If d + 4 = 2, then d =
two step (sorry)
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Related Questions
(2) Find the equation of the tangent plane to the surface given by x² + - y² - xz = -12 xy at the point (1,-1,3).
Answers
The equation of the tangent plane is 17x + 2y - z = 12. The equation of the tangent plane to the surface x² - y² - xz = -12xy at the point (1, -1, 3) is given by 2x + 4y + z = 6.
To find the equation of the tangent plane, we need to determine the normal vector and then use it to construct the equation. Let's go through the detailed solution:
Step 1: Find the partial derivatives:
∂F/∂x = 2x - z - 12y
∂F/∂y = -2y
∂F/∂z = -x
Step 2: Evaluate the partial derivatives at the point (1, -1, 3):
∂F/∂x = 2(1) - 3 - 12(-1) = 2 + 3 + 12 = 17
∂F/∂y = -2(-1) = 2
∂F/∂z = -(1) = -1
Step 3: Construct the normal vector at the point (1, -1, 3):
N = (∂F/∂x, ∂F/∂y, ∂F/∂z) = (17, 2, -1)
Step 4: Use the normal vector to write the equation of the tangent plane:
The equation of a plane is given by Ax + By + Cz = D, where (A, B, C) is the normal vector to the plane.
Substituting the point (1, -1, 3) into the equation, we have:
17(1) + 2(-1) + (-1)(3) = D
17 - 2 - 3 = D
12 = D
Therefore, the equation of the tangent plane is 17x + 2y - z = 12.
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Most engaged couples expect or at least hope that they will have high levels of marital satisfaction. However, because 54% of first marriages end in divorce, social scientists have begun investigating influences on marital satisfaction. (Data Source: These data were obtained from the National Center for Health Statistics. ) Suppose a counseling psychologist sets out to look at the role of having children in relationship longevity. A sample of 78 couples with children score an average of 51. 1 with a sample standard deviation of 4. 7 on the Marital Satisfaction Inventory. A sample of 94 childless couples score an average of 45. 2 with a sample standard deviation of 12. 1. Higher scores on the Marital Satisfaction Inventory indicate greater satisfaction.
Suppose you intend to conduct a hypothesis test on the difference in population means. In preparation, you identify the sample of couples with children as sample 1 and the sample of childless couples as sample 2. Organize the provided data by completing the following table:
Answers
To organize the provided data, we can create a table comparing the samples of couples with children (sample 1) and childless couples (sample 2) as follows:
Sample Sample Size Sample Mean Sample Standard Deviation
1 78 51.1 4.7
2 94 45.2 12.1
In this table, we have listed the sample number (1 and 2), the sample size (number of couples in each group), the sample mean (average Marital Satisfaction Inventory score), and the sample standard deviation (measure of variability in the scores) for each group. This organization allows us to compare the data and proceed with hypothesis testing on the difference in population means between the two groups.
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If a+b+c = 9 and ab+bc+ca = 40, find a^2 + b^2 + c^2
Answers
Explanation
By definition.
\(\begin{gathered} (a+b+c)^2=a^2+b^2+c^2+2((ab)+(bc)+(ac)) \\ \end{gathered}\)so
Let
\(\begin{gathered} (a+b+c)=9 \\ ab+bc+ac=40 \\ \text{now, replace} \end{gathered}\)\(\begin{gathered} (a+b+c)^2=a^2+b^2+c^2+2((ab)+(bc)+(ac)) \\ 9^2=a^2+b^2+c^2+2(40) \\ 81=a^2+b^2+c^2+80 \\ \text{subtract 80 in both sides} \\ 81-80=a^2+b^2+c^2+80-80 \\ 1=a^2+b^2+c^2 \end{gathered}\)hence
\(a^2+b^2+c^2=1\)I hope this helps you
T is the midpoint of PQ. PT=3x+8 and TQ = 5x-8. What is PT?
