for an experiment comparing more than two treatment conditions you should use analysis of variance rather than separate t tests because . group of answer choices you are less likely to make a mistake in the computations of anova anova has less risk of a type i error because several means are compared in one test a test based on variances is more sensitive than a test based on means anova has less risk of a type ii error because several means are compared in one test
Answers
The correct answer is: "Anova has less risk of a Type I error because several means are compared in one test."
When comparing more than two treatment conditions, using analysis of variance (ANOVA) is preferred over conducting separate t-tests.
This is because ANOVA allows for the simultaneous comparison of multiple means in a single test, reducing the chances of making Type I errors (false positives).
When conducting multiple t-tests, the probability of incorrectly rejecting the null hypothesis increases with each comparison made. By using ANOVA, the overall risk of making a Type I error is controlled, as the test takes into account the variability within and between groups.
This helps to minimize the likelihood of falsely detecting significant differences between groups.
It's important to note that ANOVA does not inherently have a lower risk of Type II errors (false negatives) compared to t-tests.
The sensitivity of a test, which refers to its ability to correctly detect true effects, depends on various factors such as sample size, effect size, and statistical power, rather than the choice of ANOVA or t-tests.
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Related Questions
-18-7(-10+8)+12
explain please
Answers
Answer:
8.
Step-by-step explanation:
Using Order of operations PEMDAS.
Arithmetic operations are done in the following order:
Parentheses, Exponents, Multiply, Divide, Add, Subtract.
So, we have:
-18 - 7(-10 + 8) + 12
= -18 - 7 * -2 + 12
= -18 + 14 + 12
= -4 + 12
= 8.
george severn, a 48-year-old senior vice president, is responsible for production and sales of protein bars. daily production in cases and daily sales in cases are jointly normally distributed with a correlation of 0.6. daily production in cases has a mean of 110 and a standard deviation of 12. daily sales in cases have a mean of 65 and a standard deviation of 9. the selling price per case is $13. the variable production cost per case is $6. the fixed production costs per day are $150. what is the probability that total revenue is greater than total costs on any day?
Answers
The probability that the total revenue is greater than the total cost on any day is approximately 0.9265
To calculate the probability that the total revenue is greater than the total cost on any day, we need to find the probability distribution of the total revenue and the total cost.
Let X be the daily production in cases and Y be the daily sales in cases. Then, the total revenue R is given by
R = 13Y
And the total cost C is given by
C = 6X + 150
The expected value of X is E(X) = 110 and the standard deviation of X is σ(X) = 12. The expected value of Y is E(Y) = 65 and the standard deviation of Y is σ(Y) = 9. The correlation between X and Y is ρ = 0.6.
The expected value of R is
E(R) = E(13Y) = 13E(Y) = 845
The variance of R is
Var(R) = Var(13Y) = 169Var(Y) = 169(9^2) = 1521
The expected value of C is
E(C) = E(6X + 150) = 6E(X) + 150 = 870
The variance of C is
Var(C) = Var(6X + 150) = 36Var(X) = 36(12^2) = 5184
Now, we need to find the probability that R > C. This can be written as
P(R > C) = P(R - C > 0)
The random variable Z = R - C has a normal distribution with mean μ = E(R) - E(C) = -25 and variance σ^2 = Var(R) + Var(C) = 6705.
So, we need to find
P(Z > 0) = P((Z - μ)/σ > -μ/σ) = P(Z-score > -1.46)
Using a standard normal distribution table or calculator, we find that the probability of Z-score > -1.46 is approximately 0.9265.
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Two point charges of 6.73 x 10-9 C are situated in a Cartesian coordinate system. One charge is at the origin while the other is at (0.85, 0) m. What is the magnitude of the net electric field at the location (0, 0.87) m?
Answers
When calculating the electric field, we use the principle of superposition. Superposition is an idea in physics that says that when two waves pass through each other, the result is the sum of the amplitudes of the two waves. Superposition is also relevant to the addition of forces and fields, and can be used to find the net electric field produced by two charges. Therefore, the net electric field is the sum of the electric fields of the two charges. We can use Coulomb’s law to determine the electric field created by each point charge. Coulomb’s law states that the magnitude of the electric force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
The equation for Coulomb’s law is F=kQ1Q2/r².
where F is the force, Q1 and Q2 are the charges of the two particles, r is the distance between the two particles, and k is Coulomb’s constant.
