Answer:
-2 = nStep-by-step explanation:
-5 = n - 3
- 5 + 3 = n
-2 = n
--------------
check
-5 = -2 - 3
-5 = -5
the answer is good
2f -g
so f= ( 4) and g= ( 5 )
( 1 ) ( 3 ) plz help me :(
Answer:
2x4 - 5x1x3 {bracket means times] =8-15=-7
Step-by-step explanation:
2f=2xf=2x4=8
-
g=5x1x3=15
=8-15
=-7
Plot each of the following functions using Octave. For each plot use a window size of x
min
= −2π,x
max
=2π, provide a title of the plot, label the axes, and display a grid. How do you plot the function g(x) = cos(x) + xe^-x in octave?
To plot the function g(x) = cos(x) + x\(e^{-x\) in Octave, you can follow some steps.
Open Octave or GNU Octave in your preferred environment.
Define the function g(x) using an anonymous function syntax:
g = (x) cos(x) + x.*exp(-x);
Set the range of x values for the plot. In this case, we'll use x ranging from -2pi to 2pi:
x = linspace(-2*pi, 2*pi, 1000);
Plot the function using the defined range of x values:
plot(x, g(x));
Customize the plot by adding a title, labeling the axes, and displaying a grid:
title("Plot of g(x) = cos(x) + xe^{-x}");
xlabel("x");
ylabel("g(x)");
grid on;
Display the plot.
After executing these steps, you should see a plot of the function g(x) = cos(x) + x\(e^{-x\) with the specified window size, title, labeled axes, and grid.
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Question The general form of the equation of a circle is x2+y2−25x+5y+5=0. What is the equation of the circle in standard form?
Step-by-step explanation:
please refer to the sketch fir the details
Instructors at a sports club were surveyed about whether they are certified in CPR. The survey results are shown in the two-way frequency table.
Does the data show an association between the type of instructor and a certification in CPR? PLEASE I NEED HELP
Answer: The data shows an association between the type of instructor and a certification in CPR. The association is that swimming instructors are less likely than tennis instructors to be certified in CPR. This can be seen from the frequency table, where all the swimming instructors are not certified in CPR, while only 4 out of 12 tennis instructors are not certified in CPR, so yes, the data does show an association between the type of instructor and a certification in CPR.
Step-by-step explanation:
The two-way frequency table shows the number of instructors who are certified or not certified in CPR, broken down by type of instructor (swimming or tennis). The data in the table allows us to see the relationship between the two variables (type of instructor and certification in CPR) and whether there is an association between them.
An association means that the values of one variable are related to the values of another variable in some way. In this case, the type of instructor (swimming or tennis) is related to whether or not the instructor is certified in CPR. The data shows that the proportion of swimming instructors who are not certified in CPR (100%) is higher than the proportion of tennis instructors who are not certified in CPR (33%). This indicates that there is an association between type of instructor and certification in CPR, with swimming instructors being less likely to be certified in CPR than tennis instructors.
It is important to note that this association does not necessarily imply causation, meaning that being a swimming instructor does not cause one to not be certified in CPR, but it could be the other way around, or it could be due to some other factors that the data does not show.
A chemical engineer is trying to increase the amount of the useful product in a reaction. She performs the reaction with her new equipment 10 times and gets the following amounts of the useful product:
Answer:
I think ur missing the actual data mate
Step-by-step explanation:
Answer:
Step-by-step explanation:
Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 60% percent of the items on our list," her father says. Anastasia sees 12 items in the cart.
How many grocery items are on the list?
Answer:
Your answer should be 20
Step-by-step explanation:
What is the test that you can do to tell if a graph represents a function?
A
the horizontal line test
B
the vertical line test
C
the expression test
D
the litmus test
Answer:
djejvjzjwjcxjsjejcjxjsn
Answer:
The answer is B
Step-by-step explanation:
A Vertical Line test.
HELP PLEASEJG
Problem: What is the actual distance between two cities if it is drawn to scale of 1:3,000,000 and it is 3 cm on the map?