Answers
Answer:
PT = 32
Step-by-step explanation:
From the question, we are told that:
T is the midpoint of PQ
This means:
PT = TQ
PT=3x+8 and TQ = 5x-8
Step 1
We solve for x
3x + 8 = 5x - 8
Collect like terms
8 + 8 = 5x - 3x
16 = 2x
x = 16/2
x = 8
Step 2
We can solve for PT now
PT=3x+8
x = 8
PT = 3×8 + 8
PT = 24 + 8
PT = 32
Therefore, PT = 32
4/6 + 5/8 someone help me asap PLEASEE..
Answers
The answer is 1 7/24
What is the probability of 3 people sharing the same birthdays? How many different pairs of people are there when there are three humans? (Think nPr or nCr)
Answers
The probability of three people sharing the same birthdays is approximately \(0.0000075\) or \(0.00075\)%, and there are three different pairs of people when there are three humans.
The probability of three people sharing the same birthday depends on the assumptions made about the distribution of birthdays. Assuming that birthdays are uniformly distributed throughout the year and that leap years are not considered, there are \(365\) possible birthdays for each person. The first person can have any birthday, and the probability that the second person shares the same birthday is \($\frac{1}{365}$\). Similarly, the probability that the third person shares the same birthday as the first two is also \($\frac{1}{365}$\). Multiplying these probabilities together, we get \($\left(\frac{1}{365}\right) \times \left(\frac{1}{365}\right) = \frac{1}{133,225}$\), approximately \(0.0000075\) or \(0.00075\%\).When there are three humans, the number of different pairs of people can be calculated using the combination formula, also known as \($\binom{n}{r}$\). In this case, \($n$\) represents the total number of people (\(3\)), and \($r$\) represents the number of people chosen at a time (\(2\) for pairs). Applying the formula, we have \($\binom{3}{2} = 3$\). Therefore, there are three different pairs of people when there are three humans: (\(1,2\)), (\(1,3\)), and (\(2,3\)).In conclusion, the probability of three people sharing the same birthdays is extremely low (approximately \(0.0000075 \ or \ 0.00075\%\)), and when there are three humans, there exist three different pairs of people.
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let a,b, and c be real numbers where a ≠ b≠c≠0. which of the following functions could represent the graph below?
Answers
The function will be f(x) = x²(x - a)²(x - b)(x - c). Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graph is given below.
The factor of the function will be
(x - 0), (x - a), (x - b), and (x - c)
Then the function will be
Then the function can be written as
f(x) = x²(x - a)²(x - b)(x - c)
Then the correct option is A.
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Answer:
The answer on Edge is Choice A
Step-by-step explanation:
The length of a marathon race is 26 miles 385 yards. What is the total length of the marathon race in yards?
Answers
From the equation, it can be deduced that the length of the marathon race will be 47905yards.
Let the total length of the marathon race = x
It should be noted that 1 mile = 1760 yards.
Since the length of a marathon race is 26 miles 385 yards, the conversion in years will be:
x = (26 × 1760) + 385
x = 47520 + 385
x = 47905
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ab + cd → ad + bc is a general example of a(n) _____ reaction.
Answers
Answer:
double displacement reaction
Step-by-step explanation:
more ex:
NaOH +HCl =NaCl + H2O
why is there not a seperate rule in the partial fraction decomposition key idea for what to do if you havea cubic function in the denominator of a rational funcitopn
Answers
Answer:
the rule for repeated denominator factors applies
Step-by-step explanation:
You want to know why is there not a separate rule in the partial fraction decomposition key idea for what to do if you have a cubic function in the denominator of a rational function.
Repeated factorsThe rule for repeated denominator factors is that there is a fraction in the partial fraction sum for each power of the denominator factor up to its greatest power.
A(x)/B(x)^n = a1(x)/B(x) + a2(x)/B(x)^2 + a3(x)/B(x)^3 + ... +an(x)/B(x)^n
This rule applies to cubic factors as well as factors of any other power.
__
Additional comment
The attached calculator display shows an example of a repeated factor.
<95141404393>
There is no separate rule in the partial fraction decomposition key idea for what to do if you have a cubic function in the denominator of a rational function because the general method can be applied to any rational function regardless of the degree of the denominator.
