we are worried that is measured with error in our survey. let tvhours denote the reported hours of television viewing per week. what do the classical errors-in-variables (cev) assumptions require in this application? do you think the cev assumptions are likely to hold? explain.
The classical errors-in-variables (CEV) assumptions require that the measurement error in tv hours is not related to the true value of television viewing.In other words, the error should be random and not correlated with the actual amount of time spent watching TV.
Additionally, the CEV assumptions require that the measurement error has a mean of zero and a constant variance. Whether or not the CEV assumptions are likely to hold in this application depends on several factors. One important consideration is the accuracy of the survey instrument used to collect data on tv hours.
If the survey is poorly designed or administered, it may introduce systematic measurement error that is correlated with the true value of television viewing.
Another important factor is the population being surveyed. If the population is highly diverse with respect to television viewing habits, it may be difficult to ensure that the CEV assumptions hold for all subgroups.
Overall, while it is possible that the CEV assumptions hold in this application, it is also possible that they do not. Researchers should carefully consider the potential sources of measurement error and take steps to minimize them if possible.
Additionally, sensitivity analyses can be conducted to explore the robustness of study results to violations of the CEV assumptions.
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What is the circumference of 4cm
Answer:
The formula for the circumference of a circle is C = 2πr or C= πd where r represents length of r and d represent length of diameter. The length of a diameter is 2r which is why C= πd. Using this formula, we know that r= 4cm. Thus, C= 2(4)π = 8π ≈ 25.13 centimeters.
Step-by-step explanation:
what is a congruent polygon
A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.
Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.
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Determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily. Round your answer to the nearest hundredth of a percent, if necessary. Answer
The annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.
To determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (6.63%)
n = the number of times interest is compounded per year (365 for daily compounding)
t = the number of years (8)
Plugging in the values, we have:
A = 1200(1 + 0.0663/365)^(365*8)
Calculating this, we get A ≈ $1,968.49.
To find the annual percentage yield, we need to find the interest earned:
Interest = A - P = $1,968.49 - $1200 = $768.49
Now, we can find the annual percentage yield using the formula:
Annual percentage yield = (Interest / P) * 100
Plugging in the values, we have:
Annual percentage yield ≈ ($768.49 / $1200) * 100 ≈ 64.04%
Therefore, the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.
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Question
Based on a survey of 100 people who work 60 or more hours a week, a magazine article reported that a person working 60 or more hours a week sleeps on average 6.2 hours each night with a margin of error of 0.6 hours.
Between what range of values does a person working 60 or more hours a week sleep in a week?
Answer: Based on the survey, a person working 60 or more hours a week can expect to sleep between approximately 39.2 and 47.6 hours in a week.
Step-by-step explanation: To determine the range of values for the amount of sleep a person working 60 or more hours a week gets in a week, we need to consider the margin of error and calculate the upper and lower bounds.
Given that the average sleep per night is 6.2 hours with a margin of error of 0.6 hours, we can calculate the upper and lower limits for a week of sleep as follows:
Lower bound: (Average sleep per night - Margin of error) * 7
= (6.2 - 0.6) * 7
= 5.6 * 7
= 39.2 hours
Upper bound: (Average sleep per night + Margin of error) * 7
= (6.2 + 0.6) * 7
= 6.8 * 7
= 47.6 hours
Therefore, based on the survey, a person working 60 or more hours a week can expect to sleep between approximately 39.2 and 47.6 hours in a week.
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Translate the following phrase into an absolute value inequality.
The distance between 2 and 5 times a number is no less than 8.
1.|5x−2|≥8
2.|5x−2|≤8
3.|5x+2|≤8
4. |5x+2|≥8
Trey takes the angle shown, places the point of his compass on S, and draws an arc with an arbitrary radius intersecting the rays of the angle at P and R. Trey claims that as long as he draws two more arcs by placing the needle of his compass on P and then on R, drawing a ray from S through the point at which the arcs intersect, he will be able to bisect ∠S. Is Trey correct? Explain.(1 point)
1. Trey is not necessarily correct. He will need to ensure that the distance from S to P and the distance from S to R are equal.
