n an amusement park, the bumper cars are sometimes becoming disabled and in need of repair. The repairman can fix the disabled bumper cars in an average time of 20 minutes with a standard deviation of 20 minutes. Cars tend to break down at two per hour between two consecutive breakdowns following an exponential distribution. What is the total time for a disabled bumper car to be fixed

Answers

Answer 1

Answer:

1 hour 20 minutes

Step-by-step explanation:

Time to fix car ( repair time ) = 20 minutes

Breakdown rate ( λ )  = 2 car per hour

first step : determine service the service rate ( μ )

= 60 minutes / 20 minutes

= 3 cars per hour

next : determine the average waiting time for a disabled car

=  1 / (μ - λ)

= 1 / service rate - breakdown rate

= 1 / ( 3 - 2 )

= 1 / 1 =  1 hour

Finally Total time for a disabled car to be fixed

= repair time + average waiting time

= 20 minutes + 60 minutes

= 1 hour 20 minutes


Related Questions

Please help me fast i need help
First question: less or greater
Second question: decrease or increase
Third question: would or would not
fourth question: correct or incorrect
You have to choose the answer's
Ok

Answers

Answer:

Look at the image.

Step-by-step explanation:

Which is less: an angle showing a turn 1/3 of a circle or an angle showing a turn through1/4 of a circle ?

Answers

Answer:

1/4 of a circle is less

Step-by-step explanation:

1/4=90°

1/3=120°

Please helo me with the following question.



What is the sum of 150,000 times 130,000?

150,000
x 130,000
__________
?????????????​

Answers

19,500,000,000 brainliest

Answer:

19500000000

Step-by-step explanation:

Answer needed Answer needed!

Answers

Answer:

I plotted points since i cant draw lines very well with a mouse

Step-by-step explanation:

Answer:

(-1,1); (-4,1); (-4,3)

Step-by-step explanation:

You are going to move it to the left. The point closest to the y-axis (1,1) will now be (-1,1). The point all the way to the right on the bottom will be (-4,1) and the top right point will be (-4,3). Hope this helps!

For a parallelogram with a long side that is 4 times the length of its short side find the area if the height from the long side is 23 and the perimeter is 125.

a. 2,875
b. ~ 514.3
c. 1,150
d. 2,200

Answers

9514 1404 393

Answer:

  c.  1150 square units

Step-by-step explanation:

The sum of the two side lengths is half the perimeter, so is 125/2 = 62.5 units. The long side is 4/5 of that, so is 50 units.

The area is the product of the long side and the height to the long side:

  A = bh

  A = (50 units)(23 units) = 1150 units²

__

Additional comment

This geometry is impossible, because the height from the long side cannot be more than the length of the short side. Here, the short side is 12.5 units, so it is not possible for the height to be 23 units.

If the height is measured from the short side, then the area is 287.5 square units.

Patrica buys a total of 5 party hats and 5 balloons for the children at a party. Each party hat costs $0.50. Patrica spends a total of $7.50 for the party hats and the balloons. Enter an equation that models the situation with b, the cost of 1 balloon.

Answers

Answer:

b=2.5-7.50

Step-by-step explanation: so 5 party hats cost 50 cents, so times that by 5 to get 2.50, and then use the 7.50 and minus it.

Find the surface area of the rectangular prism (type the number
only)
2.6
4.2 ft
6.8 ft
HELP

Answers

74.256 I think . If rounded put 74.3

PLS HELP Given
m

n
m∥n, find the value of x and y.
m
n
(6x-10)°
(5x+1)°
y

Answers

Step-by-step explanation:

ufxf7tdod8d7dixurdsurdux

Mr. Halsey leans a ladder against an 11.5 foot wall the bottom the of the ladder is 3.5 ft from the base of the wall as shown what is the approximate length of the ladder​

Answers

Answer :12 feet
Explanation :(x)^2=(11.5)^2+(3.5)^2
X^2=132.25+12.25
X^2=144.5 then square root it
X=12 feet

Hence, the approximate length of the ladder​ is [tex]12ft[/tex].

What is the approximation value?

An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.

A calculation can be approximated by rounding the values within it before performing the operations.

Here given that,

[tex](x)^2=(11.5)^2+(3.5)^2\\X^2=132.25+12.25\\X^2=144.5 \\X=\sqrt{144.5}\\X=12 feet[/tex]

Hence, the approximate length of the ladder​ is [tex]12ft[/tex].

To know more about the approximation value

https://brainly.com/question/29580932

#SPJ2

Josie has a standard number cube and a fair coin. What is the probability that Josie will roll a 3 and flip a tail?

A) 1/4
B) 1/6
C) 1/8
D) 1/12

Answers

B) 1/6 because if you roll 2 times it would be 3 times 2 or 3 plus 3 which both equal 6
1/6 because the cube has four sides and the coin has two

Cole knows that r/s = t for integers r, s, and Based on what Cole knows which of the following equations is NOT true?



