The number of his to a website follows a Poisson process. Hits occur at the rate of 3.5 per minute between 7:00 P.M. and 10:00 PM Given below are three scenarios for the numb between 8:43 PM, and 8:47 PM. Interpret each result (a) exactly seven (b) fewer than seven (c) at least seven hits) (a) P(7)=0 (Round to four decimal places as needed.) On about of every 100 time Intervis between 843 PM, and 8:47 PM, the website will receive (Round to the nearest whole number as needed.) (6) P(x7)-0 (Round to four decimal places as needed) On about of every 100 time intervals between B:43 PM and 8:47 PM, the website will rective (Round to the nearest whole number as needed.) (c) PLX27)- (Round to four decimal places as needed.) On about of every 100 time intervals between 8.43 PM and 8:47 PM, the website will receive (Round to the nearest whole number as needed) hito) hits)

Answers

Answer 1

(a) The first scenario when P(7) = 0.

Interpretation: The probability of exactly seven hits occurring between 8:43 PM and 8:47 PM is 0. This means that it is highly unlikely for exactly seven hits to happen within that specific time interval.

(b) The second scenario when P(X < 7) = 0.1051

Interpretation: On about 10.51% of every 100 time intervals between 8:43 PM and 8:47 PM, the website will receive fewer than seven hits. This indicates that it is relatively uncommon for the number of hits to be less than seven within that specific time interval.

(c) The third scenario when P(X >= 7) = 0.8949

Interpretation: On about 89.49% of every 100 time intervals between 8:43 PM and 8:47 PM, the website will receive at least seven hits. This suggests that it is quite likely for the number of hits to be seven or more within that specific time interval.

It's important to note that these probabilities are based on the assumption of a Poisson process with a rate of 3.5 hits per minute between 7:00 PM and 10:00 PM.

The probabilities provide insights into the likelihood of different scenarios for the number of hits within the specified time interval.

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Related Questions

which fraction correctly represents 0.54

Answers

Answer:

27/50 is the fraction.

Step-by-step explanation:

this is another question we cant figure out this is like multiple answers to it so yea pls help.

Answers

do it in your own answer

What is the solution set for -4m ≥ 96?

m ≥ -384
m ≤ -24
m ≤ -384
m ≥ -24

Answers

Answer:

Step-by-step explanation:

-4m≥96

-m≥24

m≤-24

match each correlation to the corresponding scatterplot. 13. true or false: r = 0.49 → (2) 14. true or false: r = −0.48 → (2) 15. true or false: r = −0.03 → (4) 16. true or false: r = −0.85 → (1)

Answers

Based on the given statistics, we will shape each correlation to the corresponding scatterplot as follows:

13.True or False: r = 0.49 → (2)

14.True or False: r = -0.48 → (4)

15.True or False: r = -0.03 → (3)

16.True or False: r = -0.85 → (1)

Based on the given records, we need to match each correlation fee to the corresponding scatterplot. Let's analyze every correlation and its corresponding scatterplot in more detail:

13.True or False: r = 0.49 → (2)

A correlation coefficient of 0.49 shows a tremendous correlation among the variables. This means that as one variable will increase, the alternative variable tends to grow as nicely, albeit not flawlessly. In the scatterplot categorized as (2), we'd assume to look at a trendy upward fashion wherein the factors are quite scattered around the road of satisfactory fit.

14.True or False: r = -0.48 → (2)

A correlation coefficient of -0.48 indicates a bad correlation between the variables. This manner that as one variable increases, the opposite variable has a tendency to lower. In the scatterplot labeled as (2), we'd expect to see a standard downward fashion wherein the points are rather scattered around the line of fine match.

15.True or False: r = -0.03 → (4)

A correlation coefficient of -0.03 shows a very weak terrible correlation between the variables. This method that there is almost no relationship between the variables. In the scatterplot categorized as (four), we would count on seeing factors scattered randomly, with no discernible pattern or fashion.

16. True or False: r = -0.85 → (1)

A correlation coefficient of -0.85 shows a sturdy poor correlation between the variables. This method that as one variable increases, the other variable has a tendency to decrease substantially. In the scatterplot labeled as (1), we might count on to peer a clear downward trend in which the factors are tightly clustered around the road of the first-rate match.

