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:
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]
Using the sample size formula, the number of samples required is 919.
Standard deviation, σ = 0.376From the data given :
Mean = (4 + 4.5 + 5 + 4.5 + 4.5 + 4) / 6 = 4.417Standard deviation = 0.376Using 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
Which of the number lines is the correct graph for the inequality x < -6?
Answers
Answer: la 3ra contando desde la isquierda
Step-by-step explanation:
Standard tests, such as the SAT or ACT or MCAT, tend to make extensive use of multiple-choice questions because they are easy to grade using software. If one such multiple choice question has possible correct answers of a, b, c, d, e, what is the probability of a wrong answer if the answer is a random guess
Answers
Answer:
4/5
Step-by-step explanation:
Given that:
Number of options = a, b, c, d, e
Number of correct answer choice = 1
Therefore, number of wrong answers = 4
Recall :
Probability = (number required outcome / number of total possible outcomes)
P(wrong answer) :
Number of Required outcome = number of wrong answer choices = 4
Total answers = 5
Hence,
P(wrong answer) = 4 / 5 = 0.8
Triangle ABC has the following vertices:
A(-8,7)
B(0, -5)
C(9,1)
Is triangle ABC a right triangle, and why?
Answers
Answer:
Yes because AB ⊥ BC
Step-by-step explanation:
Answer: Yes because AB ⊥ BC
Step-by-step explanation: Khan Academy
Lots of points due today help
Answers
Answer: ok
Step-by-step explanation:
11) 75 percent. this is bc 32 - 8 is 24, and 24 of 32 as a percentage is 75 percent.
12) 25 percent, bc 15 percent of 60 is 25 percent
Answer: 75%
75%
Step-by-step explanation:
11. 32-8=24 boys
24 boys / 32 in the class = 0.75
0.75 x 100 = 75 %
12. 45/60= 0.75 or 75%
4(3 + 5) - 3 x 9² ?
Answers
Answer:
- 211Step-by-step explanation:
4(3 + 5) - 3 x 9² =4(8) - 3(81) =32 - 243 =- 211find the it out 12 divided by 3/5
Answers
Answer:
20
Step-by-step explanation:
hope this helps. i am in algebra two so you can trust my answer. happy holidays stay safe
Answer:
20 Hope this helps!
What is the correct formula for the following Arithmetic Sequence?
-4, -1, 2, 5, 8,…
Group of answer choices
an = 4 – 3(n – 1)
an = 4 + 3(n – 1)
an = -4 – 3(n – 1)
an = -4 + 3(n – 1)
Answers
Answer:
Concept: Arithmetic Sequence & Series
Notice the change is +3 for the first iteration and then +3 for the second iteration and so on You must represent it a series.Hence it must work for any nth variable So we have -4+3(n-1) Rate positively and give brainlistThe solution is, the correct formula for the following Arithmetic Sequence: -4, -1, 2, 5, 8,…, is, an = -4 + 3(n – 1), the value of the n-th term.
We know that,
from Arithmetic Sequence & Series we get,
The nth term of AP : a_n = a + (n – 1) × d
where, a = first term
d = common difference,
Notice the change is +3 for the first iteration and then +3 for the second iteration and so on
i.e. here,
a = -4
d = +3
Hence it must work for any nth variable.
So we have -4+3(n-1)
Hence, we get, an = -4 + 3(n – 1).
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Gary's pay is $15 per hour. He receives a 6% pay raise.
Which method can Gary use to correctly calculate his new hourly pay rate?
Choose Yes or No for each method.
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The calculation can be done by any method that adds 6% of the original salary to the original salary. That's equivalent to multiplying the original salary by 1.06 or 106%. The attachment shows some possibilities.