To find the net electric field at the location (0,0.87) m, we have to use the distance formula to find the distance between the point charge and the location.
The distance between the point charge at the origin (0,0) and the point (0,0.87) m is d = 0.87 m
The distance between the point charge at (0.85,0) and the point (0,0.87) m is d = sqrt[(0.85 m)² + (0.87 m)²] = 1.204 m
Now, we can find the electric field due to each charge and add them up to get the net electric field.
Electric field due to the point charge at the origin:
kQ/r² = (9 x 10⁹ N·m²/C²)(6.73 x 10⁻⁹ C)/(0.87 m)² = 5.99 x 10⁴ N/C
Electric field due to the point charge at (0.85,0) m:
kQ/r² = (9 x 10⁹ N·m²/C²)(6.73 x 10⁻⁹ C)/(1.204 m)² = 3.52 x 10⁴ N/C
The net electric field is the vector sum of the electric fields due to each charge.
E = E1 + E2
E = (5.99 x 10⁴ N/C)i + (3.52 x 10⁴ N/C)j
E = (5.99 x 10⁴ N/C)i + (3.52 x 10⁴ N/C)k
E = sqrt[(5.99 x 10⁴ N/C)² + (3.52 x 10⁴ N/C)²]
E = 7.02 x 10⁴ N/C
Therefore, the magnitude of the net electric field at the location (0,0.87) m is 7.02 x 10⁴ N/C.
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please help!!!!!!!!!!!!!!!!!!!
Answers
Based on the data, the item that has the lowest price per pound is: B. peanuts, $1.60 per pound.
How to calculate the rate of change (slope) of a table?In Mathematics and Geometry, the rate of change (slope) of any straight line can be determined by using this mathematical equation;
Rate of change (slope) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Rate of change (slope) = rise/run
Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the rate of change (slope) of a line, we have the following;
Rate of change (slope) of almonds = (y₂ - y₁)/(x₂ - x₁)
Rate of change (slope) of almonds = (32.40 - 13.50)/(12 - 5)
Rate of change (slope) of almonds = 18.9/7
Rate of change (slope) of almonds = $2.7
For peanut, we have:
Rate of change (slope) of peanuts = 3.20/2
Rate of change (slope) of peanuts = $1.60.
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What is the index in the expression
2
2?
Answers
Answer:
2
Step-by-step explanation:
Step-by-step explanation
Identify the slope and y-intercept of each linear function's equation.
Answers
Answer:
1) Slope = -1, y-intercept = 3
2) Slope = 1, y-intercept = -3
3) Slope = -3, y-intercept = 1
4) Slope = 3, y-intercept = -1
Step-by-step explanation:
In order to identify slope and y-intercept, you must find where each variable hits each axis when the other is 0.
For example, to find the y intercept of y=2x-4, you would substitute 0 in for x and solve for y.
y = 2(0)-4 --> y = -4
Thus, the point is (0, -4) with slope of 2. (The slope can be found by identifying the number, m, in front of 'x' from the equation y = mx + b.
Answer:
A. y = 3x-1; slope is 3 and y-intercept is -1
B. -x+3 = y; slope is -1 and y-intercept is 3
C. x-3 = y; slope is 1 and y-intercept is -3
D. y = 1-3x; slope is -3 and y-intercept is 1
Step-by-step explanation: woof
find the common difference of the arithmetic sequence 15,22,29, …
Answers
Answer:
7
Step-by-step explanation:
You want the common difference of the arithmetic sequence that starts ...
15, 22, 29, ...
Difference
The common difference is the difference between a term and the one before. It is "common" because the difference is the same for all successive term pairs.
22 -15 = 7
29 -22 = 7
The common difference is 7.
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A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in a suburban school district with that of high schoolers in a school district of a large city. The researcher obtained an SRS of 60 high school students in a large suburban school district and found the mean time spent in extracurricular activities per week to be x1 = 6 hours, with a standard deviation s1 = 3 hours. The researcher also obtained an independent SRS of 40 high school students in a large city school district and found the mean time spent in extracurricular activities per week to be x2 = 4 hours, with a standard deviation s2 = 2 hours. Let u1 and u2 represent the mean amount of time spent in extracurricular activities per week by the populations of all high school students in the suburban and city school districts, respectively. Assume the two-sample t-procedures are safe to use.
With a level of 5%, test the hypothesis that the amount of time spent on extracurricular activities is no different in the two groups.
