Advanced Clock Repair Services repairs a large variety of antique clocks. Dennis, the owner, operates the business out of his living room and he performs all repairs. Based upon history, the time to repair a clock is exponentially distributed with a mean of about 5 days. Currently, Dennis will always accept a clock for repair no matter how many are already in his living room. Customers drop off clocks for repair according to a Poisson process with a rate of about 0. 18/day. Dennis charges an average of $250 for a repair.


Required:

a. How many clocks would you expect to find in Dennis's living room at any time?

b. Assume you just dropped off a clock for repair. How long would you expect to wait before your clock is repaired?

c. What is Dennis's expected income rate?

d. Dennis's wife is irritated with the number of clock in the living room. Dennis is considering setting a limit of 5 clocks in his living room at any time (. E. An arriving customer will be turned away if there are already 5 clocks there). Dennis would like to determine the impact on his income rate for the new policy vs. The old. Build a model and use it to answer his question

Answer:

9 + x + x + 2 = 29

Step-by-step explanation:

all of the sides added together is 29

so

9 + x + x + 2 = 29

that is your equation

Answer:

54.96

Step-by-step explanation:

Using the formulas

AL=πrl

l=r2+h2

Solving for AL

AL=πrh2+r2=π·3·52+32≈54.95543

Answer:

[tex]\color{indigo}\rule{1pt}{1000000pt}[/tex]

[tex]\cot^4 A - \cot^2 A = 1\\\\\cot^4 A = 1 + \cot^2 A\\\\\frac{\cos^4 A}{\sin^4 A} = 1 + \frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A}{\sin^2 A}+\frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A+\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{1}{\sin^2 A}\\\\\cos^4 A = \frac{\sin^4 A}{\sin^2 A}\\\\\cos^4 A = \sin^2 A\\\\[/tex]

This then means,

[tex]\cos^4 A + \cos^2 A = 1\\\\\sin^2 A + \cos^2 A = 1\\\\[/tex]

which is the pythagorean trig identity. This concludes the proof.

Therefore, if [tex]\cot^4 A - \cot^2 A = 1[/tex], then [tex]\cos^4 A + \cos^2 A = 1[/tex]

Answer:

[tex]y = 3x +1[/tex]

Step-by-step explanation:

We can verify it by substituting the [tex]x[/tex] with the numbers in the [tex]x[/tex] column to get the same [tex]y[/tex] in the [tex]y[/tex] column.

Check:

[tex]y = 3(-2) +1\\y = -6 +1\\y= 5[/tex]

It matches; therefore, the answer is [tex]y = 3x +1[/tex]. You can try with the other equations given and take the same steps, but it will not match.

Answer:

answer a

Step-by-step explanation:

thats rlly the only one that makes sense to me, i really hope this will help <3

The expression that Yuri should write will be t < -3. Then the correct option is C.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The temperature on a winter day was less than –3 degrees Fahrenheit.

Yuri wants to write an inequality for the temperature on the winter day.

Yuri uses the variable t to represent the temperature.

The sign used for less than is " < ".

t < -3

The expression that Yuri should write will be t < -3.

Then the correct option is C.

More about the inequality link is given below.

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Answer:

30ft³

Step-by-step explanation:

asuming it has the shape of a rectangular prism

formula would be

V=whl

step 1 swap the numbers

V= (2)(5)(3)

step 2 multiply

V= 30

step 3 add the labels

V=30ft³

Answer:

11

Step-by-step explanation:

Cancel out 22 and 22.

\frac{\mathrm{d}}{\mathrm{d}x}(x)

dx

d

(x)

The derivative of ax^{n}ax

n

is nax^{n-1}nax

n−1

.

x^{1-1}x

1−1Subtract 11 from 11For any term tt except 00, t^{0}=1t

0

=1.

Answer:

$201.6

Step-by-step explanation:

5.60 multiplied by 36 is 201.6

Answer:

$201.60

Step-by-step explanation:

5.6 times 36 = 201.6

The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a  (x^5-3x -3 - 24x/(x²-5)) polynomial.

Quotients are the number that is obtained by dividing one number by another number.

The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a polynomial.

(x^5 - 3x³ - 3x² - 10x + 15) / p = x² - 5

p = (x^5 -3x³ - 3x² - 10x + 15)/(x² - 5)

= x^5 -3x - 3 - 24x/(x² - 5)

x^5 3x³ + 15x

x^5 - 3x² - 24x + 15

x^5 - 3x² + 15

0 - 24x + 0

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Answer: C

Step-by-step explanation:

Considering the dilation, the surface area of the rectangular prism is of 0.432 units².