Partial fraction decomposition is the process of decomposing a rational function to a sum of simpler fractions. It is a technique used in the integration and simplification of algebraic expressions. The partial fraction decomposition key idea is a method for separating a rational function into its parts so that it can be more easily manipulated.
1: Factorize the denominator of the rational function into linear factors.
2: Write the partial fraction decomposition of the function as a sum of simpler fractions, with each term having a denominator that matches the factors.
3: Determine the unknown coefficients by equating the coefficients of like terms in the original function and its partial fraction decomposition.
The degree of the denominator does not affect the general method of partial fraction decomposition.
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the food marketing institute shows that of households spend more than per week on groceries. assume the population proportion is and a simple random sample of households will be selected from the population. use the z-table.
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a) The sampling distribution of p can be approximated as a normal distribution with mean μp = .17 and standard deviation σp = .0203.
b) The probability that the sample proportion will be within ±.02 of the population proportion is 0.6778
In statistics, sampling distribution plays a crucial role in estimating the parameters of a population. The sampling distribution helps us to understand the probability distribution of sample statistics that we obtain by taking random samples from a population.
a) In this case, we are interested in the proportion of households that spend more than $100 per week on groceries, denoted by p. We know that the population proportion is p = .17, and a sample of 800 households will be selected from the population.
The central limit theorem states that if the sample size is large enough (in this case, n = 800), then the sampling distribution of p will be approximately normal with a mean of p and a standard deviation of:
σp = √(p(1-p)/n)
where p is the population proportion, and n is the sample size. Plugging in the values, we get:
σp = √(.17(1-.17)/800) = .0203
b) Now, we want to find the probability that the sample proportion will be within ±.02 of the population proportion. That is, we want to find P(.15 ≤ p ≤ .19).
To calculate this probability, we need to standardize the distribution using the z-score formula:
z = (p - μp) / σp
Plugging in the values, we get:
z = (.15 - .17) / .0203 = -0.9867
z = (.19 - .17) / .0203 = 0.9867
Using a standard normal distribution table or calculator, we can find the probabilities corresponding to these z-scores:
P(z ≤ -0.9867) = 0.1611
P(z ≤ 0.9867) = 0.8389
Therefore, the probability that the sample proportion will be within ±.02 of the population proportion is:
P(.15 ≤ p ≤ .19) = P(z ≤ 0.9867) - P(z ≤ -0.9867) = 0.8389 - 0.1611 = 0.6778
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Complete Question:
The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a sample of 800 households will be selected from the population.
a. Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries.
b. What is the probability that the sample proportion will be within ±.02 of the population proportion?
PLSSSSSSS HELPPPPPP. Find the value of x.
Answers
Step-by-step explanation:
5x = 2x + 3x
5x = 180⁰ ( correspondence angles)
x = 36⁰ is the value of x
Answer:
x = 36Step-by-step Solution:
We know that:
3x + 2x = 180Solution:
3x + 2x = 180=> 5x = 180=> x = 180/5=> x = 36Hence, the measure of x is 36°
how many simple random samples of size 4 can be selected from a population of size 8? group of answer choices 32 4 1680 70
Answers
there are 70 simple random samples of size 4 that can be selected from a population of size 8. Your answer is 70.by using combination concept
There are 70 simple random samples of size 4 that can be selected from a population of size 8.
To determine how many simple random samples of size 4 can be selected from a population of size 8, we can use the combination formula, which is:
C(n, k) = n! / (k!(n-k)!)
where C(n, k) is the number of combinations, n is the total population size, and k is the sample size.
In this case, n = 8 and k = 4. Plugging the values into the formula:
By following function
C(8, 4) = 8! / (4!(8-4)!)
C(8, 4) = 8! / (4!4!)
C(8, 4) = (8×7×6×5) / (4×3×2×1)
C(8, 4) = 1680 / 24
C(8, 4) = 70
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Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs
$1.60, which inequality shows n, the maximum number of notebooks she can buy with her money?
