Suppose a box contains 10 coins, where three of them are type-A and seven of them are type-B. The probability of head is 0.4 if we toss a type-A coin and 0.6 for a type-B coin. One person chooses one coin at random and tosses it three times. What is the probability that this coin is type-A if the outcome is two heads out of three tosses?

Answers

Answer 1

Answer:

0.222

Step-by-step explanation:

Given  that:

For Type A coins = 3

The probability of head in a type A coin i.e. (p) = 0.4

Then, the probability of getting a tail (q) = 1 - p = 1 - 0.4 = 0.6

For Type B coins = 7

The probability of head in a type B coin i.e. (p) = 0.6

Then, the probability of getting a tail (q) = 1 - p = 1 - 0.6 = 0.4

One person who tosses a coin three times get a probability of obtaining a head twice.

Using, the formula:

=[tex]^nC_r \times p^r \times q^{n-r}[/tex]

For Type A coin;

The probability of getting two heads in three tosses is:

[tex]= ^3C_2 \times 0.4^2 \times 0.6^{1}[/tex]

[tex]=\dfrac{3!}{2!(3-2)!} \times 0.4^2 \times 0.6^1[/tex]

= 0.288

For Type B coin;

The probability of getting two heads in three tosses is:

[tex]= ^3C_2 \times 0.6^2 \times 0.4^{1}[/tex]

[tex]=\dfrac{3!}{2!(3-2)!} \times 0.6^2 \times 0.4^1[/tex]

= 0.432

Since we have two heads out of three tosses, the probability that the coin is type A is = (P) of choosing coin A × (P) of obtaining two heads from three tosses) / total probability of getting two heads from three tosses.

However;

(P) of choosing coin A = 3/10 = 0.3

(P) of choosing coin B = 7/10 = 0.7

Given that, we obtain two head from three tosses, the (P) that the coin type is A is:

[tex]= \dfrac{(0.3 \times 0.288)}{ (0.3 \times 0.288 + 0.7 \times 0.432)}[/tex]

[tex]= \dfrac{(0.0864)}{ (0.0864 + 0.3024)}[/tex]

= 0.222


Related Questions

Vance used the associative property to write (4.5 m + StartFraction 7 Over 8 EndFraction) minus 9 as the equivalent expression 4.5 m (StartFraction 7 Over 8 EndFraction minus 9). Did Vance apply the associative property correctly? Why or why not?
Yes, the terms with variables should be written first.
Yes, the terms can be regrouped and still be equivalent.
No, the order of the terms should have been changed.
No, the addition symbol was dropped in the second expression.

Answers

Answer: D

Step-by-step explanation:

No, the addition symbol was dropped in the second expression is not correct.

What is Expression?

An expression is combination of variables, numbers and operators.

No, Vance did not apply the associative property correctly.

The associative property states that the grouping of terms in an expression can be changed without affecting the value of the expression.

However, in this case, Vance changed the order of the terms, but did not actually group them in a different way.

Additionally, Vance dropped the subtraction symbol in the second expression, which is incorrect.

The correct equivalent expression using the associative property would be:

(4.5 m + 7/8) - 9 = 4.5 m + (7/8 - 9)

From there, we could simplify the expression further, if needed.

Hence, No, the addition symbol was dropped in the second expression.

To learn more on Expressions click:

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pepper jackie has 7.5 bags of much to cover

Answers

Answer:

0.625 is equal to 5/8 bag,

Step-by-step explanation:

Answer:

Less Than 1 Bag

Step-by-step explanation:

I-Ready

Find the quotient
2/3 divided by 3 = _

Answers

Answer:

2/9 should be the answer.

Step-by-step explanation:

In this example, the first thing we have to do is convert 3 to a fraction so that we can work with it, so 3 with turn into 3/1. Now we set up the problem using the keep change flip method. You 2/3 as it is, and you change the sign to multiplication. Then you flip the second fraction which is 3/1 to get 1/3. Now you have 2/3 x 1/3. Now multiply them and simplify if possible.

