With 90% confidence, the lower confidence limit (LCL) for the mean winnings is approximately $34,955.09 and the upper confidence limit (UCL) is approximately $40,485.31.
The mean winnings for all the show's players with a 90% confidence level, we can use the formula for a confidence interval for the population mean.
The sample of winnings:
30,692, 43,231, 48,269, 28,592, 28,453, 36,309, 45,318, 36,362, 42,871, 39,592, 35,456, 40,775, 36,466, 36,287, 38,956
We can calculate the sample mean (x(bar)) and the sample standard deviation (s) from the given data.
Sample mean
(x(bar)) = (30,692 + 43,231 + 48,269 + 28,592 + 28,453 + 36,309 + 45,318 + 36,362 + 42,871 + 39,592 + 35,456 + 40,775 + 36,466 + 36,287 + 38,956) / 15
≈ 37,720.2
Sample standard deviation
s = √[((30,692 - 37,720.2)² + (43,231 - 37,720.2)² + ... + (38,956 - 37,720.2)²) / (15 - 1)]
≈ 6,522.45
The standard error (SE) of the mean is calculated as SE = s /√n, where n is the sample size.
Standard error (SE) = 6,522.45 / √15 ≈ 1,682.12
To calculate the confidence interval, we need to find the critical value corresponding to a 90% confidence level. For a 90% confidence level, the critical value is approximately 1.645.
Margin of error = Critical value × Standard error
= 1.645 × 1,682.12
≈ 2,765.11
Lower confidence limit (LCL) = Sample mean - Margin of error
= 37,720.2 - 2,765.11
≈ 34,955.09
Upper confidence limit (UCL) = Sample mean + Margin of error
= 37,720.2 + 2,765.11
≈ 40,485.31
Therefore, with 90% confidence, the lower confidence limit (LCL) for the mean winnings is approximately $34,955.09 and the upper confidence limit (UCL) is approximately $40,485.31.
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The question is incomplete the complete question is :
How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winners was drawn and the amount of money each won was recorded and listed below. Estimate with 90% confidence the mean winning's for all the show's players. 30692 43231 48269 28592 28453 36309 45318 36362 42871 39592 35456 40775 36466 36287 38956 Lower confidence level (LCL) = ? Upper confidence level (UCL) = ?
graph y = -4 on a graph
Answer:
It is a horizontal line at the point (0,-4) and goes on forever.
Step-by-step explanation:
Write an equation to represent the image.
Answer:
m+1/4=2/3
Step-by-step explanation:
please mark me as brainlest
Find the average rate of change for the function f(x)=3^x+17
Using the intervals x=3 to x=6
Answer:
234
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
\(\frac{f(b)-f(a)}{b-a}\)
here [ a, b ] = [3, 6 ] , then
f(b) = f(6) = \(3^{6}\) + 17 = 729 + 17 = 746
f(a) = f(3) = 3³ + 17 = 27 + 17 = 44 , then
average rate of change = \(\frac{746-44}{6-3}\) = \(\frac{702}{3}\) = 234
Gloria enjoys playing Skee ball — an arcade game where players toss a ball so it rolls up a ramp and falls into one of several slots. Each slot is worth a different number of points based on how difficult it is to land the ball in that slot. Gloria only aims at the most difficult slot, which is worth 100100100 points, but she only has a 10\%10%10, percent chance of landing the ball in that slot. If she misses, her ball will certainly land in the 101010 point slot.
The table below displays the probability distribution of XXX, the number of points Gloria scores on a random shot.
X=points, 100 10
P(X), 10%, 90%,
Given μx=19μ calculate σ X
Answer:
27
Step-by-step explanation:
that's the answer on khan
Micaela is cooking bread. The recipe calls
for
3 and 4/5 cups of flour. She accidentally put
5 and
3/10
cups. How many extra cups did
she put in?
