct ans .

A farmer sells 7.5 kilograms of apples and pears at the farmer's market. 3/4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

Answer: 1.87 kg of pears

Step-by-step explanation:

7.5 kg of both apples and pears were sold. 3/4 of this 7.5 kg is apples which means the amount of apples sold is:

= 7.5 * 3/4

= 5.63 kg of apples

The amount of pears sold would therefore be:

= Total amount sold - Amount of apples

= 7.5 - 5.63

= 1.87 kg of pears

Suppose that another outbreak has been detected. On Sept 1, there were 60 reported cases. A week later, there were 75 reported cases.


If the disease continues spreading exponentially, how many weeks after Sept 1 will 850 cases be expected? Round to the nearest weeks

Answers

Answer:

Cases will increase to 850 in half day

Step-by-step explanation:

Given

The number of reported cases increase from 60 to 75 in seven days (week)

rate of increase of cases = 75-60/7 = 15/7

Now, as per the exponential growth equation

[tex]P = P_0 * e^{r*t}[/tex]

Substituting the given values we get

[tex]850 = 60 * e^{\frac{15}{7} * t}\\e^{\frac{15}{7} * t} = 14.167[/tex]

Taking log on both sides we get

15/7 * t = 1.15

t = 1.15 *7/15

t = 0.537 days = half day

Mondo correctly finds the closest benchmarks for three numbers.


Three and StartFraction 6 over 25 EndFraction is closest to the benchmark 3

3.8 is closest to the benchmark 4

Three and four-ninths is closest to the benchmark Three and one-half


Which shows the numbers Three and StartFraction 6 over 25 EndFraction, 3.8, and Three and four-ninths in order from greatest to least?



Three and StartFraction 6 over 25 EndFraction, Three and four-ninths, 3.8


Three and StartFraction 6 over 25 EndFraction, 3.8, Three and four-ninths


3.8, , Three and StartFraction 6 over 25 EndFraction


3.8, Three and StartFraction 6 over 25 EndFraction,

Answers

Answer:

From greatest to least, the order is:

[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]

Step-by-step explanation:

Given

[tex]Closest\ Benchmark \to Number[/tex]

[tex]3\frac{6}{25} \to 3[/tex]

[tex]3\frac{4}{9} \to 4[/tex]

Required

Order [tex]3\frac{6}{25}, 3.8, 3\frac{4}{9}[/tex] from greatest to least

From the given parameters, we have:

[tex]3\frac{6}{25} \to 3[/tex]

[tex]3\frac{4}{9} \to 4[/tex]

This implies that:

[tex]3\frac{4}{9}\ >\ 3\frac{6}{25}[/tex] --- we know this from the nearest benchmark

Convert [tex]3\frac{4}{9}[/tex] to decimal

[tex]3\frac{4}{9} = 3.44[/tex]

By comparison;

[tex]3.8 >\ 3\frac{4}{9}[/tex]

Hence, the list is:

[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]

please help me with the step by step ​

Answers

Answer:

stay safe healthy and happy....

Step-by-step explanation:

This is the correct answer

Jess is building a skateboarding ramp in the shape of a triangular prism with the dimensions shown. If Jess wants to cover all faces of the ramp with plywood, how much plywood will he need? A triangular prism. The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet. The 2 triangular sides have a base of 3 feet and height of 4 feet.

Answers

Answer:

156 ft²

Step-by-step explanation:

Given :

The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet.

The 2 triangular sides have a base of 3 feet and height of 4 feet

We sum the area of each side:

Area of triangular side = 1/2 * base * height

Since there are 2 triangular sides :

Total area of triangular side = 2(1/2 * base * height)

Triangular side = 2 * 1/2 * 3 * 4 = 12 feet²

Area of rectangle sides = lengtb * width

Area 1 = 12 * 3 = 36 ft²

Area 2 = 12 * 5 = 60 ft²

Area 3 = 12 * 4 = 48 ft²

Total = 12 + 36 + 60 + 48 = 156 ft²

A committee consisting of 5-studnts is to be formed out of 10, of which 4-are females and 6-are males. How many committees can be formed if 3 males are to be included

Answers

Answer:

120 committees can be formed if 3 males are to be included

Step-by-step explanation:

Total members in the committee = 5

Out of 10 people, 6 are males and 4 are females

In committee of 5 people, 3 males are to be chosen out of 6 and 2 females are to be choses out of 4

Total number of outcomes = 4C2 * 6C3

Total number of outcomes = 6 * 20 = 120

Which unit rate is equivalent to the ratio 12 to 3?

Answers

Answer:

[tex]\frac{4}{1}[/tex]

Step-by-step explanation:

You can think of the ratio 12 to 3 as another fraction such as [tex]\frac{12}{3}[/tex].

If you want the denominator (bottom number) to be 1, you can divide 12 by 3 which equals 4.

Your new fraction would be [tex]\frac{4}{1}[/tex].

ASAP
-WILL MARK BRIANIST

Answers

Answer:

C and D

Step-by-step explanation:

If you find the percentage of 95% of 6 it will give you an answer of 5.7

.95 x.006 equals 0.0057

95x6 equals 570

0.95 x 6 equals 5.7

95/100 x 6 equals 5.7

An inground pool is 34 feet long and x inches wide. Its brick walkway is 4 feet wide around the pool. What expression represents the area of the brick walkway?

Answers

Answer:

[tex]A_w=238x-2176[/tex]

Step-by-step explanation:

From the question we are told that:

Length of pool [tex]L=34ft[/tex]

Width of Pool [tex]W=x[/tex].