2. Trey is correct since the initial arc was drawn with the point of the compass on S, RS=PS.
3. Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R.
4. Trey is correct. Since the compass is placed on the points P and R to draw the remaining two arcs, the ray drawn through their intersection will bisect the angle.
1. The inequality when the distance between 2 and 5 times a number is no less than 8 is 1. |5x−2|≥8
2. The correct option is A. Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R.
How to express the inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
The distance between 2 and 5 times a number is no less than 8.
Let the number be x
This will be |5x−2|≥8. The correct option is 1.
For the second question, it should be noted that Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R. The correct option is A.
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Consider and economy with a single (representative) agent, with utility function
u(x,l)=(x^2/3)(l^1/3)
and an endowment of 0 units of x and 1 unit of l. The agent owns a firm that produces good x using l as an input with cost function
c(q)=q^2
Find the competitive prices and allocation.
The competitive price of good x and the corresponding allocation of labor (l) is \((2/3)^{(3/2)}\) x \(l^{(1/2)}\) = 1/2.
To find the competitive prices and allocation in this economy, we need to determine the equilibrium conditions. In a competitive market, prices are determined such that supply equals demand. In this case, the supply of good x is determined by the cost function of the firm, while the demand for good x is determined by the utility function of the representative agent.
Let's find the agent's demand for good x. The agent maximizes their utility subject to their budget constraint, which is given by the endowment of labor (l) and the prices of x and l. The agent's optimization problem can be solved using Lagrange multipliers, which yields the following demand function:
x = \((2/3)^{(3/2)}\) x \(l^{(1/2)}\)
We can find the supply of good x by minimizing the cost function of the firm. The cost minimization problem can be solved by equating the marginal product of labor to the wage rate (the price of labor). In this case, the marginal product of labor is equal to 2q, and the wage rate is 1. Solving for the quantity of x produced (q) gives us:
q = 1/2
We can determine the competitive prices. Since the demand for good x is given by the agent's utility function, we can equate the demand and supply functions to find the equilibrium prices:
\((2/3)^{(3/2)}\) x \(l^{(1/2)}\) = 1/2
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A rectangle has an area of 90 units. what is the rectangles length and width?
Step-by-step explanation:
You must specify the length or the breadth either in values, variables or ratio. ..
There are infinite answers for this question., so I guess you have missed printing some information in it.. so rewrite the question please
Find the value of the expression 12x+3 1 2 x + 3 if x = 12.
Answer:
The answer is 147
Step-by-step explanation:
12x+3 x=12
12(12)+3
144+3
147
Simplify the expression: -3(8 + 6/9x - 3)
7y2 - 7y+ 4
-(-3y2 + 7y + 7)
(Simplify your answer.)
Answer:
10y2 -7y -3
Step-by-step explanation:
7y2 + 3y2= 10y2
-7y
4 - 7=-3
Answer:
7y + 4-y - 7Step-by-step explanation:
1. 7y2 - 7y + 4
7y × 2 = 14y
14y - 7y + 4
= 7y + 4
2. -(-3y2 + 7y + 7)
-3y × 2 = -6y
-(-6y + 7y + 7)
-6y + 7y = 1y = y
= -y - 7
Given the sequence 2 and one half comma 2 and one third comma 2 and one fourth comma and continues comma what is f (n)?
f of n equals 2 plus 1 over the quantity 1 plus n
f of n equals 2 plus 1 over n
f of n equals n plus 1 over the quantity 1 plus n
f of n equals 3 minus 1 over n
The function f(n) that generates this sequence is 2 + 1/(n+1). This function takes an input of n and outputs the corresponding term in the sequence.
What is an arithmetic sequence?
A progression or sequence of numbers known as an arithmetic sequence maintains a consistent difference between each succeeding term and its predecessor. The common difference in that mathematical progression is the constant difference.
Here, we have
Given: the sequence 2 and one-half comma 2 and one-third comma 2 and one-fourth comma and continues.
Each term in the sequence is 2 plus a fraction where the denominator is one more than the term number. For example:
In the first term, n=1, and the fraction is 1/2
In the second term, n=2, and the fraction is 1/3
In general, the n-th term in the sequence will have the fraction 1/(n+1).