Answer:
1 and 5/10 or 1 and 1/2
Step-by-step explanation:
5 and 3/10 - 3 and 4/5 -
\(\frac{53}{10}\) - \(\frac{19}{5}\)
=\(\frac{15}{10}\)
1 and 5/10 or 1 and 1/2
FLOORPLAN A bedroom is in the shape of a square. The length of the room is 6p' g. What is the area of the bedroom in terms of p and a?
Write the variables in alphabetical order.
The area of the square bedroom given that the side length is 6pa has a value of 36a²p²
How to determine the area of the bedroomThe dimensions and the shape of the bedroom from the question are given as
Shape = square
Length = 6pa
By definition, the area of a square shape is
Area = Length x Length
When the known values are substituted, we have
Area = 6pa x 6pa
Evaluating the product, we have
Area = 36a²p²
Hence, the area is 36a²p²
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Find the surface area of the prism.
Answer: 26
Step-by-step explanation:
I would say 26 because you multiplying 3 and 4 and then add whatever number you get for 8 and 5.
40 percent of what is 524
Answer:
1310
Step-by-step explanation:
Answer:
7.63
(Hope this helps! Btw, I am the first to answer.)
"the quotent of a number and 4" i dont wanna fail math
Answer:
N/4
Step-by-step explanation:
quotient is the same as division
since we don't know what the number is we use n as the variable
so n/4
Hope this helps
Find the average value of the function f(x) = (x + 2) on the interval [0, 3].
The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.
Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:
= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3
= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]
= (1/3) × [(9/2 + 6) - 0]
= (1/3) × (21/2)
= 7/2
Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
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Farrah has a piece of paper that is 8inches long and 11 inches wide. She cuts a semicircle with a radius of 4 inches out of the piece of paper. What is the area of the piece of paper she has left after the cut to the nearest hundredth? Use for
Answer:
62.87in^2
Step-by-step explanation:
area=88in^2
semicircle area=25.13in^2
88-25.13=62.87
area=62.87in^2
Simplify the expression assuming that A, B, C, and D are invertible. (AC-1)-1 (AC-1) (AC-1)-1 AD-1
The simplified expression is AD^(-1), where A is a matrix, C^(-1) is the inverse of matrix C, and D^(-1) is the inverse of matrix D.
The given expression is (AC^(-1))^(-1)(AC^(-1))(AC^(-1))^(-1)AD^(-1), and the task is to simplify it using the inverse property of matrix multiplication.
According to the inverse property of matrix multiplication, for any square matrix A, if A^(-1) is the inverse of A, then A^(-1)A = I, where I is the identity matrix.
Using this property, we can simplify the given expression as follows:
(AC^(-1))^(-1)(AC^(-1))(AC^(-1))^(-1)AD^(-1)
= AC^(-1)AC^(-1)(AC^(-1))^(-1)AD^(-1) // Applying the inverse property
= AC^(-1)(I)(AC^(-1))^(-1)AD^(-1) // Since A^(-1)A = I
= AC^(-1)(AC^(-1))^(-1)AD^(-1) // Simplifying (I)(AC^(-1)) = AC^(-1)
= AC^(-1)AC(AD^(-1)) // Since (AC^(-1))^(-1) = AC
= I(AD^(-1)) // Since A^(-1)A = I
= AD^(-1) // Since I(B) = B for any matrix B
Therefore, the simplified expression is AD^(-1), where A is a matrix, C^(-1) is the inverse of matrix C, and D^(-1) is the inverse of matrix D.
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Suppose your roommate smokes in your apartment, imposing a cost on you. The Coase theorem suggests that one solution would involve:
The Coase theorem suggests that in situations like this, bargaining between the two parties can lead to an efficient outcome. In this case, the smoker and non-smoker (roommate and you) could negotiate to find a solution that minimizes the total cost to both parties.
For example, the smoker could agree to smoke outside or use an air purifier, while the non-smoker could offer to pay a portion of the cost of these solutions. Ultimately, the Coase theorem suggests that as long as property rights are clearly defined and transaction costs are low, the two parties can negotiate to find a mutually beneficial solution to the problem of smoking in the apartment.