Brick walkway Width [tex]W_b=4[/tex]

Generally the expression for a Area of pool is mathematically given by

 [tex]A=L*W[/tex]

 [tex]A=34*x[/tex]

 [tex]A=34x[/tex]

Generally the expression for a Area of pool + Walkway is mathematically given by

 [tex]A'=L'*B'[/tex]

where

 [tex]L' =L+2(W_b)[/tex]

 [tex]L' =34+2(4)[/tex]

 [tex]L'=34+8[/tex]

 [tex]L'=272[/tex]

And

 [tex]W'=W+2(W_b)[/tex]

 [tex]W' =x+2(4)[/tex]

 [tex]W' =x+8[/tex]

Therefore

 [tex]A'=L'*B'[/tex]

 [tex]A'=(272)*(x+8)[/tex]

 [tex]A'=272x+2176[/tex]

Generally the expression for a Area of Walkway is mathematically given by

 [tex]A_w=Area\ of\ Pool+Walkway-Area\ of\ Pool[/tex]

 [tex]A_w=A'-A[/tex]

 [tex]A_w=272x+2176-34x[/tex]

 [tex]A_w=238x-2176[/tex]

A set of 3 erasers costs $1.68. At this price rate, how much would 10 erasers cost?​

Answers

Answer:

$5.60

Step-by-step explanation:

1.68/3 = .56

10 x .56 = 5.6

Answer:

$5.60

Step-by-step explanation:

1.68 / 3 = 0.56

This is the cost of one eraser.

Now, to find the cost of ten, all we have to do is:

0.56 x 10 = $5.60

Hope i could help :)

What is 63,998 in expanded form?

Answers

Answer:

60,000    3,000  900     90     8

Step-by-step explanation:

Answer:

60,000+3,000+900+90+8

Step-by-step explanation:

I used go ogle

Which relation is a function?


{(5, 0), (0, 1), (5, 2), (4,4)}

{(0, 1), (−4, 1), (4, 2), (−4,−1)}

{(3, 2), (2,1), (−1, 2), (3,3)}

{(1, 2), (2,4), (−1, 2), (0,3)}

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

D) {(1, 2), (2,4), (−1, 2), (0,3)}

»»————- ★ ————-««  

Here’s why:  

A function is a relation in which one element of the domain is assigned to exactly one element of the range. This means that the domain (x) values must not repeat.

⸻⸻⸻⸻

Option A's answer is incorrect, as the domain value of '5' repeats.

{(5, 0), (0, 1), (5, 2), (4,4)}  

⸻⸻⸻⸻

Option B is not a function due to the repeating '-4' value.

{(0, 1), (−4, 1), (4, 2), (−4,−1)}

⸻⸻⸻⸻

The '3' in option C's given relation repeats.

{(3, 2), (2,1), (−1, 2), (3,3)}

⸻⸻⸻⸻

Option D is the correct answer, as there are no domain values that repeat.  

{(1, 2), (2,4), (−1, 2), (0,3)}

Therefore, option D is a function.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

please help i keep getting the wrong answer and it’s due soon

Answers

Answer:

I think its 967.22 (2dp) I'm sorry if it's wrong

Step-by-step explanation:

use formula 2*pi *r



Which is correct (only one answer)

A -No, because a honors student is less likely to have a public library card than a non-honors student.

B-No, because a non-honors student is less likely to have a public library card than an honors student

C- Yes, because a non-honors student is more likely to have a public library card than an honors student

D- Yes, because a honors is more likely to have a public library card than a non-honors student

Answers

D is the correct answer I believe.

It may seem like it’s A just by looking at numbers alone. But when you look at percentages and such most of the 120 honors students have library cards whereas less than half of the non honors students have library cards.

X^2 +14x+13=0 solve for X

Answers

(x+13) (x+1) —> x= -13 and x= -1

X=13,1

I hope this helped :)

I need answer Immediately!!!!!!

Answers

Answer:

Step-by-step explanation:

https://www.numerade.com/questions/write-the-equation-for-the-graph-that-is-shown-check-your-book-to-see-graph-3/

-98
Hope it helps you

Please help you guys I really need it!

Answers

Answer:

Undefined

Step-by-step explanation:

A vertical line doesn't have a slope since it doesn't run horizontally.

Answer:

0

Step-by-step explanation:

a straight line doesn't have a slope

I need answer immediately

Answers

Answer:

Answer is 1 minute

Step-by-step explanation:

The y-axis shows how many blocks and the the x-axis shows the time. So if he traveled 6 blocks, based on the graph, it took him 1 minute

It’s nothing you have to uiiiiiiiiuiiiiiiiiiiiiiiiiiiiiiiiiiiiuuiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Pythagorean theorem please show work thank you

Answers

Answer:

Step-by-step explanation:

I'm not too sure about this question but I think the whole width part is just bait/irrelevant

Which statement is always true about a regular polygon?

Answers

Answer:

All polygons have straight lines

Step-by-step explanation:

For a polygon to be 'regular' it must have all sides the same length and all interior angles the same.

the price of a photography machine in RS60000.find the price after inculding13%tax

Answers

Answer:

Rs. 67800

Step-by-step explanation:

Price of photograph = 60000 = 100%

Tax = x dollars = 13% of 60000

100% + 13% = 113% = 1.13

Multiply

1.13(60000) = 67800

To check, lets find 13% of 60000 and add to 60000

13% = 0.13

0.13(60000) = 7800

60000 + 7800 = 67800

Units = Rs

Rs. 67800

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the volume of the given prism. Round to the nearest tenth if necessary.

Answers

17m^3

Volume = Length x Height x Depth
Since it’s a essentially half a rectangle you divide the answer by 2.
V = 2 x 17 x 1 -> 34
34/2 = 17m^3
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