How many work cycles should be timed to estimate the average cycle time to within 5 percent of the sample mean with a confidence of 99.0 percent if a pilot study yielded these times (minutes): 4.0, 4.5, 5.0, 4.5, 4.5, and 4.0

Answers

Answer 1

Answer:

Following are thew solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

[tex]\text{Margin of error} = \frac{(z \times \sigma) }{\sqrt{n}}[/tex]

n = the number of work cycles for 95 confidence interval

z-score = 1.96

So, [tex]\frac{(z \times \sigma)}{\sqrt{n}}[/tex] = [tex]\ Mean \times 0.02[/tex]  

[tex]\frac{(1.96 \times 0.376)}{\sqrt{n}} = 4.416666667 \times 0.02 \\\\\\[AVERAGE(4,4.5,5,4.5,4.5,4) = 4.416666667][/tex]

[tex]\sqrt{n} = \frac{(1.96 \times 0.376)}{(4.416666667 \times 0.02)} \\\\[/tex]

     [tex]= 8.342943396\\\\[/tex]

[tex]n = 69.6047045[/tex]

   [tex]= 70[/tex]

How Many Work Cycles Should Be Timed To Estimate The Average Cycle Time To Within 5 Percent Of The Sample
Answer 2

Using the sample size formula, the number of samples required is 919.

Standard deviation, σ = 0.376

From the data given :

Mean = (4 + 4.5 + 5 + 4.5 + 4.5 + 4) / 6 = 4.417Standard deviation = 0.376

Using the sample size relation thus:

[tex] n = (\frac{T_{critical}σ}{E})^{2}[/tex]

E = Margin of Error = 5% = 0.05Tcritical at 99%, df = 5 = 4.032 (T distribution table)

Substituting the values into the equation :

[tex] n = (\frac{4.032 \times 0.376 }{0.05})^{2}[/tex]

[tex] n = (\frac{1.516032}{0.05})^{2} = 919.34[/tex]

Hence, the sample size required is 919.

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Related Questions

The pencils produced by the machine are unsharpened, so two employees in the factory need to sharpen each pencil by hand. Employee A can sharpen 8 pencils per minute and Employee B can sharpen 5 pencils per minute. Employee A breaks 10% of the pencils they sharpen and Employee B breaks 15% of the pencils they sharpen. What is the probability that a broken pencil was broken by Employee A

Answers

Answer:

0.4156

Step-by-step explanation:

Given that:

Employer A:

8 pencils per minute

Probability of breaking a pencil = p(A) = 10%

Employer B:

5 pencils per minute

Probability of breaking a pencil = p(B) = 15%

Hence,

Probability of breaking a pencil:

P(breaking a pencil) = (P(A breaks pencil) * P(A)) + (p(B breaks pencil) * p(B))

P(A breaks pencil) = 0.1 * 8 = 0.8

P(B breaks pencil) = 0.15 * 5 = 0.75

P(breaking a pencil) = (0.8 * 0.1) + (0.75 * 0.15) = 0.1925

Hence, probability that a broken pencil was broken by employer A will be :

(P(A breaks pencil) * P(A)) / probability of breaking a pencil

= (0.8 * 0.1) / 0.1925

= 0.08 / 0.1925

= 0.4155844

= 0.4156

A 1200 kg car travels at a constant speed of 15 m/s in a circular loop with a diameter of 45 m. What is the coefficient of friction on the car?

Answers

(a)

KE = m v^2 / 2 = (1200 kg)(20 m/s)^2 / 2 = 240,000 J

(b)

The energy is entirely dissipated by the force of friction in the brake system.

(c)

W = delta KE = KEf - KEi = (0 - 240,000) J = -240,000 J

(d)

Fd = delta KE

F = (delta KE) / d = (-240,000 J) / (50 m) = -4800 N

The magnitude of the friction force is 4800 N.

mark brainliest if correct

Please do nowwww im clueless

Answers

Answer:

just put in 50,tab,0,tab,200,tab,400,tab,100,tab,0.

Step-by-step explanation:

tab is the key on your keyboard.

Simplify the following expression.
?
9t2 + 7t + 4 - 2t2 + 5t

Answers

Answer:

I'm assuming the 2 after 9t and -2t means squared.

7t² + 12t + 4

Step-by-step explanation:

To simplify the expression we should combine like terms. Like terms are terms with same variables and powers.