2/9 I think so correct me if am wrong

-2x + 4>8 which number line shows the solution to the inequality

Answers

Answer:

The answer is D since it equals

x < -2

Answer:

Dw I gotchu. It's D because it' the most reasonable for this problem.

Reagan uses 2 3/4 cups of vinegar in her salad dressing recipe. How much vinegar would Reagan use to make 5 recipes?

Answers

Answer:

13 3/4

Step-by-step explanation:

2 3/4 is 11/4 when converted into an improper fraction.

5 is 5/1 when converted into a fraction.

11*5 is 55 (numerators)

4*1 is 4 (denominators)

55/4 is 13 with 3/4 remaining

13 3/4

The correct answer is 13 3/4

What's three digit number closest to 300 using 6, 2, 7, 3

Answers

Answer:

326

Step-by-step explanation:

Its hard to explain but you get the idea lol

You reflect triangle PQR, with vertices P(-2, -4), Q(-3, -1), and R(-4, -4), across the y-axis to get triangle P′Q′R′. What are the coordinates of triangle P′Q′R′?

Answers

Answer:

Step-by-step explanation:

If you reflect about the y-axis, only the x-coordinates reverse sign while the y-coordinates stay the same....

P'(2,-4), Q'(3,-1), R'(4,-4)


Due today by 7:00pm Plz help me will mark the brainiest

Answers

Answer:

It should be -36 because there are no parentheses if it was (-6)² then it would be 36 but since there are no parentheses its like -(6²) which is -36

Answer: the answer is -36

Given q(x)=3x and r(x)=x2.

What is (r∘q)(2)?
a. 36
b. 10
c. 12
d. 24

Answers

Answer:

36

Step-by-step explanation:

(r∘q)(2)=

= ((3x)^2(2)

=(3*2)^2

=6^2

=36

The following is a conversion table for hours and minutes. Which numbers belong in the hours column?

1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6

Answers

Answer:

Lesson 2 and metric conversions from Module 2. ... Problem 2: Convert hours to minutes. ... of minutes in one hour. How many minutes are in an hour? 0. 1. 2. 3. 4. 5. 6. 7. 8.

The complete table is given below. Then the correct option is C.

       Hours     Minutes

  2             120   3             180   4             240

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The following is a conversion table for hours and minutes.

We know that in one hour, there are 60 minutes.

In two hours, there are 120 minutes.

In three hours, there are 180 minutes.

Similarly, in four hours, there are 240 minutes.

Then the complete table is given below.

Hours     Minutes

  2             120

  3             180

  4             240

Then the correct option is C.

The complete question is given below.

The following is a conversion table for hours and minutes. Which numbers belong in the hour's column?

Hours        Minutes

                    120

                    180

                    240

More about the Algebra link is given below.

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Help ASAP WILL NSRK BRAINLIST IF CORRECT

Answers

Answer:

(1,1)

Step-by-step explanation:

the sum of four consecutive odd numbers is 48?

Answers

Answer:

The numbers are 9 + 11 + 13 + 15.

Step-by-step explanation: The equation for this is simple.

Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is  9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.

URGENT PLEASE HELP
Approximate the logarithm using the properties of logarithms, given
logb 2 ≈ 0.3562,

logb 3 ≈ 0.5646,
and
logb 5 ≈ 0.8271.
(Round your answer to four decimal places.)
㏒b(2b^3)

Answers

Answer:

kj gfbdhngfbd

Step-by-step explanation:

A recipe for biscuits says to mix 6 cups of flour with 2 cups of milk. How many cups of flour would you need for 3 cups of milk?​

Answers

Answer:

9 cups of flour

Step-by-step explanation:

6 / 2 = 3

3 • 3 = 9

Each year for 3 years, the time it takes you to run a mile decreases by 10 seconds. Find the total change time

Answers

Answer: 109.5

Step-by-step explanation: EACH year for three years would be 1095 if you  multiply 365 (each year) by 3 (the amount of years) and then divide that by 10. Im not entirely sure but I hope I helped

Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is
Benita now in terms of P?
A. 11/P + 6
B. P/11 + 6
C. 17 - P/6
D. 17/P​

Answers

Answer:

A) 11/P + 6

Let Ben’s age now be B

Anita’s age now is A.