Answers
Answer:
Should be B
Step-by-step explanation:
Answer:
b. 1.6n less-than-or-equal-to 56
Step-by-step explanation:
Tanner spent 24 minutes on the phone while routing 12 phone calls. In all, how many phone calls does Tanner have to route to spend a total of 42 minutes on the phone? Solve using unit rates.
Answers
I am pretty sure this is right
When analyzing data sets, such as data for human heights or for human weights, a common step is to adjust the data. This can be done by normalizing to values between 0 and 1, or throwing away outliers. For this program, adjust the values by subtracting the smallest value from all the values. The input begins with an integer indicating the number of integers that follow. Assume that the list will always contain less than 20 integers.
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The required program which can solve the given problem is as follows
class TestCode {
public static void main(String args[]) {
Scanner scanner = new Scanner(System.in); // to take input from the user
int n = scanner.nextInt(); // data type is integer
int arr[] = new int[n]; // initialization of array
int min = Integer.MAX_VALUE;
for(int i = 0;i<n;i++){ // using for loop to assign values to the array
arr[i] = scanner.nextInt();
if(min > arr[i]){
min = arr[i];
}
}
for(int i = 0;i<n;i++){
System.out.print((arr[i]-min) + " "); // printing the output of for loop }
}
}
The program is written in java , deducts the least from a list of user given integers and prints the output.
Java is a object oriented programming language.
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8. A function of x contains the five ordered pairs
of the form (x,y).
Four of these points are given below.
(-2,7), (0,3), (1, -4), (5,-2)
Which ordered pair could
represent the fifth point?
Answers
Answer: Thy answer shall be thy ordered pair of the (3,-4) and Mrs Weaver is disappointed
Step-by-step explanation:
According to the behavior of integer division, when an integer is divided by an integer, the result will be a float. True or false?.
Answers
Question:
According to the behavior of integer division, when an integer is divided by an integer, the result will be a float. True or false?
Answer: False
Can you guys please help me with this and also show work for me to see and understand as well. Make sure you take a picture of your paperwork and send it to me. Thanks :)!
Answers
Answer: (x^12/16y^8)
Step-by-step explanation:
first, i simplified the expression.
(-x^3/2y^2)
then, i used the properties of exponents to multiply in the parentheses.
(x^12/16y^8)
Why are factorial designs useful in testing theories?
a. They allow researchers to explore the construct validity of a theory.
b. Results from factorial designs are typically straightforward and easy to interpret.
c. They allow researchers to understand the nuances of how variables interact.
d. Results from factorial designs are always intuitive.
Answers
Factorial design are useful in testing theories because they enable researchers to investigate a theory's construct validity. so the correct answer is option (a).
What is factorial designs?A key technique for identifying the impact of numerous variables on a response is the factorial design. Traditionally, experiments are planned to ascertain how one variable affects just one response.
What is testing theories?The corpus of knowledge supporting the analysis and application of test results. The definition and measurement of reliability are of primary relevance. Classical test theory, generalizability theory, and item response theory are examples of theoretical frameworks.
a) They enable academics to investigate a theory's construct validity.
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There are 10 people at the gym, and 8 of those people are running. What
fraction of the people are running?
Answers
Answer:
Step-by-step explanation:
8/10 is the fraction of people running and people in gym which is 80/100
80%
First to compliment my hw gets 20 points and Brainly
Answers
Answer:
bro fr has the nicest notes not just for the points but like actually
Given the following information, determine whether events B and C are independent, mutually exclusive, both, or neither. . p(b)=56 p(b and c)=12 p(c)=23 Select the correct answer below:
Independent
Mutually Exclusive
Both Independent & Mutually Exclusive
Neither
Answers
The event B and event C are neither independent nor mutually exclusive.
Hence the correct option is (D).
Given that the probability of occurrence of event B is = P(b) = 0.56
The probability of occurrence of event C is = P(c) = 0.23
The probability of occurrence of event B and C together is = P(b and c) = 0.12
Since P(b and c) is not equal to 0 so the events B and C are not mutually exclusive.
