A time-and-motion study measures the time required for an assembly-line worker to perform a repetitive task. The data show that the time required to bring a part from a bin to its position on an automobile chassis varies from car to car according to a Normal distribution with mean 11 seconds and standard deviation 2 seconds. The time required to attach the part to the chassis follows a Normal distribution with mean 20 seconds and standard deviation 4 seconds. The study finds that the times required for the two steps are independent. A part that takes a long time to position, for example, does not take more or less time to attach than other parts. Management's goal is for the entire process to take less than 30 seconds. Find the probability that this goal will be met for a randomly selected part.

Answers

Answer 1

The amount of time required for an assembly line worker to complete a repetitive task is measured using a time and motion study.

According to the data, the average time it takes to move apart from the bin to its place on a car's chassis is 11 seconds, while the standard deviation is 2 seconds.

If XX and YY are independent, the property mean and variance are as follows: X 1 = 11; sigma_X_1 = 2, X 1 = 2, mu_X_2 = 20, X 2 = 20, sigma_X_2 = 4, and X 2 = 4.

aX+bY = a X + b Y; sigma_aX+bY = a X + b Y; aX+bY 2 = a 2 X 2 + b 2 Y 2; and finally, we have the following results:

X 1 + X 2 = X 1 + X 2 = 11+20=31 sigma_X_1+X_2=sqrtsigma_X_1+sigma_X_2=sqrtsigma_X_1+sigma_X_2=sqrtsigma_X_2=sqrtsigma_X_2=sqrtsigma_X_2=sqrtsigma_X_1+

The value reduced by the mean and divided by the standard deviation is the z-score:

z=\dfrac{x-\mu} {\sigma} =\dfrac{30-4.4721} \approx - 0.22

z=σx−μ =4.472130−31

≈−0.22

Decide the relating esteem utilizing table A:

P (X_1+X_2 30) = P(Z-0.22) = 0.4129 P (X 1 30) = P(Z-0.22) = 0.4129

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Related Questions

Pls Help!
Lauren got $321 from various relatives on her birthday. If she wants to put 20% of the money into her savings account, how much will she have left over to spend on new clothes?

Answers

Answer:

$64.20 saved

$256.80 spend on clothes

Step-by-step explanation:

321.00 x 0.20 = $64.20 saved

321.00 - 64.20 = $256.80 spend on clothes

Answer is $256.08

$321 - 20% = $256.08

If f(x) = 2x +1 and g(x) = 3x + 4 , write down (f+g) (-3)
A. -10
B. 15
C. -15
D.
10​

Answers

Answer:

A

Step-by-step explanation:

(f + g)x = 2x + 1 + 3x + 4              Collect like terms

(f + g)x = 5x + 5

(f + g)(-3) = 5(-3) + 5

(f + g)(-3) = -15 + 5

(f + g)(-3) = - 10

A

The tenants in an apartment building voted on whether to places couches in the lobby of the building. The number of votes for placing couches in the lobby was 765. The number of votes against placing couches in the lobby was 1,785. What percent of the voters were in favor of placing couches in the lobby of the building.REEEEE
A.20%
B.25%
C.30%
D.35%

Answers

C. 30%
you just need to add 1785 and 765 which would give you 2,550. From there, I honestly just guessed 30% then figured out 30% of 2550 which is 765.

9. Four people are running for sheriff. A survey was randomly conducted in the countyand the results were recorded in the graphIf there are approximately 5,000 registered voters, how many more volers would be expected to vote for Ben than for Scott?
A.) 4
B.)210
C.)500
D.)400

Answers

Answer:

D.) 400

Step-by-step explanation:

I started by adding all the votes together

4+4+17+21=46

I then rounded 46 up to 50 to make the next step easier

I divided 5000 by 50 and got 100.

With that information, I can now multiply each original vote by 100 to make them more realistic to the number of voters (5000)

4*100=400

4*100=400

17*100=1700

21*100=2100

Now Ben has 2100 votes while Scott has 1700

Subtract 1700 from 2100 and you get 400

So Ben is expected to get approx. 400 more votes than Scott.

Hope I helped!! Maybe Brainliest answer?

A group of friends were working on a student film that had a budget of $640. They spent all their budget on equipment and props. They used 15% of their budget on props. How much money did they spend on equipment?

Answers

136
Step-by-step explanation:
Amount spend on props and equipment = 800
Percentage of amount spend on equipment = 83%
So,
Percentage of amount spend on props =
Therefore,
Amount spend on props

The scatter plot shows the number of sport Utility vehicles
sold in a city from 2005 to 2010. Based on the scatter plot,
which is the best prediction of the number of sport utility
vehicles that will be sold in 2011?

Answers

Answer:

this answer wont help but please give it 5 stars. Brainly keeps bombarding me with ads. please help sos  

Step-by-step explanation:

HELP ME ASAP!!!! I’m very confused and I need help!! Thanks!