For the problem above, a 95% confidence interval for u1-u2 is (use the conservative value for the degrees of freedom)
a. 2 +- 0.5 hours.
b. 2 +- 0.84 hours.
c. 2 +- 1.01 hours.
d. 2 +- 1.34 hours
Answers
How do confidence intervals tell you whether your results are statistically significant?.
Answers
It can be inferred that there is a statistically significant result if the confidence interval excludes the value of zero effect.
Confidence Interval;
In statistics, confidence is another word for probability. For instance, if you create a confidence interval with a 95% confidence level, you can be sure that 95 times out of 100 the estimate will fall between the upper and lower values indicated by the confidence interval.
Therefore,
The confidence level is 95% if your significance level is 0.05. The hypothesis test is statistically significant if the P value is lower than your significance (alpha) level. The findings are statistically significant if the confidence interval excludes the null hypothesis value. 0
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i’d appreciate the help. thank you:)
Answers
The anwser is a ratio
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The 6 in front of the ln u can also be written as an exponent of u
so 6 ln u can be written as ln u^6
If one penny, two dimes, and one quarter are added to the bag, what is the new probability that Marissa will draw a nickel? Write your answer as a fraction, as a decimal, and as a percent.
Answers
Answer:
As a fraction it's ¼, as a decimal it's 0.25 and as a percentage it's 25%
A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-6, 3) What is the vertex of the function defined as g(x)=f(x-2)-5
Answers
Answer:
The vertex of g(x) is (-4, -2)------------------------------
g(x) is the translation of f(x) two units right and five units down.
The vertex of g(x) follows the same translation rule:
x = - 6 + 2 = - 4,y = 3 - 5 = - 2.The vertex of g(x) is (-4, -2).
Record: 0/5 Score: 0 Penalty: 1 off
Complete: 0%
Jereme Nixon
Using Trig to Find Angles
Mar 01, 12:19:51 PM
?.
In AQRS, the measure of ZS=90°, QR = 7.7 feet, and SQ = 6.5 feet. Find the measure
of ZR to the nearest tenth of a degree.
R
7.7
Answers
Answer:
Step-by-step explanation:
57.6
Find the shaded area. Round your answer to the nearest tenth, if necessary.
Area of of the Triangle =
Area of the whole Rectangle =
Total Shaded Area =
Answers
Answer: For the triangle area you do= base*height what gives you 198in
For the rectangle area you do= side*lenght what gives you 756in
An for the shaded area you do triangle area-rectangle area, what gives you 558 in
Puzzle One
Determine the correct vocabulary word(s) in the questions below. To break the code of puzzle
one you will need to determine the third letter of the word in EACH space and then put those
letters in alphabetical order to break the code. For example, if the first blank was MODE the
letter you would use to help you break out would be D.
*Hint: Use the word bank to help you, some words may be used more than once and some may
not be used at all.
1) The
tells you how the data is spread out
of the data.
for
2) The might be a better representation of the data if there are
outliers that skew the data.
3) To find the
of
you add the numbers and
by the quantity
distance between
4) The Mean Absolute Deviation (MAD) is the
each
point and the
MODE
MEDIAN
MEAN
RANGE
NUMBERS
QUARTILE
Word Bank:
MULTIPLY
AVERAGE
DIVIDE
SUBTRACT
INNER
DATA
FIFTY
TWENTY
PERCENT
Code:
Math in the Mid 2019
MI
Answers
Answer:
Ошйжй Щ отдйдй шубу Ц дцдць о о
Step-by-step explanation:
Please help me if u give me an answer could u also give me an explanation on why that’s the answer.
Answers
in all the other ones we can see that the angles in the same position as x and 75 are all equal
and because the question tells us that they are all structured the same with p and f being parallel we can assume x is equal to what’s congruent to it
there is a rule that states this
cap congruent angle postulate i believe
which states that if two parallel lines are cut by a transversal, then corresponding angles are congruent
Question 1-
A scatter plot is shown on the coordinate plane.
Which two points would a line of fit go through to best fit the data?
A. (1,9) and (9,5)
B. (1,9) and (5,7)
C. (2,7) and (4,3)
D. (2,7) and (6,5)
Question 2-
Laila participated in a dance-a-thon charity event to raise money for the Animals are Loved Shelter. The graph shows the relationship between the number of hours Laila danced, x, and the money she raised, y.