Answer:
distance between two cities will be 9 000 000 km
Answer:
Step-by-step explanation:Scale of a map is 1:3000000 i.e, 1cm on map =30km so distance of towns on map =3.5cm Actual distance = 3.5×30=105km
The total cost (in dollars) of producing x food processors is C(x)=1900+60x−0.3x^2
(A) Find the exact cost of producing the 31st food processor.
(B) Use the marginal cost to approximate the cost of producing the 31st food processor.
A) The exact cost of producing the 31st food processor is $3771.70. B) Using the marginal cost, the approximate cost of producing the 31st food processor is $3741.40.
(A) To find the exact cost of producing the 31st food processor, we substitute x = 31 into the cost function C(x) = 1900 + 60x - 0.3x^2:
C(31) = 1900 + 60(31) - 0.3(31)^2
C(31) = 1900 + 1860 - 0.3(961)
C(31) = 1900 + 1860 - 288.3
C(31) = 3771.7
Therefore, the exact cost of producing the 31st food processor is $3771.70.
(B) The marginal cost represents the rate of change of the cost function with respect to the quantity produced. Mathematically, it is the derivative of the cost function C(x).
Taking the derivative of C(x) = 1900 + 60x - 0.3x^2 with respect to x, we get:
C'(x) = 60 - 0.6x
To approximate the cost of producing the 31st food processor using the marginal cost, we evaluate C'(x) at x = 31:
C'(31) = 60 - 0.6(31)
C'(31) = 60 - 18.6
C'(31) ≈ 41.4
The marginal cost at x = 31 is approximately 41.4 dollars.
To approximate the cost, we add the marginal cost to the cost of producing the 30th food processor:
C(30) = 1900 + 60(30) - 0.3(30)^2
C(30) = 1900 + 1800 - 0.3(900)
C(30) = 3700
Approximate cost of producing the 31st food processor ≈ C(30) + C'(31)
≈ 3700 + 41.4
≈ 3741.4
Therefore, using the marginal cost, the approximate cost of producing the 31st food processor is $3741.40.
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What is the present value of $100 per year forever (where the first payment is one year from now) at an discount rate of 1%?
The present value of $100 per year forever (where the first payment is one year from now) at a discount rate of 1% is $10,000.The present value of a perpetuity is the amount of money that would be needed today to produce a stream of equal payments in the future.
The formula for the present value of a perpetuity is:
PV = PMT / r
Where:
PV is the present value
PMT is the periodic payment
r is the discount rate
In this case, the periodic payment is $100 and the discount rate is 1%. Substituting these values into the formula, we get:
PV = $100 / 0.01 = $10,000
This means that $10,000 invested today at a 1% discount rate would produce a stream of $100 payments per year forever.
The present value of a perpetuity is the amount of money that would be needed today to produce a stream of equal payments in the future. The present value of a perpetuity is always equal to the periodic payment divided by the discount rate. In this case, the periodic payment is $100 and the discount rate is 1%. Therefore, the present value of the perpetuity is $10,000.
The present value of perpetuity can be used to calculate the value of an asset that produces a stream of equal payments in the future. For example, a bond that pays $100 per year forever has a present value of $10,000 if the discount rate is 1%.
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a pile of bricks weight 22kg.18759grams of bricks are removed.what weight is left?
The weight that is left when 18759 grams of bricks are removed is 3.241 kg
How to determine the remaining weight?From the question, we have the following parameters that can be used in our computation:
Pile of bricks = 22 kg
The weight removed from the pile = 18759 grams
The remaining weight can be calculated using the following subtraction equation
Remaining weight = Pile of bricks - The weight removed from the pile
Substitute the known values in the above equation, so, we have the following representation
Remaining weight = 22 kg - 18759 grams
Convert grams to kg
This gives
Remaining weight = 22 kg - 18.759 kg
Evaluate the difference in the above equation
Remaining weight = 3.241 kg
Hence, the remaining weight is 3.241 kg
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(2,-5) (origin) slope
Answer:
-5/2
Step-by-step explanation:
A right triangle and two of its side lengths are shown in the diagram. 11.9 cm 7.9 cm x cm Which measurement is closest to the value of x in centimeters?
