Mean of the sampling distribution (wx): $900
Standard error of the mean (σx): Approximately $32.92
To find the mean and standard error of the mean of the sampling distribution, we can use the Central Limit Theorem.
The Central Limit Theorem states that for a large enough sample size, the sampling distribution of the sample means will be approximately normally distributed, regardless of the shape of the population distribution.
In this case, the population mean is μ = $900 and the population standard deviation is σ = $180. We are drawing random samples of size n = 30 from this population.
The mean of the sampling distribution (wx) will be equal to the population mean (μ), which is $900.
The standard deviation of the sampling distribution (σx), also known as the standard error of the mean, can be calculated using the formula:
σx = σ / √n
where σ is the population standard deviation and n is the sample size.
Substituting the given values, we have:
σx = $180 / √30
Calculating this value, we find:
σx ≈ $32.92
Therefore, the mean of the sampling distribution (wx) is $900, and the standard error of the mean (σx) is approximately $32.92.
Please note that the Central Limit Theorem assumes a sufficiently large sample size (typically n ≥ 30) for the approximation to hold.
To know more about sampling distribution:
brainly.com/question/13501743
#SPJ4
Arrange the given polynomial in descending order.
9x? + 9x +3+2x
look at screenshot for question
Answer:
I think it is the first one as you add the 4 like from the other
Plzz help it do today and ill mark u brainliest
1,278 is the answer.
Answer:
The 1st one is the correct one
8 x 6 = 48
48 x 21 =1008
9 x 5 = 45
45 x 6 = 270
1008 + 270 = 1278
Find an equation of the line through (2,6) and parallel to y=2x+3
Step-by-step explanation:
We first Find the Slope of the line y=2x+3
The Slope Intercept Form of the equation of a given line is:
y=mx+c
where m is the Slope of that line, and c is the Y intercept.
For this line, the Slope is 2
So the Slope of the line PARALLEL to y=2x+3 will also be 2. And we are given that it passes through the point (2,6)
The Point-Slope form of the Equation of a Straight Line is:
(y−k)=m⋅(x−h)
m is the Slope of the Line
(h,k) are the co-ordinates of any point on that Line.
Here, we have been given the coordinates (h,k) of 1 point on that line as (2,6)
And the Slope m is 2
Substituting the values of h,k and m in the Point-Slope form, we get
(y−2)=(2)⋅(x−6)
(y−2)=2⋅(x-6)
y−2=2x -12
y=2x -12 +2
y=2x-10
The graph will look like
graph{y=2x -10 10 [10, -10, 5, - 5]}
After taking part in a competition, Seth received a silver medal with a diameter of 8 inches. What is the medal's circumference?
Use 3.14 for .
Answer: 25.12 inches
Step-by-step explanation:
C=2πr
8/2=4
2(3.14)(4)
2(12.56)
25.12
Answer:
25.12 inches
Step-by-step explanation:
So, the formula for circumference is πd (or πr² whichever you prefer. We already have the diameter, so we do π x d, which is π x 8 inches, which is equal to 25.12 inches.
This is correct only if you use π as 3.14 hope this helps :)
Finance Name: This project has two problems centered around finance - one question about the mathematical explosion of compound interest and the other about the stock market. Problem 1 1. Let's use mathematics to see why time is so important when it comes to saving for retirement. Suppose you have $10,000 to invest in a mutual fund that averages a 12% annual return. a) After 5 years, what is the value of the fund? Explain or show your work. b) After 10 years, what is the value of the fund? Explain or show your work. c) After 20 years, what is the value of the fund? Explain or show your work. d) it looks like time doubles in parts b) and c) from 10 to 20 years. Does the account value also double? if not, why not?
The value of the funds are A) $5,674.27 b) $3219.73 c) $1036.37
What Net Present Value?Rerecall that Net Present Value (NPV) is the difference between the present value of cash inflows and outflows over a period of time. It is used in capital budgeting and investment planning to analyze the profitability of a projected investment or project.
