Henry gets an average of 17 emails during his 8 hour work day. What is the probability that henry will get exactly 12 emails in a 5 hour portion of his work day?

Answers

Answer 1

The probability that Henry will get exactly 12 emails in a 5-hour portion of his work day depends on the distribution of email arrivals and the assumption of email arrivals being independent and following a consistent pattern.

Without additional information about the distribution, we cannot determine the exact probability.

To determine the probability, we need to know the distribution of email arrivals during the 8-hour work day. Without this information, we cannot calculate the probability accurately.

However, if we assume that the emails arrive uniformly and independently throughout the 8-hour work day, we can make an approximation. We can calculate the average number of emails received per hour by dividing the total number of emails (17) by the number of hours (8). This gives us an average of 2.125 emails per hour.

To find the probability of receiving exactly 12 emails in a 5-hour portion, we can use the Poisson distribution as an approximation. The Poisson distribution models the number of events occurring within a fixed interval of time, assuming that the events occur randomly and independently.

Using the Poisson distribution formula, the probability of receiving exactly 12 emails in a 5-hour period would be:

P(X = 12) = (e^(-λ) * λ^12) / 12!

Where λ is the average number of events per unit time (2.125) and 12! is the factorial of 12.

However, please note that this calculation assumes the Poisson distribution is appropriate and that email arrivals follow a random and independent pattern. The accuracy of this approximation depends on the specific characteristics of Henry's email arrival process.

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Related Questions

If p = 2 and q = 8, the value of p 3 + square root 64 ÷ q is _____.

Answers

Answer:

Step-by-step explanation:

p3 = 2*3 = 6

64 ÷ 8 = 8 , 64 is the square root

6 + 64 = 70

Please HELP I GIVE BRAINLIESTT!!
You signed a contract that has guaranteed you to make $11.75 per hour and you get a 50$ sign bonus!
Your current paycheck is represented by the function below:
f(x)=11.75x+50
Now here is the fun part! You want to figure out how many hours you must work to buy your favorite car! ----- Cost of dream car ($200,000)

1. Use the space below to work out how many hours (x) you must work to pay for your dream car.
2. Sketch a graph to demonstrate your equation. Be sure to label the axis in terms of hours and dollars earned.
3. Then in complete senetnce(s) explain what that means in terms of the domain. If you worked more hours could you buy a nicer car? Could you work fewer hours and buy a cheaper car?

Answers

Answer:do 11.75 times 50 and that would give u your answer hopes this helps!

Step-by-step explanation:

the random variable is geometric with a parameter which is itself a uniform random variable on . find the value of the conditional pdf of , given that . hint: use the result in the last segment.

Answers

The conditional PDF of X given Y = y is a geometric distribution with parameter 1-p.

Let X be a geometric random variable with parameter p, and let Y be a uniform random variable on the interval [0,1], which means the PDF of Y is fY(y) = 1 for 0 ≤ y ≤ 1 and 0 otherwise. We want to find the conditional PDF of X given Y = y.

By Bayes' theorem, the conditional PDF of X given Y = y is given by:

fX|Y(x|y) = fY|X(y|x) fX(x) / fY(y)

where fX(x) is the PDF of X, which is given by fX(x) = (1-p)^(x-1) p for x = 1, 2, 3, ..., and fY|X(y|x) is the PDF of Y given X = x, which is given by fY|X(y|x) = 1 for 0 ≤ y ≤ p and 0 otherwise.

To find fY(y), we use the law of total probability:

fY(y) = ∑ fX(x) fY|X(y|x) for all x

Plugging in the values of fX(x) and fY|X(y|x), we get:

fY(y) = ∑ (1-p)^(x-1) p for 0 ≤ y ≤ p and 0 otherwise.

Since Y is uniform on [0,1], we have fY(y) = 1 for 0 ≤ y ≤ 1 and 0 otherwise. Therefore, the above sum simplifies to:

∑ (1-p)^(x-1) p = p / (1 - (1-p)) = 1

Now we can plug in the values of fY(y) and fX(x|y) into the formula for the conditional PDF of X given Y = y:

fX|Y(x|y) = fY|X(y|x) fX(x) / fY(y)

fX|Y(x|y) = (1/p) (1-p)^(x-1) p / 1 = (1-p)^(x-1)

Thus, the conditional PDF of X given Y = y is a geometric distribution with parameter 1-p.

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answer quickly plsss

answer quickly plsss

Answers

what do u want us to do?

