Answer:
Scale factor of 2
Step-by-step explanation:
The base legnth of the after image is 8 and the original base legnth is 4 so 8/4=2
Suppose a survey of 979 business owners found that more than ought . which part of the survey represents the descriptive branch of statistics? make an inference based on the results of the survey.
Women make up 64% of the sample and are typically the household's main investment.
There is a correlation between American women and being the main provider in their home.
What is Descriptive Statistics?Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.
For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.
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The correct question is - Suppose a survey of 580 women in the United States found that more than 64% are the primary investor in their household. Which part of the survey represents the descriptive branch of statistics? Make an inference based on the results of the survey.
How do you find eigenvalues and eigenvectors step by step?
Eigenvalues and eigenvectors can be calculated using these steps:
Start with a square matrix A.Solve the characteristic equation det(A - λI) = 0 to find the eigenvalues (λ).For each eigenvalue, solve the system of equations (A - λI)x = 0 to find the corresponding eigenvectors (x).To find the eigenvalues and eigenvectors of a square matrix A, we follow a systematic process. Firstly, we consider the matrix A. Next, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix of the same size as A, and λ represents the eigenvalues we seek. The characteristic equation is formed by subtracting the eigenvalue (λ) times the identity matrix (I) from matrix A and taking its determinant. Solving this equation will give us the eigenvalues.
Once we have the eigenvalues, we proceed to find the corresponding eigenvectors. For each eigenvalue λ, we need to solve the system of equations (A - λI)x = 0, where x is the eigenvector associated with that eigenvalue. This system of equations is homogeneous, and we aim to find non-zero solutions for x. This can be done by row-reducing the augmented matrix (A - λI|0) and solving for x.
After repeating this process for each eigenvalue, we obtain the set of eigenvalues and their corresponding eigenvectors for the matrix A. These eigenvalues represent the scalars by which the eigenvectors are scaled when the matrix A operates on them.
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CAN SOMEONE PLS HELP MEE
Two triangles are graphed in the xy-coordinate plane.
Which sequence of transformations will carry △QRS
onto △Q′R′S′?
A. a translation left 3 units and down 6 units
B. a translation left 3 units and up 6 units
C. a translation right 3 units and down 6 units
D. a translation right 3 units and up 6 units
Answer:
the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.
Step-by-step explanation:
What is the length of CD? in this diagram ABC ~ EDC
Answer & Step-by-step explanation:
These triangles are similar. This means that they are going to have the same ratios within their different sides.
AC and CE already have measurements so we are going to find the ratio between them. We can do this by dividing 21 by 7.
21 / 7 = 3
So, since the ratio between AC and CE is 3, then the rest of the triangle has a ratio of 3 with the other triangle.
So, let's set up an equation so we can find the value of x.
21/7 = (20 - x)/x
Cross multiply.
21x = 140 - 7x
Add 7x to both sides of the equation.
28x = 140
Divide 28 from 140.
x = 5
Now that we have the value of x, then we can find the measurement of CD.
The measurement of CD is 5.
Answer:
5
Step-by-step explanation:
a-p-e-x
Pleaseee helppp answer correctly !!!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
A child is given an allowance of $1.25 per day for chores. The parent says they will increase the allowance by 75 cents per day after a month. What is the percent increase the child receives
A child is given an allowance of $1.25 per day for chores. The parent says they will increase the allowance by 75 cents per day after a month. So, The child receives a 60% increase in their daily allowance.
To find the percent increase in the child's allowance, follow these steps:
1. Determine the initial allowance amount: $1.25 per day
2. Determine the new allowance amount after the increase: $1.25 + $0.75 = $2.00 per day
3. Calculate the difference between the new and initial allowance amounts: $2.00 - $1.25 = $0.75
4. Divide the difference by the initial allowance amount to find the decimal value of the percent increase: $0.75 / $1.25 = 0.6
5. Convert the decimal value to a percentage: 0.6 x 100 = 60%
The child receives a 60% increase in their daily allowance.
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Please help!