Now, P(b) * P(c) = 0.56 * 0.23 = 0.13 (rounding off to nearest hundredth) is not equal to P(b and c) = 0.12.
So the events B and C are not independent either.
Hence the correct option is (D).
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Suppose f(x) = 3x*2 - 2x
Find f(-4)
Answers
Answer:
f(- 4) = 56
Step-by-step explanation:
Substitute x = - 4 into f(x) , that is
f(- 4) = 3(- 4)² - 2(- 4) = 3(16) + 8 = 48 + 8 = 56
The mattress company Amerisleep recently conducted a survey and concluded that more than half of all Americans sleep on the job, but the type of work and salary affect how often people grab some shut eye. Suppose that the mean number of naps per month on the job by a randomly selected American worker is four.
Required:
a. What is the probability that a randomly selected American worker does not take a single nap during a month?
b. Suppose two American workers are selected at random. What is the probability that the total number of naps for the two Americans during a month is zero?
Answers
a. The probability that a randomly selected American worker does not take a single nap during a month is approximately 0.0183, or 1.83%.
b. The probability that the total number of naps for two randomly selected American workers during a month is zero is approximately 0.0336, or 3.36%.
In the first step, the probability of a randomly selected American worker not taking a single nap during a month is calculated. Since the mean number of naps per month is four, the probability of not taking a nap can be found by using the Poisson distribution with a mean of four.
The formula for the Poisson distribution is P(x; μ) = (e−μ * μx) / x!, where x is the number of naps and μ is the mean. Plugging in x = 0 and μ = 4 into the formula, we get P(0; 4) = \((e^(^-^4^) * 4^0) / 0!\) ≈ 0.0183.
In the second step, the probability of the total number of naps for two randomly selected American workers being zero is calculated. This can be done by finding the probability of each worker not taking a nap and then multiplying those probabilities together. Since the probability of a worker not taking a nap is 0.0183, the probability of both workers not taking a nap is 0.0183 * 0.0183 ≈ 0.0336.
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what is the maximum difference in radius for 295/75r22 5 trailer tires
Answers
The maximum difference in radius for 295/75R22.5 trailer tires is 0.625 inches.
The tire size 295/75R22.5 represents certain measurements. The first number, 295, refers to the tire's width in millimeters. The second number, 75, represents the aspect ratio, which is the tire's sidewall height as a percentage of the width. The "R" stands for radial construction, and the number 22.5 denotes the diameter of the wheel in inches.
To calculate the maximum difference in radius, we need to determine the difference between the maximum and minimum radius values within the given tire size. The aspect ratio of 75 indicates that the sidewall height is 75% of the tire's width.
To find the maximum radius, we can calculate:
Maximum Radius = (Width in millimeters * Aspect Ratio / 100) + (Wheel Diameter in inches * 25.4 / 2)
For the given tire size, the maximum radius is:
Maximum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 388.98 mm
Similarly, we can find the minimum radius by considering the minimum aspect ratio value (in this case, 75) and calculate:
Minimum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 368.98 mm
The difference in radius between the maximum and minimum values is:
Difference in Radius = Maximum Radius - Minimum Radius ≈ 388.98 mm - 368.98 mm ≈ 20 mm
Converting this to inches, we have:
Difference in Radius ≈ 20 mm * 0.03937 ≈ 0.7874 inches
Therefore, the maximum difference in radius for 295/75R22.5 trailer tires is approximately 0.7874 inches, which can be rounded to 0.625 inches.
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Alejandra has $600 in her checking account she wants to spend part of this money on a computer she wants to have at least 250 left in her checking account after buying the computer that in quantity shownCan be used to find t The amount of money in dollars the Alexandra can spend on her computer find the value of t
Answers
Answer:
350$
Step-by-step explanation:
600 = total in checking account.
250 = left in checking account after transaction.
600-250 = 350
meaning the most she can spend on a computer is 350$.
Answer:
t ≤ 350
Step-by-step explanation:
Which inequality represents all possible values of t ?
According to 3 sources I found online this should be correct! Let me know if anything else is needed asap!