Answer:

what do we have to do in this?????

PLS HELP I WILL GIVE U BRAILIEST I need help
Copy and convert into numbers.

1.) 2.75 x 10-2 =

2.) 39,000,000,000 =

3.) .000002 =

4.) 7.368 x 104 =

Answers

Answer:

1)0.0275

2)3.9×10^10

3)2×10^-6

4)did u mean 10^4?

if so then it would be 73,680

explanation

1)2.75×10^-2

2.75×.01=0.0275

2)39,000,000,000.00

in scientific notations the first number has to be lower than 10 and higher than 1>

3.9 works so i would take the dot/period and bring it between 3 and 9, the dot would travel 10 places therefore you raise the 10 to the 10th power

3.9×10^10

4) and since 10 is raised to the 4th power you would just move the dot 4 places right and you get

7.368>73,680

I NEED HELP AGAIN PLZ!!!!!

I NEED HELP AGAIN PLZ!!!!!

Answers

Answer:

cut the polygon into fourths.

since it's a square, the line values of each of the fourth's lines will equate.

find the area of one of the little triangles first.

area of triangle = 1/2 * a * b

area of triangle = 1/2 * 7 * 7 = 24.5

there're 4 triangles.

24.5*4 = 98

98 yds ^ 2

Answer:

The area of your square is 98 yd²

Step-by-step explanation:

The given information about the polygon is half of the diagonal length. Since 7 yds are only half of the diagonal length, we know to add another 7yds to complete the line. Therefore we have 14 as our diagonal length.

====================================

Additional info:

side length a = 9.8994949366117 yd

diagonal q = 14 yd

perimeter P = 39.597979746447 yd

area A = 98 yd²

=====================================

Formulas used:

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

Area of a square:

A = a2

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

Perimeter of a Square

P = 4a

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

Polygon diagonals of a square

q = √(2a2) = a√2

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

Side of a Square

a = √A

a = P/4

a = q / √2

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

I hope I helped, and I always appreciate brainliest!!!   :)

select the function that matches the graph

Answers

Answer:

I don't see a graph

Step-by-step explanation:

Explanation:
Where is the graph????????
I don’t see the graph !!

What are the domain and range of the function F(x)=x^2+5x+6/x+2

Answers

Answer:

57

Step-by-step explanation:

I did the math I hope it's right

strengths and limitations of visually interpreting histograms

Answers

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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A basketball court is a rectangle that is 28\,\text{m}28m28, start text, m, end text long and 15\,\text{m}15m15, start text, m, end text wide. A diagram on a coordinate plane shows a circle in the middle of the court centered at (0\,\text{m},0\,\text{m})(0m,0m)left parenthesis, 0, start text, m, end text, comma, 0, start text, m, end text, right parenthesis. The point (0.8\,\text{m}, 1.5\,\text{m})(0.8m,1.5m)left parenthesis, 0, point, 8, start text, m, end text, comma, 1, point, 5, start text, m, end text, right parenthesis is on the circumference of the circle.
Approximately what percentage of the court does the circle cover?

Answers

Answer:

48

Step-by-step explanation:

Answer:

B, 2%

Step-by-step explanation:

-in a random physical Sciences experiment A and B are two different events it was found that
,P(A)=2/5,P(B)=3/8 and P(A or B)=5/7

-calculate the P(B).​

Answers

Answer:

3/8

Step-by-step explanation:

P(B) is given to you in the question.

How much more organic carbon would be saved annually by using reduced tillage? A. 12,000 g/ha. B. 70 kg/ha. C. 7,000 g/ha. D. 120 kg/ha.

Answers

The correct answer is Option B. There'll be 70 kg/ha organic carbon would be saved annually by using reduced tillage.

Reduced tillage, also known as conservation tillage, is a practice that minimizes the disturbance of the soil and helps to maintain organic carbon in the soil. This practice can help to improve soil health, reduce erosion, and increase water retention.
One study found that reduced tillage can increase organic carbon levels in the soil by 70 kg/ha (kilograms per hectare) per year. This is equivalent to 70,000 g/ha (grams per hectare) per year. Therefore, the correct answer is option B. 70 kg/ha.
In conclusion, reduced tillage can help to increase organic carbon levels in the soil, leading to improved soil health and other benefits. The amount of organic carbon saved annually by using reduced tillage is 70 kg/ha.

