bruh please help i’ve been trying to do this for two days and i can’t figure it out :// pls help lol i’m struggling

the probability that at least seven customers arrive in three minutes, given that exactly two arrive in the first minute, is approximately 0.081 or 8.1%.

How to solve?

To solve this problem, we can use the Poisson distribution, which models the probability of a certain number of events occurring in a fixed interval of time or space, given the expected rate of occurrence.

Let lambda be the expected rate of customer arrivals per minute. If exactly two customers arrive in the first minute, then the expected number of customers to arrive in three minutes is lambda ×3. We can use this expected value to calculate the probability of at least seven customers arriving in three minutes:

P(X ≥ 7 | X ~ ∝(λ×3))

= 1 - P(X ≤ 6 | X ~ ∝(λ×3))

= 1 - ∑[k=0 to 6] (e²(-λ3) ×(lλ3)²k / k!)

where e is the mathematical constant approximately equal to 2.71828, and k! denotes the factorial of k.

To find lambda, we can use the fact that exactly two customers arrive in the first minute. The Poisson distribution assumes that the number of events in a fixed interval of time or space follows a Poisson distribution with parameter lambda, which represents the expected rate of occurrence. Therefore, lambda is equal to the number of customers arriving per minute, which is 2.

Substituting lambda = 2 into the formula, we get:

P(X ≥ 7 | X ~ ∝(2×3))

= 1 - P(X ≤ 6 | X ~ ∝(6))

= 1 - ∑[k=0 to 6] (e²(-6) ×6²k / k!)

Using a calculator or computer software, we can evaluate this expression to get:

P(X ≥ 7 | X ~ ∝(6)) ≈ 0.081

Therefore, the probability that at least seven customers arrive in three minutes, given that exactly two arrive in the first minute, is approximately 0.081 or 8.1%.

To know more about Probability related question visit:

https://brainly.com/question/30034780

#SPJ1

Answer:

Step-by-step explanation:

9.

Area = 15 × 5

Area = 75

perimeter = 15 + 6 + 15 + 6 = 42

10.

Area = (10 × 15) ÷ 2 = 75

perimeter = 18 + 10 + 15 = 43

11.

Area = (25 × 10) ÷ 2 = 125

perimeter = 31.6 + 25 + 11.2 = 67.8

please give me a brainliest answer

The probability that at least two people in a group of 30 have the same birthday is about 0.7063 or 70.63%.

To calculate the probability that at least two people in a group of 30 have the same birthday, we can use the complement rule:

P(at least 2 people have the same birthday) = 1 - P(all people have different birthdays)

The probability that the first person has a unique birthday is 1 (since there are no other people to share with yet).

The probability that the second person also has a unique birthday is 364/365 (since there are now 364 days left out of 365 that they could have a different birthday from the first person).

Similarly, the probability that the third person has a unique birthday is 363/365, and so on. So, we can write:

P(all people have different birthdays) = 1 x 364/365 x 363/365 x ... x 336/365

Using a calculator or computer program, we can evaluate this expression to be approximately 0.2937.

Therefore,

P(at least 2 people have the same birthday) = 1 - 0.2937 = 0.7063

So the probability that at least two people in a group of 30 have the same birthday is about 0.7063 or 70.63%.

To know more about probability refer here:

https://brainly.com/question/30034780

#SPJ11

For the given conditions convention B attendance is decreasing at a greater rate.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, the number of people attending convention A can be modeled by the function as,

f(x) = 1200 • 0.95ˣ

where x is the number of years that the convention has been occurring.

The number of people attending convention A in year 1,

f(x) = 1200 × 0.95¹

f(x) = 1140

The number of people attending convention A in year 2,

f(x) = 1200 × 0.95²

f(x) = 1083

The number of people decreasing in the Convention A,

=1140 - 1083

=57

If the number of people attending Convention B was 2200 in year 1 and 2100 in year 2. The number of people decreasing in the Convention B,

=2200-2100

=100

Thus, for the given conditions convention B attendance is decreasing at a greater rate.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

Answer:

the answer is 221.1

Step-by-step explanation:

The volume of the rectangular prism is 221.1 in³.

The volume of any object defined the capacity of it, how much it can hold something is called its volume.

Given is rectangular prism, we need to find the volume of the same,

So, we know that the volume of a rectangular prism is the product of its dimensions.

V = length × width × height.

\(V = 16\frac{3}{4} \times 4\frac{2}{5} \times 3\)

\(V = \frac{67}{4} \times \frac{22}{5} \times 3\)

V = 4422/20

V = 221.1

Hence, the volume of the rectangular prism is 221.1 in³.