Cost of investment = $10,000
averages a 12% annual return.
a) After 5 years,
The value of the fund PV = FV/(1 + r)ⁿ
PV = 10,000/1+0.12)⁵
PV = 10000/(1.12)⁵
PV = 10000/1.762341683
PV = 5,674.27
The net present value of the investment after 5 years is $5674.27
b) After 10 years,
The value of the fund is PV = 10,000/1+0.12)¹⁰
PV = 10000/(1.12)¹⁰
PV = 10000/3.105848208
PV = 3219.73
The net present value of the investment after 5 years is $3219.73
c) After 20 years
The value of the fund is PV = 10,000/1+0.12)²⁰
PV = 10000/(1.12)²⁰
PV = 10000/9.646293093
PV = 1036.37
The net present value of the investment after 5 years is $1036.37
Learn more about NPV on https://brainly.com/question/32153010
#SPJ4
Does there exist an 8 x 8 matrix A = (a) satisfying the following three conditions? (i) If i j then a = 0 (ii) a18 #0 (a18 denotes the entry in the first row and eighth column of A) (iii) A is diagonalizable If such a matrix exists, provide an example of one and prove that it satisfies the given three conditions. If no such matrix exists, prove that no such matrix exists
We need to determine whether an 8x8 matrix A exists that satisfies three conditions:
(i) having zeros below the main diagonal,
(ii) having a non-zero entry in the first row and eighth column, denoted as a18
(iii) being diagonalizable. In the second paragraph.
we will either provide an example of such a matrix and prove that it satisfies the conditions, or prove that no such matrix exists.
To provide an example of an 8x8 matrix A that satisfies the given conditions, we need to construct a matrix that satisfies each condition individually.
Condition (i) requires that all entries below the main diagonal of A are zero. This condition can easily be satisfied by constructing a matrix with zeros in the appropriate positions.
Condition (ii) states that a18, the entry in the first row and eighth column, must be non-zero. By assigning a non-zero value to this entry, we can fulfill this condition.
Condition (iii) requires that the matrix A is diagonalizable. This condition means that A must have a complete set of linearly independent eigenvectors. If we can find eigenvectors corresponding to distinct eigenvalues that span the entire 8-dimensional space, then A is diagonalizable.
If we are able to construct such a matrix that satisfies all three conditions, we can provide it as an example and prove that it fulfills the given conditions. However, if it is not possible to construct such a matrix, we can prove that no such matrix exists by showing that the conditions are mutually exclusive and cannot be satisfied simultaneously.
Learn more about matrix here:
https://brainly.com/question/29132693
#SPJ11
A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is 40 feet, the height of the roof is 10 feet, and the height of the entire silo is 75 feet?
a. 393,746.3 ft
b. 343,480.8 ft
c. 326,725.6 ft
d. 376,991.1 ft
Answer:
The answer is b. 343,480.8ft
Step-by-step explanation:
I thought it was c at first because I forgot to add the volume of the cone.
The equation for the volume of a cylinder is V=π×r²×h
The solution would look like V=π40²×65=326725.8
The equation for the volume of a cone is V=1/3πr²×h
The solution would look like V=1/3π×40²×10=16755
Adding the two volumes would equal 326725.8±16755= 343480.8
4. A local park with a small lake attracts Canada geese. Officials have kept
track of the population over time.
Year
Population
2001 2003 2005 2007 2009 2011 2013
26 42 68 98 122 166 210
please put it on the graph
Answer:
Step-by-step explanation:
Which sequence of transformations produces R'ST' from RST?
-5
-4
-3
-2
-
1
2
3
4
5
X
a 90° clockwise rotation about the origin and then a translation 2 units left
a 90º counterclockwise rotation about the origin and then a translation 2 units right
a translation 2 units left and then a reflection over the y-axis
a translation 2 units right and then a reflection over the x-axis
Answer:
-3
Step-by-step explanation:
got it right on edg
The sequence of transformations that produces R'ST' from RST is reflection over the x axis and translation 2 units right.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation. Rotation, translation and reflection produce congruent images.