Answer:
_+_+_+_+_+_+_+_+_+_+_+_+_+_+_+_+_
Step-by-step explanation:
5/6=1/3+d
Thank you for the help and have a good day :)
Answers
Answer:
d = 1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
5/6 = 1/3 + d
Step 2: Solve for d
Subtract 1/3 on both sides: 5/6 - 1/3 = dRewrite fraction: 5/6 - 2/6 = dSubtract: 3/6 = dSimplify: 1/2 = dRewrite: d = 1/2how far is 10% of a 2000 kilometer trip
Answers
10 2000
1x200=
200
A rectangular prism is made up of 36 unit cubes and is 3 unit cubes high choose two possible combinations of width and length for the prism
A) 2 cubes wide and 6 cubes long
B) 3 cubes wide and 12 cubes long
C) 4 cubes wide and 3 cubes long
D) 5 cubes wide and 7 cubes long
E) 6 cubes wide and 6 cubes long
Answers
I think (i said think) the answer is E
I need help with this question thanks!
Answers
Answer:
n= -10
Step-by-step explanation:
50-20= 30 so -3n=30. So n= -10.
Answer:
n=-10
Step-by-step explanation:
-3n+20=50 move constant to the right hand side
-3n=50-20 subtract the numbers
-3n=30 divide both sides by -3 and the answer is n=-10
if f(x)=2x and g(x)=5x, what is f(g(x)) when x=3
Answers
Answer:
30
Step-by-step explanation:
First: f(3)=2(3) is 3F=6, divide by 3 on each side and F=2.
Second g(3)=5(3) is 3G=15, divide by 3 on each side and G=5.
Finally, f(g)(x) is (2)(5)(3) = 10x3 = 30.
The value of the function f ( g ( x ) ) when x = 3 is 30
What is Composition of functions?
Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that
h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be f (x ) = 2x
Let the second function g ( x ) = 5x
Now ,
The composite function is of the form f ( g ( x ) ) ,
So assign the value of x in f ( x ) as x = g ( x )
And , g ( x ) = 5x
So , the composite function will be
f ( 5x ) = 2 ( 5x )
= 10x
Now , when x = 3
f ( g ( 3 ) ) = 10 x 3
= 30
Therefore , the value of f ( g ( 3 ) ) is 30
Hence , the value of the function f ( g ( x ) ) when x = 3 is 30
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3. For each literal, make a Venn diagram with three nonempty sets A; B and C, which satisfy simulta-
neously the given conditions:
a)A ⊂ B, C ⊂ B, A ∩ C = ∅ b)A ⊂ C, A 6= B, B ∩ C = ∅
c)A ⊂ B, C * B, A ∩ C 6= ∅ d)A ⊂ (B ∩ C), B ⊂ C, C 6= B, A 6= C.
Answers
Answer:
c is the right answer
Answer:
A
Step-by-step explanation:
I say a because it's supposed to bring the Venn diagram alone
A number is multiplied by 2, and then the product is added to 9. The result is 49
Answers
Answer:
the answer would be twenty
Step-by-step explanation:
20x2=40 +9=49
49=49
please help
/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.
2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .
3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take
Answers
2. 138.9 * 15.5 = 2,152 pence which is 21$
3.163/50 =3.2 hours
Answer:
The answers are:
15.523 liters of petrol will be used.The cost of petrol will be: 2156.2 penceThe journey will take 3 hours and 16 minutes approximatelyStep-by-step explanation:
Given:
Distance of Hotel and car = 163 miles
Distance travelled by car per liter = 10.5 miles
The number of liters will be obtained by dividing the total distance by distance travelled in one liter.
So,
[tex]number\ of\ liters = \frac{163}{10.5} = 15.523\ liters[/tex]
2. Cost for petrol:
Cost of petrol per liter = 138.9 pence per liter
Then the total cost of petrol will be:
[tex]Total\ cost = 138.9*15.523 = 2156.1447 => 2156.2\ pences[/tex]
3. Time taken for journey
Distance travelled in an hour = speed = 50 miles per hour.
