Suppose you have 3 bags. Two of them contain a single $10 bill, and the third contains a single $5 bill. Suppose you pick one of these bags uniformly at random. You then add a $5 bill to the bag, so it now contains two bills. The bag is shaken, and you randomly draw a bill from the bag without looking into the bag. Suppose it turns out to be a $5 bill. If a you draw the remaining bill from the bag, what is the probability that it, too, is a $5 bill

Answers

Answer 1

Answer:

1/2

Step-by-step explanation:

Number of bags = 3

number of bags with $10 bill initially = 2

number of bags with $5 bill initially = 1

assume :

event you pick a $5 bill at first draw = A

event you pick a $5 bill at second draw = B

hence : P ( A n B ) = 1/3 * 1 = 1/3

P( A ) = ( 1/3 * 1 ) + ( 1/3 * 1/2 + 1/3 * 1/2 )  = 2/3

therefore P( that the second drawn bill is $5 )

P( B | A ) = P(A n B ) / P ( A )

              = (1/3) / (2/3) = 1/2

Answer 2

The probability that it, too, is a $ 5 bill is 33.33%.

Since you have 3 bags, and two of them contain a single $ 10 bill, and the third contains a single $ 5 bill, supposing you pick one of these bags uniformly at random and you then add a $ 5 bill to the bag, so it now contains two bills, and the bag is shaken, and you randomly draw a bill from the bag without looking into the bag, supposing it turns out to be a $ 5 bill, if a you draw the remaining bill from the bag, to determine what is the probability that it, too, is a $ 5 bill, the following calculation must be performed:

3 bags = 2 with a 10 bill and 1 with a 5 bill 1/3 = 0.3333 0.3333 x 100 = 33.33

Therefore, the probability that it, too, is a $ 5 bill is 33.33%.

Learn more in https://brainly.com/question/13243988

Suppose You Have 3 Bags. Two Of Them Contain A Single $10 Bill, And The Third Contains A Single $5 Bill.

Related Questions

Which line segment has the same measure as ST?

RX
TX
SR
XS

Answers

Answer:

The answer is Line Segment SR.

A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective.

a. Suppose a sample of 865 floppy disks is drawn. Of these disks, 112 were defective. Using the data, estimate the proportion of disks which are defective.
b. Suppose a sample of 865 floppy disks is drawn. Of these disks, 112 were defective. Using the data, construct the 95% confidence interval for the population proportion of disks which are defective.

Answers

Answer:

a) 0.1295

b) The 95% confidence interval for the population proportion of disks which are defective is (0.1071, 0.1519).

Step-by-step explanation:

Question a:

112 out of 865, so:

[tex]\pi = \frac{112}{865} = 0.1295[/tex]

Question b:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 865, \pi = 0.1295[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1295 - 1.96\sqrt{\frac{0.1295*0.8705}{865}} = 0.1071[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1295 + 1.96\sqrt{\frac{0.1295*0.8705}{865}} = 0.1519[/tex]

The 95% confidence interval for the population proportion of disks which are defective is (0.1071, 0.1519).

For the function in the graph, find the values of f(-4), f(-1), and f(1).​

Answers

Answer:

f(-4) = -1

f(-1) = -4

f(1) = 4

Step-by-step explanation:

We need to find the y value for the x values

f(-4) means find the y value for x= -4

f(-4) = -1

f(-1) = -4

f(1) = 4

Can someone help me solve this problem ?

Answers

Answer:

B

Step-by-step explanation:

Since x= 3/4

To take the fraction on left hand side, inverse 4/3

Take π as denominator

Then cube root the entire equation on the left hand side.

Answer:

Step-by-step explanation:

what is the value of x

Answers

Answer:

c 112⁰

Step-by-step explanation:

cuz the triangle is the same and x is on a straight line so get 180 - 68 = 112

Answer:

the angle opposite to x is 61 degree (being alternate angle)

so

x+ 61 = 180(being linear pair)

or, x = 180 - 61

so, x = 119

the answer is 119(d).