A restaurant sells tea for
$1.50 per drink. The cost of drinks, F(d), can be found by using the function F(d) = 1.5d. If the restaurant sells no more
than $150 in drinks in a day, what is a reasonable domain and range
Thank you!
Domain:
Range:
Answers:
Domain is \(0 \le d \le 100\)
Range is \(0 \le F(d) \le 150\)
==============================================
Explanation:
The most money made from selling drinks is $150. Divide this over the cost per drink to get 150/(1.50) = 100; indicating that at most 100 drinks are sold per day. This is the largest that d can get because d represents the number of drinks sold.
The smallest d can get is d = 0 to mean that no drinks are sold.
In short: d is between 0 and 100, including both endpoints. We write \(0 \le d \le 100\) to indicate this. This is the domain because the domain represents all the possible inputs allowed.
---------------------------------------------------
The range is the set of allowed outputs.
If we plugged in d = 0, then you would find F(d) = 0 as well. If you don't sell any drinks, then you earn $0. This is the smallest item in the range.
On the other side of things, the largest item in the range is 150 because this value was given to us. It's the upper limit or ceiling value of how much money is made from drinks. You can also find this by plugging d = 100, the largest domain value, into the function to get F(d) = 150.
Therefore the range is \(0 \le F(d) \le 150\) to indicate that F(d) is between 0 and 150 inclusive of both endpoints.
find the cardinal # of the following set. assume the pattern continuesThe cardinal number of {x?x = 1, 2, 3, ..., 94) is
The number of elements in a set is the cardinal number of the set
Here the number starts from 1 and continues till 94. So there are 94 numbers. Thus, the cardinal number of the set (1,2,3....94) is 94. The cardinal number of an empty set is 0.
Find the average rate of change of f(x) = -11√x + 14 over the interval [-10, -9].
Write your answer as an integer, fraction, or decimal rounded to the nearest tenth. Simplify
any fractions.
The average rate of change of f(x) = -11√x + 14 over the interval [-10, -9]. is 0.7
What is the average rate of change?The average Rate of Change of the function f(x) can be calculated as;
\(f(x) = \dfrac{f(b) - f(a)}{b-a}\)
We have been given the function as; f(x) = -11√x + 14 over the interval [-10, -9].
i.e. a = -10 and b = -9
Therefore, f(x) = -11√x + 14
f(-9) = -11√(-9) + 14
f(-9) = -33 + 14
f(-9) = -19
Also, f(-10) = -11√(-10) + 14
f(-10) = - 34.7 + 14
f(-10) = 20.7
Now, substitute the values;
\(f(x) = \dfrac{f(b) - f(a)}{b-a}\\f(x) = \dfrac{f(-9) - f(-10)}{-9+ 10}\\f(x) = \dfrac{-19-20.7}{1}\\f(x) = 0.7\)
Hence, the average rate of change of f(x) = -11√x + 14 over the interval [-10, -9]. is 0.7
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How come the inverse of the function:f(x)=-3 cube root of 4x is -x^2/4?
The correct inverse of the function \(f(x) = -3\sqrt[3]{4x}\) is \(f^{-1}(x) = \frac{-x^3}{108}\), not \(-\frac{x^2}{4}\).
To find the inverse of a function, we usually follow the steps of swapping the variables and solving for the new dependent variable. Let's apply these steps to the function \(f(x) = -3\sqrt[3]{4x}\) to find its inverse.
1. Swap the variables:
Swap \(x\) and \(y\) to obtain \(x = -3\sqrt[3]{4y}\).
2. Solve for the new dependent variable:
Start by isolating the cube root term:
\[\frac{x}{-3} = \sqrt[3]{4y}\]
Next, cube both sides to eliminate the cube root:
\[\left(\frac{x}{-3}\right)^3 = (4y)\]
Simplify and solve for \(y\):
\[\frac{x^3}{-27} = 4y\]
\[y = \frac{-x^3}{108}\]
Hence, the inverse of the function \(f(x) = -3\sqrt[3]{4x}\) is \(f^{-1}(x) = \frac{-x^3}{108}\), not \(-\frac{x^2}{4}\). It seems there might have been an error in the given answer.
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difference between compounded annually, monthly and daily.