The speed is given by the formula:
[tex]speed = \frac{distance}{time}[/tex]
Putting the values
[tex]50 = \frac{163}{t}\\t = \frac{163}{50}\\t = 3.26\ hours[/tex]
It will take: 3 hours and 0.26*60 = 15.6 minutes => 3 hours 16 minutes
Hence,
The answers are:
15.523 liters of petrol will be used.The cost of petrol will be: 2156.2 penceThe journey will take 3 hours and 16 minutes approximatelyRead the information below and answer the questions. Suppose a researcher wants to learn more about the mean attention span of individuals in some hypothetical population. The researcher cites that the attention span (the time in minutes attending to some task) in this population is normally distributed with the following characteristics: 20 36 . Based on the parameters given in this example, answer the following questions: 1. What is the population mean (μ)?
Answers
Answer:
The population mean (μ) = 26.
Step-by-step explanation:
a) Data and Calculations:
The population characteristics = 20 and 36
Total population of interest = 56 (20 + 36)
Number of groups in the population = 2
Therefore, the population mean (μ) = 56/2 = 28
b) Based on the parameters given in this example, the population mean equals the average of the group characteristic (attention span of individuals in minutes) or item of interest. The population mean is calculated by adding the values of the group characteristic and then dividing the result by the number of values.
franciso makes $12 per hour doing part-time work on saturdays
Answers
Francisco is probably a beaner or mongrel with no business working or even existing in a white nation.
what is the answer to the question 1 plus the number 1
Answers
Answer:
2
Step-by-step explanation:
1 +1 = 2
A road has a grade of 28.4%. This means that the road rises 28.4 ft over a horizontal distance of 100 ft. What angle does the hill make with a horizontal line? ROUND TO THE NEAREST DEGREE!
Please help!!!!!
Answers
The angle would be the tangent.
Tangent ( angle) = opposite leg/ adjacent leg
Tangent angle = 28.4/100
Angle = tan^-1(28.4/100)
Angle = 16 degrees
Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a function for the volume V of the tray in terms of x
Answers
Answer:
you can use the same type of power to make it easier
5x+2=7x-4 what is x and if you can how you did it
Answers
Answer:
x=3
Step-by-step explanation:
2 = 7x−4−5x
2 = 2x−4
2+4 = 2x
6 = 2x
[tex]\frac{6}{2}[/tex] = x
3 = x
x = 3
I think the answer is X = 3
Help me please please
Answers
Answer:
2.94
Step-by-step explanation:
the clue is in the question, just times the numbers together
a philanthropist deposits 2,000$, in a trust fund that pays 6.0%interest , compunded continuously. The balance given to the college from which the has earned interest for 20 years. How much will the college receive? round to the nearest tenth
Answers
Answer:
$6414
Step-by-step explanation:
Step one
given
Principal=$2,000
rate= 6%= 0.06
Time= 20 years
Required
The final amount.
Step two:
The compound interest formula is
A= P(1+r)^t
substituting we have
[tex]A=2000(1+0.06)^2^0\\\\ A= 2000(1.06)^2^0\\\\ A=2000*3.207\\\\A=6414[/tex]
The amount given to the college is $6414
please answer I will mark as brainliest