The surface area of a rectangular prism of dimensions l, w and h is given by:

Sa = lwh.

In this problem, the dilation means that all dimensions are divided by 5, hence they will be considered as:

w = h = 0.6, l = 1.2.

Hence the surface area of the prism will be of:

Sa = lwh = 1.2 x 0.6 x 0.6 = 0.432 units².

More can be learned about the surface area of a rectangular prism https://brainly.com/question/21208177

The surface area of the solid created upon dilation by a factor of 5 is 2250 unit²

An equation is an expression that shows the relationship between two or more variables and numbers.

The solid below is dilated by a scale factor of 5. Hence:

New length = 6 * 5 = 30, new width = 3 * 5 = 15, new height = 3 * 5 = 15

Surface area = 2(30 * 15 + 30 * 15 + 15 * 15) = 2250 unit²

The surface area of the solid created upon dilation by a factor of 5 is 2250 unit²

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Answer:

140 degrees

Step-by-step explanation:

The formula of the hint is the sum of the angles in a nonagon (9 sided polygon). If we divide the sum of the angles in a nonagon by nine we should be able to get the angle of each nonagon.

(9-2) * 180 = 7 * 180 = 1260

1260/9 = 140 degrees

Answer:

x = 9

Step-by-step explanation:

(7x + 2)

7x can't be added with 2 because 2 has no x

therefor ,

we take x out

X ( 7 + 2 )

so

X = 9

warning :

sory if the answer is wrong

Answer:

the answer is (C) DOL

Step-by-step explanation:

Answer:

1) 1, 1, [tex]\sqrt{2}[/tex]

2) 45°, 45°, 90°

Step-by-step explanation:

side lengths need to be proportional like 1, 1, [tex]\sqrt{2}[/tex], which is proportional for isoscele triangle.

isosceles is the one that has 90° angle and 2 equal angles so two 45° angles.

[tex]\begin{bmatrix}\frac{1}{6} & \frac{1}{2} & \frac{1}{3} \\ \\ \frac{3}{6}& \frac{2}{6} & \frac{1}{6} \\ \\ \frac{1}{3} & \frac{4}{24} & \frac{1}{2} \\ \end{bmatrix} [/tex]

Explanation:

The magic square is a n×n square which contains different number and sum of all the number of any row or column gives same value.

in any magic square the sum values of all row or column is three time of the number in centre of the square.

in above magic square the middle number is 2/6

so we can calculate the final value by multiplying with 3,

[tex] \frac{2}{6} \times 3 = \frac{2}{ \cancel6}_2 \times \cancel3 = \cancel{\frac{2}{2}} = 1[/tex]

The magic number or sum of any row or column is 1,

using this we can find the missing,

in column first,

1/6 and 1/3 are given and middle term is missing

let the middle term be x now,

[tex]x + \frac{1}{6} + \frac{1}{3} = 1 \\ x = 1 - \frac{1}{6} - \frac{1}{3} \\ x = 1 - ( \frac{3 + 6}{18}) \\ x = 1 - \frac{9}{18} \\ x = \frac{18 - 9}{18} \\ x = \cancel \frac{9}{18} = \frac{1}{2} [/tex]

similarly we can solve for the 3rd fraction of second column,

let the third number be y,

[tex] \frac{3}{ 6} + \frac{2}{6} + y = 1 \\ y = 1 - \frac{3}{ 6} - \frac{2}{6} \\ y = 1 - \frac{5}{6} = \frac{1}{6} [/tex]

Now in first and third row, the third number is missing which can be calculated in same way.

The rough work and final calculation is attached!

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Answer:

Min is 51 and max is 75 and the the mediem is 63 and the q1 is 54 and q2 is 55 and 57 and q3 is 65 and 69

Step-by-step explanation:

the least is 51 and the most is 75 and the mean is 63 if u list them in order and than u find the quartiles that are between the median and 51 and q3 is between the median and the max.

Answer: ...

Ok done. Thank to me :3

Answer:

-14x-7y < 4

There is no equals sign so we know that is must be a dotted line

Add 14x to each side

-7y < 14x+4

Divide by -7, remembering to flip the inequality

-7y/-7 > 14/-7 x+4/-7

y > -2x -4/7

Y is greater so we shade above.