Answer:
With monthly compounding, the bank will calculate interest on your account just once per month. It will not update your balance on a daily basis when it calculates how much interest it owes you. Assuming that the APR is the same, accounts with monthly compounding offer a lower APY than accounts with daily compounding.
what is 222 times 5
no explanation please
Answer:
1110
Step-by-step explanation:
Hey there!
222 multiplied by 5 is 1110.
You can also use a calculator to find that out haha!
Have a wonderful day!
Inga divided two identical rectangles into equal parts. She colored one part of each rectangles
Divisions of the rectangle will be equal apart from the color Inga assign.
What is a rectangle?A rectangle is a two-dimensional shape that has four sides and four right angles. The opposite sides are parallel and equal in length. The area of a rectangle can be calculated by multiplying the length of the rectangle by its width.
Here,
Since the rectangles are identical, they would have the same area and thus, the same divided parts. Therefore, the areas of the colored parts would also be equal.
Thus, divisions of the rectangle will be equal apart from the color Inga assign.
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Sussex County received 43 inches of
rainfall this year. The percent error in the
local meteorologist's rainfall prediction
was about 18.02%. What are two
possible values for the meteorologist's
prediction?
Two possible values for the meteorologist's prediction are $35.24$ inches and $50.76$ inches.
Let's denote the meteorologist's rainfall prediction by x.
The percent error can be calculated using the formula:
percent error = |(actual value - predicted value) / actual value| x 100%
We can use this formula to set up an equation and solve for x.
Since we want to find two possible values for x, we can use both the positive and negative versions of the percent error:
18.02% = |(43 - x) / 43| x 100% or
-18.02% = |(43 - x) / 43| x 100%
We have to find the values of x
18.02% = |(43 - x) / 43| x 100%
0.1802 = |(43 - x) / 43|
0.1802 x 43 = |43 - x|
7.7566 = |43 - x|
43 - x = 7.7566 or 43 - x = -7.7566
x = 35.2434 or x = 50.7566
Therefore, two possible values for the meteorologist's prediction are $35.24$ inches and $50.76$ inches.
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A college cafeteria wants to know which lunch food is least popular. Which of the following groups should be interviewed to ensure that the survey results will not be misleading?
A. students who go out for lunch
B. students who bring their lunch
C. students who eat in the cafeteria
D. students’ families
Answer:
c. students who eat in the cafeteria
Step-by-step explanation:
it wouldnt help to include people who dont eat the food and therefore wont have an honest opinion about the food. They have to talk to the people who do eat the food, which are those who eat in the cafeteria
how many integers between 100 and 999, inclusive, have the property that some permutation of its digits is a multiple of 11 between 100 and 999? for example, both 121 and 211 have this property. (2017amc10a problem 25) (a) 226 (b) 243 (c) 270 (d) 469 (e)
226 integers are present between 100 and 999, inclusive, and have the property that some permutation of its digits is a multiple of 11 between 100 and 999. Hence, option A is the correct option.
The problem statement is to find the number of multiples of 11 between 100 and 999 inclusive, where some multiples may have digits repeated twice and some may not.
To solve this problem, we can first count the number of multiples of 11 between 100 and 999 inclusive, which is 81. Some of these multiples may have digits repeated twice, and each of these can be arranged in 3 permutations. Other multiples of 11 have no repeated digits, and each of these can be arranged in 6 permutations. However, we must account for the fact that switching the hundreds and units digits of these multiples also yields a multiple of 11, so we must divide by 2, giving us 3 permutations for each of these multiples.
Thus, we have a total of 81 × 3 = 243 permutations. However, we have overcounted because some multiples of 11 have 0 as a digit. Since 0 cannot be the digit of the hundreds place, we must subtract a permutation for each of these multiples. There are 9 such multiples (110, 220, 330, ..., 990), yielding 9 extra permutations. Additionally, there are 8 multiples (209, 308, 407, ..., 902) that also have 0 as a digit, yielding 8 more permutations.
Therefore, we must subtract these 17 extra permutations from the total of 243, giving us 226 permutations in total. Hence, option A is the correct option.
