Suppose customers arrive at a single-server ice cream parlor times 3, 6, 15, and 17. Further suppose that it takes the server 7, 9, 6, and 8 minutes, respectively, to serve the four customers. When does customer 4 leave the shoppe

Answers

Answer 1

9514 1404 393

Answer:

  time 33

Step-by-step explanation:

The first customer arrives at time 3, and is finished being served at time 3+7 = 10.

The second customer arrives at time 6, so waits until time 10 to be served. The second customer is finished being served at time 10+9 = 19.

The third and fourth customers arrive at times 15 and 17. The third customer waits until time 19 to be served, and is finished being served at time 19+6 = 25.

The fourth customer waits until time 25 to be served, and is finished being served at time 25+8 = 33.

The fourth customer leaves at time 33.


Related Questions

HELPP HELPPP ????pls

Answers

Answer:

B) the interquartile range of the data set is 2

Step-by-step explanation:

To find the interquartile range you have to subtract Q3-Q1. Which would be 3-1 and the answer is 2.

Hope this helped :)

PLEASE HELP!!
The domain of a function f(x) is x <_ 0, and the range is y <_-1. What are the domain and range of its inverse function, f-1(x)?

Answers

Answer:

Option D.

Step-by-step explanation:

Domain and range of inverse function:

The domain of the inverse function(x values) is the range(y values) of the original function.

The range of the interse function(y values) is the domain of the original function(x values).

Original function:

Domain: [tex]x \geq 0[/tex]

Range: [tex]y \leq -1[/tex]

Inverse function:

x values in the domain of the inverse function are the y values in the range of the original function. So

Domain: [tex]x \leq 1[/tex]

Same for range(exchange of y and x).

Range: [tex]y \geq 0[/tex]

The answer is given by option D.

One half of one tenth is what fraction?

Answers

Answer:

1/2  1/100

Step-by-step explanation:

One half of one tenth is  [tex]\frac{1}{20}[/tex] fraction.

What is a fraction?

A number that expresses parts of a whole object or a set of objects is known as a fraction.

Given

One half of one tenth

Rewriting in mathematical form

= [tex]\frac{1}{2} (\frac{1}{10} )[/tex]

= [tex]\frac{1}{20}[/tex]

Hence, One half of one tenth is  [tex]\frac{1}{20}[/tex] fraction.

Learn more about fraction here

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pls i need help i’ll give brainliest!

Answers

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

The rule here is that the product of the lengths from the external point of intersection (angle vertex) to the intersections with the circle is the same for both secants. The tangent counts as intersecting the circle twice. So, we have ...

  (6)(6) = (3)(x)

  x = 36/3 = 12 . . . . . divide by the coefficient of x

How to solve x/7 = 7

Answers

Answer:

x = 49

Step-by-step explanation:

x/7 = 7

Multiply each side by 7

7* x/7 =7* 7

x = 49

A population of 950 bacteria grows continuously at a rate of 4.75% per day.
Write an exponential function, N (t ), that represents the bacterial population after t days.

Answers

860N(t) would be the answer just divide the percentage with the population

f(x) = –?
+ x
Find f(-1)

Answers

Answer:

Replace the variable x with −1

in the expression.

f(−1)=−(−1)²−1

Simplify −(−1)²−1.

Remove parentheses.

−(−1)²−1

Multiply −1 by (−1)²

by adding the exponents.

(−1)³−1

Raise −1 to the power of 3.

−1−1

Subtract 1 from −1.

−2

Step-by-step explanation:

Hope it's right

PLEASE HELP
Makayla owns a small business selling used books. She knows that in the last week 58 customers paid cash, 25 customers used a debit card, and 2 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.

Answers

Answer:

2/5 :)

Step-by-step explanation:

58+2=60+25=85-25=60 60 = 2/5

The solution is 5/17

The probability that the next customer will pay with a debit card is given by the equation A = 5/17

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the probability that the next customer will pay with a debit card be A

Now , the equation will be

The number of customers who paid cash last week = 58 customers

The number of customers who used debit card last week = 25 customers

The number of customers who used credit card last week = 2 customer

So ,

The total number of customers = 58 + 25 + 2

The total number of customers = 85 customers

Now , the probability that the next customer will pay with a debit card A = number of customers who used debit card last week / total number of customers

Substituting the values in the equation , we get

Probability that the next customer will pay with a debit card A = 25 / 85

On simplifying the equation , we get

Probability that the next customer will pay with a debit card A = 5 / 17

Therefore , the value of A is 5/17

Hence , the probability is 5/17

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help me pass thank you!!!