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There are only blue ,yellow cubes and green cubes in a bag there are 5 times as many blue cubes as yellow cubes and there are 5 times as many green cubes as blue cubes sarah takes at random a cube from the bag what is the probability that sarah takes out a yellow cube

Answers

Answer:

1 / 31

Step-by-step explanation:

Given that:

Yellow (y) ; Blue (b) ; Green (g)

b = 5y

g = 5b

Assume :

Number of yellow cube = 1

y = 1

b = 5

g = 5*5 = 25

Probability = (required outcome / number of total possible outcomes)

P( picking a yellow) = number of yellow / total number of cubes

Total number of balls = (1 + 5 + 25) = 31

P(picking a yellow) = 1 / 31

GEOMETRY FIND LENGTH OF THIRD SIDE

GEOMETRY FIND LENGTH OF THIRD SIDE

Answers

Answer:

2.65

Step-by-step explanation:

a^2 + b^2 = c^2 (Pythagorean theorem)

square root of 3 = 1.73205080757

2 x square root of 3 = 3.4

2^2 + 3.4^2 = C^2

4+ 11.6= C^2

500 / 500 equals what 97 points and brainliest answer ASAP if possible

Answers

Answer:

1

Step-by-step explanation:

500/500=1

x / x = 1

Answer:

The answer is 1.

Step-by-step explanation:

This is because when you divide a number with each other then they cancel out to equal 1. This can happen with the letter x. So, x/x = 1.

Going back to the question 500/500 can cancel out to become 1.

A survey asked only girls to identify their favorite item on the
school cafeteria menu

A. Unbiased sample

B. Biased sample​

Answers

Answer:

B

Step-by-step explanation:

A biased sample is a sample that does not accurately represent the population.

The survey asked only girls, but we can assume this school has both boys and girls. Therefore, by only asking girls, it creates a bias, because the boys in the school are not represented.

Therefore, the correct choice is B: biased sample.

U
(3x -9)
30°
240
w
What is the value of x?
1.
21
2.
39
3
45
4
126

U(3x -9)30240wWhat is the value of x?1.212.393454126

Answers

Answer:

option 3, 45

Step-by-step explanation:

3x - 9° + 30° + 24° = 180° (angle sum property of a triangle)

3x - 9° + 54° = 180°

3x + 45° = 180°

3x = 180° - 45°

3x = 135°

x = 135/3

x = 45°

therefore, option 3 is the correct option

Put the steps of solving the equation in order from first to last.
2x + 1 = -1

Answers

Answer:

x = 1

Step-by-step explanation:

2x + 1 = -1

2x = -1 - 1

2x = -2

x = -2 ÷ -2

x = 1

what is the percent increase from 69.2 to 69.2

Answers

Answer:

I don't want to give you the answer, but I'll tell you how to do it, it's better for you to learn this way, and you won't regret not learning how to do it!

Step-by-step explanation:

Step 1: Find the difference of the values by subtracting the starting value from the final value.

Step 2: Divide the difference by the starting number.

Step 3: Multiply by 100.

The table shows Jewish emigration from Germany between 1933 and 1939. A 2-column table with 4 rows titled Jewish Emigration from Germany, 1933 to 1939. Column 1 is labeled region or country, with entries United notes, Latin America, Palestine, Great Britain. Column 2 is labeled Number of emigrants, with entries 95,000, 75,000, 60,000, 40,000. What does the table help the reader understand? the lack of immigration quotas for refugees the rejection of nativism in the United States the denial of refugees in certain countries the high number of refugees forced to relocate.

Answers

The table helps the reader understand, ''the high number of refugees forced to relocate".

Given

The table shows Jewish emigration from Germany between 1933 and 1939.

What is pressure?

The pressure placed on the Jewish people in Germany was the main factor that forced a high number of refugees to relocate.

The number of Jews in Germany in January 1933, was about 523,000. These Jews decided to leave the country after the Nazi takeover.

Emigration numbers were mostly 37,000 and they went to Belgium, Denmark, France, the Netherlands, and Switzerland, which always demonstrated an openness to receive the Jewish immigrants.

Hence, the table helps the reader understand, ''the high number of refugees forced to relocate".

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Answer:

D

Step-by-step explanation:

Its D. For me this is the first one that comes up when i look it up and the other answer wasnt correct  so i went and did it (also looked up another question) so yeah its d :]

its on the unit test so good luck

The ratio of the number of identical glass marbles that Vasil placed in a red box, a blue box, and a green box is 12: 13: 15. Next, Vasil moved 25 marbles from the blue box, and 55 marbles from the green box, to the red box. Finally, he combined the marbles in the blue box and the green box and counted them. That number matched the number of marbles in the red box. How many marbles were in the green box after he moved 55 of them to the red box, but before he combined the marbles in the blue and green boxes?

