a barbershop staffed with only one barber receives an average of 20 customers per day. the mean service time averages about 20 minutes per customer. assuming that the customer arrival follows a poisson distribution and the service time follows an exponential distribution. answer the following questions knowing that the barber works only for 8 hours a day: if a guy walks into this barbershop, what is the average number of customers in the barbershop he should expect to see?

Answer:

1/4

Step-by-step explanation:

We put 3 /12 which is 1/4 simplified

Glad I could help!!1

Answer:

1 5 and 8 also equal 130

2 3 6 and 7 equal 50

Step-by-step explanation:

have a great day :D

Answer:

∠1= 130°

∠2= 50°

∠3= 50°

∠4= 130°

∠5= 130°

∠6= 50°

∠7= 50°

∠8= 130°

Step-by-step explanation:

angles 1&2 have to equal 180°

and so on for ∠3&4  and 5&6 and 7&8

180-130=50

Answer:

B is correct I hope this helps.

Sheila made 3, 3-point shots.

The correct answer to the given question is option G.

To find the number of 3-point shots Sheila made, we can use algebraic equations to represent the situation.

Let's assume Sheila made x shots worth 2 points and y shots worth 3 points. We know that the total number of shots made is 9, so we have the equation:

x + y = 9  -- Equation (1)

We also know that the total points Sheila scored is 21. Since each 2-point shot contributes 2 points and each 3-point shot contributes 3 points, we have another equation:

2x + 3y = 21  -- Equation (2)

To solve this system of equations, we can multiply Equation (1) by 2 and subtract it from Equation (2):

2x + 3y - 2x - 2y = 21 - 2(9)

y = 3

Therefore, the number of 3-point shots Sheila made is 3.

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Answer:

5 hot dogs and 9 cookies

Step-by-step explanation:

1.5(5)+0.75(9)<15

7.5+6.75=14.25

Using the Bisector Theorem, the length of DE is 4y + 13 if we bisect (Line Over DE) at point R, DR = 2y + 9, and RE = 3y – 1.

Since l bisects DE at point R, we can use the segment bisector theorem, which states that the ratio of the lengths of the two segments is equal to the ratio of the lengths of the two other segments:

DR/RE = DE/ER

Substituting DR = 2y + 9 and RE = 3y - 1, we get:

(2y + 9)/(3y - 1) = DE/ER

Since R is the midpoint of DE, we have ER = DR = 2y + 9. Substituting this into the equation above, we get:

(2y + 9)/(3y - 1) = DE/(2y + 9)

Cross-multiplying, we get:

DE = (2y + 9)²/(3y - 1)

Expanding the numerator, we get:

DE = (4y² + 36y + 81)/(3y - 1)

Simplifying the expression, we get:

DE = 4y + 13

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Consider what you know about the sampling distribution of the sample proportion. this sampling distribution will have a centre equal to the population proportion, or p.

For determining the correct option, we will check one by one all the given options:

From the given statements, we can conclude that.

As the sample size of the data increases, the corresponding value of n also starts increasing.

The value on the denominator of the standard deviation equation is n.

Therefore, the standard deviation will decrease as the value of n increases.

A tiny variance is one with a low standard deviation.

As a result, the variance will be minor as the sample size increases.

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Actual questions should be:

Consider what you know about the sampling distribution of the sample proportion. This sampling distribution

(1) has a shape that is skewed to the right, regardless of sample size.

(2) is a collection of the parameters of all possible samples of a particular size taken from a particular population.

(3) Will become more variable as the sample size increases.

(4) will have a center equal to the population proportion, or p.

(5) will be Normal in shape only if the sample size is at least 100 .

Answer:

x = -1 and x = -5

Step-by-step explanation:

Part 1

−3|2x + 6| = −12

1. divide -3 by -3 and -12 by -3

|2x + 6| = 4

2. subtract 6 from 6 and 6 from 4

2x = -2

3. divide 2x by 2 and -2 by 2

answer: -1

Part 2

−3|2x + 6| = 12

1. divide -3 by -3 and 12 by -3

|2x + 6| = -4

2. subtract 6 from 6 and 6 from -4

2x = -10

3. divide 2x by 2 and -10 by 2

answer: -5

hope this helps!

Answer:

Hence the value of the test statistic is 0.780.