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The first two angles in a triangle are 90 degrees and 50 degrees. What does the third angle have to be?
A. 20 degrees
B. 40 degrees
C. 50 degrees
D. 90 degrees
Answer:
B) 40 degrees
Step-by-step explanation:
90 + 50 = 140
Each triangle have 180 °
180 - 140 = 40
A tv show had 3.6 x 104 viewers in the first week and 4.1 x 104 viewers in the second week. determine the average number of viewers over the two weeks and write the final answer in scientific notation. 3.85 x 104 7.7 x 104 3.85 x 108 7.7 x 108
The average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8. option C
Scientific notationFirst week = 3.6 x 10⁴Second week = 4.1 x 10⁴Average number of viewers over the two weeks = (First week + Second week) / 2
= {(3.6 x 10⁴) + (4.1 x 10⁴)} / 2
= {3.6 + 4.1 × 10^(4×4) } / 2
= (7.7 × 10^16) / 2
= 3.85 × 10^8
Therefore, the average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8.
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A quantity p varies jointly with r and s. Which expression represents the constant of variation, k?
prs
StartFraction p Over r s EndFraction
StartFraction r s Over p EndFraction
p + r + s
Answer:
\(\boxed{k=\frac{p}{r \ s} }\)
Second option is correct.
Step-by-step explanation:
We have been given that p varies jointly with r and s.
Thus, we can write it mathematically as
\(p=krs\)
Here, k is the constant of variation.
Now, we have to find the value of k.
Divide the above equation by rs
\(\dfrac{p}{r \ s}=\dfrac{kr\ s}{rs}\)
\(k=\dfrac{p}{r s}\)
Hence, the value of k is \(k=\dfrac{p}{r s}\)
Second option is correct.
Answer:
B
Step-by-step explanation:
edge 23
Find the value of x needed to make the equation below true. 1.5(2x-4)=2(4x+2)
Answer:
x= -2
Step-by-step explanation:
1.5(2x-4)=2(4x+2)
3x-6=8x+4
-5x=10
x= -2
How many solutions are there to the equation x1 x2 x3 x4 17?
There are 1140 solutions for the equation x1+x2+x3+x4=17.
What is Combination?
The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant."
There is a 1-1 correspondence between the solutions and re-orderings of 17 ones and 3 zeros that match exactly, with x1 denoting the number of ones before the first zero, x2 denoting the number of ones in between the first and second zeros, x3 denoting the number of ones in between the second and third zeros, and x4 denoting the number of ones following the third zero.
So, the number of solutions is -
\(\begin{equation}\left(\begin{array}{c}20 \\3\end{array}\right)\\=\frac{20!}{3!}\\=1140\end\)
Therefore, the number of solutions for the equation is 1140.
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How many solutions are there to the equation x1+x2+x3+x4=17?
A healthy human heart beats about 1,533,000 times in a year. A sparrow's heart beats about
241,776,000 times in a year.
About how many times faster does the sparrow's heart beat compared to the human heart?
Estimate using a single digit times a power of 10.
2x108
or about 100 times faster
2x10
=1 x 102
0 2x10°
2x106
= 1 x 103
or about 1,000 times faster
2x108
2x105
=1 103
or about 1,000 times faster
2x109
2x105
=1 104
or about 10,000 times faster
Answer:
About 100 times faster
=1 x 10²
Step-by-step explanation:
Estimate using a single digit times a power of 10.
We approximate to the nearest whole number
A healthy human heart beats about 1,533,000 times in a year.
= 1.533 × 10⁶
As a single digit = 2.0 × 10⁶
A sparrow's heart beats about
241,776,000 times in a year.
= 2.41776 × 10⁸
As a single digit = 2 × 10⁸
About how many times faster does the sparrow's heart beat compared to the human heart?
We find the difference in their powers of 10
= ( 10^8 - 6)
= 10²
This means the sparrows heart beats at about
1 × 10² or a 100 times faster
which term best describes the vertex , relative maximum or relative minimum
The standard form of a quadratic equation is:
\(y=a(x-h)^2+k\)in this equation the vertex is (h,k). Moreover, if a>0 the parabola opens upward and vertex is a reletive minimum; if a<0 the parabola opens downward and the vertex is a maximum.