Answers

There are 127 marbles in the green box after he moved 55 of them to the red box, but before he combined the marbles in the blue and green boxes

Let's assume that the common ratio between the number of marbles in the red, blue, and green boxes is x.

Initially, the ratio of marbles in the three boxes is 12x: 13x: 15x.

After Vasil moves 25 marbles from the blue box to the red box, the new ratio becomes 12x : (13x - 25): 15x.

Similarly, after moving 55 marbles from the green box to the red box, the new ratio becomes (12x + 55) : (13x - 25) : (15x - 55).

Given that the combined number of marbles in the blue and green boxes matches the number of marbles in the red box, we have:

(13x - 25) + (15x - 55) = 12x + 55.

Simplifying the equation, we get:

28x - 80 = 12x + 55.

Subtracting 12x from both sides and adding 80 to both sides, we have:

16x = 135.

Dividing both sides by 16, we find:

x = 8.4375.

Since we need to determine the number of marbles in the green box before combining the marbles in the blue and green boxes, we substitute this value of x into the expression for the green box marbles: 15x.

15 * 8.4375 = 126.5625.

Rounding to the nearest whole number, we find that there were approximately 127 marbles in the green box after Vasil moved 55 of them to the red box, but before he combined the marbles in the blue and green boxes.

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i need serious helpplease its confusing....

i need serious helpplease its confusing....

Answers

area: 40p² + 24p

wide: 8p

(40p² + 24p)/ 8p

5p + 3

so, length: 5p + 3 -> (a)

perimeter = wide x 2 + length x 2

16p + (10p + 6)

26p + 6 -> (b)

three students (a, b, and c) are asked to determine the volume of a sample of ethanol. each student measures the volume three times with a graduated cylinder. the results in milliliters are: a (87.1 , 88.2, 87.6); b (86.9, 87.1 , 87.2); c (87.6, 87.8, 87.9). the true volume is 87.0 ml. which student has the best precision?

Answers

The values in b are compared with the true volume. And we conclude that b is precise and accurate.

Accuracy determines how closely measured values match the actual value. The degree to which two measured values are inside a certain range, or how closely they agree, is called precision.

First calculate the mean of a, b, and c. We get, the mean of a is 87.63, the mean of b is 87.06, and the mean of c is 87.77.

From the values in "a", we can tell there is no good agreement between the given values, and just one (87.1) value is near to the true value. So a is neither precise nor accurate.

From the values in "b", we can tell these given values are reasonably close to the true value and exhibit good agreement. So b is precise and accurate.

From the values in "c", we can tell there is a considerable agreement between the given values but they are not very close to the true value. So c is precise but not accurate.

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Find the area of the rectangle below
length = 11 in
width = 17 in

Answers

Answer:187

Step-by-explanation: width multiply by height

=11 times 17

=187

Over the course of 3 days, Calvin spent 10 hours delivering newspapers. He spent the same amount of time each day delivering newspapers. Which of the following equations represents the amount of time Calvin spent delivering papers each day?
A: 3 ÷ 10
B: 10 ÷ 3 =
C:10 ÷ 7 =
D: 7 ÷ 10 =

Answers

I think the answer is d hope this help

Which of the following functions (there may be more than one) are solutions of the differential equation y''?4y'+4y=e^t?
a) y=te^(2t)+e^t
b) y=e^(2t)+te^t
c) y=e^(2t)
d) y=e^t
e) y=e^(2t)+e^t

Answers

The functions that are solutions of the differential equation y''?4y'+4y=e^t are: (B) y=e^(2t)+te^t & (E) y=e^(2t)+e^t.The given differential equation is, y''+4y'+4y=e^t ...(1)

We have to find the solutions of the differential equation. Let's solve the differential equation:(1) => r²+4r+4=0Now, solve the quadratic equation using the quadratic formula: r= (-(4)+√((4)²-4(1)(4))) / 2(1)= -2 (repeated)So, the solution of the corresponding homogeneous equation is:(2) yh= (c₁+c₂t)e^(-2t) ---------------(2)Now, we have to find a particular solution of the non-homogeneous differential equation (1).

