The length of time required for the periodic maintenance of an automobile or another machine usually has a mound-shaped probability distribution. Because some occasional long service times will occur, the distribution tends to be skewed to the right. Suppose that the length of time required to run a 5000-mile check and to service an automobile has mean 1.4 hours and standard deviation .7 hour. Suppose also that the service department plans to service 50 automobiles per 8-hour day and that, in order to do so, it can spend a maximum average service time of only 1.6 hours per automobile. On what proportion of all workdays will the service department have to work overtime?

Answers

Answer 1

Solution :

Mean time for an automobile to run a 5000 mile check and service = 1.4 hours

Standard deviation = 0.7 hours

Maximum average service time = 1.6 hours for one automobile

The z - score for 1.6 hours = [tex]$\frac{1.6-1.4}{0.7 / \sqrt{50}}$[/tex]

                                           = 2.02

Now checking a normal curve table the percentage of z score over 2.02 is 0.0217

Therefore the overtime that will have to be worked on only 0.217 or 2.017% of all days.


Related Questions

laurette has 126 cards. She buys 6 more packages of cards that each have 7 cards in them. How many cards does laurette have now?

Answers

Answer:

168

Step-by-step explanation: 6 times 7 equals 42. Add 42 to 126 and Laurette has a total of 168 cards now.

Find the circumference of the circle.radius of 44 in Use 3.14 or 22/7

Answers

Answer:

hi i do not know but i love the app

A triangle has vertices (0, 2), (3, 1), and (6.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth.​

Answers

Answer:

6 + 2√10 units.

Step-by-step explanation:

We can use the distance formula to find the distance between the points. The points are ,

(0,2)(3,1)(6,2)

Distance 1 :-

=> D₁ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }

=> D₁ = √{ (0-3)² + (2-1)² }

=> D₁ = √{ 3² + 1² }

=> D₁ = √{ 9+1}

=> D = 10

Distance 2:-

=> D₂ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }

=> D₂ = √{ (6-3)² + (2-1)² }

=> D₂ = √{ 3² + 1² }

=> D₂ = √{ 9 + 1}

=> D = 10

Distance 3 :-

=> D₃ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }

=> D₃ = √{ (6-0)²+(2-2)²

=> D₃ = √6²

=> D = 6

→ Perimeter = D₁ +D₂ + D₃

→ Perimeter = √10 + √10 + 6

Perimeter = 6 + 210 units

Hence the perimeter is 6+210 units.

A quarter has a mass of 0.006 kilograms. What place value is the six in this
number?

Answers

the 6 would be the thousandth

Answer:

It is in the thousandths place

Step-by-step explanation:

The first number after the decimal is the tenths place. 0.006

The second number after the decimal is the hundredths place. 0.006

The third number after the decimal is the thousandths place. 0,006

Hope this helps!

5, 8, II, 14 ...
The pattern is
Next 2 terms =​

Answers

Answer:

the next two terms are 17, 20

Step-by-step explanation:

add 3 to each term

Example

5+3 = 8

8+3= 11

11+3= 14 etc.

Answer:

17 And 20

Step-by-step explanation:

The pattern is add 3

Translate this sentence into an equation. The sum of 16 and Delia's height is 74. Use the variable d to represent Delia's height.

Answers

The answer is :

16+d=74
“Sum” is the answer to an addition problem
“Is” always means equals (=)
“d” is the variable representing Delia’s height

So the answer is:
16+d=74

Plz help me well mark brainliest if correct!!..
.

Answers

Answer:

70 ft

Step-by-step explanation:

20 + 20 + 15 + 15 = 70

What is the problem to this one?

Answers

Answer:

45

Step-by-step explanation:

can anyone help pls it's hard

Answers

Answer:

[tex](A\cap B)\cap U[/tex]

Step-by-step explanation:

"And" indicates taking the intersection of two sets.

You want numbers that are in all three sets: multiples of 5, multiples of 2, and all 4-digit numbers.


What number is ten less than 658?

Answers

Answer:

648 is the answer

Step-by-step explanation:

658-10=648

What is the value of the expression shown? 10 - 16:2
[tex]10 - 16 \div 2[/tex]

Answers

Divide 16 by 2 first following PEMDAS.