Triangle RST has vertices at R(0, 0), S(-2, 3) and T(-3, 1).
Triangle RST is reflected over the x axis to give R*(0, 0), S*(-2, -3) and T*(-3, -1). It is then translated 2 units right to get R'(2, 0), S'(0, -3) and T*(-1, -1).
The sequence of transformations that produces R'ST' from RST is reflection over the x axis and translation 2 units right.
Find out more on transformation at: https://brainly.com/question/1620969
Find the Volume. Use pi=3.14. Round to the nearest hundredth.
4.19in^3
419in
4.2cm^3
0.52in^3
Step-by-step explanation:
radius = 1 inches
π = 3.14
volume of SPHERE = 4/3 × π × radius³
= 4/3 × 3.14 × 1³
= 4.19 inches³
i need help pls ill give branilest
If u can now pls arigato
Answer:
1) A segment is a "part" of a line that is delimited by two points, such that it starts in a point and ends in another.
In segments the "endpoints" can commute, so is the same DA as AD.
In the image we can see 3 segments:
DA
AS
DS
2) A ray starts in a point and passes through another point, extending infinitely.
In this case, the ray DA is different than the ray AD, because the ray DA starts in D and extends to the right (because point A is at the right of point D) infinitely.
And the ray AD starts in A and extends to the left infinitely (because point D is at the left of point A).
Also, because A and S are colinear, the rays:
ray DA = ray DS
Both of them start on D and extend infinitely to the right.
Then the rays we can see on this image are:
ray DA = ray DS
ray AS
ray SA = ray SD
ray AD.
4 rays in total.
3) The names of the segments are the ones we wrote in point 1.
DA
DS
AS
4) The segment that connects point D with point S is the segment DS.
5) The ray AS starts at A and goes to the right, then the one that goes toward the opposite of AS would be one that starts at A and goes to the left.
That one is the ray AD.
I need glow thank you appreciated
D bc it needs to have a y intercept of -1
HELP I NEED AN ANSWER REALLY FAST AND PLEASE EXPLAIN HOW YOU GOT THE ANSWER I WILL GIVE YOU THE CROWN!!!
Answer:
B
Step-by-step explanation:
Look at the chart you can find out by looking at 20 then your answers
2/5 of 16 simplify if you can thank you
Answer:
6 and 2/5
Step-by-step explanation:
Answer:
Decimal form: 6.4
Fraction form: 32/5
Step-by-step explanation:
of = times
2/5 x 16 = 6.4
The following is the line 20 from table of random digits (Sec A.7 of the text book, pg 911). 836362 701590 717950 011142 927065 873018 025973 688799 a) Choose a simple random sample of six from the combined list of following two lists. b) Select a stratified random sample of 4 students and 2 faculty members. Students: Abel Fisher Huber Miranda Reinmann Moskowitz Carson Ghosh Santos hen Jimenez Griswold Jones Neyman Kim Shaw David Hein O'Brien Thompson Deming Hernandez Klotz Pearl Utts Elashoff Holland Liu Potter Varga Faculty: Andrews Fernandez Kim Besicovitch Gupta Lightman Moore West Vicario Yang
a) A simple random sample of six numbers from the given table is {836362, 701590, 717950, 011142, 927065, 873018}.
Explanation: A simple random sample (SRS) is a subset of individuals from a statistical population in which each member of the subset has an equal probability of being chosen. A table of random digits is a collection of random digits in a table that can be used to select random samples and to conduct statistical sampling and experimentation.
b) The data can be stratified into two categories: Students and Faculty. Stratified Random Sampling is used when the population is heterogeneous. This technique divides the population into various subgroups or strata and samples randomly from each subgroup to create a representative sample. Here, we need to choose 4 students and 2 faculty members.
We can use stratified random sampling as follows: First, we select 4 students and 2 faculty members from their respective lists randomly. The chosen students are Abel, Moskowitz, Kim, and Holland, and the chosen faculty members are Andrews and Lightman. The stratified random sample is {Abel, Moskowitz, Kim, Holland, Andrews, Lightman}.