Hence, the function f(n) that generates this sequence is 2 + 1/(n+1). This function takes an input of n and outputs the corresponding term in the sequence.
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The formula for the lateral surface area of a cone—that’s the surface that isn’t the base—is π × r × sqrt(h² + r²); h is the height of the cone and r is the radius of its base. A circular #2 pencil is 6 mm in diameter, and a pencil sharpener creates a cone-shaped end that is 20 mm in height. Find the surface area of the sharpened part of the pencil.
a 6 ft man lifts a 100-lb weight from the floor to a height 1 ft above his head. how much work is done in lifting the weight?
700 ft-lbs of work is done in lifting the weight of the man.
Work, W= Fdcos∅
Where F is the force
d is displacement
and ∅ is the angle between them.
Since the direction of force is the same as the direction of displacement
so ∅ =0 thus cos∅ =cos0 =1
now, W=Fd
As we know force required to lift an object is equal to the weight of the object
F=100lb
Displacement = height of man+ height he needs to be lifted
Displacement = 6+1=7ft
Hence, W= 100x7
W=700 lbs-ft
Therefore, 700 ft-lbs of work is done in lifting the weight of the man 1ft above his head.
Work is the transferring of energy to or from an object via force along a fixed displacement.
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What is the slope of line p
what is area? is it the same or different from the perimeter and volume?
Answer:
Step-by-step explanation:
area, perimeter, and volume are different measures used to quantify different properties of geometric shapes. Area measures the amount of space enclosed by a shape in two dimensions, perimeter measures the total length of the boundary of a shape in two dimensions, and volume measures the amount of space occupied by a shape in three dimensions.
Factoring polynomials
-12n2-11n=-15
Answer:
(3n + 5)(4n - 3) = 0Step-by-step explanation:
-12 n² - 11n = -1512n² + 11n - 15 = 012n² + 20n - 9n - 15 = 04n(3n + 5) - 3(3n + 5) = 0(3n + 5)(4n - 3) = 0Answer:
\((4n-3)(3n+5)=0\)
Step-by-step explanation:
Given polynomial:
\(-12n^2-11n=-15\)
Add 15 to both sides:
\(\implies -12n^2-11n+15=0\)
Divide both sides by -1:
\(\implies 12n^2+11n-15=0\)
To factor a quadratic in the form \(ax^2+bx+c\) find two numbers that multiply to ac and sum to b.
\(\implies ac=12(-15)=-180\)
\(\implies b=11\)
Therefore, the two numbers are: 20 and -9
Rewrite b as the sum of these two numbers:
\(\implies 12n^2+20n-9n-15=0\)
Factorize the first two terms and the last two terms separately:
\(\implies 4n(3n+5)-3(3n+5)=0\)
Factor out the common term (3n+5):
\(\implies (4n-3)(3n+5)=0\)
Ms. Harwood drives a minivan that gets an average of 22 1/2 miles per gallon of
gasoline. The tank on the minivan holds 18 gallons. How far can Ms. Harwood drive on 1/2 of a tank of gasoline?
11 1/4 miles
112 1/2 miles.
202 1/2 miles
405 miles
Answer:
405 miles
Step-by-step explanation:
Take the miles per gallon and multiply the gallons to get the miles
22.5 * 18
405 miles
Answer:
202 1/2 miles
Step-by-step explanation:
We want to find how far she can drive on 1/2 a tank of gas.
Her tank can hold 18 gallons. Multiply 18 and 1/2, or divide 18 by 2.
18*1/2=18*0.5=9
or
18/2=9
1/2 a tank of gas is 9 gallons. Now, we need to find how far she can drive. Multiply the number of gallons in 1/2 a tank by the miles per gallon.
gallons in 1/2 tank * miles per gallon
We know she has 9 gallons in 1/2 tank, and she gets 22 1/2, or 22.5 miles per gallon.
9 gallons * 22.5 miles/gallon
9*22.5=202.5= 202 1/2
She can drive 202 1/2 miles on 1/2 a tank of gas.
in 1970, the average length of a major league baseball game was 150 minutes compared to 180 minutes in 2018. calculate the absolute and relative change in major league baseball game times from 1970 to 2018. round your answer for relative change to the nearest whole percent. do not round until your final answer.
