Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 12 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.)

Answer:

38.7126

step-by-step explanantion:

so it's technically 33 percent off because the taxes is 7 percent.

and 33 percent of 57.78 is 19.0674. so 57.78-19.0674 will equal 38.7126

The original cost of the bathing suit without tax or the discount is $38.72.

The term "discount" refers to a pricing scheme in which a commodity's (goods or services) price is lower than its marked price. Simply said, a discount is a proportion of the advertised price.

The bathing suit is 40%off including 7% tax.This means that the discount of 40% includes the tax of 7%.Thus the discount without tax will be calculated by: 40%-7%=33%

Now we will calculate the discount without tax on the final cost of the bathing suit, i.e, 33% of the final cost.

[tex]\frac{33}{100} \times 57.78=19.06[/tex]

So, we get a discount of $19.06 on the final cost.Then the original cost of the bathing suit without the tax or the discount will be the final cost less than the discount: $57.78-$19.06=$38.72

So, the original cost of the bathing suit without tax or the discount is $38.72.

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Answer:

[tex] c^{-1}d^7 [/tex]

Step-by-step explanation:

You are multiplying factors with the same base, so add the exponents of the same base.

c^0d^7 × c^-1d^0 = c^0c^-1 × d^7d^0 = c^(0-1)d(7+0) = c^-1d^7

Answer: (dc)⁶

Step-by-step explanation:

Apply exponent rule: a⁰=1

This means c⁰=1 and d⁰=1 leaving the equation d⁷·c⁻¹

This then becomes d⁷/c though since they don't want a denominator we will have to change it.

Apply quotient rule of exponents: aᵇ÷aⁿ=aᵇ⁻ⁿ

This leaves us with (dc)⁶

Answer:

3/6+2/6 or 1/6+1/6+1/6+1/6+1/6

Step-by-step explanation:

when you decompose a fraction ask yourself "what will add up to the numerator of the fraction?" when decomposing keep denominator the same.

3+2=5. answer 5/6

Answer: 1/5

Step-by-step explanation:

Answer:

32294643

Step-by-step explanation:

You can first set up a proportion.

22.4/100 = 7234000/x

723400000 = 22.4x

x = 32294642.8571 ≈ 32294643

I hope this is correct and that it helps!

Answer:

[tex](x+5)^2+(y-2)^2=36[/tex]

Step-by-step explanation:

The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius, thus:

[tex](x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-2)^2=6^2\\(x+5)^2+(y-2)^2=36[/tex]

This means that our equation for the given circle is [tex](x+5)^2+(y-2)^2=36[/tex]

Answer:

After 25 minutes

Step-by-step explanation:

The answer is C

Answer:

Step-by-step explanation:

Louise: Water = 4.6 + 1.2*t gallons of water

Isaac: Water = 54.6 - 0.8 * t t is in minutes.

When will the two amounts of water be equal

When the two waters are the same.

4.6 + 1.2*t = 54.6 - 0.8t           Add 0.8t to both sides

4.6 + 1.2*t + 0.8*t = 54.6         Combine the left

4.6 + 2t = 54.6                        Subtract 4.6 from both sides.

4.6-4.6 + 2t = 54.6 - 4.6         Combine

2t = 50                                    Divide by 2

t = 50/2

t = 25

Answer: both aquariums will have the same amount of water in 25 min

Answer: C  

Answer:

a = 7, b = 9, c = 4

Step-by-step explanation:

Hope it helps you in your learning process.

[tex]7^{\frac{9}{4}}= \sqrt[4]7^{9}\implies\sqrt[c]a^{b}[/tex]

On comparing, we find:

a = 7, b = 9, c = 4

Answer:

[tex] \sf \: a = 7,\: b = 9,\: c = 4[/tex]

Step-by-step explanation:

[tex] {7}^{\frac{9}{4}} [/tex] we have to write in the form [tex] \sf \: {}^{c} \sqrt{ {a}^{b} } [/tex]

[tex] {a}^{ \frac{1}{b} } = {}^{b} \sqrt{a} [/tex]

[tex] {a}^{b} = {a}^{b}[/tex]

from there we can write.

[tex] {7}^{3 \times \frac{1}{4} } = {}^{4} \sqrt{ {7}^{9} } [/tex]

Comparing with [tex] \sf \: {}^{c} \sqrt{ {a}^{b} } [/tex]

c = 4 , b = 9, a = 7

Answer:

13

Step-by-step explanation:

First, to find out how many book fit on one shelf, you will need to divide the total number of books by the toal number of shelves:

36 books / 3 shelves = 12 books/shelf

Because the question says that the bookstore order another 120 copies, this is means that the 120 books is in addition to the original 36 books.