Determine the slope and explain its meaning in terms of the real-world scenario.
A. The slope is 1/4, which means that the amount of the student raised increases by $0.75 each hour.
B. The slope is 4, which means that the amount the student raised increases by $4 each hour.
C. The slope is 12, which means that the student will finish raising money after 12 hours.
D. The slope is 20, which means that the student started with $20.
Answers
Question 1-
To determine which two points would a line of fit go through to best fit the data on the scatter plot, we need to visually analyze the pattern of the data points and choose two points that the line would pass through to represent the overall trend.
Without the actual scatter plot provided, I am unable to directly analyze it. However, based on the given answer choices:
A. (1,9) and (9,5)
B. (1,9) and (5,7)
C. (2,7) and (4,3)
D. (2,7) and (6,5)
Since I don't have the scatter plot, I cannot accurately determine which points would best fit the data. I would recommend carefully reviewing the scatter plot and selecting the two points that seem to represent the general trend or pattern of the data. The two points that form a line that closely follows the general direction of the data points would be the best choices.
Question 2-
To determine the slope of the relationship between the number of hours Laila danced, x, and the money she raised, y, we need to examine the graph and calculate the slope using the formula:
Slope = (change in y) / (change in x)
However, since the graph is not provided, it is not possible to directly calculate the slope. However, we can still evaluate the given answer choices based on their explanations:
A. The slope is 1/4, which means that the amount the student raised increases by $0.75 each hour.
B. The slope is 4, which means that the amount the student raised increases by $4 each hour.
C. The slope is 12, which means that the student will finish raising money after 12 hours.
D. The slope is 20, which means that the student started with $20.
From the explanations provided, it seems that option B would be the most reasonable choice. A slope of 4 would indicate that for each additional hour Laila danced, she raised $4. However, without the actual graph, it is challenging to confirm the accuracy of the answer choice or its real-world interpretation.
Trigonometry Question:
Find the length of side AB
Give your answer to 1 decimal place
Answers
Answer:
5.6 cm
Step-by-step explanation:
use the cosine ratio to get the answer since AB is the adjacent side and the hypotenuse has already been given
How can I complete the square of this equation Y=2x(x+5)
Answers
Answer: \(y=2 \left(x+\frac{5}{2} \right)^2 -\frac{25}{2}\)
Step-by-step explanation:
\(y=2x^2 +10x\\\\y=2(x^2 + 5x)\\\\y=2 \left(x^2 +5x +\frac{25}{4} \right)-\frac{25}{2}\\\\y=2 \left(x+\frac{5}{2} \right)^2 -\frac{25}{2}\)
Sophia, Lexi, and Jason picked some bananas. Sophia picked 18 bananas. Lexy picked 6 more bananas than Sophia. Jason picked 5 times as many as Lexi. How many bananas did Sophia, Lexi, and Jason collect altogether?
Answers
the answer is that Sophia, Lexi, and Jason collected a total of 162 bananas.
In this problem, we are given that Sophia picked 18 bananas. We are also told that Lexi picked 6 more bananas than Sophia, so Lexi picked 18+6=24 bananas. Additionally, we are told that Jason picked 5 times as many bananas as Lexi, so we need to multiply Jason picked 5*24=120 bananas.
To find the total number of bananas picked by all three people, we need to add up the number of bananas picked by Sophia, Lexi, and Jason. So, we add 18 + 24 + 120 = 162 bananas.
Therefore, the answer is that Sophia, Lexi, and Jason collected a total of 162 bananas.
It's important to understand the relationships between the numbers given in the problem in order to solve it. Sophia is the starting point, with 18 bananas, and Lexi is picking 6 more bananas than her. Jason's number is more complex, being 5 times Lexi's amount. By breaking down each piece of information and understanding how they relate to each other, we can easily find the total number of bananas collected by all three.
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How do I go about solving this? (Teacher got sick mid-lesson & still wanted us to finish the worksheet but he never went over how to solve this kind of equation) Any kind of help is greatly appreciated.
\(g(a) = 4a-2\\h(a) = 3a\\Find: g(h(8))\)
Answers
The composite function g(h(8)) when evaluated is 94.
Evaluating the composite functionsFrom the question, we have the following parameters that can be used in our computation:
g(a) = 4a - 2
h(a) = 3a
To find g(h(8)), we need to first evaluate h(8), and then plug that result into g(a) and simplify.
h(a) is defined as 3a, so h(8) = 3(8) = 24.
