Three people, Adam, Becky and Charley, each lie 1/3 of the time at random, otherwise they tell the truth. A fair coin is flipped, and they all see it. They all say it is heads. What is the probability the coin was actually tails?

Answers

Answer 1
given:

[tex] \frac{1}{3} [/tex]

to find:

the probability of the coin.

solution:lie:

[tex]( \frac{1}{3} ) \times ( \frac{1}{3}) \times ( \frac{1}{3} )[/tex]

[tex] = \frac{1}{27} [/tex]

there's 1/27 chance of them to lie.

truth:

[tex]( \frac{2}{3} ) \times ( \frac{2}{3} ) \times ( \frac{2}{3} )[/tex]

[tex] = \frac{8}{27} [/tex]

there's 8/27 chance that all of them told the truth.

probability:

[tex]( \frac{8}{27} ) \div (( \frac{8}{27} ) + ( \frac{1}{27} ))[/tex]

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

therefore, between those two chances, it's an 8/9 chance it's actually Heads.


Related Questions

help me please please

Answers

Answer:

see below

Step-by-step explanation:

Standard equation for a circle with center h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

so for this one   center =  (1,2)   radius = 4

HELPPPP MEEEEE!!!!!!!

Answers

Answer:

Rounded:

596.05

OR

596.046

Raw:

596.046447754

Step-by-step explanation:

Solved with sci calculator

what’s the answer to this problem , figure out the area and perimeter of this triangle please and thank you

Answers

Answer:

P=2.66m

A=.3318m

Step-by-step explanation:

P=1.0+.79+.87

A=.79 * .84

The following sequence is an arithmetic sequence. [-9, -2, 5, 12,...]
Find the common difference and the next two terms.

Answers

Answer: The common difference is 7, and the next two terms are 19 and 26.

Step-by-step explanation:

Between -9 and -2 there is +7, same with between -2 and 5, as well as 5 and 12. Adding 7 to 12 again gets 19, and adding 7 to 19 gets 26 as well for the next two terms.

PLS HELP ASAP
Select the correct answer.
The parent function f(x)= 3T is transformed to g(x) = 2^x - 3). Which is the graph of g(x)?

Answers

The correct answer is B

Solve for x.
Your answer must be simplified.

Answers

X is x who doesn't know that

identify b on the following diagram not really important but 8 would love for someone to help me​

Answers

Answer: A origin

Step-by-step explanation:

Part of the population of 6,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 9 of them are infected. How many elk are likely to be infected?

Answers

When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

Calculation of the number of elk:

Since the population is 6,750.

The random sample is 50.

So here be like

[tex]6750[/tex] ÷ [tex]50[/tex] × [tex]9[/tex]

= 1,215

hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

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100 POINTS!! ANSWER CORRECT
The information in the table shows the average weekly temperatures in degrees Fahrenheit of four cities.

Which city’s data set is bimodal?
A. City A
B. City B
C. City C
D. City D

Answers

Answer:

City B

Step-by-step explanation:

Because it is the only one that makes sense.

i think the answer is b

A straw is placed inside a rectangular box that is 3 inches by 5 inches by 1 inches, as
shown. If the straw fits exactly into the box diagonally from the bottom left corner to
the top right back corner, how long is the straw? Leave your answer in simplest
radical form.

Answers

The length of the straw will be 5.91607 inches long in radical form.

What is Length of diagonal in cuboid?

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula

[tex]X^{2}= l^{2}+b^{2}+h^{2}[/tex]

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 3 inch , b= 5 inch , h= 1 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

[tex]X^{2}= l^{2}+b^{2}+h^{2}[/tex]

[tex]X^{2}= 3^{2}+5^{2}+1^{2}\\X^{2}= 9+25+1\\X^{2}= 35\\X= \sqrt{35}[/tex]

X= 5.91607 (in radical form)

Hence, the length of the straw will be  5.91607 inches.

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find the value using x

Answers

Answer:  8

Work Shown:

9/12 = (x+4)/(2x)

9(2x) = 12(x+4)

18x = 12x+48

18x-12x = 48

6x = 48

x = 48/6

x = 8

95. In your own words, define a parabola.

Answers

Answer:

The definition of a parabola is a symmetrical plane curve that forms when a cone intersects with a plane parallel to its side. A u-shaped graph of a quadratic function is an example of a parabola.

Step-by-step explanation:

hope this helps

have a good day<3

In an experiment, 16 babies were asked to watch a climber attempt to ascend a hill. On two occasions, the baby witnesses the climber fail to make the climb. Then, the baby
witnesses either a helper toy push the climber up the hill, or a hinderer toy preventing the climber from making the ascent. The toys were shown to each baby in a random
fashion. A second part of this experiment showed the climber approach the helper toy, which is not a surprising action, and then the climber approached the hinderer toy,
which is a surprising action. The amount of time the baby watched the event was recorded. The mean difference in time spent watching the climber approach the hinderer
toy versus watching the climber approach the helper toy was 1.22 seconds with a standard deviation of 1.58 seconds. Complete parts a through c.