Because we already know that the 36 books require 3 shelves, we still need to find how many shelves 120 books needs. So, we can divide books by number of how many books can fit on a shelf:

120 books / 12 books per shelf = 10 shelves

So to find the total number of shelves needed, add the number of shelves together:

3 + 10 = 13 shelves

Answer:

2

Add negative 4 to positive 6, which is 4 - 6 but backwards, and that gives you 2

Or subtract 0 by 4, then add 2 which is -4 because you are subtracting 4 by 0 instead of 0 by 4, which would be four.

[tex]way~1\\4 - 6 = 2\\\\way~2\\(0 - 4) + 6 = 2[/tex]

Answer:

A. 25 books

Step-by-step explanation:

James has 100 comic books and sells 1/4 of his collection. This means that the amount of comic books that he sold is 1/4 of 100 since 100 is the total amount of comic books that he has. To calculate that, we divide 100 by 4 to get 25. Therefore, James sells 25 books.

Answer:

(3,0)

Step-by-step explanation:

I hope this helps. I think this is right.

Answer:

B. 12 days

Step-by-step explanation:

This can be set up as an equation:
64x = 768, where x represents the days it will take to achieve 768 doughnuts.

Divide both sides by 64.

x = 12.

It will take 12 days to make an additional 768 doughnuts.

Answer:

I think 9

Step-by-step explanation:

5+5+5+5+5+6+21+5+5 = 61

Answer:

[tex]x = \frac{2}{21} [/tex]

Step-by-step explanation:

That's the correct answer

Step-by-step explanation:

What did u want

Rewriting in standard form:

[tex]2x - 6y = - 21[/tex]

X - intercept:

[tex]x = - \frac{21}{2} [/tex]

y intercept:

[tex]y = \frac{7}{2} [/tex]

y = 1/3x + 7/2

so the slope is 1/3

Answer:

My reasoning for saying both is because the shape is a unique plane. Bilateral symmetry is the term used for when a unqiue shape is folded in any direction and looks the same, while rotational symmetry is when a shape looks the same after a rotated half-turn.

Trick: Fold the shape by the bottom diagonal left side, folding the top left end, then do a rotational turn on the top right corner, fold in the bottom, and it shapes like a rectangle.

hope this helps...

Answer:

Step-by-step explanation:

Factorize the expression.

Sum = 7

Product = 12

Factors = 4 , 3

4 + 3= 7 & 4*3 = 12

x² + 7x + 12 = x² + 4x + 3x + 4*3

                 = x(x + 4) + 3(x + 4)

                 = (x + 4)(x + 3)

Sum = -1

Product = -12

Factors = (-4) , 3

(-4) + 3 = (-1)   & (-4)*3 = -12

x² - x - 12 = x² - 4x + 3x - 4*3

               = x(x - 4) +3(x - 4)

               = (x -4)(x +3)

[tex]\sf \dfrac{x^{2}+7x+12}{x^{2}-x-12}=\dfrac{(x+4)(x + 3)}{(x -4 )(x + 3)}\\\\\bf \text{(x +3) in the numerator and denominator will get cancelled}[/tex]

                   [tex]=\dfrac{x+4}{x-4}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Both ends point down

Step-by-step explanation:

SInce this function is even, and the leading coefficient is negative, both ends will point in the negative direction.

Answer:

  (D)

Step-by-step explanation:

The area of a rectangle is the product of length and width. We can solve this formula to find the width:

  A = LW

  W = A÷L . . . . . . divide both sides of the equation by L

__

For the given area and length, this looks like ...

  [tex]W=\boxed{\dfrac{1}{2}\div\dfrac{2}{3}}[/tex]

Answer:

can u add a picture cause i dont understand what ur saying at all

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

You're looking for the percentage that "did not complete the marathon" So take the 25 that gave up and the 3 that were disqualified and add those. Then divide 260 by your sum of those groups. Your expresssion should be 260/28 which gives you the decimal 9.28571429. Your answer would be 9 because this question doesn't ask for a decimal answer.

Answer:

(8,6)

Step-by-step explanation:

Refer to the graph below

Answer:

2a+2b=360

2(60)+2b=360

120+2b=360

2b=360-120

2b/2=240/2 divide by 2

b=120

step 2

2a+2b=360

2(60)+2(120)=360

120+240=360

360=360

2a+2b=360

2(75)+2b= 360

150+2b=360

2b=360-150

2b/2=210/2

b=105

step 2

2a+2b=360

2(75)+2(105)=360

150+210=360

360=360

Answer:

3

Step-by-step explanation:

10 = 3

? 1 cross product

10/3=3.33

Answer:

130.488

Step-by-step explanation:

if the extra numbers aren't there don't worry they just don't count them its 130.

HOPE THIS HELPED!!!!!

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Answer:

4

Step-by-step explanation:

Answer:

90% of 4 = 3.6 I believe that this is the answer

Answer:

-36 is the sum of the numbers all you have to do is try to find the answer to get to -36