Answers

Answer:

64

Step-by-step explanation:

[tex] (\frac{m^{2} }{m + 3} )^{3} \\ = \frac{m^{6} }{(m + 3)^{3} } \\ = \frac{6 {}^{6} }{{9 {}^{3} } } [/tex]

46656/729

= 64

How can we represent three-dimensional figures in only two dimensions?

Answers

just add , multiply .

Answer: A three-dimensional figure has a length, a width, and a height. A net is a two-dimensional pattern of a three-dimensional figure, that can be folded to form the figure. Identify the net that we could fold in order to create this 3D figure. Match the 3D figure to the right with its appropriate net, below.

A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato wants to pull a blue pen from the bag. What is the sample space for this experiment? 1. Blue, Red 2. Blue 3. Red, Blue, Black 4. Red, Black

Answers

2...............blue

Answer:

Red and blue is the correct answer

Step-by-step explanation:

PLEASE HELP MEEEEEEE! JUSTIFY​

Answers

Answer:

Step-by-step explanation:

a.12÷36/7=7/3

12*7/36

84/36

7/3

b.let the number be x

x*1/2=x/2

x*1/2

x/2

A- True

12÷36/7 = 2.333...

7/3 = 2.333....

Hence it's true

B- True

Consider Any random number eg 10

multiplying it by 1/2 gives 5

and dividing by 2 also gives 5

hence it's true.

C- False

3/2 = 1.5

multiplying it to any number will produce half of the number more.

A right circular conical tank of height 1 foot and radius 1 foot at the top is full of water. Taking the density of the water to be 60 pounds per cubic foot, how much work in foot-pounds is required to pump all the water up and over the top of the tank

Answers

Answer:

Step-by-step explanation:

Height= 1 foot

Radius= 1 foot

Density= 60 pounds per cubic foot

Density = mass/ volume

Vol of cone= 1/3× 22/7 ×(radius^2)

=1/3×22/7×1×1

=22/21

Mass=volume × density

= 22/21 × 60

=440/7

Energy = mgh

= 440/7 ×10 × 1

= 628.57 foot pounds

the perimeter of a rectangle is 90m. The length is three less than five times the width. What is the length and the width of the rectangle?

Answers

Answer:

length : 37 m

width : 8 m

Step-by-step explanation:

perimeter = 2×l(ength) + 2×w(idth) = 90

l = 5w - 3

=> 2×(5w-3) + 2w = 90

10w - 6 + 2w = 90

12w = 96

w = 8

=> l = 5w - 3 = 5×8 -3 = 40-3 = 37

if teen romance had 20% in a circle graph and 4,000 books were signed out in the summer how many of them were teen romance

Answers

Answer:

800 Books were signed out

Step-by-step explanation:

20% of 4000 is 800

Hi there!  

»»————- ★ ————-««

I believe your answer is:

800 books.

»»————- ★ ————-««  

Here’s why:  

As mentioned in the question, there are 4,000 books signed out during the summer.20% out of the 4,000 were teen romance books.

⸻⸻⸻⸻

[tex]\boxed{\text{20 Percent of 4,000:}}\\\\\rightarrow 4,000* (20/100)\\\\\rightarrow \boxed{800}[/tex]

⸻⸻⸻⸻

There should be 800 books that were teen romance.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

NEED HELP ASAP OR NOW!!!

1. Which of the following statements best represents the graph?

A. After one month of service, the cost of internet is $45.

B. After 60 months of service, the cost of internet is $1.

C. After one months of service, the cost of internet is $60.

D. After 5 months of service, the cost of internet is $210.


PLEASE ALSO ANSWER THE QUESTION BELOW.


2. Which is the correct equation best reflects to the graph above on question 1?

A. Y = 90x

B. Y = 180x

C. Y = 45x

D. Both B and C




Answers

the first question would be A and Cis the answer for the second question!!
The second is A and the first one is b

Hey guys can u please help me asap

Oil from uncapped well is radiating
outward in the form of circular film
on the surface of the water. If the
radius of a circle is increasing at
the rate of 10 meters per minute,
how fast is the area of the oil film
growing in square meters per
minute at the instant when the
radius is 22 meters?

