Answer:
180
Step-by-step explanation:
Answer:
D. 180°
I hope this helps!
Given that the long-term DPMO = 25137, what are the short-and long-term Z-values (process sigmas)?
A. LT = 1.96 and ST = 3.46
B. LT = 3.46 and ST = 1.96
C. LT = 4.5 and ST = 6.00
D. None of the above
The answer is D. None of the above, the long-term DPMO is 25137, which is equivalent to a Z-value of 3.46. The short-term Z-value is usually 1.5 to 2 times the long-term Z-value,
so it would be between 5.19 and 6.92. However, these values are not listed as answer choices. The Z-value is a measure of how many standard deviations a particular point is away from the mean. In the case of DPMO, the mean is 6686. So, a Z-value of 3.46 means that the long-term defect rate is 3.46 standard deviations away from the mean.
The short-term Z-value is usually 1.5 to 2 times the long-term Z-value. This is because the short-term process is more variable than the long-term process. So, the short-term Z-value would be between 5.19 and 6.92.
However, none of these values are listed as answer choices. Therefore, the correct answer is D. None of the above.
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Aubrey used
4
7
liter
7
4
literstart fraction, 4, divided by, 7, end fraction, start text, space, l, i, t, e, r, end text of paint for a mural in her room and
2
10
liter
10
2
literstart fraction, 2, divided by, 10, end fraction, start text, space, l, i, t, e, r, end text for a wall in her bathroom.
The total amount of paint Aubrey used is more than 1/2 liter but less than 1 liter
Estimating the total amount of paint Aubrey usedTo estimate the total amount of paint that Aubrey used for both the mural and the wall, we can add the fractions of paint used
So, we have
Total = 4/7 + 2/10
Evaluate the sum in decimals
This gives
Total = 0.77 (approximated)
This value is between 0.5 liters and 1 liter
Hence, the estimate is between 0.5 liters and 1 liter
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Complete question
Aubrey used 4/7 liter of paint for a mural in her room and 2/10 for a wall in her bathroom.
Determine a reasonable estimate for the total amount of paint Aubrey used
Answer: B or the one that is more than 1/2 but it is less than 1
Step-by-step explanation: Took quiz on khan
A country's populations in 2001 and 2010 are given below. Use this information and the exponential model A=P(1+r)
n
to find the growth rate for the country over this period. population (2001)=92 million; population (2010)=134 million The country's growth rate was approximately %. (Round to two decimal places as needed.)
By applying the exponential growth model and using the given population values for 2001 and 2010, we can solve for the growth rate of the country. Manipulating the equation and performing the necessary calculations, we find that the growth rate is approximately 5.49%.
To find the growth rate of the country over the period from 2001 to 2010, we can use the exponential growth model A = P(1 + r)^n, where A is the final population, P is the initial population, r is the growth rate, and n is the number of years.
Given the population in 2001 (P = 92 million) and the population in 2010 (A = 134 million), we need to find the value of r.
Plugging in the given values into the formula, we have:
134 million = 92 million(1 + r)^(2010 - 2001)
Simplifying the exponent:
(1 + r)^9
To isolate the term with the base (1 + r), we divide both sides of the equation by 92 million:
134 million / 92 million = (1 + r)^9
Simplifying the fraction:
1.4565 ≈ (1 + r)^9
Taking the ninth root of both sides of the equation:
(1 + r) ≈ 1.4565^(1/9)
Calculating the value of 1.4565 raised to the power of 1/9 gives us:
(1 + r) ≈ 1.0549
Subtracting 1 from both sides to isolate r:
r ≈ 1.0549 - 1
r ≈ 0.0549
Converting the growth rate to a percentage:
0.0549 * 100 ≈ 5.49%
Therefore, the country's growth rate over the period from 2001 to 2010 was approximately 5.49% (rounded to two decimal places).
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Aaron answered 7 out of 12 questions correctly on his last English quiz. Find his grade
to the nearest whole percent.
Answer:
Step-by-step explanation:
58%
7/12 into a percentage
7x+13=97 please hurry
Answer:
x+12
Step-by-step explanation:
7x+13=97
-13 -13
7x=84
/7 /7
x=12
access whether relationship status is significantly linked to pretreatment drug use in past week reports in this sample. please provide the statistical test used, the degrees of freedom, the value of this test, and the p-value.