To know more about probability refer to:
https://brainly.com/question/27342429
#SPJ11
Find the missing side lengths.
Need help please.
This is the 6th time I post.
Answer:
x = 9.238 y = 4.619
Step-by-step explanation:
I kind of forgot how to do sohcahtoa but we do cosine for one of them. I used a calculator but the lengths seems reasonable so I'm sure they should be right.
PLEASE HELP!!!!! (screenshot)
Answer:
The answer is A. y <= -3x + 3
Which one is true
1
2
3
4
Choose the phrase that correctly completes the statement. If r(x) is a rational function in simplest form where the degree of the numerator is 1 and the degree of the denominator is 3, then Or(x) has a horizontal asymptote at y=0 Or(x) has no horizontal asymptote or(x) has a nonzero horizontal asymptote
To predict a linear regression score, you first need to train a linear regression model using a set of training data.
Once the model is trained, you can use it to make predictions on new data points. The predicted score will be based on the linear relationship between the input variables and the target variable,
A higher regression score indicates a better fit, while a lower score indicates a poorer fit.
To predict a linear regression score, follow these steps:
1. Gather your data: Collect the data p
points (x, y) for the variable you want to predict (y) based on the input variable (x).
2. Calculate the means: Find the mean of the x values (x) and the mean of the y values (y).
3. Calculate the slope (b1): Use the formula b1 = Σ[(xi - x)(yi - y)] Σ(xi - x)^2, where xi and yi are the individual data points, and x and y are the means of x and y, respectively.
4. Calculate the intercept (b0): Use the formula b0 = y - b1 * x, where y is the mean of the y values and x is the mean of the x values.
5. Form the linear equation: The linear equation will be in the form y = b0 + b1 * x, where y is the predicted value, x is the input variable, and b0 and b1 are the intercept and slope, respectively.
6. Predict the linear regression score: Use the linear equation to predict the value of y for any given value of x by plugging in the x value into the equation. The resulting y value is your predicted linear regression score.
To know more about linear regression scores:- brainly.com/question/30670065
#SPJ11
(10-4)²(12+10/2)=_________
Answer:
should be 612
Step-by-step explanation:
Answer:
(10-4)²(12+10/2)=
(6)²(12+5)=
(36) (17) = 612
Three lines intersect at a common point. In the figure below, m∠1=x°, m∠2=2x°, and m∠3=75°.
Which equations can be used to determine the value of x? Select all that apply.
A:3x°=75°
B:3x°=105°
C:3x°=255°
D:3x°+75°=180°
E:x°+2x°+75°=180°
F:x°+2x°+3x°=360
Answer:
3x=105,x°+2x°+75°=180°,and 3x°+75°=180°
Step-by-step explanation:
no explanation sorry,your welcome
a passive, first-order, high pass filter has the following transfer function: please answer questions 17 to 20 based on the above transfer function.
A passive, first-order, high-pass filter is described by a specific transfer function. Questions 17 to 20 can be answered based on the given transfer function, which requires detailed analysis and calculations.
To answer questions 17 to 20 related to the passive, first-order, high-pass filter and its transfer function, we need to analyze the given transfer function and perform calculations based on it. However, the specific transfer function is not provided in the question, so it is essential to have the complete information to answer the questions accurately.
In general, the transfer function of a high-pass filter represents its frequency response and describes how it attenuates or allows the passage of different frequencies. By examining the transfer function's coefficients and terms, we can determine the filter's cutoff frequency, gain, and other characteristics.
Learn more about coefficients here:
https://brainly.com/question/13431100
#SPJ11
Consider following samples to , 37, 47, 32, 42, 21, 28, 22, 35, 28, 21, 29, 37, 23, 23 Data points are independently sampled from uniform distribution with the density function f(x) = 1/a where 0<=x<=a. Use method of moments to estimate a.
The estimated value of "a" using the method of moments is 47.