Answers

Answer:

Reason 2)The transitive property of congruence

Step-by-step explanation:

There are several sort of "obvious" properties of equality/congruence. Keeping them sorted out can be a bit of a trick.

  A = A . . . . reflexive property

  A = B ⇔ B = A . . . . symmetric property (erroneously cited in the proof)

  A = B, B = C ⇒ A = C . . . . transitive property (the one needed in the proof)

__

Not to confuse the issue, but there is also the "substitution property of equality" that says if X = Y, then X can be substituted for Y or vice versa. In the end, the transitive property is an application of this, where we're substituting for B in the second equation, or for A in the first equation.

The A=B=C form of Statement 1) in the proof is what gives you the clue it is the transitive property that is wanted here.

Identify each sample as biased or unbiased and describe its type. Explain your reasoning.
PLEASE ANSWER PROPERLY AND NOT JUST TO GET POINTS OR ELSE I WILL REPORT YOU! DO NOT PUT A LINK THAT I HAVE TO DOWNLOAD. ALSO STATE WHICH ONE(S) YOU ARE DOING THANKS! <3

2. To determine the theme for the homecoming dance, the homecoming committee surveys one classroom.

6. To determine the quality of a new cell phones coming off an assembly line, the manager chooses one cell phone every 20 minutes and checks it.

8. To determine whether a candidate for a governor is popular with the voters, 30% of the citizens in each pf the 254 countries are surveyed.

AGAIN THANK YOU!

Answers

Answer:

2. biased because they're only surveying one classroom and not more

6. unbiased because I'm assuming the manager is using a different phone every 20 minutes

8. unbiased because he they surveyed many countries

Step-by-step explanation:

hope this helps sorry if incorrect have a good rest of your night/day :) ❤

can I please get brainliest

Can someone help me with this

Answers

Answer:

its red

Step-by-step explanation:

math. lol

Find the values of the variable In The figure

Answers

Answer:

A. 18

Step-by-step explanation:

Sum of the measures of all the angles of a quadrilateral is 360°

Therefore,

[tex]2m \degree + 8m \degree + 6m \degree + 4m \degree = 360 \degree \\ 20m \degree = 360 \degree \\ 20m = 360 \\ m = \frac{360}{20} \\ m = 18[/tex]

Calcular el valor de la fuerza que se debe aplicar para dezlisar un bloque de la siguiente figura a velocidad constante, si tiene un peso de 150 N y al coeficiente de friccian dinamico es de 0.3​

Answers

Answer:

azsdfghjkljhgfdsasdfghjm,.

Step-by-step explanation:

Mr. Thorbes bought a new journal for his poetry. If the journal normally cost $22 but was on sale for 20% off, how much did Mr. Thorbes save?

Answers

Answer:

He would save $4.40

Step-by-step explanation:

And in total he would pay 17.60

Write 108 in exponential form using only prime numbers as a base​

Answers

Two to the second power times three to the third power

How many times greater is 6,680 than 668

Answers

Answer:

10

Step-by-step explanation:

668 x 10 = 6,680

If an object travels at 2 feet per second, how many feet does it travel in 3 hours?

Answers

Object will cover 21600 feet in 3 hours.

What is distance?

Distance is defined as the product of the speed and time.

The distance an object travelled is measured in distance per second here.

So, let us convert the hours into seconds to arrive at our answer.

One hour = 60 minutes = (60×60) seconds = 3600 seconds.

The object travels 2 feet for every second.

Then, total distance covered in 3 hours is

2×3×3600 = 21600 feet.

Hence, object will cover 21600 feet in 3 hours.

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Find the side length of a square with an area of 1521 m².​

Answers

Answer:

39

Step-by-step explanation:

a=A=1521=39

PLEASE HELP!
The equation of a parabola is y=1/2x^2+6x+23.


What is the equation of the directrix?


y = 5.5


y = 4.5


​y = 2​


​y = 0.5

Answers

Answer:

Step-by-step explanation:

y = ½x² + 6x + 23

  = ½(x² + 12x) + 23

  = ½(x² + 12x + 6²) - ½(6²) + 23

  = ½(x+6)² + 5

vertex (-6,5)

focal length = 1/(4∙½) = ½

directrix: y = 5-½ = 4.5

Answer: y=4.5 Just confirming

Step-by-step explanation:

Just a test good luck

A survey conducted by the U.S. department of Labor found the 48 out of 500 heads of households were unemployed. Compute a 99% confidence interval for the proportion of unemployed heads of households in the population. Round to three decimal places. (make sure to type a zero in front of the decimal place ie. 0.1 vs .1 otherwise your answer will be marked incorrect) Lower limit

Answers

Answer:

99% Confidence interval is given as;

Lower Limit = 0.062

Upper Limit = 0.130

Step-by-step explanation:

Given the data in the question;

x = 48

n = 500

sample proportion p = x/n = 48/500 = 0.096

with 99% confidence

significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.01 / 2 = 0.005

Critical Z-value = [tex]Z_{\alpha /2[/tex] = [tex]Z_{0.005[/tex]  = 2.576

Now,

Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]

we substitute

SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]

SE = √[ (0.096 × 0.904) / 500  ]

SE = √[ 0.086784 / 500 ) ]

SE = 0.0131745

so

Margin of Error E = [tex]Z_{\alpha /2[/tex] × SE

E = 2.576  × 0.0131745

E = 0.0339

Now 99% confidence interval will be

⇒ 0.096 ± 0.0339

⇒ (0.096 - 0.0339, 0.096 + 0.0339 )

⇒ ( 0.062, 0.130 )

Lower Limit = 0.062

Upper Limit = 0.130

I solved this quadratic using the square root property. I did it 2 ways but I am not sure which one is correct.

