Which is true of the distribution of F ratios? a) It is dependent on a family of sampling distributions. b) It is usually positively skewed. c) It relies on 2 degrees of freedom. d) It is dependent on 1 degree of freedom.
Expert Answer
Answers
The true statement regarding the distribution of F-ratios is that it is dependent on a family of sampling distributions. option a
What is an F-Ratio?
An F-ratio is a statistical test that compares two variances or standard deviations to see if they are significantly different from one another. The F-distribution is the ratio of two chi-squared distributions, divided by their respective degrees of freedom, with each chi-squared distribution divided by its degree of freedom.
When the null hypothesis is true, the F-ratio follows the F-distribution. The F-distribution is determined by two degrees of freedom, the numerator and the denominator.
The numerator degree of freedom is k-1, where k is the number of groups being compared. The denominator degree of freedom is N-k, where N is the total number of observations in all groups being compared.
The F-distribution is typically right-skewed, which means that the majority of the scores are located on the left-hand side of the distribution, while the tail extends to the right-hand side.
A distribution is said to be right-skewed when its tail extends to the right side of the median value, while a left-skewed distribution has its tail on the left side of the median. In summary, the correct statement about the distribution of F-ratios is that it is dependent on a family of sampling distributions.
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Related Questions
Question 1: Describe the domain and range of the following function. You can describe the domain and range using a short sentence or use domain and range notation
Answers
Answer:
Domain: -3 ≤ x
Range: -2 ≤ y
Step-by-step explanation:
Hi there!
The domain is the set of all possible x-values in a function. Here, notice how the graph begins when x=-3 and travels to the right infinitely. Therefore, the domain is -3 ≤ x.
The range is the set of all possible y-values in a function. Here, notice how the graph begins when y=-2 and travels infinitely up. Therefore, the range is -2 ≤ y.
I hope this helps!
an inequity that can be written in the form ax by < c (where a and b are not both zero) is called a ____?____ inequality in two variables.
Answers
An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.
An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.
In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.
The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.
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A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the company $0.50, while each cylindrical container costs $0.75.
Which packaging should the company use to minimize cost? Explain.
The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.
The cylindrical containers should be used because they will cost the company $2.50 less than using the rectangular boxes.
The rectangular prism boxes should be used because they will cost the company $5.00 less than using the cylindrical containers.
The cylindrical containers should be used because they will cost the company $5.00 less than using the rectangular boxes.
Answers
The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers. (option A).
Which box should be used?The first step is to determine the number of each type of box shape that would be needed for the pencils.
Number of rectangular prism boxes that would be needed = total number of pencils / capacity of the box
Number of rectangular prism boxes that would be needed = 2400 / 60 = 40 boxes
Number of cylindrical boxes that would be needed = total number of pencils / capacity of the box
Number of cylindrical boxes that would be needed = 2400 / 80 = 30
Now determine the total cost of using each type of box shape.
Total cost of using the cylindrical boxes = 30 x 0.75 = $22.50
Total cost of using the rectangular prism boxes = 40 x 0.50 = $20
Difference in cost = $22.50 - $20 = $2.50
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Answer:
^^ A on edge
Step-by-step explanation:
suppose that two shuttle buses operate (without coordination) between the campus and downtown. one bus can carry 20 people and has a round trip time of 8 min (including loading and unloading passengers), the other can carry 25 people but has a round trip time of 10 min. there is always a queue of people waiting at the downtown bus stop, but passengers come to the campus bus stop at a steady rate of 2/min. if neither bus is idle at any time, determine:
Answers
The complete answers regarding flow of people and occupancy are solved as follows:
(a) The flow of people from downtown to campus is the rate at which the shuttle buses can transport passengers from the downtown bus stop to the campus bus stop.
(b) The flow of people from campus to downtown is equal to the rate at which passengers are coming to the campus bus stop.
(c) The average bus occupancy from campus to downtown is equal to the number of passengers on each bus divided by the number of seats on each bus.