Answers

The test statistic based on the information will be 2.74 and the degree of freedom is 15.

How to calculate the test statistic?

From the information given, the test statistic will be:

= 1.71/(1.71/✓16)

= 2.74

The degree of freedom will be:

= n - 1

= 16 - 1

= 15

In conclusion, there's no sufficient evidence to show that babies have the ability to assess surprising behavior.

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David is a statistician. he has a sample size of 40 (which he cannot change). what element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis? the mean of the population the mean of the sample the standard deviation of the population the significance level of the test

Answers

To minimize the probability that he incorrectly rejects the null hypothesis, David must change the (d) the significance level of the test

How to determine the true statement?

The sample size is given as:

n = 40

From the question, we understand that the sample size cannot be changed

This means that the standard deviation, and the mean cannot be altered too.

Since the value of the significance level is not constant, David can decide to adjust the significance level.

Hence, David must change the (d) the significance level of the test

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Answer:

d. the significance level of the test

Step-by-step explanation:

edge

Can someone please help me?

Answers

I think it would be no because it has the same number 0 in the input and output side which is a big no no

Please help! Ill give brainliest to best answer!

Answers

Answer:

(3, 6)

Step-by-step explanation:

Coordinates are written in the form (x, y), where x is the x-axis value that the point is in, in this case 3, and where y is the y-axis value, in this case 6.

would it be point (3,6) ?

(need answers asap!)
An earthworm farmer set up several containers of a certain species of earthworms so that he could learn about their lengths. The lengths of the earthworms provide information about their ages. The farmer measured the lengths of 25 earthworms in one of the containers. Each length was measured in millimeters.
Here are the lengths, in millimeters, of the 25 earthworms.
6 11 18 19 20 23 23 25 25 26 27 27 28

29 32 33 41 42 48 52 54 59 60 77 93
Complete the table for the lengths of the 25 earthworms.

Answers

The frequency table for the lengths of the 25 earthworms is shown in the image attached below.

What is a frequency table?

A frequency table is a type of table that is used to graphically represent the frequencies or relative frequencies associated with a categorical variable.

In this exercise, you're required to complete the frequency table for the lengths of the 25 earthworms as follows:

0 mm to 19 mm = 6, 11, 18, and 19.                         ⇒ Frequency = 4.20 mm to 39 mm = 20, 23, 23, 25, 25, 26, 27, 27, 28, 29, 32, and 33.   ⇒ Frequency = 12.40 mm to 59 mm = 41, 42, 48, 52, 54, and 59.   ⇒ Frequency = 6.60 mm to 79 mm = 60 and 77.                             ⇒ Frequency = 2.80 mm to 99 mm = 93.                                          ⇒ Frequency = 1.

In conclusion, the frequency table for the lengths of the 25 earthworms is shown in the image attached below.

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What does x=
And what is the angle

Answers

Answer:

70*

Step-by-step explanation:

Answer:

it would be 70 because the angles need to equal 360 degrees and the top of each I 138 so is the bottom so the sides will be 70

What is DNA?
Pls help I’ll mark brainliest

Answers

Answer: The hereditary substance in humans and virtually all other animals is DNA, or deoxyribonucleic acid. The DNA of nearly every cell in a person's body is identical.

Step-by-step explanation:

Answer:

Deoxyribonucleic acid

Step-by-step explanation:

DNA stands for Deoxyribonucleic acid, and it's a polymer composed of two polynucleotide chains, coilling around each

Work out the length of x

Give your answer rounded to 1 decimal place.
(diagram not drawn accurately

Answers

Answer:

7.3 cm

Explanation:

Given a right angle triangle, In order to find the third side: Use Pythagoras Theorem: a² + b² = c²

Insert values:

x² + 8.9² = 11.5²

x² + 79.21 = 132.25

x² = 132.25 - 79.21    (subtract)

x² = 53.04

x = √53.04                (square root)

x = 7.28285 ≈ 7.3     (rounded to 1 decimal place)

given:

11.5 cm

8.9 cm

to find:

the unknown value "x"

solution:

we'll have to use pythagoras theorem.

unknown value is x

[tex] {c}^{2} = {b}^{2} - {a}^{2} [/tex]

[tex] {x}^{2} = {11.5 }^{2} - {8.9}^{2} [/tex]

[tex] {x}^{2} = 53.04[/tex]

[tex]x = \sqrt{53.04} [/tex]

[tex]x = 7.282856582[/tex]

[tex]x = 7.3 \: cm[/tex]

These proteins identify and lock on to an antigen (pathogen) and then tell other parts of the body to destroy the germ

A. T Cells

B. Phagocytes

C. Antibodies

D. Lymphocytes

Answers

Answer:

Answer is D.