Step-by-step explanation:

Given:

Test Statistic:-

\(t=\frac{\bar{X}-\mu }{\frac{S}{\sqrt{n}}}\)

\(t=\frac{11.2-10.8 }{\frac{1.7}{\sqrt{11}}}\)

\(t=\frac{0.4}{0.5126}\\t=0.780\)

Answer:

hows it feel?

What was the tone of Cross and Martha's letters?

Octavio's cousin, who is a young tech and coding whiz. In the basement of his mother's house, Daniel uses a 3-D printer

Step-by-step explanation:

What was the tone of Cross and Martha's letters?

Octavio's cousin, who is a young tech and coding whiz. In the basement of his mother's house, Daniel uses a 3-D printer

What was the tone of Cross and Martha's letters?

Octavio's cousin, who is a young tech and coding whiz. In the basement of his mother's house, Daniel uses a 3-D printer

The annual sales after the 7th year is 855,355.65

An exponential function is a type of function in math that involves exponents. A basic exponential function is of the form f(x) = bx, where b > 0 and b ≠ 1.

The standard expression for an exponential function is expressed as: y=a(1+r)^t

From the parameters in the question

Given the following parameters

a = 650000

r = 4% = 0.04

t = 7

Substitute the given parameters into the formula:

y=a(1+r)^t

y = 650000(1+0.04)^7

y= 650000(1.04)^7

y=855,355.65

Hence, the annual sales for the local restaurant after 7 years is 855,355.65

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The parametrization for C inducing a counterclockwise orientation and starting at (8, 0) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π, the parametrization for C inducing a clockwise orientation and starting at (0, 8) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π and parametrization for C if it is now centered at the point (2, 4) is C(t) = (4+ 8 cos, 2+ 8 Sin), 0 ≤ t ≤ 2π

The circle C of radius 8, centered at the origin, parametrization for C inducing a counterclockwise orientation and starting at (8, 0). c(t) :0 ≤ t ≤ 2π,

a) equation of the circle is x² + y² = 64.

starting point it (80) and orientation Counterclockwise.

c(t) (8cos, 8sin) 0 ≤ t ≤ 2π

b) Starting point is (0,8) and orientation is clockwise

c(t) (8cos, 8sin) 0 ≤ t ≤ 2π

c) equation of circle is (x-4)²+ (4-2)² - 64

For counterclockwise orientation

C(t) = (4+ 8 cos, 2+ 8 Sin), 0 ≤ t ≤ 2π

Therefore, the parametrization for C inducing a counterclockwise orientation and starting at (8, 0) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π, the parametrization for C inducing a clockwise orientation and starting at (0, 8) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π and parametrization for C if it is now centered at the point (2, 4) is C(t) = (4+ 8 cos, 2+ 8 Sin), 0 ≤ t ≤ 2π

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Answer:

D

Step-by-step explanation:

-12 + 5 ≤ 4

-7 ≤ 4

this inequality is true

The answer to the question is D

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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Data

Option 1

• $1000.50 per year until you are 21.

Option 2

• $1 this year, $2 next year, and so on, doubling the amount until 21.

Procedure

• Option 1

• Option 2

Based on these equations, we would need to know the year that she would start giving us money and if the account had some money previously, as it would be added as a constant.

For example, if we had already $800, then we would have to add as follows:

Answer: we would have to know if the account had some money previously.

Answer:

13

Step-by-step explanation:

The reduced cost matrix for travelling salesperson problem in the given instance is shown below. The Travelling Salesperson Problem (TSP) is a classical combinatorial optimization issue that belongs to the category of NP-Hard problems.

This problem can be resolved using a branch and bound algorithm or by using dynamic programming.The reduced cost matrix for the given travelling salesperson problem instance The computation of the reduced cost matrix for travelling salesperson problem involves two steps: Identify the smallest element of each row and subtract the value from all the values in the row.

Identify the smallest element of each column and subtract the value from all the values in the column.In the given instance, the smallest element of each row is highlighted in bold. Therefore, after performing Step 1 the matrix becomes the matrix becomes Hence, the reduced cost matrix for the travelling salesperson problem is obtained.

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Answer:

18.75

Step-by-step explanation:

5/v=2/7.5

2v=37.5

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Answer:

Its 108 because you have to split up the rectangles so when you cut them in half you will have 2 separate rectangles 1 with a base of 8 and a height of 9 so you will multiply those so 9 x 8 = 72 then just do the other two so 6 x 6 = 36 now you add those together 36 + 72 = 108 hope that helps

The Answer Is 108

Find the top length by adding 8+6=14

And the sides are the same length, meaning the sides are equivalent to 6.