Answers

Answer:

Step-by-step explanation:

Area of the circle = 1400π

ie. πr^2 = 1400π . ie r^2 =1400. So r=10√14

Area A = πr^2.Differentiate w.r.t.t

dA/dt = 2πr. dr/dt

900 = 2×π×10√14 .dr/dt

So. dr/dt = 900/2×π×10√14 = 45/π√14 m/sec.

Hope this answer helps you :)

Have a great day

Mark brainliest

Following are the introduced the accompanying observations on bond strength.

11.5 12.1 9.9 9.3 7.8 6.2 6.6 7.0 13.4 17.1 9.3 5.6 5.7 5.4 5.2 5.1 4.9 10.7
15.2 8.5 4.2 4.0 3.9 3.8 3.6 3.4 20.6 25.5 13.8 12.6 13.1 8.9 8.2 10.7 14.2
7.6 5.2 5.5 5.1 5.0 5.2 4.8 4.1 3.8 3.7 3.6 3.6 3.6

Required:
Estimate true average bond strength in a way that conveys information about precision and reliability.

Answers

Answer:

Average strength of bond = 8.08 (Approx.)

Step-by-step explanation:

Given data;

11.5  12.1  9.9  9.3  7.8  6.2  6.6  7.0  13.4  17.1  9.3  5.6  5.7  5.4  5.2  5.1  4.9  10.7   15.2  8.5  4.2  4.0  3.9  3.8  3.6  3.4  20.6  25.5  13.8  12.6  13.1  8.9  8.2  10.7  14.2  7.6  5.2  5.5  5.1  5.0  5.2  4.8  4.1  3.8  3.7  3.6  3.6  3.6

Find:

Average strength of bond

Computation:

Average mean = Sum of all observation / Number of observation

Average strength of bond = [11.5 + 12.1 + 9.9 + 9.3 + 7.8 + 6.2 + 6.6 + 7.0 + 13.4 + 17.1 + 9.3 + 5.6 + 5.7 + 5.4 + 5.2 + 5.1 + 4.9 + 10.7 +  15.2 + 8.5 + 4.2 + 4.0 + 3.9 + 3.8 + 3.6 + 3.4 + 20.6 + 25.5 + 13.8 + 12.6 + 13.1 + 8.9 + 8.2 + 10.7 + 14.2 + 7.6 + 5.2 + 5.5 + 5.1 + 5.0 + 5.2 + 4.8 + 4.1 + 3.8 + 3.7 + 3.6 + 3.6 + 3.6] / 48

Average strength of bond = [387.8] / 48

Average strength of bond = 8.0791

Average strength of bond = 8.08 (Approx.)

Kirk ran 7 1/2 miles around the track. Each lap is 2 1/2 miles. How many laps did Kirk run?

Write your answer as a fraction or as a whole or mixed number.

Answers

Kirk ran 3 laps around the track.

7 1/2 divided by 2 1/2 = 3

A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The results are given below. Construct a​ 95% confidence interval for the mean difference between the before and after scores. Is there evidence to suggest the logic course improves abstract reasoning? You may assume that the differences for the dependent samples are normally distributed.
Before 74, 83, 75, 88, 84, 63, 93, 84, 91, 77
After 73, 77, 70, 77, 74, 67, 95, 83, 84, 75
Note : define d = before - after, then đ = 3.7 and s = 4.95

Answers

Answer:

The right answer is "[tex]0.2<\mu d<7.2[/tex]".

Step-by-step explanation:

The given values are:

[tex]\bar{x_0} = 3.7[/tex]

[tex]s_o=4.95[/tex]

[tex]t_{\frac{0.05}{2} }=2.2621[/tex]

As we know,

95% confidence for [tex]\mu_0[/tex] will be:

= [tex]\bar{x_0} \pm t_{\frac{0.05}{2} },n-1\times \frac{s_o}{\sqrt{n} }[/tex]

The lower bound will be:

= [tex]3.7-2.2621\times \frac{4.95}{\sqrt{10} }[/tex]

= [tex]0.16\simeq 0.2[/tex]

The upper bound will be:

= [tex]3.7+2.2621\times \frac{4.95}{\sqrt{10} }[/tex]

= [tex]7.23\simeq7.2[/tex]

Thus the right answer is "[tex]0.2<\mu d<7.2[/tex]"

Laurel used 12 1/2 Square feet of cloth to make three dresses how many square feet of cloth required to make 12 similar dresses?