Answers

Answer:

it's your second answer: )

Answer:

the one on the right

Step-by-step explanation:

:) s s

Find the measurements of the numbered angles in each kite

Answers

Answer:

∠1 = 23°

∠2 = 23°

Step-by-step explanation:

What is the ratio in simplest form between the length of a side in ABCD and the length of its corresponding side in WXYZ?

a.2\3
b.1\2
c.3\4
d.6\5

Answers

Answer:

The Answer would be C) 3/4

Step-by-step explanation:

If you subtract a quarter of the number presented on right left hand on the picture you get the numbers presented on the left hand side of the picture shown. There fore the ratio is 3/4 or three quarters of the already existing number.

PLEASEEEE I NEED IT ASAP 51 POINTS IS THE MAX I CAN GIVE PLEASEEEEE HELP ME

Answers

Answer:

A

Step-by-step explanation:

2(10+7)

2(17)

=34

Answer:

the answer is a

Step-by-step explanation:

10 times 2 plus 7 times 2=34


Consider the functions f(x) = 2x + 1 and g(x) = x^2 - 10. What is the value of f[g(3)]?

Answers

Answer:

f[g(x)]= 2(x^2-10)+1

2x^2-20+1

f[g(3)]=2(3)^2-20+1

18-20+1

18-19=-1

How can I solve this quadratic using the square root properly?

Answers

Answer:

x = +3

Step-by-step explanation:

4x² = 36

sqareroot both side we get,

√4x² = √36

2x = 6

x = 6/2

x = +3

Thus, The answer is +3

-TheUnknownScientist

Answer:

4x^2 = 36

________ x^2 = 9. square root of 9

4. = 4. x = 3

Step-by-step explanation:

Divide both sides by 4 to isolate the square root.

So, you will end up with x^2 = 9

then take the square root of 9,

square root of 9 is 3.

So x = 3

Un círculo tiene una circunferencia de 18.4 m. Determina el valor del radio. (Utiliza el valor de π = 3.14)

Answers

Answer: 2.92

Step-by-step explanation:

De la circunferencia del círculo, se encuentra que su radio es de 2.93m.

El circunferencia de un círculo de radio r es dada por:

[tex]C = 2\pi r = 2(3.14)r = 6.28r[/tex]

En este problema, la circunferencia es de 18.4. Así, es posible aplicar la fórmula de la cincumference para encontrar su radio, puesto que [tex]C = 18.4[/tex].

[tex]C = 6.28r[/tex]

[tex]6.28r = 18.4[/tex]

[tex]r = \frac{18.4}{6.28}[/tex]

[tex]r = 2.93[/tex]

El radio es de 2.93m.

Un problema similar es dado en https://brainly.com/question/24562611

triangle: solve for x

Answers

Answer:

6 root two

Step-by-step explanation:

geometric mean for leg t.

24*3=x2

x2=72

x=root(72)

6 root two

if my answer helps please mark as brainliest.

Apples weighing 30 pounds are placed in a crate that weighs p pounds. Which equation can
be used to find t, the total weight of both the crate and the apples in pounds?
A. t=30p
B. t=p+30
C. t=p-30
D. t=30-p

Answers

Key words: total
Total = add
B

Last year, scientists claimed there were 10,000 different species of ants around the world. Since then, the number of different species have decreased by 5.1%. How many different species of ants are estimated currently?

help what's the correct answer and how did u get it

Answers

Answer:

9490.

Step-by-step explanation:

First you take 5.1% of 10,000 which is 510 and then you do 10,000-510= 9490.

Hope this helps!

The answer to your question is 9490






:)

Jim caught 15 fish over course of 3 days. After 4 days how many total fish will Jim have caught?

Answers

Answer:

20

Step-by-step explanation:

15 divided by 3 is 5

15 over 4 days = 20

Find a number such that the sum of the number and its reciprocal is 65/8.​

Answers

Answer:

Let the number be x

Since sum of a number and its reciprocal is 65/8 so we have

x+1/x=65/8

8x^2+8=65x

8x^2-65x+8=0

8x^2-64x-x+8=0

8x(x-8)-1(x-8)=0

(8x-1)(x-8)=0

x=8,1/8

So the numbers are 8 or 1/8

Please mark as brainliest for further answers :)

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