To determine whether relationship status is significantly linked to pretreatment drug use in past week reports, a statistical test such as the chi-square test of independence can be used. The chi-square test evaluates the association between two categorical variables.
The degrees of freedom for the chi-square test of independence are calculated as (r - 1) * (c - 1), where r represents the number of rows and c represents the number of columns in the contingency table.
The value of the test statistic, chi-square (χ²), is computed based on the observed frequencies in the contingency table. The chi-square test evaluates whether the observed frequencies differ significantly from the expected frequencies under the assumption of independence.
The p-value associated with the chi-square test indicates the probability of obtaining the observed association between relationship status and pretreatment drug use in the past week by chance alone. A small p-value (typically less than 0.05) suggests a significant relationship between the variables.
To provide the specific degrees of freedom, test statistic value, and p-value, I would need access to the data and the contingency table. Without the data, it is not possible to generate the exact values for the statistical test. However, by conducting a chi-square test of independence using the available data, you can obtain the degrees of freedom, test statistic value, and p-value to assess the significance of the relationship between relationship status and pretreatment drug use.
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Calculate the Taylor polynomials T2(x) and T3(x) centered at x=3 for f(x)=ln(x+1).
T2(x) = ______
T3(x) = T2(x) + _____
The Taylor polynomials T2(x) and T3(x) centered at x=3 for f(x) = ln(x+1) are:
T2(x) = f(3) + f'(3)(x-3) + f''(3)\((x-3)^2\)
T3(x) = T2(x) + f'''(3)\((x-3)^3\)
To calculate these polynomials, we need to find the first three derivatives of f(x) = ln(x+1) and evaluate them at x=3.
First derivative:
f'(x) = 1/(x+1)
Second derivative:
f''(x) = \(-1/(x+1)^2\)
Third derivative:
f'''(x) = \(2/(x+1)^3\)
Now, let's evaluate these derivatives at x=3:
f(3) = ln(3+1) = ln(4)
f'(3) = 1/(3+1) = 1/4
f''(3) = \(-1/(3+1)^2\)= -1/16
f'''(3) = \(2/(3+1)^3\)= 2/64 = 1/32
Substituting these values into the Taylor polynomials:
T2(x) = ln(4) + (1/4)(x-3) - \((1/16)(x-3)^2\)
T3(x) = ln(4) + (1/4)(x-3) - (1/16)(x-3)^2 +\((1/32)(x-3)^3\)
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the product of 2 numbers is 1476. if the smaller number is 5 less than the bigger number. What's the bigger number?
Answer: 41
Step-by-step explanation:
36 x 41 = 1476
What is the volume of the rectangular prism? (4 points)a rectangular prism with a length of eight inches, a width of four inches, and a height of three inches
the volume of the rectangular prism is 96 cubic inches.To calculate the volume of a rectangular prism, we multiply the length, width, and height of the prism.
Given:
Length = 8 inches
Width = 4 inches
Height = 3 inches
The volume of the rectangular prism is calculated as follows:
Volume = Length × Width × Height
Substituting the given values:
Volume = 8 inches × 4 inches × 3 inches
Calculating the multiplication:
Volume = 96 cubic inches
Therefore, the volume of the rectangular prism is 96 cubic inches.
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Let a = [325345] and b = [592- find a least squares solution of ax=b
To find the least squares solution of the equation ax = b, where a is a vector [325345] and b is a vector [592], we can apply the method of least squares. the least squares solution for the given equation ax = b, where a = [325345] and b = [592], is x = b/a = [592/325345]. .
In the given equation ax = b, we have a vector a = [325345] and b = [592]. Since the equation is not solvable exactly (a vector cannot be divided by another vector), we seek a least squares solution. The least squares method finds the vector x that minimizes the difference between the left-hand side (ax) and the right-hand side (b) in a squared sense.
To solve for x, we set up a system of equations using the least squares approach. The goal is to minimize the residual, which is the difference between ax and b. We square each component of the residual and sum them up. This sum is called the residual sum of squares (RSS).
To find the least squares solution, we differentiate the RSS with respect to each component of x and set the derivatives to zero. Solving these equations yields the values of x that minimize the RSS. In this case, since a is a single-element vector, the least squares solution is simply x = b/a.