By analyzing the strengths and instructions of the correlations, we can suit each correlation value to its corresponding scatterplot as follows:

13. True or False: r = 0.49 → (2)

14.True or False: r = -0.48 → (2)

15.True or False: r = -0.03 → (4)

16.True or False: r = -0.85 → (1)

Please notice that scatterplots provide visible representations of statistics and relationships between variables, and the interpretations might also vary relying on the context and the statistics being analyzed.

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The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds.

a. What is the area between 415 pounds and a mean of 400 pounds?

b. What is the area between the mean and 395 pounds?

c. What is the probability of selecting a value at random and discovering that it has a value of less than 395 pounds?

Answers

The probability of selecting a value at random and discovering that it has a value of less than 395 pounds is 0.3085.

a. The area between 415 pounds and a mean of 400 pounds is:

0.9332 - 0.5 = 0.4332.

b. The area between the mean and 395 pounds is:

0.5 - 0.3085 = 0.1915

c.The probability of selecting a value at random and discovering that it has a value of less than 395 pounds is 0.3085.

Given the mean of a normal probability distribution as 400 pounds and the standard deviation as 10 pounds.

We have to calculate the area between 415 pounds and a mean of 400 pounds, the area between the mean and 395 pounds, and the probability of selecting a value at random and discovering that it has a value of less than 395 pounds.

a. What is the area between 415 pounds and a mean of 400 pounds?

The Z-score can be calculated as follows:

Z = (x - μ) / σ

= (415 - 400) / 10

= 1.5

From the Z-table, the area to the left of 1.5 is 0.9332.

Therefore, the area between 415 pounds and a mean of 400 pounds is:

0.9332 - 0.5 = 0.4332.

b. What is the area between the mean and 395 pounds?

The Z-score can be calculated as follows:

Z = (x - μ) / σ

= (395 - 400) / 10

= -0.5

From the Z-table, the area to the left of -0.5 is 0.3085.

Therefore, the area between the mean and 395 pounds is:

0.5 - 0.3085 = 0.1915.

c. What is the probability of selecting a value at random and discovering that it has a value of less than 395 pounds?

The Z-score can be calculated as follows:

Z = (x - μ) / σ

= (395 - 400) / 10

= -0.5

From the Z-table, the area to the left of -0.5 is 0.3085.

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Determine if the following systems is a) Linear b) Time-invariant c) Causal, Justify your answer. y(0) = x(t)sinwet

Answers

The given system y(0) = x(t)sin(wt) is linear, time-invariant, and causal. It satisfies the properties of superposition and homogeneity, exhibits the same time shift in the output as in the input, and the output at any given time depends only on the current and past values of the input.

a) Linearity: A system is linear if it satisfies the properties of superposition and homogeneity. In this case, the system is linear because it satisfies both properties. The input signal x(t) can be scaled or added together, and the corresponding output y(t) will also be scaled or added accordingly.

b) Time-invariance: A system is time-invariant if a time shift in the input signal results in the same time shift in the output signal. In this case, the system is time-invariant because shifting the input signal x(t) by a time delay will result in the same time delay in the output signal y(t).

c) Causality: A system is causal if the output at any given time depends only on the current and past values of the input. In this case, the system is causal because the output y(t) at any time t depends only on the values of the input x(t) for t' ≤ t.

In conclusion, the given system y(0) = x(t)sin(wt) is linear, time-invariant, and causal based on the justification provided above.

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Find the slope of the line

Answers

Answer:

-5/4 is the slope of the line.

Don't understand. Help please?​

Answers

Answer:

Length is 138 ft, area is 412 ft

Step-by-step explanation:

The length is determined by the perimeter, so add both side of the perimeter together, and you have your length. Area is determined by perimeter + Length, to add both sides of perimeter and length and you get 412 ft.

Find the answer

A.

B.

C.