Let's start with 9t² and -2t² since they have the same variable and power of t². To combine them we should add them together which would be: 9t² + (-2t²) = 9t² - 2t² = 7t²

Next we can combine 7t and 5t since they have the same variable and power of t. 7t + 5t = 12t

4 doesn't have any like terms so we leave it as it is.

Lastly we add all of our terms: 7t² + 12t + 4

Which of the following correctly describes the end behavior of the polynomial
function, f(x) = -3x4 +2x2 - x?
HELPPPPPP ASAAP

Answers

Answer:

A. Both ends go down.

General Formulas and Concepts:

Algebra II

End behavior - what the y-values are approaching as x approaches negative infinity or infinity

Step-by-step explanation:

If we graph the function, we can see that when x goes to -∞, y also goes to -∞.

We also see that when x goes to ∞, y still goes to -∞.

Therefore, both ends of the graph would head towards -∞, making A. the correct answer choice.

Answer:Both ends go down

Step-by-step explanation:

18. The sum of 'l6, /3, and 'Is is
OA. 12, or'/3-
B. "12.
c.1/12, or 1'/12-
OD./72, or'/36-

Answers

Answer:

wn work

Step-by-step explanation:

What is the solution to the equation 5 +b= 18? 1​

Answers

The answer is 13......

Answer:

b = 13

Step-by-step explanation:

5 + b = 18

-5.        -5.     -5 on both sides to get b by itself

b = 13

HELP ME PLS AKANKANWKWN

Answers

Answer:

The answer is C, the third one.

Which starements are true about points A, B, and C? check all that apply.​

Answers

Answer:

2

Step-by-step explanation:

2 seems to be the only one that is correct

Correct Statements: (modified the statements that are incorrect)

1. The coordinates of point A are (-3, 3)

2. Already correct

3. The coordinates of point C are (-2, -2)

4. Point B is the closest to the y-axis (only one away)

5. Point A is 3 away and Point B is 1 away

(sorry if this is confusing but this is what I got)

who can help me solve this problem?​

Answers

Answer:

30, 28, 34, -6, 44

Step-by-step explanation:

PLEASE HELP!!

Eight U.S. coins are worth a total of 38 cents. How many of the coins are dimes?

Answers

Take off 3 of the pennies and the 5 that remain would be 3 nickels and 2 dimes

2 dimes=20 cents

3 nickels = 15 cents

3 pennies=3 cents

Or these 8 coins = 38 cents

Why do people say that black ops 2 is the best? I will give brainlest

Answers

Answer:

They say it because the wanna be different from others lol

Please give me brainliest

Step-by-step explanation:

Answer:

people say that black ops 2 is the best because of the replayabilty and its story line not so much zombies tho

Examine the figure below. Determine which of the following angel measures are correct . Select all that apply

Answers

Answer:

bhnnjn

Step-by-step explanation:

20% tip of the cost of a d dollar dinner

Answers

Answer: 0.2d

Step-by-step explanation: For calculating the 20% tip of the cost in dollars of a dinner, simply multiply 0.2 by the cost of dollars of a dinner. 0.2 represents 20% and by using the variable "d" to represent the cost of the dinner, you can write this equation: 0.2d.

Solve the following equation for x: -3(x-2)=12










I need help!!

Answers

Answer:

x = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-3(x - 2) = 12

Step 2: Solve for x

Divide -3 on both sides:                    x - 2 = -4Add 2 on both sides:                         x = -2
Answer with steps =
-3x+6=12
-3x=6
x=-2

The Ulis family spends $1,632 a year for gym memberships. How much does the family spend in 4 years?

Enter your answer in the box.

Help me please.

Answers

1,632 * 4 = 6,528
Solution: $6,528 for 4 years

PLEASE HELP ASAP WILL GIVE BRAINLEIST

Answers

y=9

x=12

hope its right pls do mark me the brainleist

Alexandra has 4 bags of beads. Some of the bags contain 3 purple beads and the rest contain 6 indigo beads. If Alexandra has 21 beads in all, how many bags of each color bead does Alexandra have?
Please help me fast !!

Answers

Answer:

1 bag of 3 purple beads and 3 bags of 6 indigo beads

Step-by-step explanation:

3 + 18 = 21

Isabella baked 10 cookies with 2 scoops of flour. How many scoops of flour does Isabella need in order to bake 45 cookies? Assume the relationship is directly proportional

Answers

Answer:

9 scoops

Step-by-step explanation:

If 10 cookies took 2 scoops of flour, then 4 scoops would make 20 cookies, 6 scoops would make 30, 8 scoops would make 40. If you need 5 cookies, then split 2 scoops in half, which would be one scoop. 8 scoops(which is 40 cookies)+ 1 scoop(5 cookies) = 9 scoops (45 cookies)

6/8 = x/12. Pls help I’m failing math

Answers

Answer:

x=9

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

you want to get x alone and so you need to do the opposite of dividing which is multiplying, so you multiply each side by 12.