1. Clearly defining property rights: Establish whether the apartment has a non-smoking policy or if you have the right to a smoke-free environment within your living space.
2. Engaging in negotiation: Communicate your concerns to your roommate and discuss the negative effects of their smoking on you.
3. Finding a mutually beneficial solution: Both parties can negotiate and arrive at a compromise. This could include your roommate agreeing to smoke outside, designating a specific area for smoking, or using a smoke-filtering device. In some cases, you may also consider offering compensation or splitting the costs of a smoke-filtering device.
By following these steps, both you and your roommate can reach an efficient solution that reduces the cost imposed on you due to your roommate's smoking.
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According to a model developed by a public health group, the number of people N(t), in hundreds, who will be ill with the Asian flu at any time t, in days, next flu season is described by the equation N(t) = 90 + (9/4)t- (1/40r 0st 120 where t 0 corresponds to the beginning of December. Find the date when the flu will have reached its peak and state the number of people who will have the flu on that date
To find the date when the flu will have reached its peak and the number of people who will have the flu on that date, we need to determine the maximum value of the function N(t).
The function N(t) = 90 + (9/4)t - (1/40)t^2 - 120 is a quadratic function in terms of t. The maximum value of a quadratic function occurs at the vertex of the parabola.
To find the vertex of the parabola, we can use the formula t = -b/(2a), where a, b, and c are the coefficients of the quadratic function in the form ax^2 + bx + c.
In this case, a = -1/40, b = 9/4, and c = -120. Plugging these values into the formula, we have:
t = -(9/4)/(2*(-1/40))
Simplifying, we get:
t = -(9/4) / (-1/20)
t = (9/4) * (20/1)
t = 45
Therefore, the date when the flu will have reached its peak is 45 days from the beginning of December. To find the number of people who will have the flu on that date, we can substitute t = 45 into the equation:
N(45) = 90 + (9/4)(45) - (1/40)(45)^2 - 120
N(45) = 90 + 101.25 - 50.625 - 120
N(45) = 120.625
So, on the date 45 days from the beginning of December, approximately 120,625 people will have the flu.
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rewrite using a single positive exponent
Answer:
9³
Step-by-step explanation:
We need to find the value of \(\dfrac{9^5}{9^2}\).
We know that,
\(\dfrac{x^a}{x^b}=x^{a-b}\)
Here, a = 5 and b = 2.
So,
\(\dfrac{9^5}{9^2}=9^{5-2}\\\\=9^3\)
So, the answer to the given expression is 9³.
If a family has two children and there is a boy in the family, what is the probability that there is a girl
The probability of having a girl in the family is also 1/2 since there are only two potential outcomes.
The probability that a family with two children has a boy and a girl is 1/2 because there are two potential birth orders: boy then girl or girl then boy.
Since the order does not matter in this case, the probability is 1/2 + 1/2 = 1.
However, since the question specifies that the family has at least one boy, we can eliminate the girl-boy birth order and conclude that the probability that the family has a boy and a girl is 1/2.
Therefore, the probability of having a girl in the family is also 1/2 since there are only two potential outcomes.
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The line given by -17x+8y=-16 is dilated by a scale factor centered at the origin.the image of the line after dilation is given by -17x+8y=-64. What is the scale factor of the dilation?
The scale factor of the dilation is approximately 0.49.
How to find the scale factor?To find the scale factor of the dilation, we need to compare the distances between the origin and any two points on the original line with the distances between the origin and their corresponding points on the dilated line.
Let's rearrange the equation of the original line to solve for y:
-17x + 8y = -16
8y = 17x - 16
y = (17/8)x - 2
So the slope of the original line is 17/8, which means that the angle between the original line and the positive x-axis is the arctan(17/8).
Now let's find two points on the original line. We can choose any x values and plug them into the equation to get the corresponding y values. Let's choose x = 0 and x = 8:
When x = 0, y = (17/8)(0) - 2 = -2, so one point is (0,-2).