Answers

B. 68
I use the formula A= bh/2 it’s the same thing
8x17 = 136
136/2 = 68

PLEASE HELP THIS IS PYTHAGOREAN THEORM 3D
I MARK THE BRANILIEST
What is the vertical height, hh
Round your answer to the nearest tenth.
The height is
units

Answers

Answer:

The height is 6.3

Step-by-step explanation:

Pythagorean Theorm: a² + b² = c²

5² + b² = 8²

25 + b² = 64

b² = 39

b = 6.2449979984

The perimeter of a square is 28 cm. Find its area and the length of its diagonal.


help me ​

Answers

Step-by-step explanation:

area: 28/4=7

7x7=49

diagonal=square root 7²+7²

9.89949

9.90

hope it can help you

The test statistic of z = 2.58 is obtained when testing the claim that p = 0.85. Find the P-value. (Round the answer to 4 decimal places and enter numerical values in the cell)

Answers

Given z-score is z = 2.58 and the null hypothesis isH0: p = 0.85, where p is the true proportion, and we need to find the p-value.

We know that for a two-tailed test, the p-value is the probability that a z-score is greater than or equal to the absolute value of the calculated z-score or less than or equal to its negative value. So, the p-value for a two-tailed test is: p-value = P(z ≥ 2.58) + P(z ≤ -2.58)  ..............(1) Here, z = 2.58 represents the upper critical value, and the negative of it is the lower critical value (z = -2.58)

As the given hypothesis is a two-tailed test, we need to calculate the probabilities for both critical values. From the standard normal distribution table, the probabilities for these critical values are:

P(z ≥ 2.58) = 0.0049 (approx.)  P(z ≤ -2.58) = 0.0049 (approx.)

Substituting these values in equation (1), we get: p- value = 0.0049 + 0.0049 p-value = 0.0098Hence, the p-value is 0.0098 (approx.)

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At a hospital emergency room, a doctor has determined that for every 14
patients injured in a car accident, 6 were not wearing seat belts.
6 no seat belts
14 injured total
If the emergency room saw 420 patients injured in car accidents last
month, what is the best prediction for how many patients were not wearing
seat belts? Round to the nearest WHOLE person.

6 no seat belts = ? no seat belts
___________ ___________
14 injured total 412 injured total​

Answers

Answer:

A prediction of 177 people.

Step-by-step explanation:

6x412=2472

2472/14=176.571428571

Rounded to nearest whole person=177

Please mark me as brainliest.

Sam raked 3 bags of leaves in 18 minutes. If he continues to work at the same rate, how long will it take him to rake 7 bags of leave ? PLEASE HELP

Answers

Answer:

Step-by-step explanation:

hope it helps make brainliest

Answer:

42 minutes

Step-by-step explanation:

18/3= 6

6*7=42

Please help, promise I will mark ya if ur right

Answers

The answer option is D
The answer is D.) h= A/2xr -r

Evaluate : ab−5c+b
for a = 12, b = 3 and c = - 4

Answers

Answer:

59

Step-by-step explanation:

[tex](12*3)-5*(-4)+3=59[/tex]

• What is the diameter of the circle?
What is the circumference of the circle
What is the area of the circle

Answers

Answer:

Radius = r

Diameter = 2r

Circumference = 2πr

Area = πr²

a diameter of a circle is a line drawn through the center of a circle.

I NEED HELPPP ASAP pleaseeeeeee

Answers

Answer:

Subtract 23 from both sides

Step-by-step explanation:

This is how algebra works, to get a variable by itself you have to do the opposite to both sides. Hope this helped.

Answer:

It's D: subtract 23 from both sides of the equation because inverse operations  

Step-by-step explanation:

A globe company currently manufactures a globe that is 16 inches in diameter. If the dimensions of the globe were reduced by half, what would its volume be? Use 3.14 for π and round your answer to the nearest tenth.

682.7 in^3
2143.6 in^3
85.3 in^3
267.9 in^3

Answers

If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be [tex]$V= 267.9 \text{ in}^{3}$[/tex]

What is volume ?

The volume of an object is a measure of the amount of space occupied by that object.