6.3
4.0
14.3
19.8
The measurement that is closest to the value of x, in centimeters, is given as follows:
14.3.
How to obtain the value of x?In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.
Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.
The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.
Then the length of x is calculated as follows:
x² = 11.9² + 7.9²
x = square root of (11.9² + 7.9²)
x = 14.28.
Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.
Missing InformationWe suppose that 11.9 cm and 7.9 cm are the measures of the legs.
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The population of the school increased by 16%, and now the population is 667. What was the population before the increase?
well, the population before the increase was "x", which oddly enough is the 100%, now if it increased by 16% that means 100% + 16% = 116%, and we happen to know that's 667
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 667& 116 \end{array} \implies \cfrac{x}{667}~~=~~\cfrac{100}{116} \\\\\\ \cfrac{x}{667}=\cfrac{25}{29}\implies 29x=(25)(667)\implies x=\cfrac{(25)(667)}{29}\implies x=575\)
Write an expression to represent the
total area as the sum of the areas of
each room.
12(9 + 3) =
=
?
.
9 +12.
The expression to represent the total area as the sum of the areas of each room is: 108 + 36 = 9x + 12x
To represent the total area as the sum of the areas of each room, we can expand the expression 12(9 + 3) and rewrite it in the form of the sum of the areas.
12(9 + 3) can be simplified as follows:
12(9 + 3) = 12 x 9 + 12 x 3
This is equivalent to:
108 + 36
Therefore, the expression to represent the total area as the sum of the areas of each room is:
108 + 36 = 9x + 12x
where x represents the area of each room.
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* PLEASE HURRY* Here is the graph for one equation in a system of equations:
(0,4) (5.5,0)
Write an equation for the system so it has infinitely many solutions.
Write a second equation whose graph goes through (0,1) so the system has no solutions.
Write a third equation whose graph goes through (0,2) so the system has one solution at (4,1).
Answer:
1) The equation that has infinitely many solution is y = -8/11·x + 4
2) The equation of the graph that has no solution is y = -8/11·x + 1
3) The equation of the line that has only one solution is y = -1/4·x + 2
Step-by-step explanation:
1) The points on the graph are;
(0, 4), and (5.5, 0)
The slope of the line defined by the given two points, we have;
(0 - 4)/(5.5 - 0) = -40/55 = -8/11
The equation of the straight line graph in point and slope form, we have;
y - 4 = -8/11 × (x - 0)
y - 4 = -8/11·x
For the equation for the system that has infinitely many solution, we have;
y = -8/11·x + 4
2) For the equation whose graph foes through the point (0, 1) and the system has no solution, we have;
An equation that has no solution with the equation y = -8/11·x + 4, is parallel to y = -8/11·x + 4, and therefore, the slope are equal
Therefore, the equation whose graph foes through the point (0, 1) and the system has no solution, in point and slope form is given as follows;
y - 1 = -8/11 × (x - 0)
y - 1 = -8/11·x
The equation of the graph that has no solution is therefore;
y = -8/11·x + 1
3) For the equation of the graph that goes through the point (0, 2), and has a common solution with the system at (4, 1), we have;
The slope of the graph is (1 - 2)/(4 - 0) = -1/4
The equation of the line that has only one solution with the system in point and slope form is given as follows;
y - 2 = -1/4×(x - 0)
y - 2 = -1/4·x
The equation of the line that has only one solution in standard form is therefore;
y = -1/4·x + 2
Help me pleaseeeeeee
Answer:
only y= 8x-6
Step-by-step explanation:
in order know of an equation is linear is if the equation when graphed makes a straight line the equation should be in the format y=mx+b or y=mx if it is a proportional relationship.