A. -r/-s =t


B. -r/s =-t


C. -r/-s =-t


D.r/-s =-t

Answers

c because -t=-r/-s equals -t=r/s

it takes jackie 2 hours to make 9 bracelets how many bracelets can she make in 8 hour's?​

Answers

Answer:

8b = 96

Step-by-step explanation:

Cara's muffin recipe calls for 1 1/4 cups of flour for the muffins and 3/4 cups of flour for the topping. If she makes 1/2 of the original recipe, how much flour will she use?

Answers

Answer:

3/2 X 1/4 +1/2

Step-by-step explanation:

Try using that to work out the answer.

What is the length of YZ?

Answers

Answer:

28.6 units

Step-by-step explanation:

44/36=35/YZ

44 YZ = 35*36

44 YZ = 1260

YZ = 28.6 units

28.6 or 27.6 but I’m pretty sure it’s 28.6

find the slope of the line going through the points (-3,0) and (-3,11)

Answers

Answer:

m = undefined

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (-3, 0)

Point (-3, 11)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{11-0}{-3--3}[/tex][Fraction] Subtract:                                                                                           [tex]\displaystyle m = \frac{11}{0}[/tex][Fraction] Simplify:                                                                                            m = undefined

∴ We have a vertical line at x = -3.

Which fraction is equivalent to
1/3

Answers

Answer:

there's many! three examples of equivalent fractions to 1/3 are: 3/9 9/27. and 27/81

Hope that helps!

The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.
How much tax would you pay on that item?

Answers

9514 1404 393

Answer:

  $5.54

Step-by-step explanation:

 8.8% of $63 is ...

  0.088×$63 = $5.544

The tax is rounded to the nearest cent, so you would pay $5.54 in tax.

Answer: 5.54

Step-by-step explanation: khan said it was correct

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). 7 The measure of angle Ois 4. The measure of its reference angle is °, and tan is​

Answers

The measure of the trigonometric relations is tan θ = -1 when the reference angle θ = 315°

What is Reference Angle?

Every angle is measured from the positive part of the x-axis to its terminal line (the line that determines the end of the angle) traveling counterclockwise. For angles in the first quadrant, i.e., angles less than or equal to 90 degrees, the reference angle is equal to the original angle.

The reference angle is always positive

0° to 90°: reference angle = angle

90° to 180°: reference angle = 180° - angle

180° to 270°: reference angle = angle - 180°

270° to 360°: reference angle = 360° - angle

Given data ,

Let the reference angle be represented as R

Now , the value of R is R = 315°

And , the measure of angle θ = 7π/4

The reference angle θ = 315°

So , the value of tan ( 315 )° = -1

Hence , the trigonometric value tan ( 7π/4 ) = -1

To learn more about reference angle click :

https://brainly.com/question/6241391

#SPJ7

The complete question is attached below :

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). 7 The measure of angle Ois 4. The measure of its reference angle is °, and tan is​

The sales tax charged on a $40 dress was $3.20. What is the sales tax rate charged on the dress?

Answers

Answer:

It's 8%

Step-by-step explanation:

3.20 divided by 40 = 0.08

0.08 = 8% therefore $3.20 divided by $40.00 = 8% sales tax

determine the most appropriate hypothesis test to use for the following scenario: the august 2008 edition of academy of management journal featured an investigation of the performance and tiing of corporate acquisitions. the investigations discovered that in random sample of 2778 firms, 748 annouced one or more acquisitions during the year 2000. does the sample provide suffcient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 30%

Answers

Answer:

Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%

Step-by-step explanation:

Testing  hypothesis about a population proportion when sample size is large.

If the sample size is large then the variable

z= p^-p / sqrt [pq/n]

is approximately standard normal.

Formulate the hypotheses as

H0 : p < 30%   against the claim Ha: p ≥ 30%

Choose the significance level ∝= 0.05

the critical region is z ≥ 1.645 because the alternative hypothesis is stated on a greater  than or equal to basis.

Computing

Z= 748-(2778*0.3)/ √2778*30/100*70/100

z= 748-833.4/√583.38

z= -85.4/24.153

z=-3.5357

Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%

The p- value is 0.0002

The Smiths painted their house blue. The complete predicate of this sentence is _____.

Smiths
the Smiths

Answers

the smiths but i am not sure

need it asap!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

perimeter=2(l+w)

26=2(2x-2+10-x)

26=2(x+8)

26/2=x+8

13=x+8

13-8=x

5=x

Answer:

x=5

Step-by-step explanation:

a=2x-2

b=10-x

Formula

2 x(a+b)=26

(2x-2)+(10-x)=26/2

2x-x-2+10=13

x+8=13

x=13-8

x=5

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

[tex]9\frac{x}{y} -10-\sqrt{x} 5[/tex]

Answers

Possible asks from the question?!