Now we can plug in 24 for a in g(a) and simplify:
g(a) = 4a - 2
g(h(8)) = g(24) = 4(24) - 2 = 94
Therefore, g(h(8)) = 94.
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what is the domain for the exponential function f (x) = –5log(x – 2)?
Answers
So, the domain of the function f(x) = -5log(x - 2) is all real numbers greater than 2, expressed in interval notation as (2, +∞).
To determine the domain of the exponential function f(x) = -5log(x - 2), we need to consider the restrictions or limitations on the values that x can take.
The domain of a logarithmic function is defined by the condition that the argument of the logarithm (x - 2 in this case) must be greater than zero, since the logarithm is undefined for non-positive values.
Therefore, for the given function, we need to find the values of x that satisfy the inequality x - 2 > 0.
Solving this inequality, we have:
x - 2 > 0
x > 2
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Using the graph posted, find the distance of the line while showing all work. And if you’re using the Pythagorean theorem, please show all steps.
Answers
The length of the line segment with is 9.9 units
How to find length of line ABThe length of line in an ordered pair is calculated using the formula
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
where
d = distance between the points
x₂ and x₁ = points in x coordinates
y₂ and y₁ = points in y coordinates
distance between points B = (3, 5) and A (-4, -2) is calculated as follows
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
where
x₂ = -4
x₁ = 3
y₂ = -2
y₁ = 5
substituting the values to formula
d =√{(-4 - 3)² + (-2 -5)²}
d =√{(-7)² + (-7)²}
d =√{49 + 49}
d = √98
d = 7√2
d = 9.9 units
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scores on a certain test are normally distributed with a variance of 22. a researcher wishes to estimate the mean score achieved by all adults on the test. find the sample size needed to assure with 95 percent confidence that the sample mean will not differ from the population mean by more than 2 units.
Answers
The sample size must be 30 for the sample mean to vary from the population mean by no more than 2 units.
Variance = 22
σ² = 22
σ = √22
Make a 95% confidence interval with a sample mean that departs from the population mean with no more than 2 units.
The error margin is determined as follows:
Z critical × (σ ÷ √n)
Substitute the values,
Z critical at \(\alpha_{0.05}\) = 2.33
2 = 2.33 × (√22 ÷ √n)
√n = (2.33 × √22) ÷ 2
√n = 5.464
n = 5.464²
n = 29.85 ≈ 30
Therefore, The sample size must be 30 in order for the sample mean to deviate from the population mean by no more than two units.
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Does someone mind helping me with this problem? Thank you!
Answers
Answer: (3.2, 3.6)
Step-by-step explanation: To find the ordered pair of solutions for the system of equations, we need to solve for x and y.
From the first equation, we get:
x = 2y - 4
Substituting this expression for x into the second equation, we get:
2(2y - 4) + y = 10
Simplifying, we get:
5y - 8 = 10
Adding 8 to both sides, we get:
5y = 18
Dividing both sides by 5, we get:
y = 3.6
Substituting this value of y into the expression we found for x earlier, we get:
x = 2(3.6) - 4 = 3.2
Therefore, the ordered pair of solutions for the system of equations is (3.2, 3.6).
1. Here are two expressions whose product is a new expression, A.
(5x++x³)(4x − 6) = A
Andre says that any real number can go in either of the boxes and A will be a
polynomial. Is he correct? Explain your reasoning
Answers
Yes, Andre is correct. That is any real number can go in either of the boxes will be a real number.
Polynomial expression:
Any expression which consists of variables, constants, and exponents, and is combined using mathematical operators like addition, subtraction, multiplication, and division in a polynomial expression.
The given polynomial expression is
(5 \(x^{4}\) + _x³ )( 4\(x^{ -}\) - 6) = A
Here in the blank space we can write any real number which will give a polynomial expression.
So, Andre is correct.
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What is the total surface area of the gift box in in2?
Answers
The total surface area of the gift box in discuss as required to be determined in the task content is; 416 in².
Surface area of a cuboidAs evident in the task content; the gift box in discuss can be likened to a cuboid with dimensions; 12 by 10 by 4.
Hence, since the total surface area of a cuboid is given by;
Area = 2 (lw + lh + wh)
Therefore, for the given gift box;
Area = 2 ( (12×10) + (12 × 4) + (10 × 4) )
= 2 ( 120 + 48 + 40 )
= 2 (208)
= 416.