1. A Better Golf Tee? An independent golf equipment testing facility compared the difference in the performance of golf balls hit off a brush tee to those hit off a 4 yards more tee. A'Air Force One D
Overall, the testing facility concluded that the brush tee would be a better option for golfers looking to improve their drives.
An independent golf equipment testing facility compared the difference in the performance of golf balls hit off a brush tee to those hit off a 4 yards more tee. A'Air Force One DFX driver was used to hit the balls, with an average swing speed of 100 miles per hour. The testing facility wanted to determine which tee would perform better and whether it would be beneficial to golfers to switch to a different tee.
The two different types of tees were the brush tee and the 4 Yards More tee. The brush tee is designed with bristles that allow the ball to be suspended in the air, minimizing contact between the tee and the ball. This design is meant to reduce spin and allow for longer and straighter drives. On the other hand, the 4 Yards More tee is designed to be more durable than traditional wooden tees, and its design is meant to create less friction between the tee and the ball, allowing for longer drives.
The testing results showed that the brush tee was able to create longer and straighter drives than the 4 Yards More tee. This is likely due to the brush tee's design, which allows for less contact with the ball, minimizing spin and creating longer and straighter drives.
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Solve:
3(4 - 2x) = -x +1
13
X =
5
O B. x = 11
O C. x= -1
x-5
D. X
Step-by-step explanation:
\(3(4 - 2x) = - x + 1 \\ 12 - 6x = - x + 1 \\ 12 - 1 =6x - x \\ 11 = 5x \\ \frac{11}{5} = x \\ 2 \frac{1}{5} = x \\ \)
The solution of the equation is x = 11/5
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
The given equation is,
3 (4 - 2x) = -x + 1
We have to solve the equation.
Distributive property states that, for three numbers, a, b and c,
a(b + c) = ab + ac
So, 3 (4 - 2x) = (3 × 4) - (3 × 2x)
= 12 - 6x
Substituting,
3 (4 - 2x) = -x + 1
12 - 6x = -x + 1
-6x + x = 1 - 12
-5x = -11
x = 11/5
Hence the solution is x = 11/5.
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if the population of san diego grows by 3.5% per year how long will it take the population to double?
It will take approximately 20 years for the population of San Diego to double at a growth rate of 3.5% per year
How to calculate long will it take the population to doubleTo find out how long it will take for the population to double, we can use the rule of 70. The rule of 70 states that to find the approximate number of years it takes for a quantity to double, divide 70 by the annual growth rate as a percentage.
In this case, the annual growth rate is 3.5%, so we can calculate the doubling time as follows:
70 / 3.5 = 20
Therefore, it will take approximately 20 years for the population of San Diego to double at a growth rate of 3.5% per year.
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If you had a choice between investing $1,000 in a mutual fund that are 7.5% compound interest or a bond that earns simple interest at 7.5% which would you prefer and why
Answer:
mutual fund
Step-by-step explanation:
Step one:
given data
let say the investment plan will span for 5 years
so for mutual fund
P= $1000
r= 7.5%= 0.075
t= 5
compound interest
A= P(1+r)^t
substituting
\(A= 1000(1+0.075)^5\\\\A=1000(1.075)^5\\\\A=1000*1.436\\\\A=$1436\\\\\)
$1436
so for bond
P= $1000
r= 7.5%= 0.075
t= 5
simple interest
A= P(1+rt)
substituting
\(A= 1000(1+0.075*5)\\\\A=1000(1+0.375)\\\\A=1000(1.375)\\\\A=1375\\\\\)
A=$1375
$1375
I would go for mutual fund compounded interest because it offers extra
$61 (1436-1375) for the same investment capital
You are going to take a 10-question True/False test. How many ways can this test be answered if leaving questions blank is a viable option for each question?
Answer:
There are 59,049 different ways of answering the exam.
Step-by-step explanation:
The first thing we need to count is the total number of selections, then we need to count the number of options for each one of these selections. The total number of combinations will be equal to the product between all the numbers of options.