Let, yp= Ae^t. Now, yp'= Ae^t, yp''= Ae^t. Substitute yp and its derivatives in the equation (1):yp''+4yp'+4yp= e^tAe^t+4Ae^t+4Ae^t= e^t9Ae^t= e^tA= 1/9Therefore, the particular solution is,(3) yp= e^t/9 ------------(3)

Hence, the general solution of the given differential equation is,(4) y= yh+yp= (c₁+c₂t)e^(-2t) + e^t/9Now, substitute the initial conditions in the general solution to get the constants c₁ and c₂:Let, y(0)=0 and y'(0)=0, then,c₁= -1/9 and c₂= 5/9Finally, the solution of the differential equation y''?4y'+4y=e^t is,(5) y= -(1/9)e^(-2t) + (5/9)te^(-2t) + e^t/9 =(e^(2t)+te^(2t))/9+ e^t ...

(Ans)The options that represent the functions that are solutions of the differential equation y''?4y'+4y=e^t are: (B) y=e^(2t)+te^t & (E) y=e^(2t)+e^t.

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(20 points) Two players have to simultaneously decide how much to contribute to the provision of a public good. If Player 1 contributes x and Player 2 contributes y, then the payoff to Player 1 is 2(x+y+xy)-x² and payoff to Player 2 is 2(x+y+xy)-2y². (a) (10 points) Find and draw the best response functions of both players. (b) (10 points) Find the Nash equilibrium of this game.

Answers

(a) The best response functions for both players are:

Player 1's best response function: x = 1 - y

Player 2's best response function: y = 1 - x

(b) The Nash equilibrium of this game is when both players contribute half of the maximum possible contribution, which is 0.5.

To find the best response functions, we need to determine the strategies that maximize the payoffs for each player given the other player's strategy.

For Player 1, the payoff function is 2(x + y + xy) - x². To find the best response, we maximize this function with respect to x while assuming y is fixed. Taking the derivative of the payoff function with respect to x and setting it to zero, we get:

∂(2(x + y + xy) - x²)/∂x = 2 + 2y - 2x = 0

Simplifying this equation, we find:

2x = 2 + 2y

x = 1 + y

x = 1 - y (rearranging the equation)

This is the best response function for Player 1.

Similarly, for Player 2, the payoff function is 2(x + y + xy) - 2y². Maximizing this function with respect to y while assuming x is fixed, we differentiate and set it to zero:

∂(2(x + y + xy) - 2y²)/∂y = 2 + 2x - 4y = 0

Simplifying the equation, we find:

2y = 2 + 2x

y = 1 + x

y = 1 - x (rearranging the equation)

This is the best response function for Player 2.

To find the Nash equilibrium, we need to find the values of x and y where both best response functions intersect. Solving the simultaneous equations x = 1 - y and y = 1 - x, we find the Nash equilibrium point at x = y = 0.5.

The best response functions for both players in this game are Player 1's best response function: x = 1 - y and Player 2's best response function: y = 1 - x. The Nash equilibrium occurs when both players contribute half of the maximum possible contribution, which is x = y = 0.5.

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A subset h of a vector space v is a subspace of v if the zero vector is in h.

a. True
b. False

Answers

Answer: TRUE

SUIIIIIIIII

The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

What is the subspace of a vector?

A subspace is a vector space that is also encompassed within another vector space.

So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.

Three components must be demonstrated to prove that a subset is a subspace:

Additionally, demonstrate that it is closed.

Show that it is closed when scalar multiplication is used.

Show that vector 0 is a part of the subset.

As it is stated in the question;

h represents a subset of the vector space v.

The zero vector is contained in h.

This implies that h must be in the v subspace.

Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

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PLEASE HELP I WILL MARK BRAINLIEST SHOW WOrK HOW YOU GOT IT

PLEASE HELP I WILL MARK BRAINLIEST SHOW WOrK HOW YOU GOT IT

Answers

Answer:

7 . 8.9

8 . 19.5

9 . 9.9

10 .12.6

Step-by-step explanation:

7.x=11tan39

8.x=28cos46

9.x=8tan51

10.x=31sin24

side opposite of mentioned angle is opposite

longest side in triangle is hypotenuse

the side subtended by the angle is the adjacent

can someone please help me with this ​

can someone please help me with this

Answers

Answer:

m<B=74°

Step-by-step explanation:

3x-23+2x-12=180

5x-35=180

5x=180+35

5x=215

x=215÷5

x=43

m<B=2x-12=2(43)-12=86-12=74

answer:

b= 10x i pretty sure

Step-by-step explanation:

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