I NEED THE ANSWER SOON PLEASE!!?!?! hopefully someone sees this

Answers

Answer:

1 and 1/25

Step-by-step explanation:

After running a mile a day over a period of two weeks, the average amount of weight loss is 2.5 pounds. A dietitian, who publishes health articles in a newspaper, states their new diet program helps with additional weight loss when combining their special diet with running a mile a day over a period of two weeks. Interested in studying the dietitian's article further, you ask friends who have tried the dietitian's new program and you determine their weight loss to be 3.0 pounds in a two week period, on average. As you set up a hypothesis test to determine if the dietitian's article is correct, what is the dietitian's claim?

a. Adults should run every day to lose weight.
b. The average amount of weight loss is less than 2.52.5 pounds.
c. The average amount of weight loss is greater than 3.03.0 pounds.
d. The average amount of weight loss is greater than 2.52.5 pounds.

Answers

Answer:

d. The average amount of weight loss is greater than 2.5 pounds.

Step-by-step explanation:

After running a mile a day over a period of two weeks, the average amount of weight loss is 2.5 pounds.

At the null hypothesis, we test if this mean is of 2.5, that is:

[tex]H_0: \mu = 2.5[/tex]

A dietitian, who publishes health articles in a newspaper, states their new diet program helps with additional weight loss.

With the additional weight loss, the dietitian claims that the mean is more than the value presented at the null hypothesis, that is, more than 2.5, and thus, the correct answer is:

[tex]H_1: \mu > 2.5[/tex]

And thus, the correct option is given by option d.

d) A movie time was 2hours. 10% of the time was taken advertisement. How long was the actual movie? ​

Answers

Answer:

108 minutes

Step-by-step explanation:

Lets say that M+A is the time of the movie and the advertisement, so;

M+A = 2

And we know that 10% of that time is advertisement, mathematically that is:

A = 0,1*2

So replacing the second equation in the first one we have;

M + 0,1*2 = 2

M = 2-0,1*2 = 1,8 hours

We can convert hours into minutes multiplying by 60

1,8h*60min/h = 108min

What is the quotient ? -4/2 divided by 2

Answers

Answer:

[tex]\frac{-\frac{4}{2} }{2} =-\frac{4}{2} *\frac{1}{2} =-\frac{4}{4} =-1[/tex]

Chris is buying new wood flooring for his house. The cost depends on the area of the floors.
Which is the dependent variable, and which is the independent variable?

Answers

Answer:

strong and fexible .

variable

A survey asked 50 students if they play an instrument and if they are in band.
1.25 students play an instrument.
2. 20 students are in band.
3. 30 students are not in band.
Which table shows these data correctly entered in a two-way frequency?

Answers

C, just look at the "Total" for each single information.

the values in the inner grid combine multiple informations.

The table shows these data correctly entered in a two-way frequency is table C.

What is Two way Frequency?

Two-way frequency tables show the potential connections between two sets of categorical data visually. The table's four (or more) inside cells contain the frequency (count) data, which is displayed above and to the left of the table's designated categories.

We have been the information 25 students play an instrument 20 are in a band 30 are not in a band.

So, the two way table is:

                                     Band            Not in Band       Total

Play instrument                20                   5                     25

Do not play instrument     0                     25                 25

Total                                  20                    30                50

So, Table C is Correct.

Learn more about two-way frequency here:

https://brainly.com/question/9033726

#SPJ7

what is the formula to solve midpoint

Answers

Answer:

(x1 + x2) , (y1+y2)

   2              2

Step-by-step explanation:

This graph shows a portion of an odd function.
Use the graph to complete the table of values.
X
f(x)
-2.
-3
-4
-6
DONE

Answers

9514 1404 393

Answer:

-2-1-2-3

Step-by-step explanation:

An odd function is symmetrical about the origin:

  f(-x) = -f(x)

So, ...

  f(-2) = -f(2) = -2

  f(-3) = -f(3) = -1

  f(-4) = -f(4) = -2

  f(-6) = -f(6) = -3

Answer:

-2  

-1  

-2

-3

I did it on edge2020 and got it right

A random sample of bolts is taken from inventory, and their lengths are measured. The average length in the sample is 5.3 inches with a standard deviation of .2 inches. The sample size was 50. The point estimate for the mean length of all bolts in inventory is

Answers

Answer:

[tex]L_x=5.3 inches[/tex]

Step-by-step explanation:

Average length [tex]\=x =5.3 inches[/tex]

Standard deviation [tex]\sigma=0.2 inches[/tex]