Learn more about volumes, click

https://brainly.com/question/1578538

#SPJ2

So the amount of gain that can be deferred under the installment sale method is $424,879.16.

Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.

Here,

To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.

Selling price = $99,800 cash + $998,000 note = $1,097,800

Adjusted basis = $798,400 - $479,040 = $319,360

Total gain = $1,097,800 - $319,360 = $778,440

To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:

Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%

Now we can calculate the amount of gain that can be deferred using the formula:

Gain deferred = Gross profit percentage × Payments received

Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:

$99,800 + ($998,000 / 2) = $598,800

Substituting into the formula, we get:

Gain deferred = 0.7097 × $598,800 = $424,879.16

To know more about percent,

https://brainly.com/question/29172752

#SPJ1

Answer: For three hours of work, she'll get paid $54. For 2.1 hours of work she'll get paid $37.8

Hope this helps you.

Answer:

$54, $37.8

Step-by-step explanation:

3 hrs=$54, 2.1 hrs=$37.8

can i have brainlyest please

Answer:

Step-by-step explanation:

84%

800*.84 = 672 students prefer the stadium

Time taken by Adam to complete his seventh lap of the circular track as per given data is equal to 1minute 28seconds.

As given in the question,

Time taken by Adam to complete hi first lap of circular track = 1 min 58 sec

First term t₁ = 1 minute 58seconds

Time taken by each successive lap is 5seconds less then the previous lap

Common difference 'd' = -5seconds

let time taken to complete the seventh lap be t₇

t₇ = t₁ + ( 7 - 1 ) d

⇒ t₇ = 1 minute 58 seconds + ( 6 ) (- 5seconds)

       =  1 minute 58 seconds - 30seconds

      = 1 minute 28 seconds

Therefore, the time taken by Adam to complete his seventh lap is equal to

1 minute 28 seconds.

Learn more about time here

brainly.com/question/28050940

#SPJ4

the Area will be 280 inch².

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The base of triangle = 20inch

The height of triangle  = 14inch

Area is = (base * height) =  (20*14)

Area = 280 inch²

Hence the Area will be 280inch²

Learn more about triangles, by the following link

https://brainly.com/question/17335144

#SPJ1

Answer:

60°

Step-by-step explanation:

Sum of angles of triangle = 180°

x + 40 + 80 = 180

      x + 120 = 180     {Subtract 80 from both sides}

                x = 180 - 120

                x = 60°

Answer:

\(\boxed{\sf x=60^o}\)

Step-by-step explanation:

By applying the sum property.

\(\sf 40+80+x=180^o\)

Add the numbers:- 40 + 80 = 120

Subtract 120 from both sides:-

Answer:

71.58

Step-by-step explanation:

95/100(x)=68

simplify the fraction: 19/20(x)=68

multiply 20 to get rid of the denominator: 19x=1360

divide 19 to get x: x=71.58

Answer:

Step-by-step explanation:

7y-3y= 4y

4y=8

Here when its like this we need y by itself, so you take out 4 by dividing 8 by 4.

y= 2

The population of Olympia would be in 2014 is 293008 people.

As we did before, we first need to define what year will correspond to n=0.

Since, we know that the population in 2008,it would make sense to have 2008 correspond to n=0, then year 2014 would then be n = 6.

we have Probability (P) = 245000.

We know that,

The growth rate is 3%, given r = 0.03

Using explicitly form,

A = 245000 (1+0.03)⁶

  = 245000 (1.19405)⁶

  = 292542.25

The model predicts that in 2014, Olympia would have a population of about 293008 people.

Learn more about Probability:

https://brainly.ph/question/17411929

#SPJ4

The correct answer is D. $2.75 / $3.24

To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:

Philadelphia: $117

Cleveland: $106

To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:

Expected Gas Price = National Average * (Transportation Expense / National Average)

National Average for gas = $2.59

For Philadelphia:

Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30

For Cleveland:

Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51

Comparing the expected gas prices, we find that:

A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.

C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.

Therefore, the correct answer is:

D. $2.75 / $3.24

for such more question on transportation expenses

https://brainly.com/question/11734493

#SPJ8

To ensure a zero cash flow in the portfolio, the writer needs to set up a portfolio that offsets the cash flow from selling the derivatives. The writer should have -3 underlying assets in the portfolio (meaning short sold assets)

The cash flow from selling 100 derivatives can be calculated as:

Cash Flow from selling derivatives = 100 * (Premium at time 0 - Expiry value)

Cash Flow from selling derivatives = 100 * (1.34 - 0.64) = 70

To offset this cash flow, the writer needs to include an equal and opposite cash flow from the underlying assets. Let's assume the writer buys ""x"" underlying assets.