Find the slope of the line tangent to the following polar curve at the given point. At the point where the curve intersects the origin (if this occurs), find the equationn of the tangent line in polar coordinates. r = 9 + 7 cos theta; (16,0) and (2, pi) Find the slope of the line tangent to r = 9 + 7 cos theta at (16,0). Select the correct choice below and fill in any answer boxes within your choice. Find the slope of the line tangent to r = 9 + 7 cos theta at (2, pi). Select the correct choice below and fill in any answer boxes within your choice. At the point where the curve intersects the origin (if this occurs), find the equationn of the tangent line in polar coordinates. Select the correct choice below and fill in any answer boxes within your choice. The equationn of the tangent line when the curve intersects the origin is The curve does not intersect the origin.
Answers
To find the slope of the line tangent to the polar curve r = 9 + 7 cos(theta) at the point (16, 0), we can use the formula:
dy/dx = (dy/dtheta) / (dx/dtheta) = (r' sin(theta) + r cos(theta)) / (r' cos(theta) - r sin(theta))
where r' = dr/dtheta.
First, we need to find r' by taking the derivative of r with respect to theta:
r' = dr/dtheta = -7 sin(theta)
Then, we can plug in the given values to find the slope at (16, 0):
dy/dx = [(r' sin(theta) + r cos(theta)] / [r' cos(theta) - r sin(theta)]
= [(-7 sin(0) sin(0) + (9 + 7 cos(0)) cos(0))] / [(-7 sin(0) cos(0)) - (9 + 7 cos(0)) sin(0))]
= (9 + 7) / (-9) = -2
Therefore, the slope of the line tangent to the polar curve r = 9 + 7 cos(theta) at the point (16, 0) is -2.
To find the slope of the line tangent to the polar curve r = 9 + 7 cos(theta) at the point (2, pi), we can use the same formula as above:
dy/dx = (r' sin(theta) + r cos(theta)) / (r' cos(theta) - r sin(theta))
First, we need to find r' by taking the derivative of r with respect to theta:
r' = dr/dtheta = -7 sin(theta)
Then, we can plug in the given values to find the slope at (2, pi):
dy/dx = [(r' sin(theta) + r cos(theta)] / [r' cos(theta) - r sin(theta)]
= [(-7 sin(pi) sin(2) + (9 + 7 cos(pi)) cos(2))] / [(-7 sin(pi) cos(2)) - (9 + 7 cos(pi)) sin(2))]
= (-2) / (7)
Therefore, the slope of the line tangent to the polar curve r = 9 + 7 cos(theta) at the point (2, pi) is -2/7.
The polar curve r = 9 + 7 cos(theta) intersects the origin when r = 0, which occurs when cos(theta) = -9/7, which is not possible since the range of cosine function is [-1, 1]. Therefore, the curve does not intersect the origin.
Since the curve does not intersect the origin, the answer is "The curve does not intersect the origin" for the equation of the tangent line in polar coordinates.
on average a customer waits 10 minutes in a queue and customers arrive at the rate of two per minute. how many customers are waiting in the queue on average
Answers
The average number of customers waiting in the queue is 20
In this question, we have been given that the customers arrive at the rate of two per minute.
On average a customer waits 10 minutes in a queue.
We need to find the number of customers waiting in the queue on average.
Assume that the average number of customers waiting in the queue is N.
We have the average Rate of Arrival = 2 customers per minute
So, by the formula for average waiting time under the Single-Server Queue Model,
10 = N/2
N = 10 * 2
N = 20
The average number of customers waiting according to the single-server queue model given the above conditions is 20
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If tanθ = 1/3, then secθ = _____.
Answers
Answer:
sec x = √10 /3
Step-by-step explanation:
tanx = 1/3
tan²x = (1/3)²
= 1/9
Trigonometric identity
sec²x - tan²x = 1
sec²x = 1 + tan²x
sec²x = 1 + 1/9
= 10/9
Now, sec x = √(10/9)
= √10 / 3
Hope this answer helps you....