Dispatching the buses from downtown to campus at equal headways would reduce the average waiting time of passengers going from campus to downtown. This is because the slower bus would have more time to pick up and drop off passengers, and the faster bus would not be slowed down by having to wait for the slower bus. The overall result would be a reduction in the average waiting time for all passengers.
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Complete Question:
Suppose that two shuttle buses operate (without coordination) between the campus and downtown. One bus can carry 20 people and has a round trip time of 8 min (including loading and unloading passengers), the other can carry 25 people but has a round trip time of 10 min. There is always a queue of people waiting at the downtown bus stop, but passengers come to the campus bus stop at a steady rate of 2/min. If neither bus is idle at any time, determine:
(a) The flow of people from downtown to campus.
(b) The flow of people from campus to downtown.
(c) The average bus occupancy from campus to downtown.
If one insisted on dispatching these buses from downtown to campus at equal headways, we would only slow down the faster bus. Would you expect this strategy to reduce the average waiting time of passengers going from campus to downtown?
graph the line that contains the point (-2,7) and has slope of 4
Answers
Avan, Balin, and Charu are standing in a line. Avan and Balin are 10 feet apart, Charu and Balin are standing 12 feet apart, and Charu and Avan are 2 feet apart. Who is in the middle?
Answers
Avan and Charu are both positioned 10 feet to the left and 12 feet to the right of Balin, who is in the center.
Let's assume that the people are standing in the order Avan, Balin, and Charu. Then we know that:
Avan and Balin are 10 feet apart, so the distance between Avan and Charu is 10 + 12 = 22 feet.
Charu and Avan are 2 feet apart, so the distance between Balin and Avan is 12 - 2 = 10 feet.
Therefore, Balin is in the middle, with Avan standing 10 feet to his left and Charu standing 12 feet to his right.
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april, bill , candace, and bobby are to be seated at random in a row of 7 chairs. what is the probability that april and bobby will occupy the seats at the end of the row?
Answers
The required probability of occupying seats at the end of the row by April and Bobby is equals to 0.0333.
We have,
Number of chairs in a row = 5
April and Bobby need to occupy the two end chairs.
The other two people, Bill and Candace, can sit in any of the 3 remaining chairs.
The total number of ways to seat the 4 people in the 5 chairs is
= 5!/(5-4)!
= 5x4x3x2
= 120.
April can sit in either of the two end chairs, and then Bobby can sit in the other end chair.
Bill and Candace can then sit in either of the two remaining chairs, in either order.
The number of ways to seat April and Bobby at the ends of the row is,
= 2x1x2x1
= 4.
Probability that April and Bobby will occupy the seats at the end of the row is,
4/120
= 1/30
= 0.0333
Therefore, the probability of April and Bobby occupy seats at the end of the row is 1/30 or approximately 0.0333.
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Kayla wants to create a right triangle with side lengths 16 millimeters, 30 millimeters, and 34 millimeters. Is this possible? Why or why not?
A- no, because 16+30 is not equal to 34
B- no, because 16 squared + 30 squared is not equal to 34 squared
C- yes, because 16 squared +30 squared is equal to 34 squared
D- yes, because 16+30 is greater than 34
Answers
Answer:
C
Step-by-step explanation:
16² = 256
30² = 900
256 + 900 = 1156
34² = 1156
Answer: C
Answer:
B: No, because 16 squared plus 30 squared is not equal to 34 squared
Step-by-step explanation:
So if she wants to make a right triangle that would look like this
| \
| \
30mm | \ 34mm
| \
|_______\
16mm
Which would make the Pythagorean theorem look like this
16^2 + 30^2 = 34^2
265 + 900 = 1156
1165 = 1156
So you answer would be B
solve by substitution
Answers
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−95,−615)(-95,-615)
Equation Form:
x=−95,y=−615x=-95,y=-615
Algebra 2 Which expression is equivalent?