6x14=84.

To find the sides for the the other rectangle, do 9-6 to get the side 3.

3x8=24

Add both areas to get 108 Inches Squared.

Answer:

please mark brainlyest

6 = 200

12 = 400

18 = 800

24 = 1600

30 = 3200

36 = 6400

42 = 12800

48 = 25600

In theory assuming none of them die and they reproduce at a constant rate.

Answer: \(14.9^{\circ}\)

Step-by-step explanation:

Given

Applied force is 9 lb to hold of 35 lb crate on a hill

Suppose the hill makes an angle of \(\theta\) with horizontal

There will be two component of weights i.e. along and perpendicular to the hill

Only the component along the hill pulls the crate backwards

So,

\(\Rightarrow 35\sin \theta=9\\\\\Rightarrow \sin\theta =\dfrac{9}{35}\\\\\Rightarrow \theta =14.89^{\circ}\approx 14.9^{\circ}\)

Lauren's accounting profit can be calculated by subtracting her total expenses (rent, labor costs, and overhead expenses) from her total revenue.

To determine Lauren's accounting profit, we need to subtract her total expenses from her total revenue. Her total revenue for the year was $145,000. Her total expenses include rent ($12,000), labor costs ($65,000), and overhead expenses ($15,000).

To calculate her accounting profit, we subtract the total expenses from the total revenue:

Accounting Profit = Total Revenue - Total Expenses

Accounting Profit = $145,000 - ($12,000 + $65,000 + $15,000)

Accounting Profit = $145,000 - $92,000

Accounting Profit = $53,000

Therefore, Lauren's accounting profit for the year is $53,000. This represents the amount of interests left after deducting all the expenses from the total revenue. It is important to note that accounting profit does not take into account other factors such as opportunity costs or non-cash expenses, but it provides a basic measure of the profitability of the business based on the given information.

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Option B is Correct. An specific place in space is called a point. A dot indicates a point.

A point in space is a location. No length, width, or thickness exist in a point. In geometry, a dot stands in for a point. We typically use a (capital) letter to name a point. The simplest basic geometric object is a point. It is named with a capital letter and symbolised by a dot.

A point has no size and solely represents position (that is, zero length, zero width, and zero height). In a line, a line segment has two distinct endpoints. The line segment's length, which is the separation of two fixed points, is constant.

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Correct Question:

An exact location in space is called a _______

A. Line

B. Point

C. Circle

D. Line segment

Answer:

x=-8

Step-by-step explanation:

We are solving for the variable, x, so let us isolate all terms of x. Let us start by moving the numerical value 2 to the right side, thereby isolating the term 2x on the left:

2x= -18+2

2x=-16

So close! Let us divide both sides by 2 now:

x= -8

I hope this helps! Please let me know if you have any further questions :)

Answer:

-8

Step-by-step explanation:

Hey there

steps:

2x-2=-18

add 2 to both sides:

2x-2+2= -18+2

simplfy:

2x= -16

divide both sides by 3 :

\(\frac{2x}{2} = \frac{-16}{2}\)

simplfy :

x = -8

have a wonderful day

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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The sets of transformations that result in the same image when performed in any order are:

Translation, dilation with center (0,0)

Two translations

In mathematics, a transformation refers to a process that changes the size, shape, position, or orientation of a geometric figure or an object in a coordinate plane or space. There are several types of transformations, such as translation, rotation, reflection, and dilation, which are used to alter the original figure to create a new one that is similar or congruent to the original. Transformations are used in geometry, algebra, and other branches of mathematics to study and understand various properties of geometric shapes and objects.

Here,

For the first set, if we perform a translation followed by a dilation with center (0,0), the result will be the same as if we perform the dilation first followed by the translation. This is because the dilation does not change the direction of the translation, and the center of dilation is at the origin, so the translation is unaffected.

For the second set, any two translations can be combined to form a single translation, so the order in which they are performed does not matter.

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Answer:

8 x 182.625 = 4years

Step-by-step explanation:

hard to understand the rest maybe upload a picture

Answer:

if only.....

Step-by-step explanation:

Answer:

okay

Step-by-step explanation:

I checked it out very good