The average length of a Major League Baseball game increased by 30 minutes from 1970 to 2018. The relative change in game times is calculated to the nearest whole percent.
To calculate the absolute change in Major League Baseball game times from 1970 to 2018, we subtract the initial value (150 minutes) from the final value (180 minutes):
Absolute change = 180 minutes - 150 minutes = 30 minutes
Therefore, the absolute change in game times is 30 minutes.
To determine the relative change, we divide the absolute change by the initial value and multiply by 100:
Relative change = (30 minutes / 150 minutes) * 100
Relative change = 0.2 * 100 = 20%
Therefore, the relative change in Major League Baseball game times from 1970 to 2018 is 20%, rounded to the nearest whole percent.
In this problem, the main words to focus on are "average length," "Major League Baseball game," "1970," "2018," "absolute change," and "relative change." By subtracting the initial value from the final value, we calculate the absolute change, while the relative change is determined by dividing the absolute change by the initial value and multiplying by 100.
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Consider a sample with data values of 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and $2. Compute the mean, median, and mode.
If required, round your answers to two decimal places.
Mean = ________
Median = _________
Mode = _________
The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)
Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73
Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:
Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11
Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.
Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).
Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.
Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.
Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)
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PQRS is a cyclic quadrilateral in which RS is the shortest side. If PS and QR are produced to meet at T such that ST=RT, then prove that PRS=QRS.
Given that ST = RT and PS and QR are produced to meet at T, the
congruency of the angles and the included side proves;
ΔPRS ≅ ΔQRS by Angle-Side-Angle rule of congruency How can the triangles be shown to be congruent?The given parameters are;
The given cyclic quadrilateral = PQRS
The produced side that meet at point T = PS and QR
ST = RT
Required:
To prove that PRS = QRS
Solution:
A two column proof is presented as follows;
Statement \({}\) Reason
1. ST = RT \({}\) 1. Given
2. ΔSRT is an isosceles triangle \({}\) 2. Definition of isosceles triangle
3. ∠TSR ≅ ∠TRS \({}\) 3. Base angles of an isosceles triangle
4. ∠TSR = ∠TRS \({}\) 4. Definition of congruency
5. ∠TSR and ∠PSR, ∠TRS and ∠QRS are linear pair angles 5. Definition of linear pair angles
6. ∠TSR + ∠PSR = 180° and ∠TRS +∠QRS = 180° 6. Property of linear pair angles
7. ∠TSR + ∠PSR = ∠TRS +∠QRS, 7. Substitution property of equality
8. ∠PSR = ∠QRS \({}\) 8. Subtraction property of equality
9. ∠RQS in ΔRQS = ∠SPR in ΔSPR \({}\) 9. Angle subtending the same arc formed at the circumference of a circle
10. ΔPRS ≅ ΔQRS \({}\) 10. By ASA rule of congruency
The Angle-Side-Angle rule of congruency states that if two angles and
an included side of one triangle are congruent to two angles and the
included side of another triangle, then the two triangles are congruent.
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the bill for three bags of peanuts on two medium drinks at the movies with 11.15 dollars is a bag of peanuts cost to $35 how much was 1 drink
Answer:
5.575
Step-by-step explanation:
divide it by 2 its easy
Suppose a student just found out that she scored a 75 on her first statistics exam, with a z-score of 0.5. Her friend, who is in a different section with the same professor, also scored a 75 but had a z-score of minus −0.5. What can you conclude about the mean exam scores in the two classes?
Choose the correct answer below.
A.
The student's class had a lower mean than her friend's class.
B.
Nothing can be concluded about the class means unless the standard deviations are known.
C.
The means must both be equal to 75.
D.
The student's class had a higher mean than her friend's class.
B. Nothing can be concluded about the class means unless the standard deviations are known.
What is mean?The mean is a measure of central tendency in a data set. It is the sum of all the values in the data set divided by the number of values.