6/ 8 = x / 12

* 12      *12

6*12/ 8 = x            [tex]\frac{6*12}{8}[/tex]            

72/8=x                    [tex]\frac{72}{8}[/tex]

9=x

Hope this helped!

Please help!! i’ll mark you as brainliest!!

Answers

Answer:

For Triangle 1

a. Hypothenus = 4

b. Adjacent = 2√3

For Triangle 2:

a. Hypothenus = 2√2

b. Adjacent = 2

Step-by-step explanation:

For Triangle 1

NOTE: We shall be using angle 30°.

a. Determination of the Hypothenus.

Opposite = 2

Angle (θ) = 30°

Hypothenus =?

Sine θ = Opposite /Hypothenus

Sine 30 = 2 / Hypo

0.5 = 2 / Hypo

Cross multiply

0.5 × Hypo = 2

Divide both side by 0.5

Hypo = 2 / 0.5

Hypothenus = 4

b. Determination of the Adjacent

NOTE: We shall be using angle 30°.

Opposite = 2

Angle (θ) = 30°

Adjacent =?

Tan θ = Opposite / Adjacent

Tan 30 = 2 / Adj

1 / √3 = 2 / Adj

Cross multiply

1 × Adj = 2 × √3

Adjacent = 2√3

For Triangle 2:

a. Determination of the Hypothenus.

Opposite = 2

Angle (θ) = 45°

Hypothenus =?

Sine θ = Opposite /Hypothenus

Sine 45 = 2 / Hypo

1 / √2 = 2 / Hypo

Cross multiply

1 × Hypo = 2 × √2

Hypothenus = 2√2

b. Determination of the Adjacent

Opposite = 2

Angle (θ) = 45°

Adjacent =?

Tan θ = Opposite / Adjacent

Tan 45 = 2 / Adj

1 = 2 / Adj

Cross multiply

1 × Adj = 2

Adjacent = 2

What is the volume V of the sphere. Write the answer in terms of pie.



Plz help

Answers

Answer:

Volume=972π units cubed.

Step-by-step explanation:

The formula for the volume of a sphere is:

V=4/3πr^3

where r=radius

and v=volume

so we know the radius of the sphere in the diagram is 9 cm

so r=9 cm

we can subsitute this into the formula and solve.

V=4/3π(9^3)

V=4/3π*729

V=972π units cubed.

guys help I am stuck on this question I have to send my winter holiday

48 girls and 64 boys belong to the Twelve Mile Coulee School choir. The choir teacher plans to arrange the students into equal rows (the same number of students in each row). Only girls or boys will be in each row. What is the greatest number of students that could be in each row?

Answers

Answer:

16

Step-by-step explanation:

To find the greatest number of students that could be in each row, we need to find their greatest common factor. We can list out their prime factors first.

48: 2 × 2 × 2 × 2 × 3

64: 2 × 2 × 2 × 2 × 2 × 2

Here, their common prime factors are 2 × 2 × 2 × 2 which is 16. Thus, the greatest number of students that could be in each row is 16.

No. of rows in the girls = 48 ÷ 16

                                      = 3

No. of rows in the boys = 64 ÷ 16

                                       = 4

Answer:

Step-by-step explanation:

I believe for this question you need to find the HCF (or GCF you may say) of 48 and 64

HCF - Highest Common Factor

GCF - Greatest common Factor

First, prime factorize 48 and 64 (write them in the product of their prime numbers)

64 = 2 × 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

Choose common prime factors (all of them that are common)

on observation, there is 2 × 2 × 2 × 2 common between both of them

which is 16.

So 16 maximum people in each row

Also additional thing, it's fine if some questions were wrong, try and attempt it yourself first before asking it from someone. Getting used to ask someone is going to be troublesome in the long run. If you get stuck, then get help from your teachers (unless the teacher is unco-operative) in which case, seek help from your friends, or talk to your parents about it if you freely share stuff with them.