Here, the selections are each one of the 10 questions, so we have 10 selections.
And each one of these selections has 3 options (true, false, blank)
So, we have 10 selections with 3 options each, then the total number of combinations will be:
C = 3*3*3*3*3*3*3*3*3*3 = 3^10
C = 59,049
There are 59,049 different ways of answering the exam.
Ex2. Prime Numbers ( 40 points) You will implement in this exercise an ancient Greek algorithm for finding the prime numbers less than a given number. (ask your instructor about the name of the algorithm after class!) Reminder: A prime number is a positive integer greater than 1 that is divisible only by itself and by 1 . Here is how the algorithm works assuming we would like to find the prime numbers ≪=20 : 1. Initially, assume that all the numbers are prime by marking them with 1 (0 means not prime). 2. For each number that is marked as prime, starting at 2, mark all of its multiples as not prime. which marks all the multiples of num in the array (of size n ) as not prime (excluding num). 2. Write a program that prints the prime numbers κ=150 : a) Create and initialize an array for marking the numbers with 0 (not prime) or 1 (prime). b) For every number 2<=i<150, use function cross_multiples_out to mark all of its multiples as not prime. c) Pass through the array and print the numbers marked as prime.
Previous question
The code efficiently identifies prime numbers using the ancient Greek algorithm. It initializes an array, marks the multiples of each prime number as non-prime, and then prints the prime numbers.
This algorithm demonstrates a straightforward and efficient method for finding prime numbers within a given range.The ancient Greek algorithm for finding prime numbers less than or equal to a given number is implemented in the provided Python code. The algorithm follows a simple approach of marking numbers as prime or non-prime.
It starts by assuming all numbers as prime and then proceeds to mark the multiples of each prime number as non-prime. The code initializes an array where each element represents a number and marks them all as prime initially. Then, it iterates over each number from 2 to the given number, checking if it is marked as prime. If it is, the algorithm crosses out all its multiples as non-prime. Finally, it prints the numbers that remain marked as prime.
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HELP? WILL GIVE BRAINLIEST
Answer:
p =43/2
Step-by-step explanation:
8/9 = 12/(p-8)
We can use cross products
8 * (p-8) = 9*12
Distribute
8p - 64 = 108
Add 64 to each side
8p -64+64 = 108+64
8p =172
Divide by 8
8p/8 =172 /8
p =43/2
Answer: p=43/2
Step-by-step explanation:
To solve for p, you would cross multiply.
\(8(p-8)=108\) [distribute the 8]
\(8p-64=108\) [add 64 on both sides]
\(8p=172\) [divide both sides by 8]
\(p=\frac{172}{8}\) [simplify the fraction]
\(p=\frac{43}{2}\)
What are the values of x that satisfy the equation x2 + 4x - 1 = 0?
Answer:
Step-by-step explanation:
x=-2+ root 5
x=-2- root 5
The values of \(x\) are required.
The values are \(x=-2+\sqrt{5},-2-\sqrt{5}\)
Quadratic equationsThe given equation is
\(x^2+4x-1=0\)
The required formula to solve the equation \(ax^2+bx+c=0\) is
\(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)
Here,
\(a=1\)
\(b=4\)
\(c=-1\)
Substituting the values
\(x=\dfrac{-4\pm \sqrt{4^2-4\times1\times\left(-1\right)}}{2\times 1}\\\Rightarrow x=-2+\sqrt{5},-2-\sqrt{5}\)
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Please help!!! Will give brainliest!
Answer:
C) $584.93
Step-by-step explanation:
beginning of year 5 means no interest is being added to the principal since the end of year 4; therefore the exponent must reduce 5 by 1
Answer: C
Step-by-step explanation:
I dont know the explanation but this was the answer under the exact same question i found a while ago
what is the greatest common factor of 15 and 42
Answer:
3
Step-by-step explanation:
The factors of 15 are: 1, 3, 5, 15
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
Then the greatest common factor is 3.