10 - 8

Solve

2

Which graph represents the solution set of 2x-5<3

Answers

Answer:

1

Step-by-step explanation:

2x-5< 3

add 5 to both sides

2x<8

divide 2 for both sides

x<4

graphically, Graph 1 represents this equation where x is anything smaller than 4 but not including 4

Find the measure of ∠NED, not ∠CED.

Answers

Answer:

[tex] m\angle NED = 100\degree [/tex]

[tex] m\angle CED = 80\degree [/tex]

Step-by-step explanation:

By exterior angle theorem:

(9x - 8)° = (5x - 10)° + 50°

(9x - 8)° = (5x - 10 + 50)°

(9x - 8)° = (5x + 40)°

9x - 8 = 5x + 40

9x - 5x = 40 + 8

4x = 48

x = 48/4

x = 12

(9x - 8)° = (9*12 - 8)° = (108 - 8)° = 100°

[tex] \implies m\angle NED = 100\degree [/tex]

[tex] m\angle CED = 180\degree - 100\degree [/tex] (Linear pair angles)

[tex] \therefore m\angle CED = 80\degree [/tex]

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

Measure of Exterior Angle of a triangle is equal to the sum of measures of two opposite interior angles .

From above statement we have :

[tex] 9x - 8 = 5x - 10 + 50[/tex]

[tex]9x - 5 x = 40 + 8[/tex]

[tex]4x = 48[/tex]

[tex]x = \dfrac{48}{4} [/tex]

[tex]x = 12[/tex]

_____________________________

[tex] \mathrm{\angle \: NED = 9x - 8}[/tex]

[tex](9 \times 12) - 8[/tex]

[tex]108 - 8[/tex]

[tex]100°[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Evaluate. Write your answer as a fraction in simplest form.
(4/3)2

Answers

Answer:

8/ 3

Step-by-step explanation:

Answer: 8/3

Step-by-step explanation: you would multiply the numerator (top number 4) by 2 and get 8/3 as a decimal it would be 2.6 repeated and as a mixed number it would 2 and 2/3

Hope this helps (^_^)

If A is the center of the circle, then which statement explains how segment ED is related to segment FD?

Answers

Answer:

 ED ≅  FD because segment EF is perpendicular to a radius of circle A.

Step-by-step explanation:

The statement that explains how ED is related to FD is: ED = FD because segment EF is perpendicular to a radius of circle A.

What is Does Pendicular mean?

When a segment is perpedicular to the radius of a circle, it forms a right angle at the center of the segment that is intersected by the radius of the circle.

In the diagram given, based on what perpedicular mean, ED = FD because segment EF is perpendicular to one of the radii, DA, of the circle.

Therefore, the statement that explains how ED is related to FD is: ED = FD because segment EF is perpendicular to a radius of circle A.

Learn more about perpendicular segment on:

https://brainly.com/question/1202004

There are 4 blood types, and not all are equally likely to be in blood banks. In a certain blood bank, 49% of
donations are Type O blood, 27% of donations are Type A blood, 20% of donations are Type B blood, and 4% of
donations are Type AB blood. What is the expected number of donations until the first Type AB donation is
received?
02.127
4
O24.495
25

Answers

Answer:

Step-by-step explanation:

they get 4%  or 4 out of ever 100.  that's 25 for one AB donation.

The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draws a random sample from the following
groups:
• All teachers in the school
• All boys in each grade
• All students in the speech club
• All students in each grade
Which group best represents the population she should take a random sample from to get the best results for her survey?
O All teachers in the school
O All boys in each grade
All students in the speech club
O All students in each grade

Answers

All students in each grade

helppppp me please i’ll give brainliest

Answers

Answer:

[tex]C) ~As ~ X ~increases, Y ~ decreases[/tex] ✔︎

᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄

hope it helps....

have a great day!!

Answer:

C will be your answer!

Step-by-step explanation:

hope it helps..

