using the learning curve assumption,
The completion time for unit 1 is 360 hours.
The completion time for unit 2 is approximately 378 hours.
The completion time for unit 8 is approximately 430 hours.
The completion time for unit 32 is approximately 586 hours.
What is learning curve?
A learning curve is a graphical representation or mathematical model that illustrates the relationship between learning or experience and performance or productivity over time.
To estimate the completion times using the learning curve assumption, we'll use the formula:
\(T = T1 * (N^b)\)
Where:
T is the completion time for a particular unit.
T1 is the completion time for the initial unit.
N is the cumulative production quantity.
b is the learning curve coefficient.
Given information:
T1 (completion time for unit 1) = 360 hours
b (learning curve coefficient) = 0.12 (12% reduction per replication)
N (cumulative production quantity):
For unit 2: N = 2
For unit 8: N = 8
For unit 32: N = 32
Now let's calculate the completion times:
For unit 1:
\(T = T1 * (N^b)\\\\T = 360 * (1^0.12) = 360\ hours\)
For unit 2:
\(T = T1 * (N^b)\)
\(T = 360 * (2^0.12)\) ≈ 378 hours (rounded to the nearest hour)
For unit 8:
\(T = T1 * (N^b)\)
\(T = 360 * (8^0.12)\) ≈ 430 hours (rounded to the nearest hour)
For unit 32:
\(T = T1 * (N^b)\)
\(T = 360 * (32^0.12)\) ≈ 586 hours (rounded to the nearest hour)
The completion time for unit 1 is 360 hours.
The completion time for unit 2 is approximately 378 hours.
The completion time for unit 8 is approximately 430 hours.
The completion time for unit 32 is approximately 586 hours.
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For the polynomial function, find the requested value: f (x) = 10x2 − 4x − 5; f (−2)
Answer:
So first we substitute -2 for x
f(-2) = 10(-2)^2 - 4(-2) - 5
f(-2) = 400 + 8 - 5
f(-2) = 400 + 3
f(-2) = 403
Step-by-step explanation:
About how many times larger than the diameter for the moon is the diameter of the sun ? Write it in scientific notation.
Answer:
It is about 4.0*10^2
Step-by-step explanation:
Which of the following allows for someone to draw conclusions about a population from the information collected in a population sample? a. magnitude statistics b. central tendency c. inferential statistics d. effect size
The correct answer is c. Inferential Statistics.
Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.
Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.
This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.
Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.
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can someone make a systems of equations word problem using (2, -2)? i included the equation
The word problem including the given equation is mentioned below.
Given, a system of equations
x + y = 0
2x - y = 6
We have to make a word problem using the given system of equations.
Ram and Rahul are two friends and both attempt a test of 10 marks. Now, Ram prepared for the test whereas Rahul didn't prepared for the test and marked the wrong answers in the test. If negative marking is allowed in the test and it is given that, sum of the marks of both the students is zero. Also, twice the marks of Ram is 6 less than the marks of Rahul.
Find the marks of both the students.
Hence, the word problem including the given equation is mentioned above.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ASAP
Answer:
what do you need
Step-by-step explanation:
The rocket that carried the Curiosity Rover to Mars traveled at a speed of 21,000 miles per hour. What is this speed to the nearest mile per second?
Answer:
5.83 miles per second or 6 miles rounded
Step-by-step explanation:
There are 60 minutes per hour and 60 seconds per minute
60 x 60 = 3600 seconds her hour
21000/3600 = 5.83 miles per second or 6 miles rounded
Answer:
6 miles per second
Combine the like terms to simplify x + 4 - 5x - 2
Answer:
-1
Step-by-step explanation:
what you would start by doing is subtract x from 5 which gives it -6x. then, you would add the 2 to the 4 which cancels out the negative 2. so it should look like 6=-6x, then you would divide 6 by -6 which gives your answer as -1
3 x : 10 = 5 : 2 Calculate the value of x
Answer:
so the value of x is 8.3333≈8.3
Step-by-step explanation:
3x:10=5:2
\(\frac{3x}{10}=\frac{5}{2}\)
by cross-multiplication
3x×2=5×10
6x=50
6x/6=50/6
x=8.33
i hope this will help you :)
Shelley’s resolution is to bike 192 miles each week. If she rides with a average speed of 9.6 mph and plans to ride an equal amount of time each day, about how many hours a day should she plan to ride?