Here given that originally diameter was 16 inches but then dimensions of the globe was reduced by half

The new diameter is equal to

[tex]$$D=16 / 2=8 \mathrm{in}$$[/tex]

Hence radius is equal to

[tex]$$r=8 / 2=4 \mathrm{in}$$[/tex]

The volume of the reduced globe is

[tex]$V=\frac{4}{3}(\pi)(r)^{3}$[/tex]

[tex]$V=\frac{4}{3}(3.14)(4)^{3}$\\[/tex]

[tex]$V= 267.9 \text{ in}^{3}$[/tex]

If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be [tex]$V= 267.9 \text{ in}^{3}$[/tex]

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Answer:

267.9 in3

Step-by-step explanation:

I took the test and got it right!

Which sentence is Correct and please take your time !!!

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is the Last one

Convert 42 to a base two
numeral​

Answers

Convert 42 to a base two
numeral

Answer- 101010

I need help with this question ( see image). Please show workings.​

Answers

Answer:

13. (a) 120°, 120°, (b) 8.94 cm14. (a) 17.9 cm, (b) 22.4 cm

Step-by-step explanation:

Refer to the attached sketch (not to scale)Question 13

(a) The center of the circle is also the circumcenter of the triangle PQR.

Since ΔPQR is equilateral, all sides are equal, therefore opposite angles are also congruent:

∠POQ ≅ ∠QOR ≅ POR

Sum of the three angles is 360° as cover the full circle.

Each angle measure is:

∠POQ = ∠QOR = ∠POR = 360°/3 = 120°

(b) Each side is 16 cm and the radius is 12 cm.

The distance of the midpoint M of PQ from the center O is perpendicular bisector of ΔPOQ.

The segment MO is:

MO² = PO² - PM² = PO² - (PQ/2)²MO² = 12² - (16/2)² = 80MO = √80 = 8.94 cm (rounded)Question 14

ΔXYZ is isosceles with:

XY  = XZ = 20 cmYZ = 18 cm

(a) The altitude of ΔXYZ is a perpendicular bisector of YZ. h = XM is the altitude

Find h:

h² = XZ² - ZM² = XZ² - (ZY/2)²h² = 20² - (18/2)² = 319h = √319h = 17.9 cm (rounded)

(b) Note the ∠ZXM is half of the ∠ZOM as both the angles intercept half of the arc ZY and ∠ZOM is a central angle.

Find ∠ZXM:

sin ∠ZXM = ZM/ZX = 9 / 20m∠ZXM = arcsin (9/20) = 26.7° (rounded)

Find ∠ZOM:

m∠ZOM = 2*m∠ZXM = 2*26.7 = 53.4°

Find the measure of the radius:

sin ∠ZOM = ZM/rsin 53.4° = 9/rr = 9 / sin 53.4°r = 11.2 cm (rounded)

Find the measure of the diameter:

d = 2r = 2*11.2 cm = 22.4 cm

can anyone guess what game i was playing by the looks of it

Answers

Answer:

A VR car game and an iphone

Step-by-step explanation:

:)

You pick one card from each set and find the sum. How many different sums are possible? 4 5 6 5 6 7 1 2

Answers

There are a total of 9 possible sums. Suppose, the cards in the first set are 4, 5, and 6.

Similarly, the cards in the second set are 5, 6, and 7. A total of nine cards are there. If we choose one card from the first set and one card from the second set, then we get a total of nine possible pairs.

Hence, the sum of these pairs can be 4 + 5, 4 + 6, 4 + 7, 5 + 5, 5 + 6, 5 + 7, 6 + 5, 6 + 6, and 6 + 7. Therefore, there are nine possible sums possible.

Additionally, there are three possibilities in the first set (4, 5, and 6) and three possibilities in the second set (5, 6, and 7).

This means that there are 3 × 3 = 9 possible pairs of cards that we can choose, so there are 9 possible sums.We can list all of these sums as follows:4 + 5 = 96 + 5 = 116 + 5 = 116 + 6 = 127 + 5 = 127 + 6 = 137 + 7 = 14. Therefore, there are a total of 9 possible sums.

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yo please help its for a grade!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

(1, 2.5 (or 3/2))

Step-by-step explanation:

It's the point the two lines meet

You believe that a corporation's dividends will grow 5% on average into the foreseeable future. If the company's last dividend payment was $5 what should be the current price of the stock assuming a 12% required return?