Sample size [tex]n=50[/tex]

Generally The point estimate for the mean length of all bolts in inventory is

[tex]L_x= \=x[/tex]

[tex]L_x=5.3 inches[/tex]

what equation shows a slope of 2/3 and a white intercept of 0, -2

Answers

y = 2/3 x - 2

Or

y + 2 = 2/3 ( x )

Answer:

y= 2/3x - 2

hope this helps :)

A study examines the relationship between being a registered nurse (yes/no) and passing a cultural competency exam (yes/no) among a group of 987 randomly selected employees at your hospital. What test would be appropriate to determine if there is an association

Answers

Answer:

The appropriate test to determine if there is an association between being a registered nurse and passing a cultural competency exam among a group of 987 randomly selected hospital employees is a:

Chi-square Test.

Step-by-step explanation:

The Chi-Square Test uses either a diagram (like a scatter plot) or a hypothesis test to show the existence of an association between two variables or statistically demonstrate that a relationship exists between the two variables.  Using the computed t-score, the significant association between two categorical variables can be measured and established.

If b < 0 and a/b > c/b, then what is the relationship between a and c?

Answers

Answer:

a < c

Step-by-step explanation:

Given inequality:

a/b > c/b

Since b is negative, when multiplied by b, the inequality changes to opposite direction:

b(a/b) < b(c/b)a < c

i will give brainliest help please

Answers

Answer:

SA = 52 square meters

Step-by-step explanation:

First, the equation I'll be using for this problem is SA=2(wl+hl+hw)! Our width is 4m, our length is 3m, and our height is 2m. To begin to solve this problem we are going to input these values in to the equation above.

SA = 2(4 × 3 + 2 × 3 + 2 × 4)

Next, we are going to multiply our values inside the parenthesis based on the PEMDAS strategy (if you have any questions about this, feel free to ask below :).

SA = 2(12 + 6 + 8)

Now, we can add our values inside the parenthesis.

SA = 2(26)

Finally, all we have to do is distribute the 2 outside of the parenthesis to inside the parenthesis.

SA = 52 square meters

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

HELP PLEASE!!!

Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected with oak wilt. They determined that they can use this exponential model to predict the number of trees that will be infected after t years.
f(t)=e^0.4t


Question:

Rewrite the exponential model as a logarithmic model that calculates the # of years, g(x) for the number of infected trees to reach a value of x.

Answers

The logarithmic model is:

[tex]g(x) = \frac{\ln{x}}{0.4}[/tex]

-------------

We are given an exponential function, for the amount of infected trees f(x) after x years.To find the amount years needed for the number of infected trees to reach x, we find the inverse function, applying the natural logarithm.

-------------

The original function is:

[tex]y = f(x) = e^{0.4x}[/tex]

To find the inverse function, first, we exchange y and x, so:

[tex]e^{0.4y} = x[/tex]

Now, we have to isolate y, and we start applying the natural logarithm to both sides of the equality. So

[tex]\ln{e^{0.4y}} = \ln{x}[/tex]

[tex]0.4y = \ln{x}[/tex]

[tex]y = \frac{\ln{x}}{0.4}[/tex]

Thus, the logarithmic model is:

[tex]g(x) = \frac{\ln{x}}{0.4}[/tex]

A similar question is given at https://brainly.com/question/24290183

Given the following coordinates complete the glide reflection transformation.​

Answers

9514 1404 393

Answer:

A"(-1, -2)B"(4, 0)C"(6, -3)

Step-by-step explanation:

The reflection over the x-axis is ...

  (x, y) ⇒ (x, -y)

The shift left 3 units is ...

  (x, y) ⇒ (x -3, y)

So, the two transformations together will be ...

  (x, y) ⇒ (x -3, -y)

  A(4, 2) ⇒ A"(1, -2)

  B(7,0) ⇒ B"(4, 0)

  C(9, 3) ⇒ C"(6, -3)

Exercise science researchers collecting data within their state noticed that teens who spend more time streaming videos spend less time exercising.


What are the explanatory variable and response variable for this relationship?