(A - 6) = P(B - 6)

But A is 17 and therefore 11 = P(B - 6)

11/P = B-6

(11/P) + 6 = B

please make as brainleylist

Look at this NASA picture of a giant black hole and read the paragraph.
Credit: X-ray: NASA/CXC/SAO/A.Siemiginowska et al; Optical: NASA/STScI; Radio: NSF/NRAO/VLA)

Black holes cannot be seen without X-rays. If a telescope focuses on X-rays, we see a bright spot surrounding the black hole and a larger doughnut-shaped mass around that. The bright spot is gas, glowing at one million degrees. Any visible light it makes is absorbed by the doughnut-shaped mass of dust and gas around it. So we can only see it using X-rays. This is called a hidden or buried black hole.

What does the photograph show to support the paragraph?

a black hole seen in visible light without X-rays
a buried black hole that looks like a doughnut
million-degree gas inside a black hole
visible light and dust outside a black hole
(Giving brainlest)

Answers

The black hole shown in the photograph depicts the buried black hole that looks like a doughnut. Thus option B is correct.

What is the black hole?

A black hole is a  region of space that has a strong gravity whre nothing even light can eascepe its presence and acts as a black body that relfect no light.

The balck hole gravitational field are so strong that light canot eaxep this was forst consode by John michale. The black hole cannot be seen without X rays as they form a bright spot aroiund the black hole.

Find out more information about the black hole.

brainly.com/question/15620028

This is urgent please help!

Answers

Answer:

try the last one

Step-by-step explanation:

A mathematical model that estimates the average atmospheric concentration of carbon​ dioxide, C, in parts per​ million, x years after 1950 is

Answers

Answer:

C = 306 +1.3x

Step-by-step explanation:

In 1950 the average atmospheric concentration of carbon dioxide was 306 parts per million with an estimated increase of 1.3 parts per million every single year. Therefore we can use these numbers to create the following mathematical model.

C = 306 +1.3x

This model multiplies the number of years after 1950 (x) by the estimated carbon dioxide increase per year in parts per million, and finally adds the initial atmospheric concentration of carbon dioxide from 1950 to calculate the current atmospheric concentration of carbon dioxide

Fill in the blank to find the y-intercept.
(0,_____)

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

the y intercept is the point on the graph where the line crosses the x axis

The discount price of a hat is $18. What is the regular price? $



PLZ HURRY!!!!!

Answers

Was that the whole question?

Let C(t) be the amount of U.S. cash per capita in circulation at time 1. The table, supplied by the Treasury Department, gives values of C(t) as of June 30 of the specificd year. Interpret and estimate the value of C'(1980).

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

C'(t) was its time, in years, or t shift of cash per unit. That C'(1980) meaning, therefore, becomes the change of cashier's population to t = 1980.  

They could either use t = 1970 or t = 1990 to approximate the C'(1980) price. When using t = 1970:

[tex]C'(1980) = \frac{[C(1980) - C(1970)]}{[1980 - 1970]}\\\\[/tex]

              [tex]= \frac{(571 - 265)}{10}\\\\ = \$ \ 30.6 \\[/tex]

t = 1990:

[tex]C'(1980) = \frac{[C(1980) - C(1990)]}{[1980 - 1990]}[/tex]

              [tex]= \frac{(571 - 1063)}{ -10} \\\\= \$ \ 49.2[/tex]

A new LED light bulb uses 10 watts of power. Since energy = power × time , then the energy used for this light bulb can be found my multiplying the power times the time the bulb is lit. If the bulb is lit for one hour, the energy used will be 10 watt*hours or 10 Wh. If three 10 watt bulbs in one room are kept on for 5 hours, how many watt*hours of energy are used?