Answer:
3
Step-by-step explanation:
Hi guys I am new here. Let me introduce myself . Jasmin, 15 years old and in 9th class. Hope I will have a good time in here.
Answer:
Hope so too
Step-by-step explanation:
At the bank teller's window, arrivals and service times are randomly distributed (Poisson and exponential distributions, respectively). There is only one teller at the window. If the arrival rate is 8 customers per hour, and the service rate is 15 customers per hour, what is the utilization of the teller, as a percentage? (It is a single channel, single server, single phase, unlimited waiting space model). (calculate answer to two decimal places)
The utilization of the teller is approximately 53.33%.
To calculate the utilization of the teller, we need to compare the arrival rate and the service rate. The utilization represents the fraction of time the server (teller) is busy serving customers.
The arrival rate is given as 8 customers per hour, which means that, on average, 8 customers arrive at the teller's window in one hour. This follows a Poisson distribution.
The service rate is given as 15 customers per hour, indicating that, on average, the teller is able to serve 15 customers in one hour. The service times follow an exponential distribution.
Utilization is calculated as the ratio of the arrival rate to the service rate. In other words:
Utilization = Arrival rate / Service rate
Substituting the given values:
Utilization = 8 / 15 ≈ 0.5333
To express this as a percentage, we multiply the result by 100:
Utilization = 0.5333 * 100 ≈ 53.33%
Therefore, the utilization of the teller in this scenario is approximately 53.33%. This means that, on average, the teller is occupied serving customers about 53.33% of the time, and the remaining time is idle or available for serving new customers.
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Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.74. (a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 23 specimens from the seam was 4.85. (Round your answers to two decimal places.) , (b) Compute a 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places.) , (c) How large a sample size is necessary if the width of the 95% interval is to be 0.39
For (a) the 95% CI for the true average porosity of a certain seam is 4.55 to 5.15, for (b) the 98% CI for the true average porosity of another seam is 4.04 to 5.08.
(a) To compute a 95% confidence interval (CI) for the true average porosity of a certain seam, given an average porosity of 4.85 from 23 specimens and a true standard deviation of 0.74, we can use the formula:
CI = sample mean ± (Z * (true standard deviation / √sample size))
The Z-value for a 95% confidence level corresponds to an area of 0.95 in the standard normal distribution. By looking it up in a Z-table or using statistical software, we find that the Z-value is approximately 1.96.
Plugging in the values into the formula, we have:
CI = 4.85 ± (1.96 * (0.74 / √23))
Calculating the expression:
CI = 4.85 ± (1.96 * (0.74 / 4.795))
CI = 4.85 ± (1.96 * 0.153)
CI = 4.85 ± 0.300
The 95% confidence interval for the true average porosity of the certain seam is:
4.55 to 5.15
(b) To compute a 98% confidence interval for the true average porosity of another seam, given 11 specimens with a sample average porosity of 4.56 and a true standard deviation of 0.74, we follow a similar procedure.
The Z-value for a 98% confidence level is approximately 2.33.
CI = 4.56 ± (2.33 * (0.74 / √11))
CI = 4.56 ± (2.33 * (0.74 / 3.316))
CI = 4.56 ± (2.33 * 0.223)
CI = 4.56 ± 0.519
The 98% confidence interval for the true average porosity of the other seam is:
4.04 to 5.08
(c) To determine the necessary sample size for a 95% confidence interval width of 0.39, we rearrange the formula for the CI:
Width of CI = (Z * (true standard deviation / √sample size))
0.39 = (Z * (0.74 / √sample size))
We know the Z-value for a 95% confidence level is 1.96.
0.39 = (1.96 * (0.74 / √sample size))
Solving for √sample size:
√sample size = (1.96 * 0.74) / 0.39
√sample size ≈ 3.68
Sample size ≈ (3.68)^2
Sample size ≈ 13.54
Therefore, a sample size of at least 14 specimens is necessary to achieve a 95% confidence interval width of 0.39.
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