Answers

Answer:

150 square feet

Step-by-step explanation:

12 1/2 * 12 = 150

PLEASE HELP!!
The batteries from a certain manufacturer have a mean lifetime of 860 hours, with a standard deviation of 70 hours. Assuming that the lifetimes are normally
distributed, complete the following statements.
(a) Approximately of the batteries have lifetimes between 790 hours and
930 hours.
Example
(b) Approximately 95% of the batteries have lifetimes between hours and
hours.

Answers

Answer:

A) 99.74%

B) 633.6 hours and 986.4 hours

Step-by-step explanation:

Solution :

Given that ,

mean =  u =810

standard deviation = sigma  = 90    

P(540< x <1080 ) = P[(540-810) /90 < (x - u   ) /  sigma < (1080-810) /90 )]

= P( -3< Z < 3)

= P(Z <3 ) - P(Z < -3)

Using z table    

=0.9987-0.0013

= 0.9974

answer=99.74%

(B)

middle 95% of score is

P(-z < Z < z) = 0.95

P(Z < z) - P(Z < -z) = 0.95

2 P(Z < z) - 1 = 0.95

2 P(Z < z) = 1 + 0. 95= 1.95

P(Z < z) = 1.95/ 2 = 0.975

P(Z <1.96 ) = 0.975

z  ±1.96    

Using z-score formula  

x= z * sigma  +  u

x= -1.96* 90+810

x= 633.6

Using z-score formula  

x= z * sigma  +  u

x=1.96* 90+810

x= 986.4

633.6 hours and 986.4 hours

Find the multiplicative inverse of:

[tex]4 \times \frac{ - 7}{8} [/tex]
[tex] \frac{ - 5}{6} \times \frac{2}{7} [/tex]

Answers

Answer:

Step-by-step explanation:

first no answer=1/4*8/-7 =8/-28

second no answer=6/-5*7/2 =42/-10

PLEASE HELP I WILL MARK BRAINLIST

Answers

Answer:

the are would be 18

Step-by-step explanation:

bc 2x3=6 and then 4x3=12 so 12+6=18

Area of square + area of rectangle = area of whole figure
2 *2 + 2( 4 x 3 ) = 4+ 24= 28in*2

Sami made 23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What was his hourly pay rate?

Answers

Answer:

$15 per hour

Step-by-step explanation:

30 hours per week x 52 weeks in a year = 1560 hours per year

23,400 / 1560 = $15 per hour


a square is 44 metre long its perimeter is ​

Answers

Answer:

Answer. = 176 m sq.

Step-by-step explanation:

Hope it helps you

Have a nice day

176 m my friend atleast I think that’s what it is

a box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides. let x represent the lenght pf the sides of squares removed from each corner.
What are the factors of this polynomial?

Answers

Step-by-step explanation:

Given that,

A box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides.

Let x represent the length of the sides of squares removed from each corner.

(a) The volume of a cuboid is given by :

V = lbh

Put values,

V = x(40-2x)(40-2x)

(b) (40-2x) = -2(x-20)

So,

V = x(40-2x)(40-2x)

= [tex]4x\left(x-20\right)^2[/tex]

(c) [tex]4x\left(x-20\right)^2=4x^3-160x^2+1600x[/tex]

It is a cubic polynomial. Its degree is 3.

Given a variance of 1992.8, what is the standard deviation?


about 44.64


about 43.13


about 43.76


about 45.20

Answers

Answer:

About 44.64.

Step-by-step explanation:

Variance and standard deviation:

The standard deviation is the square root of the variance.

In this question:

Variance of 1992.8. So

[tex]s = \sqrt{1992.8} = 44.64[/tex]

So about 44.64.

A rectangular prism has a length of 5 meters, a width of 6 meters, and a height of 3 meters.
What is the volume of the prism?

Pls hurry
Give Brainlyest

Answers

90 meters
6 x 5=30
30 x 3= 90

volume = length x width x height

volume = 5m x 6m x 3m = 90 m³

Josh says that -5/4 has the same quotient as 5/-4 Is this true or false?
True
False

Answers

the answer to this is true
Trueeeeeeeeeeeeeeeeeee
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