Boris started to run on a treadmill after setting its timer for 92 minutes. The display says that he has finished 73% of his run. How many minutes have gone by?
Round your answer to the nearest tenth.

Answers

Answer:

67 minutes

Step-by-step explanation:

Help pls someone can someone help me pls pls

Answers

Answer:

Mo is correct because when you divide 66.25 from both sides it is 12.

Step-by-step explanation:

what number shoild come next 100,96,88,72​

Answers

Answer - 40

----------

100 - 4

96 - 8

88 - 16

72 - 32

If the radius of the circle x² + y2 - 4x - 6y - k = 0 is
4 units, find the value of k.

Answers

Answer: 3

Step-by-step explanation:

Given

The equation of the circle is [tex]x^2+y^2-4x-6y-k=0[/tex]

Using completing the square method

[tex]\Rightarrow x^2+y^2-4x-6y+4-4+9-9-k=0\\\Rightarrow \left( x^2-4x+4\right)+\left( y^2-6y+9\right)-\left( k+4+9\right)=0\\\Rightarrow \left( x-2\right)^2+\left( y-3\right)^2=\left( k+13\right)[/tex]

on comparing with standard form,  [tex]r^2=k+13[/tex]

Insert the value of r

[tex]\Rightarrow 4^2=k+13\\\Rightarrow k=16-13\\\Rightarrow k=3[/tex]


f(x) = 22c2 – 10x + 11

What is f(4)?

A) 3

B) 99

C)128

D) 52

Answers

Answer:

A

Step-by-step explanation:

B IS WRONG

C IS WRONG

Solve the following: You purchase a set of Bluetooth earbuds for $45 and use a $5 off manufacturer's coupon. If sales tax is 8.25%, how much do you pay for the earbuds? Include the dollar sign in your answer and round to two decimal places.

Answers

Answer:

43.3

Step-by-step explanation:

45-5=40,

0.0825*40=3.3

40+3.3=43.3

Find the length of side x in simplest radical form with a rational denominator.

Answers

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The given triangle is a right angled triangle,

therefore, by using trigonometry :

[tex] \boxed{ \cos(45) = \frac{6}{x} }[/tex]

[tex] \frac{1}{ \sqrt{2} } = \frac{6}{x} [/tex]

[tex]x = 6 \sqrt{2} [/tex]

[tex]x = 8.485 \: \: units[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Other Questions
EASY MATH PLEASE HELPNO LINKS PLEASEEXPLANANTION REQUIREDI WILL GIVE BRAINLIEST: ) HINT: THE ANSWER IS NOT A Which of the following BEST describes the Great Migration?A. Many African Americans moved to the North for better jobs.B. Many Americans left their useless lands and moved west.C. Many Canadians moved to the northern United States.D. Many Europeans moved to the United States for better jobs. find the area of the polygon Many professional athletes and entertainers earn large sums of money. Do you agree or disagree with these individuals making high salaries? Use specific details and examples to convince others to support your position in a multi paragraph essay At a school there 8 students who play violin, 10 students who play guitar, 3 students who play both , and 12 students who dont play any intrument at all. If a student is randomly selected from tis school, what is the probability that they play violin or guitar? Why does propaganda have a negative connotation?1It is known to be colorful, creative, and factual.2It is known to be funny, uplifting, and artistic.3It is known to be sad, dark, and depressing.4It is known to be biased, dishonest, and misleading. **MARKING BRAINLIEST PLEASE HELP** A certain television is advertised as a 90-inch TV (the diagonal length). If theheight of the TV is 63 inches, how wide is the TV? Round to the nearest tenthof an inch. que figura retorica encuentran en el habito o hace al monje help me please i will give brainliest!this is spanish btw Which religion was typical of aCivil War soldier?A. CatholicB. QuakerC. Protestant Which of the following could indicate the beginning of a new phrase?A. repeated rhythm patternB. changed rhythm patternC. repeated pitch patternD. cadence in the harmony Which of the following statements regarding attributions is not true? (Please dont put links!!! Also I dont think its C) a) Attributions refer to inferences that you make regarding how and when anevent or behavior happened.b) Attributions are your attempt at understanding your experiences, behaviors,and the behaviors of others.c) Internal and external are the two types of attributions.d) When we ask why, we are attempting to make attributions to a person'sbehavior or an event. Khalil recorded the grade-level and instrument of everyone in the middle schoolSchool of Rock below.Seventh Grade StudentsEighth Grade StudentsInstrument # of StudentsInstrument # of Students12Guitar11BassGuitarBassDrumsKeyboard1413544DrumsKeyboard14Based on these results, express the probability that a student chosen at random willplay the drums as a decimal to the nearest hundredth. Reasons for women involvement in transformation in SA What is total internal reflection? peyton has 1/8 of a package if beads left she thinks she can make 3 bracelets from the beads left in the package help!! Find the inequality represented by the graph. Describe a cellular network, its principlecomponents and how it works. Significado de disgusto