Answers
Answer:
[tex]3)\ and\ 4)[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\A\ is\ the\ set\ of\ squares.\\x\ belongs\ to\ the\ Set\ A\\y\ belongs\ to\ the\ Set\ A,\ too.\\Hence,\\Lets\ consider\ that\ \sqrt{x} =a, \sqrt{y}=b\\Hence,\\a^2=x, b^2=y\\Before\ proceeding\ we\ may\ use\ the\ following\ Laws\ Of\ Exponents:\\* For\ any\ two\ real\ numbers,\ m\ and\ n, m^a*n^a=(mn)^a\\* For\ any\ two\ real\ numbers,\ m\ and\ n, \frac{m^a}{n^a}=[\frac{m}{n}]^a\\[/tex]
[tex]Now,\\When\ we\ intend\ to\ multiply\ x\ and\ y,\\x*y=a^2*b^2\\xy=a^2*b^2\\xy=(ab)^2\\As\ the\ new\ term\ xy\ is\ the\ square\ of\ product\ of\ a\ and\ b\,\ it\\ is\ a\ square\ too.\ Hence,\ it\ belongs\ in\ the\ set\ of\ squares(A).\\Similarly,\\When\ we\ intend\ to\ divide\ x\ by\ y,\\\frac{x}{y} =\frac{a^2}{b^2}\\Hence,\\\frac{x}{y} =[\frac{a}{b}]^2\\As\ the\ new\ term\ \frac{x}{y}\ is\ the\ square\ of\ the\ quotient\ of\ a\ and\ b\ i.e\ \frac{a}{b}, the\ term\\ \frac{x}{y}\ too\ belongs\ toA[/tex]
[tex]Why\ not\ 1)\ and\ 2)?\\Because\ by\ just\ adding/subtracting\ x\ and\ y:\\x+y=a^2+b^2\\x-y=a^2-b^2\\It\ doesnt\ really\ prove\ that\ their\ sum\ say\ c\ is\ a\ perfect\ square.(except\\ in\ the\ case\ of\ Pythagorean\ Triplets [Ex. 3,4,5\ or\ 6,8,10]. Hence, As\\ not\ all\ numbers\ form\ integral\ pythagorean\ triplets,\\ (x+y)\ and\ (x-y)\ are\ not\ always\ perfect\ squares\ and\ hence,\\ dont\ belong\ to\ Set\ A.[/tex]
[tex]This\ gives\ Options\ 3)\ and\ 4)\ as\ the\ right\ answer.[/tex]
if 3x+10=4, what is the value of 2+5x? please help
Answers
Answer:
-8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3x + 10 = 4
2 + 5x
Step 2: Solve for x
Subtract 10 on both sides: 3x = -6Divide 3 on both sides: x = -2Step 3: Evaluate
Substitute in x: 2 + 5(-2)Multiply: 2 - 10Subtract: -8Find the value of x if DE is a midsegment.
B
D
26
х
A
E
C
Answers
Answer:
my names emily too!!!!
Step-by-step explanation:
quadrilateral ABCD is dilated by a scale factor of 2 centered around (2,2). Which statement is true about the dilation?
Answers
Answer:
The vertices of the image will have the coordinates
A(-5, 1) → A'(2x-2, 2y-2) → A'(-12, 0)
B(-4, 3) → B'(2x-2, 2y-2) → B'(-10, 4)
C(1, 2) → C'(2x-2, 2y-2) → C'(0, 2)
D(-3, 0) → D'(2x-2, 2y-2) → D'(-8, -2)
Step-by-step explanation:
Note: You missed to mention the vertices of a quadrilateral ABCD. So, I am assuming the following vertices. It would anyways clear your concept.
Let us suppose
A(-5, 1)B(-4, 3)C(1, 2)D(-3, 0)We know that the rule of the dilation with the center of dilation at (2,2) by a scale factor of 2 is:
(x, y) → (2x-2, 2y-2)Therefore, the vertices of the image will have the coordinates
A(-5, 1) → A'(2x-2, 2y-2) → A'(-12, 0)
B(-4, 3) → B'(2x-2, 2y-2) → B'(-10, 4)
C(1, 2) → C'(2x-2, 2y-2) → C'(0, 2)
D(-3, 0) → D'(2x-2, 2y-2) → D'(-8, -2)
tor. Factor each expression. 2x + 8
Answers
Answer:
The factorized form of 2x + 8 is 2(x+4).
Step-by-step explanation:
Given the expression
2x + 8Let us factorize the expression
2x + 8
Rewrite 8 as 2·4
[tex]2x\:+\:8=2x+2\cdot \:\:4[/tex]
Factor out common term 2
= 2(x+4)
Therefore, factorized form of 2x + 8 is 2(x+4).
A 10 pound bag of grapes costs $14.00. How many pounds of grapes can you get for $7.00?