In this case the vertex is (-2,-1) and since a=1/3 then this is a minimum of the parabola.
For the basic function f(x) = x, which conclusion can you not make about f(x) and 0.5f(x)?
- The distance between the y-intercepts is 0.5
- The function f(X)is twice as steep as 0.57(x)
- The function 0.57(x) is linear
- Both functions pass through the origin
Answer:
B f(x) twice as narrow
Step-by-step explanation:
T=4m^2 - 11 Work out the value of T when m = -3
Answer: T=25
Step-by-step explanation:
T=4m^2 -11
We know that m= -3
-3^2 = 9
So the equation is T=4 (9) -11
T = 36 -11
T= 25
The sum of the square of a number and 15 is the same as eight times the number. What are the numbers?
Let us represent the unknown number by x.
From the problem statement, it is given that the sum of the square of the number (x²) and 15 is the same as eight times the number (8x).
Thus, the equation becomes:
x² + 15 = 8x
To find the solution, we need to first bring all the terms to one side of the equation:
x^2-8x+15=0
Next, we need to factorize the quadratic expression:
x^2-3x-5x+15=0
x(x-3)-5(x-3)=0
(x-3)(x-5)=0
From the above equation, x = 3 or x = 5.
Therefore, the two numbers are 3 and 5 respectively.
The numbers are 3 and 5.
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What is the solution (ordered pair) for the graph ?
Answer:
(2,0)
Step-by-step explanation:
Hi, I believe the answer is (2,0). The solution of the two equations are represented by their intersection. By finding that point, at when x is 2, and y 0, you can find the solution. Hope this helps!
You can also find the equations of the lines, then find the solution of them, but that's slower than the previous method.
A freight forwarder has a weekly consolidated service Mumbai - Marsellle, with direct costs as follows: Ocean freight: US \( \$ 1,250.00 / 40-\mathrm{ft} \) standard container. Container loading in Mu
The correct answers are: 1. Total revenue for this consolidation: $750,000.00. 2. Total costs for this consolidation: $201,162.22. 3. Profit/loss on this consolidation: $548,837.78.
To calculate the total revenue, costs, and profit/loss for the consolidation, we need to break down the given information and perform the necessary calculations. Let's go step by step:
1. Calculate the total revenue:
The cargo is charged based on revenue tons, so we need to convert the volume of cargo loaded (30 m³) and the weight (20,000 kg) into revenue tons.
- Volume: 30 m³
To determine the revenue tons, we'll assume the cargo is loaded to its maximum capacity of 40 m³ in a 40-ft standard container. We can calculate the revenue tons using the formula: Revenue Tons = (Volume Loaded / Maximum Volume) * Weight
Revenue Tons = (30 m³ / 40 m³) * 20,000 kg
Revenue Tons = 0.75 * 20,000 kg = 15,000 kg
- Weight: 20,000 kg
Since the weight is already in kilograms, we can directly use this value.
Now, we can calculate the total revenue:
Total Revenue = Revenue Tons * Selling Rate per Revenue Ton
Total Revenue = 15,000 kg * $50.00/kg (assuming the selling rate is $50.00 per revenue ton)
Total Revenue = $750,000.00
Therefore, the total revenue for this consolidation is $750,000.00.
2. Calculate the total costs:
We need to consider the costs of ocean freight, container loading in Mumbai, and Marseille unloading.
- Ocean Freight:
The cost of ocean freight per 40-ft standard container is given as $1,250.00.
Since the cargo loaded is less than the maximum capacity, we'll consider only a fraction of the cost based on the loaded volume:
Ocean Freight Cost = (Volume Loaded / Maximum Volume) * Ocean Freight Cost per Container
Ocean Freight Cost = (30 m³ / 40 m³) * $1,250.00
Ocean Freight Cost = 0.75 * $1,250.00 = $937.50
- Container Loading in Mumbai:
The cost of container loading in Mumbai is given as $10.00 per revenue ton.