When x = 8, y = (17/8)(8) - 2 = 14, so another point is (8,14).
The distance from the origin to the first point is √(0²+ (-2)²) = 2, and the distance from the origin to the second point is √(8² + 14²) ≈ 16.49.
Now let's find the corresponding points on the dilated line. The equation of the dilated line is -17x + 8y = -64, which can be rearranged to solve for y:
8y = 17x - 64
y = (17/8)x - 8
We can use the same x values as before:
When x = 0, y = (17/8)(0) - 8 = -8, so the corresponding point on the dilated line is (0,-8).
When x = 8, y = (17/8)(8) - 8 = 0.5, so the corresponding point on the dilated line is (8,0.5).
The distance from the origin to the first point on the dilated line is sqrt(0²+ (-8)²) = 8, and the distance from the origin to the second point on the dilated line is sqrt(8²+ 0.5²) ≈ 8.06.
To find the scale factor of the dilation, we can divide the distances between the origin and the two sets of corresponding points:
scale factor = (distance between corresponding points on dilated line) / (distance between corresponding points on original line)
Using the distances we calculated earlier, we get:
scale factor = (8.06) / (16.49) ≈ 0.49
Therefore, the scale factor of the dilation is approximately 0.49.
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A rectangular room has an area of 120 square feet. a. The length of the room is 15 feet. Find the perimeter of the room. The perimeter of the room is feet.
which of the following are not required assumptions for the validity of standard linear regression modeling? which of the following are not required assumptions for the validity of standard linear regression modeling? the predictor variable is normally distributed. the residuals are normally distributed. the intercept is not zero. the response variable is linearly related to the predictor variable. the response variable is normally distributed. the variance in the residuals is the same for all values of the predictor variable.
The predictor variable is normally distributed is not required for the validity of standard linear regression modeling.
The assumptions that the residuals are normally distributed, the response variable is linearly related to the predictor variable, the response variable is normally distributed, and the variance in the residuals is the same for all values of the predictor variable are required assumptions for the validity of standard linear regression modeling. Additionally, the assumption that the intercept is not zero is not a required assumption, but rather a consideration for the interpretation of the model. In standard linear regression modeling, the following are not required assumptions for validity:
1. The predictor variable is normally distributed.
2. The intercept is not zero.
3. The response variable is normally distributed.
Required assumptions include:
1. The residuals are normally distributed.
2. The response variable is linearly related to the predictor variable.
3. The variance in the residuals is the same for all values of the predictor variable (homoscedasticity).
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very unsure of this answer so pls help asap if you can!!
The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.
What is a parallelogram?In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.
In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:
(Line segment PR)/2 = (Line segment SQ)/2
Line segment PR = Line segment SQ
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Find the Perimeter and Area of a triangle that has a height of 15 feet and a base of 6 feet?
Answer: Please rank me brainest!
Area = 45ft 2
Perimeter = 36 ft
Step-by-step explanation:
MATH HELP ASAP!!! MARKING BRAINLIEST
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
Section 1 - Topic 9 Parallel and Perpendicular Lines - Part 2 (please help)
1. Write the equation of the line that it is perpendicular to y = 7x - 3 and passes through the origin.
2. Write the equation of the line that it is parallel to y = 2x + 1 and passes through the solution of the following system of equations. (3x - 2y = 10 x + y = 5
9514 1404 393
Answer:
y = -1/7x y = 2x -7Step-by-step explanation:
1. The slope of the given line is the x-coefficient, 7. The slope of the perpendicular line is the negative reciprocal of this: -1/7. Since the line goes through the origin, the y-intercept is zero.
y = -1/7x
__
2. The first part of this problem is to find the solution to the given system of equations. We can substitute for x to do that:
3(5 -y)-2y = 10
15 -5y = 10 . . . simplify
-3 +y = -2 . . . . divide by -2
y = 1, x = 4 . . . add 3 to find y; subtract y from 5 to find x
__
The second part of this problem requires we note the slope of the parallel line. It is the x-coefficient, 2. The y-intercept can be found from ...
b = y -mx = 1 -2(4) = -7
So, the desired line in y=mx+b form is ...
y = 2x -7
_____
The first attachment shows the perpendicular lines of problem 1.