Lymphocytes.

Explanation.

How Does the Immune System Work? When the body senses foreign substances (called antigens), the immune system works to recognize the antigens and get rid of them. B lymphocytes are triggered to make antibodies (also called immunoglobulins). These proteins lock onto specific antigens.

Please Vote Me Brainliest. Thank You.

please help me with this assignment

Answers

Answer:

18

Step-by-step explanation:

area = length of one side² for a square

324 square feet = length of one side²

square root both sides to isolate the length of the side

√(324 square feet)= the length of the side = 18 feet

The population of lizards on one island is 4.05 million, and the population of lizards on another island is 2.1 million. What is the difference in the population of lizards on two islands

Answers

Step-by-step explanation:

the difference found is 4049997.9

Answer:

hi

Step-by-step explanation:

Simplify the expression

Answers

Step-by-step explanation:

[tex] \frac{ \cos(x) }{1 + \sin(x) } + \frac{ \cos(x) }{1 - \sin(x) } [/tex]

[tex] \frac{ \cos(x)(1 - \sin(x) + \cos(x) (1 + \sin(x)) }{1 + \sin(x))(1 - \sin(x) ) } [/tex]

[tex] \frac{ \cos(x) - \cos(x) \sin(x) + \cos(x) + \cos(x) \sin(x) }{1 - \sin {}^{2} (x) } [/tex]

[tex] \frac{2 \cos(x) }{ \cos {}^{2} (x) } [/tex]

[tex] \frac{2 \cos(x) }{ \cos(x) \cos(x) } [/tex]

[tex] \frac{2}{ \cos(x) } [/tex]

To solve 1/4÷8, Jordan thinks of dividing a pancake into 4 equal parts, dividing one of those parts into 8 equal pieces, and then eating one of those pieces.

What fraction of the pancake is Jordan thinking about eating?

Enter your answer as a fraction in simplest form by filling in the boxes

Answers

Answer: 1/32

Step-by-step explanation:

1st step:  1/4 divided by 8, which is 1/4 divided by 8/1

Then for the 2nd step, you have to find the reciprocal of the 2nd fraction, so you just reverse it

2nd step:  1/4 X 1/8

3rd step.  1X1/4X8 = 1/32

You can also think of it like this.  He started with 4 pieces.  Each piece was then divided into 8 parts.  So 8X4=32 is the total number of pieces.  He's only eating 1 of those, so he's only eating 1/32.

Answer:

1/32

Step-by-step explanation:

[tex]\displaystyle \frac{\frac{1}{4}}{8}=\frac{1}{4*8}=\frac{1}{32}[/tex]

So, Jordan is thinking about eating 1/32nd of the pancake

Find the sum of the infinite series below.




URGENT!!!!!!!!!!!!!!!!

Answers

B 64/7 I did the math it is b

HELP!!!

Given the relation: {(1,2),(2,3),(-1,3),(2,5)}
Determine what two points cause the relation to not be a function? Explain why these points cause the relation to not be a function.

Answers

Answer:  (2,3) and (2,5) cause the relation to not be a function

Explanation:

The input x = 2 leads to y = 3 and y = 5 at the same time for both points. A function is where any input x leads to exactly one y output only. So we'd need to get rid of one of those mentioned points to be able to have a function.

If you graphed the points on the same xy grid, then you'd see (2,3) and (2,5) vertically aligned. These two points cause the vertical line test to fail. This will give a visual indication we do not have a function.

Put another way, if x repeats itself then we don't have a function. The y value is allowed to repeat. So we could have something like (1,2) and (5,2) be part of a function.

A certain machine is to contain two wheels, one of radius 2 inches and one of radius 8 inches. The
manufacturer of this machine needs to produce a belt that will fit snugly around the two wheels,
as shown in the diagram below. How long should the belt be?

Answers

Answer:

62.83 in

Step-by-step explanation:

C is circumference

r is the radius

We sum up both, given first one radius is 2 and second one radius is 8, so we have:

The length of the belt should be around 62.83 in

Please help me find the area of compound shapes?!??!

Answers

Answer:

27cm²

Step-by-step explanation:

Chop the irregular shape into two rectangles!

(I divided by the inner corner next to the 5cm mark across to the side with no label at all on the left)

6x2=12 (longer rectangle)

5x3=15 (shorter rectangle)

12+15=27cm²

I hope this helps! :)

please help! click to see the picture

Answers

Answer:
Inequality 7n - 22 >= 64
Solution   7n > = 64 + 22
                7n >= 86
                  n => 12. 28 rounded down to 12
                     Grace must wash at last 12 cars

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