Answer:(192/9.6)÷7=20/7
Step-by-step explanation:
Using a calculator, find the value of each of the following ratios, giving your answer correct to 3 significant figures. (a) tan 16° (b) tan 89° (c) tan 18.7° (d) tan 45.4°
Answer: (a) tan 16°:
Using a calculator, we get:
tan 16° ≈ 0.291
Rounding to three significant figures, tan 16° ≈ 0.291.
(b) tan 89°:
Using a calculator, we get:
tan 89° ≈ 57.290
Note that this value is extremely large and not meaningful in most contexts.
(c) tan 18.7°:
Using a calculator, we get:
tan 18.7° ≈ 0.340
Rounding to three significant figures, tan 18.7° ≈ 0.340.
(d) tan 45.4°:
Using a calculator, we get:
tan 45.4° ≈ 1.058
Rounding to three significant figures, tan 45.4° ≈ 1.06.
Step-by-step explanation:
Solve for measure of angle a.
Answer:
a = 26°
Step-by-step explanation:
the measure of a secant- secant angle is half the difference of the intercepted arcs, that is
a = \(\frac{1}{2}\) (66 - 14)° = \(\frac{1}{2}\) × 52° = 26°
solve the following
n^2=36
Answer: n1 = -6, n2 = 6
Step-by-step explanation:
\(\sqrt[]{n^{2} } =\sqrt{36}\\n=+-6\\n=-6\\n=6\)
What is one way to determine if something being shared in media is a fact or an opinion?
A)Check what is being shared by finding multiple reliable resources.
B)Check what is being shared by listening to the news.
C) Ask your teacher.
D) Phone a friend
3/4(x+8)=9 In the equation shown, what is the value of xx that makes the equation true?
Answer:
x = 4
Step-by-step explanation:
here's my work :D
Answer:
x = 4
Step-by-step explanation:
3/4(x + 8) = 9 <== convert the fraction to a decimal
0.75(x + 8) = 9 <== distribute
0.75x + 6 = 9 <== subtract 6 from both sides
- 6 - 6
0.75x = 3 <== divide both sides by 0.75 to isolate the variable
/0.75 /0.75
x = 4
Hope this helps!
you buy a package of 122 smarties and 19 of them are red. what is a 95% confidence interval for the true proportion of red smarties?
Answer:
1.96
Step-by-step explanation:
For the sequence defined by: a_1 = 4 a_n + 1 =( 4/a_n ) -3 Find: a_2, a_3, a_4
The terms a_2, a_3, and a_4 are -2, -5, and -23/5, respectively.
Given the sequence a_1 = 4 and a_n + 1 = (4 / a_n) - 3; To find the terms a_2, a_3, and a_4 using the recursive formula of the given sequence:
We need to find the first few terms by substituting the values. For n=1, a_1 = 4. Using this value, we can find the value of a_2.
Therefore,a_1 = 4 a_2 = a_1+1 = (4 / a_1) - 3a_2 = (4 / 4) - 3 = -2.
This means a_2 = -2Next, we will find a_3 by using the value of a_2.a_3 = a_2+1 = (4 / a_2) - 3a_3 = (4 / (-2)) - 3 = -5.
Therefore, a_3 = -5.Finally, we will find a_4 by using the value of a_3.a_4 = a_3+1 = (4 / a_3) - 3a_4 = (4 / (-5)) - 3 = -23/5.
Therefore, a_4 = -23/5.
Thus, the terms a_2, a_3, and a_4 are -2, -5, and -23/5, respectively.
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please help ASAP I dont get it
A)
triangles are similar by AA, Check the picture below.
B)
if DE = 222, then
\(\cfrac{AB}{DE}=\cfrac{BC}{DC}\implies \cfrac{AB}{222}=\cfrac{76}{24}\implies \cfrac{AB}{222}=\cfrac{19}{6} \\\\\\ AB=\cfrac{(222)19}{6}\implies AB=703\)
I WILL GIVE BRAINLIEST PLEASE HELP FULLY (pt 2)
2. Mauricio plans on retiring in 20 years, and he wants to double his money by that time. He has contacted various banks, looking for a CD that compounds interest monthly, and to calculate what annual interest rate he needs, he is using the rule of 72. (3 points: Part I – 1 point; Part II – 1 point; Part III – 1 point)
Part I: What is the rule of 72? To represent the annual interest rate, use r.