A z-score is a measure of how many standard deviations a value is from the mean of a data set. A positive z-score indicates that a value is above the mean, while a negative z-score indicates that a value is below the mean. However, without knowing the standard deviation of the data set, it is not possible to determine the mean or to compare the means of two different data sets.
Hence, B. Nothing can be concluded about the class means unless the standard deviations are known.
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formulas A=bh/2 A=bh and I have 6in 4in 6in 10in and I have to find the area
Answer:
Lots of "ifs" here.
A=bh/2 is the formula for the area of a triangle.
A=bh is the formula for the area of a rectangle or a parallelogram.
If the 6 & 4 area the base & height of a rectangle, then (6)(4) = 24 in^2
If the 6 & 10 are the base and height of a triangle, then 1/2(6)(10) = 30 in^2
Step-by-step explanation:
Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?
Answer:
4, 2.75, 1.5, 0.25, - 1, - 2.25, ...............
Step-by-step explanation:
Using the recursive formula with f(1) = 4, then
f(2) = f(1) - 1.25 = 4 - 1.25 = 2.75
f(3) = f(2) - 1.25 = 2.75 - 1.25 = 1.5
f(4) = f(3) - 1.25 = 1.5 - 1.25 = 0.25
f(5) = f(4) - 1.25 = 0.25 - 1.25 = - 1
f(6) = f(5) - 1.25 = - 1 - 1.25 = - 2.25
Sequence is 4, 2.75, 1.5, 0.25, - 1, - 2.25, .......
[DUE TOMORROW] answer with steps: Last year at RT University, the ratio of the number of
students accepted to the number of students applying
for admission was 2 to 7. RT University accepted
630 students last year, How many students applied to
RT University last year?
Answer:
2205
Step-by-step explanation:
Ratio of the number of students accepted to the number of students applying for admission = 2:7
Number of students accepted = 630 students
Number of students that applied will then be represented by x. This will be:
2/7 = 630/x
2 × x = 630 × 7
2x = 4410
x = 4410/2
x = 2205
????????????????????
Answer:
slope: 8/3
y-intercept: -5
A teacher buys 15 boxes of pencils, 3 boxes of erasers, and 7 boxes of dry erase markers for the class. Each box of pencils costs $19.85, each box of erasers costs $5.62, and each box of dry erase markers costs $31.22.What is the best estimate, in dollars, of the classroom items?
Answer:
533.15
Step-by-step explanation:
$15*19.85+3*5.62+7*31.22
=533.15
Make me brainliest
The best estimate in dollars for the classroom items will be equal to $533.15.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the data given in the question,
Total pencil boxes = 15
Price of each pencil box = is $19.85
Then, the price of 7 pencil boxes will be: 15 × $19.85 = $297.75
Total Erasers boxes = 3
Price of each eraser box = is $5.62
Then, the price of 3 eraser boxes will be: 3 × $5.62 = $16.86
Total dry-erase boxes = 7
Then, the price of 7 dry-erase boxes will be: 7 × $31.22 = $218.54
Then, the total price of all these items will be,
$297.75 + $16.86 + $218.54 = $533.15
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An example of a qualitative variable is Multiple Choice number of children in a family. weight of a person. color of ink in a pen. miles between oil changes.
Due to its subject-specific classification, ink color in pens is a qualitative variable.
What is a Qualitative variable?The factors that cannot be measured with a numerical value are known as qualitative variables. In order to define anything, these quantities are not quantified or tallied; instead, data is categorized.There is no numerical way to express it.Quantitative variableThe other choices are erroneous because the variables that are numerically specified in the other choices—an individual's weight, the number of children, and the number of miles—are these.Therefore, all of those are quantitative variables.Consequently, option (C) is the appropriate choice.
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PLEASE HELP 64 POINTS!! I WILL AWARD BRAINLIEST
Answer:
no solution
Step-by-step explanation:
There are no values of x that make the equation true.
No solution
Answer:
5 divide by 8 equal 0.625 + 2 = 2.625 + x= 2.625x and 1-3x equal = 2x(5/6)= 17x
Step-by-step explanation:
A Step-by-step means moving slowly from one stage or level to the next
Don’t worry, we’ll take things one step at a time.