Answers

The calculated value of the current price of the stock is $75

How to calculate the current price of the stock

From the question, we have the following parameters that can be used in our computation:

Growth = 5%

Required return = 12%

Last dividend payment = $5

The dividend is calculated as

D = Last dividend payment * (1 + Growth )

So, we have

D = 5 * (1 + 5%)

Evaluate

D = 5.25

the current price of the stock is calculated as

Price = D/(r - g)

So, we have

Price = 5.25/(12% - 5%)

Evaluate

Price = 75

Hence, the current price of the stock is $75

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Find the missing side and round to the nearest tenth

Answers

65 degrees is right

martin has read ​20% of a book. He has 8 more pages to finish. How many pages are there in the​ book?

Answers

Answer:

10 pages are in the page if im correct

1) 1/3(x+3)+1/6=1/2(x-1)-(x-3)

Answers

Answer:

x= 8/5

Step-by-step explanation:

Let's solve your equation step-by-step.

1

3

(x+3)+

1

6

=

1

2

(x−1)−(x−3)

Step 1: Simplify both sides of the equation.

1

3

(x+3)+

1

6

=

1

2

(x−1)−(x−3)

1

3

(x+3)+

1

6

=

1

2

(x−1)+−1(x−3)(Distribute the Negative Sign)

1

3

(x+3)+

1

6

=

1

2

(x−1)+−1x+(−1)(−3)

1

3

(x+3)+

1

6

=

1

2

(x−1)+−x+3

(

1

3

)(x)+(

1

3

)(3)+

1

6

=(

1

2

)(x)+(

1

2

)(−1)+−x+3(Distribute)

1

3

x+1+

1

6

=

1

2

x+

−1

2

+−x+3

(

1

3

x)+(1+

1

6

)=(

1

2

x+−x)+(

−1

2

+3)(Combine Like Terms)

1

3

x+

7

6

=

−1

2

x+

5

2

1

3

x+

7

6

=

−1

2

x+

5

2

Step 2: Add 1/2x to both sides.

1

3

x+

7

6

+

1

2

x=

−1

2

x+

5

2

+

1

2

x

5

6

x+

7

6

=

5

2

Step 3: Subtract 7/6 from both sides.

5

6

x+

7

6

7

6

=

5

2

7

6

5

6

x=

4

3

Step 4: Multiply both sides by 6/5.

(

6

5

)*(

5

6

x)=(

6

5

)*(

4

3

)

x=

8

5

Juan has a profitable web business of selling T-shirts priced at $25 each. His demand is pretty steady throughout the year (his website is up and running 365 days a year), approximately normally distributed with a mean of 30 T-shirts/day and a standard deviation of 10 T-shirts/day. He has a supplier in China that charges him $5 per T-shirt T and a flat rate of $150 every time he places an order. Orders take exactly 50 days to arrive by container ship. His calculates his annual per unit holding costs at 20% of the wholesale cost of T-shirts. a) What type of inventory management problem is this? Explain your answer. i) Newsvendor (single period) model ii) EOQ model with continuous demand distribution 111) EOQ model with discrete demand distribution b) Calculate how many T-shirts he should order from his China supplier at a time. c) Calculate the level at which he should reorder T-shirts from China to experience at most a 10% chance of a stocking out. a T-shirts, Juan should place an order for d) Fill in: When inventory drops to more T-shirts.

Answers

Juan should order approximately 1,813 T-shirts from his China supplier at a time.

How to explain the information

This inventory management problem can be categorized as the EOQ (Economic Order Quantity) model with continuous demand distribution. In this case, the demand for T-shirts is approximately normally distributed, and the EOQ model assumes a continuous demand pattern.

In order to calculate the optimal order quantity (EOQ), we can use the following formula:

EOQ = ✓((2 * D * S) / H)

where:

D = Annual demand (mean) = 30 T-shirts/day * 365 days/year = 10,950 T-shirts/year

S = Ordering cost per order = $150

H = Holding cost per unit = 20% of wholesale cost = 0.2 * $5 = $1

EOQ = ✓((2 * 10,950 * 150) / 1)

= ✓(3,285,000)

≈ 1,812.99

Therefore, Juan should order approximately 1,813 T-shirts from his China supplier at a time.

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