Answers
Answer:
B 6\(\sqrt{y}\)
Step-by-step explanation:
6y 1/2
Answer:
\(6\sqrt{2y}\)
Step-by-step explanation:
\(\frac{12y}{\sqrt{2y} }\\\\\frac{12y}{\sqrt{2y} }\cdot\frac{\sqrt{2y} }{\sqrt{2y} }\\\\\frac{12y(\sqrt{2y}) }{2y}\\\\6\sqrt{2y}\)
5. A random signal X can be observed only in the presence of independent additive noise N. The observed quantity is Y=X+N. The joint probability density function of X and Y is f(x,y)=Kexp[−(x 2
+y 2
+4xy)] all x and y a. Find a general expression for the best estimate of X as a function of the observation Y=y b. If the observed value of Y is y=5, find the best estimate of X.
Answers
a. A general expression for the best estimate of X as a function of the observation Y=y: f(y) = K * ∫[exp(-(x^2 + y^2 + 4xy))]dx
b. If the observed value of Y is y=5: f(x|5) = [K * exp(-(x^2 + 25 + 20x))] / [∫[exp(-(x^2 + 25 + 20x))]dx]
To find the best estimate of X given the observation Y=y, we need to maximize the conditional probability density function (pdf) of X given Y=y. This is equivalent to finding the value of X that maximizes the joint pdf f(x,y).
a. To find the general expression for the best estimate of X as a function of Y=y, we need to determine the conditional pdf of X given Y=y, denoted as f(x|y). We can use Bayes' theorem to calculate this:
f(x|y) = f(x,y) / f(y)
Given the joint pdf f(x,y) = K * exp(-(x^2 + y^2 + 4xy)), we need to determine f(y) to compute f(x|y).
To find f(y), we integrate the joint pdf over the range of X:
f(y) = ∫[f(x,y)]dx, where the integration is performed over the range of X.
Integrating the joint pdf with respect to X gives us:
f(y) = K * ∫[exp(-(x^2 + y^2 + 4xy))]dx
b. Once we have the expression for f(x|y), we can find the best estimate of X when Y=y. Since the question specifies Y=y=5, we can substitute y=5 into the conditional pdf to find the best estimate of X:
f(x|y=5) = f(x|5)
To compute f(x|5), we divide f(x,5) by f(5). The calculation involves substituting the values x and y=5 into the joint pdf:
f(x|5) = [K * exp(-(x^2 + 25 + 20x))] / [∫[exp(-(x^2 + 25 + 20x))]dx]
At this point, we would need to perform the integration and further calculations to find the best estimate of X when Y=5. However, the provided joint pdf and values do not specify the range of X and Y, making it difficult to provide precise numerical calculations.
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The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
s = StartFraction 3 Over 10 EndFraction m
s = StartFraction 10 Over 3 EndFraction m
m = StartFraction 3 Over 10 EndFraction s
m = StartFraction 1 Over 30 EndFraction s
Answers
Answer:
it is b
Step-by-step explanation:
Answer:
it is b
Step-by-step explanation:
a stadium has 2456 there are five sections of seats with the same number of seats in each section how many seats are in each section.
Answers
There are red and blue marbles in a bowl. There are twice as many blue 20
marbles as red marbles. What expression represents the number of blue
marbles? A) 2b, where b represents the number of blue marbles. B) 2r,
wherer is the number of red marbles C) r+2, wherer is the number of red
marbles D) b2, where b is the number of blue marbles *
Answers
I'm pretty sure its 2r, because you are multiplying the number of red marbles by 2 to get how many blue marbles there are.
Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
Answers
Answer:
\(6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}\)
Step-by-step explanation:
The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.
Vertices A, B, and C form a right triangle with legs \(AB=3\), \(BC=4\), and \(AC=5\). The two legs, 3 and 4, represent the triangle's height and base, respectively.
The area of a triangle with base \(b\) and height \(h\) is given by \(A=\frac{1}{2}bh\). Therefore, the area of this right triangle is:
\(A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}\)
The other triangle is a bit trickier. Triangle \(\triangle ADC\) is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:
\(A=\sqrt{s(s-a)(s-b)(s-c)}\), where \(a\), \(b\), and \(c\) are three sides of the triangle and \(s\) is the semi-perimeter (\(s=\frac{a+b+c}{2}\)).