Container Loading Cost = Weight * Cost per Revenue Ton
Container Loading Cost = 20,000 kg * $10.00/kg = $200,000.00
- Marseille Unloading:
The cost of Marseille unloading is €10.00 per revenue ton, but we need to convert it to USD using the given exchange rate.
Exchange Rate = €1.00 = $1.06
Marseille Unloading Cost = (Weight / 1,000) * Cost per Revenue Ton * Exchange Rate
Marseille Unloading Cost = (20,000 kg / 1,000) * €10.00/kg * $1.06/€
Marseille Unloading Cost = 20 * €10.00 * $1.06 = €212.00
Converting to USD: €212.00 * $1.06 = $224.72
Now, we can calculate the total costs:
Total Costs = Ocean Freight Cost + Container Loading Cost + Marseille Unloading Cost
Total Costs = $937.50 + $200,000.00 + $224.72
Total Costs = $201,162.22
Therefore, the total costs for this consolidation amount to $201,162.22.
3. Calculate the profit/loss:
Profit/Loss = Total Revenue - Total Costs
Profit/Loss = $750,000.00 - $201,162.22
Profit/Loss = $548,837.78
Therefore, the profit/loss on this consolidation is $548,837.78.
Note: The complete question is:
A freight forwarder has a weekly consolidated service Mumbai - Marseille, with direct costs as follows:
Ocean freight: US $1,250.00/40-ft standard container.
Container loading in Mumbai: US $10.00 per revenue ton.
Marseille unloading: €10.00 per revenue ton.
Exchange rate is = €1.00 US $1.06.
From past experience, the marketing department has determined that they need to load 40 m³ of cargo in a 40-ft standard container to break even and be able to sell to their customers an all-inclusive rate of US $50.00 per revenue ton.
Based on the above shipment details, answer the following scenario: Last week they loaded 30 m³, 20000 kg in their consolidation.
1: What was their total revenue for this consolidation? Select one answer.
2: what were their total costs for this consolidation?
3: what was the profit /loss on this consolidation?
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When assumptions MLR.I through MLR.5 are satisfied and the sample size is large, we know what the distribution of Bi-81 gc(8;) is at least _ pproximately: The statement is true_ The statement is false'
The statement is true. When assumptions MLR.I through MLR.5 (which stand for the classical linear regression assumptions) are satisfied and the sample size is large, we can reasonably assume that the distribution of the estimated coefficients, denoted as Bi-hat (with i being the index for each coefficient and h indicating the specific regression model), is approximately normal.
In linear regression, the estimated coefficients (Bi-hat) represent the slopes of the regression line and capture the relationship between the independent variables and the dependent variable. When assumptions MLR.I through MLR.5 are satisfied, which include linearity, independence, homoscedasticity, no perfect multicollinearity, and normality of errors, the ordinary least squares (OLS) estimators used to obtain the Bi-hat values are unbiased and have desirable statistical properties.
One of these properties is that, under the conditions of the assumptions being satisfied and the sample size being large, the sampling distribution of the Bi-hat coefficients is approximately normal. This result is derived from the central limit theorem, which states that when independent random variables are summed or averaged, their distribution tends toward a normal distribution. As a result, we can use normal distribution-based inference methods, such as constructing confidence intervals and conducting hypothesis tests, for the estimated coefficients. Therefore, the statement is true, indicating that the distribution of Bi-hat coefficients is at least approximately normal when the assumptions are met and the sample size is large.
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Find g(f(x))
f(x) = -2x^2
g(x) = 3x -1
SHOW YOUR WORK
Answer:
-6x^2-1
Step-by-step explanation:
Find value
f(x)=-2x^2. g(x)=3x-1. Find g(f(x))
Solution:
f(x)=-2x2
g(x)=3x-1
g(f(x))=?
f(x)=-2x2,g(x)=3x-1,gof(x)=?
gof(x)=g(f(x))
Solution:
f(x)=-2x2
g(x)=3x-1
g(f(x))=?
f(x)=-2x2,g(x)=3x-1,gof(x)=?
gof(x)=g(f(x))
=g(-2x2)
=3⋅(-2x2)-1
=-6x2-1
gof(x)=-6x^2-1