Well, at first consider the given equation, then will be solving for Part A) and B),

[tex]{:\implies \quad \sf 5+x-14=x-7}[/tex]

Subtracting x from both sides will yield ;

[tex]{:\implies \quad \sf 5-14=-7}[/tex]

[tex]{:\implies \quad \sf -9=-7}[/tex]

But, -9 ≠ -7, so their is no solution for values of x, as -9 can't be equal to -7 , so from definition of algebra, we can say that, their are no solutions for x, as there are no solutions for x, so nothing can be concluded from Part A and Part B

Answer:

Part A: -9 ≠ -7

no solution

Part B: below for the answers

Step-by-step explanation:

Part A: 5 + x - 14 = x - 7

subtract x on both sides

x - 5 + x - 14 = x - 7 - x

then, we take away the x's

5 - 14 = -7

-9 ≠ -7

there is no solution

Part B: 5 + -2 - 14 = -2 - 7

-11 ≠ -9

5 + 0 - 14 = 0 - 7

-9 ≠ -7

5 + 3 - 14 = 3 - 7

-6 ≠ -4

Answer:

1094.4

Step-by-step explanation:

assuming you want volume

Answer:

4:24 pm

Step-by-step explanation: I first drew it out on a time line and both buses came back together at 4:24 pm. I also looked at the common denominator was for both numbers, 6 and 8: 24.

To check my answer, I substituted other numbers and found that they came back together again at the LCD. Hope this helps.

Answer:

2d - 9.

Step-by-step explanation:

That would be

double d = 2d

subtract  9 = -9   to give:

2d - 9.

Answer:

[tex]\huge\boxed{\bf\:2 (-a - 6)}[/tex]

Step-by-step explanation:

[tex]6a - 4(2a + 3)\\6a - (4*2a + 4*3)\\6a - (8a + 12)\\6a - 8a - 12\\- 2a - 12\\\boxed{\bf\:2 (-a - 6)}[/tex]

Steps:

[tex]\rule{150pt}{2pt}[/tex]

Answer:

[tex]\Longrightarrow: \boxed{\sf{-2a-12}}[/tex]

Step-by-step explanation:

Use the distributive property.

[tex]\underline{\text{DISTRIBUTIVE PROPERTY:}}\\\\\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

First, multiply by expand.

⇒ -4(2a+3)

⇒ -4*2a=-8a

⇒ -4*3=-12

⇒ -8a-12

→ 6a-8a-12

Solve.

Add or subtract the numbers from left to right.

⇒ 6a-8a=-2a

= -2a-12

[tex]\Longrightarrow: \boxed{\sf{-2a-12}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer: 52 , 36 , 28

I goygot these numbers by following the rule . Each time you divide by 2 so u get the half and then add 10 . I see the numbers are even and they are decreasing so they are getting smaller . Hope it helps

Answer:

  ST = 6

Step-by-step explanation:

The segment sum is ...

  QR +RS +ST = QT

  QR +2 +ST = 10 . . . . use given values

Since R is the midpoint of QS, we know QR = RS = 2. Now, we have ...

  ST = 10 -2 -QR = 10 -2 -2 = 6

The length of ST is 6.

Answer:

210

Step-by-step explanation

One yard is equal to 3 feet so the simplest way is to divide the number of feet by 3 and that will give you your answer.

Answer:

210

Step-by-step explanation:

Answer: 16.666666 feet

Explanation: 25/9=x/6 (25*2)/3 =50/3 I hoped this helped you solve your problem. Have a good day love!

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The Height of the fence is 8 feet.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

tan(θ) = Perpendicular/Base

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

Given that a 25-foot tree casts a 6 1/4-foot shadow. Also, At the same time, a fence casts a 2-foot shadow.

Length of the shadow = 6 1/4 feet = 6 + 1/4 = 6.25 feet

Now, since the sun is at the same angle, therefore, the angle between the top of the object and the top of the its shadow will be the same for all the objects. Therefore,

tan(θ) = Height of the tree/Shadow of the tree = Height of the fence/Shadow of the fence

tan(θ) = 25 feet / 6.25 feet =  Height of the fence / 2 feet

Height of the fence = (2feet × 25 feet) / 6.25 feet

Height of the fence = 8 feet

Hence, the Height of the fence is 8 feet.

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Answer:

CE = 6

Step-by-step explanation:

we use the proportion relationship:

[tex]\frac{AB}{BD} = \frac{AC}{CE\\}\\then[/tex]

[tex]\frac{2}{3} = \frac{4}{CE}\\\\then[/tex]

2×CE = 3 ×4 (cross multiply)

then

2×CE = 12

then

CE = 12/2 = 6