Cash Flow from underlying assets = x * (Value at time 0 - Value at time 1)

Cash Flow from underlying assets = x * (36 - 57) = -21x

To make the cash flow from underlying assets equal to the cash flow from selling derivatives, we set up the equation:

-21x = 70

Solving this equation, we find:

x ≈ -3.33

Since the number of underlying assets must be an integer, we round -3.33 to the nearest integer, which is -3.

Therefore, the writer should have -3 underlying assets in the portfolio (meaning short sold assets).

To know more about derivative, click here: brainly.com/question/25324584

#SPJ11

answer is D because the x and the y could be anything

Answer:

0.84

Step-by-step explanation:

23.35 divided by 27.65 = 0.84448462929

Rounded to the first 2 decimal places would be:

0.84

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 15 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

Step-by-step explanation:

\(\frac{23.35}{27.65} \approx{0.84}\\\)

The critical number at x=1 represents a local minimum point in the function. Conversely, the critical number at x=-5 represents a local maximum point in the function,

The critical numbers for a continuous function f'(x) are found to be 1 and r = -5. To determine what happens at these critical numbers, the second derivative test is used, given that the second derivative is f" (x) = (x-1)(x+5)5.

The test results are inconclusive for the critical number at r = -5 as the second derivative is positive on both sides of this number. However, at the critical number x=1, the second derivative is positive, indicating a local minimum.

as the second derivative is negative on both sides of this number. Thus, using the second derivative test helps to identify the nature of the critical numbers and the local extrema in the function.

To learn more about : function

https://brainly.com/question/11624077

#SPJ11

We will use the second derivative test to determine the nature of the critical points of the function f(x).

At x = 1, f'(1) = 0 and f"(1) = (1-1)(1+5)5 = 0. This means that the second derivative test is inconclusive at x = 1.

At x = -5, f'(-5) = 0 and f"(-5) = (-5-1)(-5+5)5 = 0. Again, the second derivative test is inconclusive at x = -5.

Since the second derivative test is inconclusive at both critical points, we cannot determine the nature of these critical points using this test alone. We need to look at additional information to determine whether they are local maxima, local minima, or points of inflection.

However, we can say that it is not possible for there to be a local maximum at x = -5 and a local minimum at x = 1, as this would require the sign of f'(x) to change from negative to positive between these two points, which is not possible since f'(x) is continuous.

Therefore, the only possible answer is: Local maximum at x = 1; local minimum at x = -5.

Learn more about continuous function f'(x) here: brainly.com/question/31961006

#SPJ11

Answer:

Unitary cost= $37.34 = $37

Step-by-step explanation:

Giving the following information:

Number of tires= 8

Total cost= $298.75

To calculate the unitary value of each tire, we need to use the following formula:

Unitary cost= total cost / number of tires

Unitary cost= 298.75 / 8

Unitary cost= $37.34 = $37

Answer:

292 and 2092

Step-by-step explanation:

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

Total : 240 + 600 + 90 = 730

So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292

Total: 292 + 1800 = 2092

The total cost of paint would be 2092 dollars.

The area of the cuboid is the sum of product of the length, breadth of the given prism.

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

The Total area: 240 + 600 + 90 = 730

So, The cost of painting = 730/25 x 10

= 29.2 x 10

= 292

Total: 292 + 1800 = 2092

Learn more about cuboid;

https://brainly.com/question/15843335

#SPJ2

Answer:

C i think

Step-by-step explanation:

Answer:

20.12 ft

Step-by-step explanation:

if you take 6^2 and subtract that from 21^2 then you will get your answer after finding the square root of the answer that the calculator gives you.

Answer:

The sum and product of zeroes are 1 and 1/4, respectively.

Step-by-step explanation:

To determine the zeroes of the quadratic polynomial, let equalize the polynomial to zero and solve in consequence:

\(16\cdot s^{2}-16\cdot s + 4 = 0\)

By the General Quadratic Formula:

\(s_{1,2} = \frac{16\pm \sqrt{(-16)^{2}-4\cdot (16)\cdot (4)}}{2\cdot (16)}\)

\(s_{1,2} = \frac{1}{2}\)

Which means that zeroes are \(s_{1}=s_{2}=\frac{1}{2}\).

The sum and product of zeroes are, respectively:

\(s_{1}+s_{2} =\frac{1}{2}+\frac{1}{2}\)

\(s_{1}+s_{2} = 1\)

\(s_{1}\cdot s_{2} = \left(\frac{1}{2} \right)^{2}\)

\(s_{1}\cdot s_{2} = \frac{1}{4}\)

The sum and product of zeroes are 1 and 1/4, respectively.