Ultimately, the total surface area of the gift box in discuss is; 416 in².
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Find the complement of the set given that u = {0, 1, 2, 3, 4, 5, 6, 7, 8}. (enter your answers as a comma-separated list.) the set of odd natural numbers less than 8
Answers
{ 0,2,4,6,8} is the complement of the set.
What is natural number in math?
Normative Numbers The numbers we use to count or place things in order are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11. Complete numbers the range of numbers that includes zero and natural numbers.Is zero a natural number?
0 is not a natural number, so no. As we all know, natural numbers are positive integers with a range of 1 to infinity. However, we get a number when we combine 0 with a positive integer like 10, 20, or another number.u = {0, 1, 2, 3, 4, 5, 6, 7, 8}
Odd number less than 8 = { 1,3,5,7 }
complement = {0, 1, 2, 3, 4, 5, 6, 7, 8} - { 1,3,5,7 }
= { 0,2,4,6,8}
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The LIGO experiment, which historically detected gravita- tional waves for the first time in September 2015, uses a pair of highly sensitive Michelson interferometers. These have arms that are 4.00 km long and use powerful Nd:Yag lasers with 1064 nm wavelength. The beams traverse the arms both ways 280 times before recombining, which effectively lengthens the arm length to 1120 km. The devices are tuned so that the beams destructively interfere when they recom- bine if no gravitational wave is present. (a) The beam has a power of 100 kW, concentrated into an area of a square centimeter. Calculate the amplitude of the electric field in the beam. (b) LIGO can detect a gravitational wave that temporarily lengthens one arm by the minus- cule amount of 10-18 m! When this happens, the beams combine with a phase difference of p d. Estimate the shift d in radians. Note that the phase difference accumulates during both traversals of each round trip. (c) Use Eq. (35.7) to estimate the sensitivity of the photodetector in terms of the minimal electric field strength needed to detect a gravi- tational wave.
Answers
To calculate the amplitude of the electric field in the LIGO beam, we divide the power of 100 kW by the area of a square centimeter.
(a) The amplitude of the electric field in the LIGO beam can be calculated using the formula:
Amplitude of electric field = √(Power / Area)
Converting the power of 100 kW to 100,000 W and the area of a square centimeter to square meters:
Amplitude of electric field = √(100,000 / 0.0001) = √(10^9) = 10^4 V/m
Therefore, the amplitude of the electric field in the LIGO beam is 10,000 V/m.
(b) The phase shift caused by a gravitational wave temporarily lengthening one arm by 10^-18 m can be estimated using the formula:
Phase shift = (2π * d) / λ
Where d is the change in arm length and λ is the wavelength of the laser. In this case, the effective arm length is 1120 km, which is equivalent to 1.12 x 10^6 m, and the laser wavelength is 1064 nm, or\(1.064 x 10^-6 m.\)
Phase shift =\((2π * 10^-18) / (1.064 x 10^-6) = 2π * 10^-12 radians\)
Therefore, the estimated phase shift caused by the gravitational wave is approximately\(6.28 x 10^-12\) radians.
(c) Using Eq. (35.7), the sensitivity of the photodetector can be estimated by relating the minimal electric field strength required to detect a gravitational wave to the phase shift:
Minimal electric field strength = (λ * Amplitude of electric field) / (4π * d)
Substituting the values obtained:
Minimal electric field strength = \((1.064 x 10^-6 * 10^4) / (4π * 10^-12)\)
Simplifying the equation:
Minimal electric field strength = 8.49 x \(10^7\) V/m
Therefore, the estimated sensitivity of the photodetector is approximately 8.49 x \(10^7\) V/m, indicating the minimal electric field strength needed to detect a gravitational wave.
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What is the total cost of buying 2 pounds of nails, 4 pounds of washers, and 3 pounds of bolts?. The price of nails is $1.30/lb, the price of washers is $0.80/lb, and the price of bolts is $2.50/lb.
Answers
Answer: $13.30
Step-by-step explanation:
price of nails = $1.30/lb
price of washers = $0.80/lb
price of bolts = $2.50/lb
The total cost of buying 2 pounds of nails, 4 pounds of washers, and 3 pounds of bolts will be:
= (2 × $1.30) + (4 × $0.80) + (3 × $2.50)
= $2.60 + $3.20 + $7.50
= $13.30
The total cost is $13.30