But anyway, hope that helps ^

help??
Anyone??
need it asap
8th grade math

Answers

Answer:

8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

(m - 8)² × n

m = 10

n = 2

Step 2: Evaluate

Substitute:                          (10 - 8)² × 2(Parenthesis) Subtract:      2² × 2Exponents:                         4 × 2Multiply:                              8

Answer:

8 is the answer

Step-by-step explanation:

cause (10-8)=2 then 2x2=4 then 4x2=8

sorry if i did ths wrong i am only in 7th grade

On average, Americans have lived in 4 places by the time they are 18 years old. Is this average a different number for college students? The 50 randomly selected college students who answered the survey question had lived in an average of 3.79 places by the time they were 18 years old. The standard deviation for the survey group was 1.2. What can be concluded at the α = 0.10 level of significance?

Answers

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is  no sufficient evidence to conclude that the average is a different number for college students

Step-by-step explanation:

From the question we are told that

    The  sample size is  n =  50  

    The  population mean is [tex]\mu = 4[/tex]

     The  sample mean is [tex]\= x = 3.79[/tex]

     The standard deviation is [tex]\sigma = 1.2[/tex]

     The  level of significance is  [tex]\alpha = 0.10[/tex]

The  null hypothesis is  [tex]H_o : \mu = 4[/tex]

The alternative hypothesis is [tex]H_a : \mu \ne 4[/tex]

Generally  the  test statistics is mathematically represented as

         [tex]z = \frac{ \= x - \mu }{ \frac{ \sigma }{ \sqrt{n}} }[/tex]

=>      [tex]z = \frac{ 3.79 - 4 }{ \frac{1.2}{ \sqrt{50}} }[/tex]

=>       [tex]z = -1.237[/tex]

From the z table  the area under the normal curve to the left corresponding to    -1.237  is    

         [tex]P(Z < -1.237) = 0.10804[/tex]

Generally the p-value is mathematically represented as

        [tex]p-value = P(Z < -1.237) = 2 * 0.10804[/tex]

=>    [tex]p-value = 0.21608[/tex]

Generally  from the values obtained we see that

       [tex]p-value > \alpha[/tex]

Hence

The decision rule is

Fail to reject the null hypothesis

 The conclusion is

There is  no sufficient evidence to conclude that the average is a different number for college students

Describe how to find the inverse of the function.
To find the inverse of the function, change f(x) to y, switch and y, and solve for . The resulting function can be written as , where .

Answers

1st box: x

2nd box: y

3rd box: 3

4th box: 0

Rosie receives a weekly salary of $350 and a 6% commission on all sales.

a.) write a function f (d) that model the weekly earnings in terms of d dollars in sales.

b.) Find Rosie's earnings for a week with $670 total sales.

Answers

Answer:

a) F(d)=350+0.06d

b)$390.2

Step-by-step explanation:

350+0.06(670)=390.2

The diagram below shows the start and finish diagrams of a construction using a compass and straightedge.
Start
Finish
G
Which of the following statements are true about this construction? Select all that apply.
G
O
O
O
O
O
The construction is of a line perpendicular to FG from a point not on FG
The first step of the construction is to draw a circle with center X.
The first step of the construction is to draw the perpendicular bisector of wY
The second step of the construction is to draw the perpendicular bisector of FG.
The second step of the construction is to draw the perpendicular bisector of VwY.q

Answers

Answer:

Choices 1, 2, 4

Step-by-step explanation:

i took the test

Shaun estimated that the attendance at a college game was 1,200 people. The actual attendance was 1,158. What is the percent error of Shaun's estimate? (Round your answer to the nearest tenth)

Answers

Answer:

3.6%

Step-by-step explanation:

The formula for percent error is [ |va-ve/ve| * 100% ].

1200-1158/1158 * 100%

42/1158 * 100%

0.036 * 100%

3.6%

Best of Luck!

The percentage error should be 3.6%

Given that,

Shaun estimated that the attendance at a college game was 1,200 people. The actual attendance was 1,158.

Based on the above information, the calculation is as follows:

[tex]= (1200-1158)\div 1158 \times 100\%\\\\= 42\div 1158 \times 100\%\\\\= 0.036 \times 100\%\\\\[/tex]

= 3.6%

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In ΔUVW, w = 9.7 cm, ∠W=110° and ∠U=42°. Find the length of u, to the nearest 10th of a centimeter

Answers

9514 1404 393

Answer:

  6.9 cm

Step-by-step explanation:

The law of sines is useful here:

  u/sin(U) = w/sin(W)

  u = w · sin(U)/sin(W) = (9.7 cm)sin(42°)/sin(110°)

  u ≈ 6.9 cm

Answer:

6.9

Step-by-step explanation:

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