The second attachment shows the parallel lines of problem 2.
sented in the following table by the sex of the child. boys girls make good grades 192 590 be popular 64 90 be good in sports 188 80 the expected count for boys who make good grades is group of answer choices 388.38 444 288.38 56.79
The expected number of boys who make good score is found to be 188 by using random sample method.
To get the projected number of boys who get good grades, multiply the total number of boys by the proportion of boys who answered they would like to get good grades the most.
According to the table, the total number of boys surveyed is:
188 +64 +192 = 444
And the percentage of guys who indicated they
would like to get good grades is:
188/444 0.423
As a result, the projected number of guys with good grades is:
Expected number of boys = total number of boys
x percentage of boys who get high grades
444 x 0.423 = 444 boys expected
Number of boys expected = 187.812
When we round to the nearest full number, we get: The expected number of males with good grades
is 188.
So, as a result there are 188 boys who say they
would like to score more good grades.
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Complete question - A study examines the personal goals of children in grades 4, 5, and 6. A random sample of students was selected for each of the grades 4, 5, and 6 from schools in Georgia. The students received a questionnaire regarding achievement of personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Results are presented in the following table by the sex of the child.
Boys Girls
Be good in sports 188 590
Be popular 64 80
Make good grades 192 90
A freezer in a lab is set so that the temperature changes at a rate of –1.6 C every hour. What is the change in the temperature after 414
h? Show your work.
Answer:
- 6.8°CStep-by-step explanation:
Temperature drop = - 1.6°C / hrTime = 4 1/4 hrTemperature change is:
-1.6 * 4 1/4 =-1.6 * 4.25 = - 6.8°CAnswer:
-662.4
Step-by-step explanation:so u would just multiply the amount of change an hour by the amount of hours it changes which gives u the answer of -662.4.
A rectangle is plotted on a coordinate plane. The four vertices are located at (−5,5), (−5,−3), (2,5), and (2,−3). What is the area of the rectangle?
The area of the rectangle is ______ square units.
Answer:
56 square units
Step-by-step explanation:
I'd recomend using something like "Desmos" to plot the points so then you can see the points and the rectangle. Then count the length and width. For the this rectangle the length was 8 and the width was 7, multiply these and you get the answer of 56 sqaure units.
find the equation of the line
The line is perpendicular to y =
1/9 x + 1 and passes through the point (3, 7).
The equation of the line is
Answer:
since the equation of the line is perpendicular to y (m2= -1/m1)
using the formula y=mx+c
m1=1/9
since m2 = -1/m1
m2= -1/1/9
m2 = -9
The other line passing through (3,7) has a slope of -9
using the formula
y-y1 = m(x-x1)
y-7= -9(x-3)
y-7= -9x+27
y= -9x +27+7
y= -9x +34(equation of the line)
In the group of ordered pairs shown, the x-values are inputs and the y-values are outputs. Which statements are true about the inputs and outputs? Select all that apply.
(2, 4), (6, 3), (5, 4), (7, 3), (8, 2)
A. There is only one input for every output.
B. There is only one output for every input.
C. There is more than one output for some inputs.
D. There is more than one input for some outputs.
The true statements about the input and output values given in the question are :
There is only one input for every output.There is only one output for every input.The pair of point corresponds to an x and y value respectively, this means that for any point there is one input and one output.
Therefore, since there is a one to one relationship for each point, then there is only one input for every output and vice versa.
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Is he square root of -144 rational or irrational?
Answer:
Step-by-step explanation:
Neither.
It is a complex number. The - sign is the culprit. sqrt(-144) = i * sqrt(144) = 12 i
The "i" is an imaginary representation for the square root of -1. It is a definition for sqrt(-1). So a new category of number has been created. The ancients would have been profoundly surprised to learn that such a thing existed.