List two pairs of angles in square CDFG that are complementary

Answers

Answer:

1st pair:  ∠C + ∠M

2nd pair: ∠G + ∠M

Step-by-step explanation:

If each collectible coin weighs 2.5 grams, how much do 3 collectible coins weigh all together?
A) 9.5 grams
B) 8.5 grams
7.5 grams
D 6.5 grams

Answers

Answer:

Hello! answer: 7.5 grams

Step-by-step explanation:

To find the answer we simply just do 2.5 × 3 so... 2.5 × 3 = 7.5 so 7.5 grams is the answer! Hope that helps!

A company makes fifty-four million, nine hundred twenty thousand, one hundred
two widgets every year. What is this number written in standard form?

A. 54, 920, 102
B. 549, 212
C. 54, 000, 920, 102
D. 504, 920, 102

Answers

Correct answer is A.54,920,102

The expected value of a fair 6-sided die is 3.5.
Which of the following statements are true?
Choose all answers that apply:
А
3.5 is one of the possible outcomes of rolling a fair 6-sided die.
A fair 6-sided die is more likely to land on the number 4 than the number 6.
If you rolled a fair 6-sided die a large number of times, you should expect the average of the
numbers rolled to be about 3.5.

Answers

Answer: if you roll a fair 6 sided for a large number of times the average would be 3.5

Step-by-step explanation:

Khan

Determine the value of a.
Question 10 options:

A)

6

B)

10

C)

70

D)

7

Answers

Answer:

The answer is D

Step-by-step explanation:

how many feet in 3 yards​

Answers

Answer:

there's 9 feet

 hop this help

Step-by-step explanation:

the way i got it was multiply the length value by 3

braniest plz

Answer:

there would ve 9 feet in 3 yards

In this composite function, (g◦f)(x) where f(x)=(X-3) and g(x)=X^2 what is (g◦f)(x) when x=1?

(g◦f)(1)=4
(g◦f)(1)=-4
(g◦f)(1)=-2
(g◦f)(1)=2

Answers

the answer would be b
The answer is (Gof)(1)=2

Why is there a letter also on Mathematics?

I mean, there is a letter in English...

I don't know why there is a letter like 2x + 19 and x + 23.

It's really frustrating that there's a letter in Mathematics

They can just do "3*4" instead of "x*4 when x=3"

I know... I know... It's a silly question.

Answers

Answer:

Not silly, i understand but "x" is supposed to be a subsitute for a number after the many equations youll be learning in algebra. x can be anything, it isnt set to anykind of specifac number but rather an output of an equation. It is fustrating but i reccomend khan acdemy videos or math nation since they specialze in thses kinds of maths

Step-by-step explanation:

I need the answer pls fast

Answers

Answer:

B. 215cm^2

Step-by-step explanation:

180 + 35

Answer: B. 215

Step-by-step explanation:

I found the answer button.

The full height is 20, and the height of the parallelogram is 10. So that means the triangles height is 20-10=10. The top and bottom sides of a parallelogram are the same, so the base of the triangle is 18-(6+5)=7. So the area of the triangle is (7x10)/2=35. The area of a parallelogram can be count that same way as a regular rectangle. So 18x10=180. Putting those two together, 35+180=215.

willa is shopping at the mall. An outfit that she likes has 3 different styles of the top, a choice of a skirt or slacks, and 4 different belts. How many different combination does Willa have have to choose from?
A: 2
B: 6
C: 12
D: 24​

Answers

Answer:

c

Step-by-step explanation:

Please answer the question correctly with factual information for brainliest.

Answers

Answer:

8.9

Step-by-step explanation:

[tex]1)\ S = 80 => l = \sqrt{80}[/tex]

[tex]2)\ l = \sqrt{80} = 8.9[/tex]

Use technology to construct an appropriate model of the data,
(0.1). (1, 2), (2, 3), (3,-2), (4.1)

Answers

Answer:

Quadratic model

Step-by-step explanation:

Given the data :

(0.1). (1, - 2), (2, - 3), (3,-2), (4.1)

The above data point when plotted using technology gives a quadratic model with the equation : x² - 4x + 1

With the quadratic regression model for the data above, we obtain a correlation Coefficient of 1 ; which means a perfect relationship exists between the x and y variables.

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