Part II: What equation can Mauricio set up to solve for the annual interest rate he needs to double his money by the time he retires?
Part III: What annual interest rate does Mauricio need to double his money by the time he retires?
Answer: What expression can Melanie write to figure out how much her ... Mauricio plans on retiring in 20 years, and he wants to double his money by that time. He has contacted various banks, looking for a CD that compounds interest monthly, and to calculate what annual interest rate he needs, he is using the rule of 72.
Step-by-step explanation: I did what I could man
Find the prime factorization of 1296
METHOD WAY!
Answer:
\(1296 = 6 \times 6 \times 6 \times 6 = {6}^{4} = {2}^{4} \times {3}^{4} \)
Can someone help me
the answer is 9 because
3x9=27
and 27-18=9
mark brainliest plz
Which number line shows 1.5 graphed?
Answer:
The third one down
Step-by-step explanation:
A local furniture store is advertising a deal in which you buy a $3,000 dining room set and do not need to pay for two years (no interest cost is incurred).
How much money would you have to deposit now in a savings account earning 5 percent APR, compounded monthly, to pay the $3,000 bill in two years?
How much would you have to deposit in the savings account each month to be able to pay the bill?
You would need to deposit approximately $109.56 each month in the savings account to be able to pay the $3,000 bill in two years.
To calculate how much you would need to deposit in the savings account each month to be able to pay the bill, we can use the present value of an ordinary annuity formula:
PV = PMT * [(1 - (1 + r/n)^(-n*t)) / (r/n)]
Where:
PV is the present value (the initial deposit),
PMT is the monthly deposit amount,
r is the annual interest rate (in decimal form),
n is the number of compounding periods per year,
t is the number of years.
In this case, the present value (PV) is $2,716.89, the annual interest rate (r) is 5% (or 0.05 in decimal form), the compounding is monthly (n = 12), and the time (t) is 2 years.
Let's calculate the monthly deposit amount (PMT):
2716.89 = PMT * [(1 - (1 + 0.05/12)^(-12*2)) / (0.05/12)]
Simplifying the equation:
2716.89 = PMT * [(1 - 0.826446) / 0.004167]
Calculating the right-hand side of the equation:
PMT ≈ $109.56
Therefore, you would need to deposit approximately $109.56 each month in the savings account to be able to pay the $3,000 bill in two years.
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please help me with this question.
Answer:
V = 972m^3
Step-by-step explanation:
small = lwh = 9(2)(6)
large = lwh = 16(9)(6)
V = 9(2)(6) + 16(9)(6)
V = 108 + 864
V = 972m^3
A student scored in the 60th percentile on her math exam. what does this student's score mean in relation to those of the other test takers?
Scoring in the 60th percentile on her math exam means that the student performed better than 60% of other test takers.
Percentile is a measure that indicates the percentage of data points that are below a particular value in a given dataset. In this case, the student's score is in the 60th percentile, which means she scored better than 60% of the other test takers.
Imagine arranging all the scores of the test takers in ascending order. The 60th percentile represents the score that is greater than 60% of the scores below it and less than 40% of the scores above it. It is a way of understanding how a particular score compares to the rest of the scores in the group.
However, it also means that 40% of the test takers scored higher than her. If the student scored in the 60th percentile, it indicates that she performed relatively well compared to the majority of the test takers.
Percentiles provide a useful way to interpret individual scores in relation to the entire distribution of scores in a dataset.