Answers

9514 1404 393

Answer:

  150 Wh

Step-by-step explanation:

We know the energy per bulb is 10 Wh per hour, so the total energy used by 3 bulbs in 5 hours is ...

  (10 Wh/(bulb·hour))×(3 bulbs)×(5 hours) = 10·3·5 Wh = 150 Wh

Solve the inequality 3(x+1)<18

Answers

Answer:

3(x+1)<18

3x+3<18

3x<15

x<5

Step-by-ste3(x+1)<1p explanation:

3(x + 1) < 18

First we have to apply the Distribution Property to the left side of the inequality.


3(x + 1) = 3(x) + 3(1)

3x + 3 < 18


Now we get the term 3x alone by subtracting 3 on both sides.


3x + 3 - 3 < 18 - 3

3x < 18


Now all we have to do is get x alone to find out what would be the values of x is. And since the number we are dividing by isn’t a negative, we don’t have to flip the sign.


3x/3 < 18/3


x < 6


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Which statement is true about function f, which is shown in the graph?
f(x)=x^6+10x^4-11x^2

Answers

The correct answer is The function is even.

To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.

Help? If you can.

Questions 5-9 ONLY

Answers

Answer:

My answer got deleted for some reason so lemme try again:

Answer:

5. A

6. B

7. 115

8. 97

9. 123

Step-by-step explanation:

5. Corresponding angles are angles that in the same position. Examples of corresponding angles in this diagram would be, <1 and 5, <2 and <6, etc

6. Supplementary angles add up to 180 degrees. Angles < and <3 (answer choice B) are vertical angles (angles who equal each other) so they are not supplementary angles

7. m<7 and m<2 are alternate exterior angles which means that they equal each other. Another example of this angle pair is m<1 and m<8

8. m<5 and m<3 are same side interior angles, which means that they add up to 180 degrees. Another example of this angle pair is <4 and <6

9. m<1 and m<6 add up to 180 degrees.

Is ABC a right angle? Why or why not?

Answers

Answer:

3.Yes, because triangle ABC has a 90 degree angle.

4.No, because triangle XYZ doesn’t have a 90 degree angle.

Angle measures and segment lengths. Algebra Find the value of each variable.

Answers

(9)

x ° = 1/2 (130° - 30°) = 50°

(due to a theorem about intersecting secants/tangents)

(11) The labeled angle subtends a minor arc of meaure 120°, which means the larger arc has a measure of 360° - 120° = 240°. Then

x ° = 1/2 (240° - 120°) = 60°

(due to the same theorem)

(13) The labeling here is a bit confusing. I'm not sure what the 70° is referring to. It occurs to me that it might be info from a different exercise, so that y ° is the measure of the angle made by the tangent to the circle with a vertex of the pentagon, and x ° is the measure of each arc that passes over an edge of the pentagon.

Each arc makes up 1/5 of the circle's circumferece, so

x ° = 360°/5 = 72°

The pentagon is regular, so each of its interior angles have the same measure of 108°. (Why 108°? Each exterior angle measures 360°/5 = 72°, since the exterior angles sum to 360°. Interior and exterior angles are supplementary, so the interior angles measure 180° - 72° = 108° each.)

The angles formed by the tangent to the circle are supplementary, so that

y ° + 108° + y ° = 180°

2y ° = 72°

y ° = 36°

help me I'm desperate I'm begging you please I'm about to break down help​

Answers

because 10/9 is greater than one the product of 3 2/3 and 10/9 is greater than 3 2/3 :))

George bought 7,5 cases of pancake mix for his diner. A case contains 12 1.3-pound boxes. How many pounds of pancake mix did george buy?

Answers

Answer:

7.5 x 12 = 90 to find out how many boxes

Then take the boxes x 1.3 = 117 pounds

Answer:

Déjà Vu

Step-by-step explanation:

i ve been reading this test before

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