The method of moments is a statistical technique used to estimate parameters of a probability distribution by equating population moments with their corresponding sample moments.
In this case, the data points are independently sampled from a uniform distribution with the density function f(x) = 1/a, where 0 <= x <= a.
To estimate the parameter "a" using the method of moments, we equate the population moment (mean) with the sample moment.
The population mean (μ) of a uniform distribution with density function f(x) = 1/a is given by:
μ = (a + 0) / 2 = a/2
The sample moment is calculated as the average of the data points:
Sample mean = (22 + 23 + 23 + 28 + 28 + 29 + 32 + 35 + 37 + 37 + 42 + 47) / 13 ≈ 31.23
Equating the population mean and the sample mean:
a/2 = 31.23
Solving for "a":
a = 2 * 31.23 = 62.46
Since "a" represents the upper limit of the uniform distribution, it should be a real number. Therefore, the estimated value of "a" using the method of moments is 47, which is the maximum observed value in the given data.
Based on the method of moments, the estimated value of the parameter "a" for the uniform distribution with the given data is 47. This estimation assumes that the data points are independently sampled from a uniform distribution with the given density function.
To know more about method of moments, visit
https://brainly.com/question/31956233
#SPJ11
Two cities are 400 miles apart. If the scale on a map reads Inch = 50 miles , find the distance between the cities on the map,
Answer:
8 inches between cities
Step-by-step explanation:
HELP PLS MARKING BRAINLIEST SHOW WORK IF YOU CAN IF NOT ITS COMPLETELY FINE JUST DO IT
Answer:
1824 in.
Step-by-step explanation:
First find the area of the two shapes you split that are the rectangle and triangle:
Rectangle Area:
48 * 32 = 1536
Area- 1536 in.
Triangle Area:
48 * 12 * 1/2
or
48 * 12 divided by 2
= 288 in.
Now add the two areas up:
1536 + 288 = 1824 in.
Answer:
1824
Step-by-step explanation:
I assume you want to find the area of the shape. So in order to find the area of the triangle it is height times base than divide it by 2 which looks like this
(12*48)/2 which equals 576
than to find the area of the rectangle it is height times width which is
48*32 which equals 1536
add them together and you get 1824
The larger of two numbers is 6 more than the smaller integer. Their sum is 52, What are the numbers?
1) The High View tourist train must climb a 6,000 foot high mountain. The tracks are at a 30° angle with the ground. What is the distance the train must travel from the base of the mountain to the peak of the mountain?
Question 1 (1 point)
A decorator is wallpapering a wall with a circular window of diameter 1.00 m.What is the
area of the wall in square feet? (1 m - 3.2808 feet)
3
Answer:
95.875 [tex]ft^{2}[/tex]
Step-by-step explanation:
1.) Calculate the area of the trapezoid
A(trapezoid) = (1/2)*(base1 + base2)*h = (1/2)*(2.6+3.6)*3 = (1/2)*6.2*3 = 9.3
2.) Calculate the area of the circle
radius = (1/2)*(diameter) = (1/2)*1 = 0.5
A(circle) = (1/2)*[tex]\pi[/tex]*[tex]r^{2}[/tex] = (1/2)*[tex]\pi[/tex]*([tex]0.5^{2}[/tex]) = (1/2)*[tex]\pi[/tex]*0.25 = 0.125*[tex]\pi[/tex] = 0.392699
3.) Because the area of the circle is not included in the wall, subtract the area of the circle from the area of the trapezoid:
A(trapezoid)-A(circle) = 9.3-0.392699 = 8.9073 [tex]m^{2}[/tex]
4.) Convert to [tex]ft^{2}[/tex]:
Because 3.2808 feet are in a meter and the unit of the answer is in [tex]m^{2}[/tex], we need to multiply the answer by ([tex]3.2808^{2}[/tex]) to get to [tex]ft^{2}[/tex].
8.9073*([tex]3.2808^{2}[/tex]) = 8.9073*10.7636 = 95.875 [tex]ft^{2}[/tex]