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a box with a square base and open top must have a volume of 4,000 cm3. find the dimensions of the box (in cm) that minimize the amount of material used. sides of base cm height
Therefore width = 10cm
height = 20cm
length = 20cm
given that
volume = 4,000\(cm^{3}\)
let height = h
width = w
length = l
width and length are equal
height = length = h
volume of box = height × width × height
4000 = h × w × h
4000 = \(h^{2}\)w
w = 4000/\(h^{2}\)
surface area(SA) = area of base + sum of area of each side
= \(h^{2}\) + hw + hw + hw + hw
= \(h^{2}\) + 4hw
substitute y = 4000/\(h^{2}\)
SA = \(h^{2}\) + 4x(4000/ \(h^{2}\) )
SA = \(h^{2}\) + 16000/h
Taking the derivative:
SA' = 2h - 16000/ \(h^{2}\)
making SA' = 0:
0 = 2h - 16000/ \(h^{2}\)
2h = 16000/ \(h^{2}\)
2\(h^{3}\) = 16000
\(h^{3}\) = 8000
h = 20 cm
w = 4000 / \(h^{2}\) = 4000 / 20² = 10 cm
Therefore width = 10cm
height = 20cm
length = 20cm
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The sum of three consecutive integers is 208.
Answer:
68 1/3 + 69 1/3 + 70 1/3 = 208
Step-by-step explanation:
Sorry if it can't have a fraction but it should be 68 1/3 + 69 1/3 + 70 1/3 = 208.
Which is an equivalent equation solved for t? t = t equals StartFraction f minus v Over a EndFraction z. t = t equals StartFraction f minus a Over v EndFraction z. t = a(f – v) t = v(f – a)
Answer:
\(t=\dfrac{f-v}{a}\)
Step-by-step explanation:
The equation that represents the final velocity of an object is given by :
f=v+at ....(1)
v is initial velocity
a is acceleration rate
t is time
We need to solve the above equation for t.
Subtracting both sides of equation (1) by v
f-v=v-v+at
f-v=at
Dividing both sides of the above equation by a
\(\dfrac{f-v}{a}=\dfrac{at}{a}\\\\t=\dfrac{f-v}{a}\)
So, the value of t is \(\dfrac{f-v}{a}\).
Answer:
the answer is A
i am doing the assignment right now and i got it correct
how do make number lines
Answer:
Select the plain line in the Insert Shapes group. Place your cursor where you want a tick mark on your line, hold the "Shift" key, and drag to create a vertical mark. Holding the Shift key ensures a straight line.
Step-by-step explanation:
PLS HELP
1.
Seats in a theater are curved from the front row to the back. The front row has 18 chairs, the second has 26
and the third has 34, and so on.
a.
Write a recursive rule for this series (2 points):
b. Write an explicit rule in simplified form for this series:
Show the steps to simplify. (2 points)
c. Using the explicit formula, find the number of chairs in row 7 (show work) (3 points):
on Voy bob ochote
bu ma'isto
d. The auditorium can hold 12 rows of chairs. Write a sigma notation for this series, and then use either series
formulas to calculate how many chairs can fit in the auditorium. Show all work. (5 points)
The chairs in the auditorium illustrates an arithmetic sequence
The recursive rule is: an = an-1 + 8; a1 = 26The explicit rule is: an = 18 + 8nThere are 74 seats in the 7th row840 chairs can fit the auditoriumThe recursive ruleFrom the question, we have the following sequence:
Seats: 18, 26, 34
Rewrite as:
26 = 18 + 8
34 = 26 + 8
The above means that:
The number of seats on a row is 8 added to the the number of seats on the previous row.
Hence, the recursive rule is:
an = an-1 + 8; a1 = 26
The explicit ruleIn (a), we have:
a1 = 26 and d = 8
The explicit rule is calculated using:
an = a1 + (n -1) * d
This gives
an = 26 + (n - 1) * 8
Expand
an = 26 - 8 + 8n
Evaluate the difference
an = 18 + 8n
Hence, the explicit rule is:
an = 18 + 8n
The number of seats in the row 7This means that n = 7.
So, we have:
a7 = 18 + 8 * 7 = 74
Hence, there are 74 seats in the 7th row
The sigma notationWe have the maximum number of rows to be 12.
So, the sigma notation would be:
\(\sum\limits^{12}_{n=1} {18 + 8n}\)
The total number of seats is:
Sn = n/2(2a + (n -1) * d)
This gives
S12 = 12/2(2 * 26 + (12 -1) * 8)
S12 = 840
Hence, 840 chairs can fit the auditorium
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HELP PLSSSSSSS algebra 1
Answer:
answer is x=-1/10 is the answer