Explanatory variable: time spent exercising

Response variable: state of teen’s residence

Explanatory variable: time spent streaming videos

Response variable: time spent exercising

Explanatory variable: time spent exercising

Response variable: time spent streaming videos

Explanatory variable: state of teen’s residence

Response variable: time spent streaming videos


I think it is (B):
Explanatory variable: time spent streaming videos
Response variable: time spent exercising

Answers

Answer:

It is (B) ED2021

Explanatory variable: time spent streaming videos

Response variable: time spent exercising

Pls help

Minni is arranging 3 different music CDs in a row on a shelf. Create a sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R).

Answers

Given:

Minni is arranging 3 different music CDs in a row on a shelf.

To find:

The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R).

Solution:

We know that the total number of ways to arrange n items is n!.

Minni is arranging 3 different music CDs in a row on a shelf. So, the total number of ways is:

[tex]3!=3\times 2\times 1[/tex]

[tex]3!=6[/tex]

The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R) is:

{JPR, JRP, PJR, PRJ, RJP, RPJ}

Therefore, the required sample space is {JPR, JRP, PJR, PRJ, RJP, RPJ}.

Answer:

RPJ, JPR, PRJ, JRP, RJP, JPR.

Step-by-step explanation:

a bridge costs 94,500 to repair. if the state pays twice as much as the city, how much did each pay?

Answers

they each payed 94,500 if each payed twice as much

3. An elevator is moving upward with a speed of 14.3 m/s . Two seconds later, the elevator is still moving upward, but its speed bas been reduced to 3.7 m/s . What is the average acceleration of the clevator during the 2.0 interval?

Answers

By definition of average acceleration,

a (average) = (3.7 m/s - 14.3 m/s) / (2.0 s) = -5.3 m/s²

What is the domain of f(x)=square root of 9-14x

Answers

Answer: 6.9

Step-by-step explanation:

Để tuyển nhân viên, một công ty tổ chức kiểm tra 3 vòng độc lập. Một người tham gia thi tuyển với xác suất qua các vòng lần lượt là 0,8 và 0,6 và 0,25.
a) Tìm xác suất để người đó không được nhận vào công ty?
b) Tìm xác suất để người đó thi đỗ ít nhất 1 vòng.
c) Tìm xác suất để người đó thi không đỗ ở vòng 2.

Answers

It's b I hope that helps you're welcome Để tuyển nhân viên, một công ty tổ chức kiểm tra 3 vòng độc lập. Một người tham gia thi tuyển với xác suất qua các vòng lần lượt là 0,8 và 0,6 và 0,25.
a) Tìm xác suất để người đó không được nhận vào công ty?
b) Tìm xác suất để người đó thi đỗ ít nhất 1 vòng.
c) Tìm xác suất để người đó thi không đỗ ở vòng 2.

Which of the following questions are equivalent to the answer below x 3/5

Answers

Answer:

[tex]x^\frac{3}{5} = (x^3 )^\frac{1}{5}[/tex]

[tex]x^\frac{3}{5} = \sqrt[5]{x^3}[/tex]

[tex]x^\frac{3}{5} = (\sqrt[5]{x})^3[/tex]

Step-by-step explanation:

Given

[tex]x^\frac{3}{5}[/tex]

Required

The equivalent expressions

We have:

[tex]x^\frac{3}{5}[/tex]

Expand the exponent

[tex]x^\frac{3}{5} = x^{ 3 * \frac{1}{5}}[/tex]

So, we have:

[tex]x^\frac{3}{5} = (x^3 )^\frac{1}{5}[/tex] ----- this is equivalent

Express 1/5 as roots (law of indices)

[tex]x^\frac{3}{5} = \sqrt[5]{x^3}[/tex] ------ this is equivalent

The above can be rewritten as:

[tex]x^\frac{3}{5} = (\sqrt[5]{x})^3[/tex] ------ this is equivalent

Find the missing length indicated

Answers

Answer:

what's the question? ke

a new automobile cause 11300 which is 100 more than 25 times a certain number what is the number​

Answers

Answer:

25x + 100 = 11300

25x = 11200

448 = x

Step-by-step explanation:

the certain number is 448

Craig and Cindy working together can mow the lawn in four hours working alone Cindy takes twice as long as Craig how long does it take Craig to mow the lawn alone

Answers

Answer:

12 hours

Step-by-step explanation:

1 : (1/4 : (2 + 1)) = 12

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