The semi-perimeter, \(s\), is:
\(s=\frac{5+5+4}{2}=\frac{14}{2}=7\)
Therefore, the area of the isosceles triangle is:
\(A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}\)
Thus, the area of the quadrilateral is:
\(6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}\)
what is the circumference of a circle with a diameter of 150 mm
Answers
circumference of a circle = 471 mm
Explanation:
circumference of a circle = 2πr
r = radius
let π = 3.14
diameter = 150mm
diameter = radius/2 = 150mm/2
diameter = 75mm
circumference of a circle = 2 × 3.14 × 75
circumference of a circle = 471 mm
A study of a population of 1500 rabbits revealed that 8 out every 75 rabbits in the population were females. Based on the results of this study, how many rabbits in the population are males?
Answers
As per the proportion, the number of males rabbits in the population is 1000.
Let's first find the proportion of female rabbits in the population using the given information. We are told that 8 out of every 75 rabbits in the population are females. Therefore, we can write:
Proportion of females = 8/75
We can simplify this fraction by dividing both the numerator and the denominator by the greatest common factor, which is 1:
Proportion of females = 8/75 = 0.1067
This means that for every unit of 75 rabbits in the population, there are 8 female rabbits.
Then, the total number of rabbits in the population is:
Total number of rabbits = r x 75
Since we know that the proportion of females is 0.1067, we can find the number of female rabbits in the population as follows:
Number of female rabbits = Proportion of females x Total number of rabbits
= 0.1067 x (r) x 75
We also know that the total number of rabbits in the population is 1500. Therefore, we can set up an equation as follows:
Number of male rabbits + Number of female rabbits = Total number of rabbits
Number of male rabbits + 0.1067 x (r) x 75 = 1500
Now, we can solve for the number of male rabbits by rearranging the equation:
Number of male rabbits = 1500 - 0.1067 x (r) x 75
We can simplify this expression by first multiplying 0.1067 and 75:
Number of male rabbits = 1500 - 8.003 x r
Finally, we can substitute the value of x in terms of the total number of rabbits in the population (1500) to find the number of male rabbits:
Number of male rabbits = 1500 - 8.003 x (1500/75)
Number of male rabbits = 1000
Therefore, there are 1000 male rabbits in the population.
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You have a volume of oil that you weigh on an electronic balance. The smallest scale on the balance is 0.1 grams, and the manufacturer’s specifications indicate that the "accuracy" of the balance is "1% reading + 2 digits". A 100 ml measuring cylinder is used to measure the volume of the oil. The measuring cylinder has a scale divided into 1 ml ranges, and the manufacturer has written "Tolerance = ± 1ml". The volume measured is 55.0 ml and the mass is 49.0 grams. Show all your working and explanation.
What is the uncertainty in the volume of the oil?
Answers
The uncertainty in the volume of the oil is 0.0112 mL.
Given data:
Mass of oil = 49.0 g
Volume of oil = 55.0 mL
Instruments used: Electronic balance and 100 mL measuring cylinder
Electronic balance smallest scale = 0.1 g
Accuracy = 1% of reading + 2 digits
Measuring cylinder scale divided into 1 ml ranges
Tolerance = ± 1 ml
Let's calculate the uncertainty in the volume of oil using the formula:
uncertainty in volume of oil = uncertainty in mass of oil / density of oil
We can find the uncertainty in the mass of oil by using the formula:
uncertainty in mass of oil = smallest scale / accuracy * reading
uncertainty in mass of oil = 0.1 g / (1% of 49.0 g + 0.02 g) * 49.0 g
= 0.01 g (approx.)
Therefore, uncertainty in volume of oil = uncertainty in mass of oil / density of oil
Now we need to find the density of oil using the formula:
density of oil = mass of oil / volume of oil
density of oil = 49.0 g / 55.0 mL
= 0.891 g/mL (approx.)
Putting the values,
uncertainty in volume of oil = 0.01 g / 0.891 g/mL
= 0.0112 mL (approx.)
Therefore, the uncertainty in the volume of the oil is 0.0112 mL.
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am i right ? plz answer
Answers
Answer:
yes
Step-by-step explanation:
$
A deck of Uno cards has 4 colors (suits): Red, Yellow, Green, Blue
Each color has cards numbered 1 to 9,
so the total number of these cards = 49 = 36
(An Uno deck also has other, special cards, but for this question, those special cards are removed for the
deck. Only the numbered cards are used.)
a) Event E = Randomly selecting an UNO card that is Red.
What is the probability of event E?
(Enter a fraction; it does not have to be reduced.)
b) Event F = Randomly selecting an Uno card that is some number from 1 to 6 of any of the 4 colors.
What is the probability of event F?
(Enter a fraction; it does not have to be reduced.)
c) How many cards are in the intersection of events E and F?
d) P(E and F) = the probability of choosing a card in the intersection of events E and F: P(E and F) = ?
e) Let event G = E or F.Use the General Addition Rule to compute P(G): P(G) = P(E) + P(F) - P(E and F)
f) How many cards are in event G?
Question Help: D Video 1 Video 2 Message instructor
Answers
Answer:
A) 1/9
B) 2/3
C) 6 (I think)
D) 6 (isn't it the same as question C?)
Step-by-step explanation:
Remember this formula:
Probability = number of favorable outcomes divided by the number of possible outcomes
a) 4 / 36 = 1/9
b) 6 * 4 = 24 / 36 = 2/3
c) 24 - 18 = 6
d) 6
I can't do all of them but I tried my best.
Hope this helped...
Answer:
same answer
Step-by-step explanation:
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Tamarisk company began operations on january 2, 2019. It employs 9 individuals who work 8-hour days and are paid hourly. Each employee earns 9 paid vacation days and 7 paid sick days annually. Vacation days may be taken after january 15 of the year following the year in which they are earned. Sick days may be taken as soon as they are earned; unused sick days accumulate. Additional information is as follows. Actual hourly wage rate vacation days used by each employee sick days used by each employee 2019 2020 2019 2020 2019 2020 $6 $7 0 8 5 6 tamarisk company has chosen to accrue the cost of compensated absences at rates of pay in effect during the period when earned and to accrue sick pay when earned
Answers
The total cost of compensated absences for Tamarisk Company for the years 2019 and 2020 was $348 + $1,399 = $1,747.
To calculate the cost of compensated absences for Tamarisk Company, we need to calculate the number of vacation days and sick days earned by the employees in 2019 and 2020, and then calculate the cost of the days earned but not taken.
Each employee earns 9 vacation days per year. As they can be taken after January 15th of the year following the year in which they are earned, the vacation days earned by the employees in 2019 can be taken in 2020. Therefore, in 2019, no vacation days were taken by any employee.
In 2020, the employees took a total of 8 vacation days. As there are 9 employees, the total vacation days taken in 2020 were 9 x 8 = 72.
Sick Days:
Each employee earns 7 sick days per year, and unused sick days accumulate. In 2019, the employees used a total of 5 sick days. Therefore, the unused sick days at the end of 2019 were 9 x 7 - 5 = 58.
In 2020, the employees used a total of 6 sick days, and the unused sick days at the end of 2020 were 58 + 9 x 7 - 6 = 109.
To find the cost of compensated absences. The unused sick days and vacation days must be multiplied to get the hourly wage rate in effect in a year.
In 2019, the cost of compensated absences was 58 x $6 = $348.
In 2020, the cost of compensated absences was (72 + 109) x $7 = $1,399.
Therefore, the total cost of compensated absences for Tamarisk Company for the years 2019 and 2020 was $348 + $1,399 = $1,747.
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Divide the polynomials.
right answers only
Answers
Answer:
x+9
Step-by-step explanation:
I got it right on the quiz
There is an equal number of men, women and children at a party. How many persons could be at the party?
Answers
Answer:
3, 6, 9, 12, and so on, basically any number that can be divided by 3
Answer:
0 or any positive multiple of 3 ex. 3, 6, 9, 12, 15.....
Step-by-step explanation:
a random experiment was conducted to see if a newly formulated drug produced a different effect on the mean time to recovery than that achieved using the standard drug. it is known that the mean time to recovery for the standard drug is 26 days. following an extensive random experiment involving 65 patients, the data gathered were used to construct a 95% confidence interval estimate for the mean recovery time (in days) for patients on the new drug. the 95% confidence interval was found to be (24.6, 27.8). what conclusion can be reached in this case concerning the new drug relative to the standard drug
Answers
Based on the given information, we conducted a random experiment to compare the mean time to recovery between a newly formulated drug and the standard drug. The mean time to recovery for the standard drug is known to be 26 days.
After an extensive random experiment involving 65 patients, we constructed a 95% confidence interval estimate for the mean recovery time for patients on the new drug, which was found to be (24.6, 27.8) days.
Based on this information, we can conclude that the mean recovery time for patients on the new drug is significantly different from the mean recovery time for patients on the standard drug. Since the confidence interval for the new drug does not include the mean recovery time of the standard drug (26 days), it suggests that the new drug produces a different effect on the mean time to recovery compared to the standard drug.
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All monkeys are good chess players. All wookies are monkeys. All wookies are good chess players. what is the conclusion?
Answers
The average conclusion is that since they are monkeys, all wookies are good chess players.
Two premises form the basis for the conclusion. All monkeys are skilled chess players, according to the first postulate. The idea that all Wookies are monkeys is the second premise. The first assumption indicates that all monkeys are brilliant chess players, and since the second premise states that all wookies are monkeys, it follows that all wookies must likewise be good chess players. The conclusion is that since they are monkeys, all wookies are good chess players. This conclusion comes logically from the two supplied premises. The conclusion is also presumptively true because the premises are believed to be true.
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A company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". Which of the following statements is true? She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The rcent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.
Answers
The correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E. Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:
Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:
She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The percent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.
To calculate the salary of the vice president after n years of becoming a vice president, we use the given formula:
S(n) = 70000(1.2)
S(n) = 84000
The salary of the vice president after one year of becoming a vice president: S(1) = 70000(1.2)
S(1) = 84000
The percent increase of her salary is: S(n) = 70000(1.2)n
S(n) - S(n-1) / S(n-1) × 100%
S(n) - S(n-1) / S(n-1) × 100% = (70000(1.2)n) - (70000(1.2)n-1) / (70000(1.2)n-1) × 100%
S(n) - S(n-1) / S(n-1) × 100% = 20%
Therefore, the correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E.
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It is Friday and you and your friends are going to hit up
the local amusement park. The park costs $30 dollars
to enter and then the tickets for the rides each cost
$3.50. Write an equation when y is total price of
amusement park and x is the number of tickets bought.
Interpret the slope and y-intercept when asked to
explain your answer
Helpp plss
Answers
Answer:
y= 30 + 3.50
Step-by-step explanation:
lol I think you're Giselle for my school but that's what the answer it im pretty sure.
A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.
Answers
Answer:
false negatives - 2%
false positives - 3%
Step-by-step explanation:
Here is the complete question :
A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.
% of results will be false negatives, and % of results will be false positives.
False negative means a negative result which in actuality it is positive
False negative = 100% - percent of positive result
100% - 98% = 2%
False positive result means a positive result which in actuality is negative
False positive = 100% - percent of false positive
100 - 97 = 3%
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
10
10
(0, 0)
(4,-2)
10
Answers
The equation of the line in slope intercept form is y = - 1 / 2 x .
How to find the equation of a line?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptHence, let's find the slope as follows:
using (0, 0)(4, -2)
m = -2 - 0 / 4 - 0
m = - 2 / 4
m = - 1 / 2
Therefore, let's find the y-intercept as follows:
y = - 1 / 2x + b
0 = - 1 / 2(0) + b
b = 0
Therefore,
y = - 1 / 2 x
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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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