Thus, the least squares solution for the given equation ax = b, where a = [325345] and b = [592], is x = b/a = [592/325345].
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what is the slope of (-1,1)
The slope of the line passing through the points (-1, 1) and (1, 1) is 0.
To find the slope of a line passing through two given points, we can use the slope formula:
m = (y2 - y1) / (x2 - x1),
where (x1, y1) represents the coordinates of the first point, and (x2, y2) represents the coordinates of the second point.
Using the given points (-1, 1) and (1, 1), we can substitute the values into the formula:
m = (1 - 1) / (1 - (-1)).
Simplifying further:
m = 0 / (1 + 1).
m = 0 / 2.
m = 0.
A slope of 0 indicates a horizontal line. In this case, the line is perfectly flat, and its y-coordinate remains constant (1) for any x-value.
Visually, you can imagine the two points (-1, 1) and (1, 1) lying on a straight line that is parallel to the x-axis. The line does not slope upward or downward but remains at the same y-coordinate value, indicating a slope of 0.
It's important to note that a slope of 0 implies a constant change in the y-coordinate regardless of the change in the x-coordinate.
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The question probable may be:
What is the slope of the line passing through the points ( - 1 , 1) and ( 1 , 1) ?
Find the duration of an 6% coupon bond making semiannual coupon payments with a par value of $1,000 if it has three years until maturity and a 10% yield to maturity. (10) When the market interest rate was 6 percent, you purchased a 10-year, 8 percent coupon (semiannual coupon payments) bond with a Macaulay duration of 7.29 years. The par value of this bond is $1,000. If the market interest rate decreases by 50 basis points from the previous level, what is the percentage change in the bond's price using the duration concept?
The percentage change in the bond's price using the duration concept is approximately 0.03645, or 3.645%.
To calculate the percentage change in the bond's price using the duration concept, we can use the following formula:
Percentage Change in Bond Price = - (Duration * Change in Yield)
Given:
Duration = 7.29 years
Change in Yield = -0.005 (50 basis points decrease)
Using the formula, we can calculate the percentage change in the bond's price:
Percentage Change in Bond Price = - (7.29 * (-0.005))
Percentage Change in Bond Price = 0.03645
Therefore, the percentage change in the bond's price using the duration concept is approximately 0.03645, or 3.645%.
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Help me solve this please
Answer:
a
Step-by-step explanation:
thats not how u find the lengths
What is the number of solutions in this system?
one solution
•
no solution
infinitely many solutions
There ought to be infinitely many solutions.
How many solutions can a system of 3 linear equations with 5 variables have?
There are infinitely many solutions. Assuming the 3 linear equations are linearly independent you have 2 free variables that can be chosen freely and depending on those two values you can find the 3 remaining variables as function of those two so for any choice of those two variables you can find a solution. If the equations are not linearly independent you have effectively only 1 or two equations so you can pick 4 or 3 variables freely and then the remaining variable or variables are function of these.
How do you solve a system of equations with 3 variables?
Simultaneous equations. Easy, if they are all linear. Possibly difficult otherwise. Basically pick 1 variable and 1 equation to rearrange so that variable is expressed in terms if the other 2. Then simplify. Now you have 2 equations in 2 variables. Repeat with the remaining 2 variables. When you have solved for the last variable, you can then substitute to solve for the second last. Then backtrack to the original substitution and solve that. General advice that works even for nonlinear equations.
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Do u know this? Answer if u do
Answer: 2(x+7)(x+2)
Step-by-step explanation:
2x² + 18x +28 >Take out the Greatest Common Factor 2
2( x² + 9x +14) >Find 2 numbers that multiply to the 3rd
term, +14, and adds to +9.
+7 and +2 add to +14 and add to +9
Put +7 and +2 into factored form
2(x+7)(x+2) >Don't forget the 2 that you factored out in
beginning
Whats the solution X3=9
Answer:
x=2.080084
Step-by-step explanation: take cube root
Answer:
Forgive me if i am incorrect but i am pretty sure if i am not mistaken x=3*3=9
Step-by-step explanation:
When you look at it x is attach to the 3 thus making it multiplication but you would have to do the opposite. Which is division so 9 divide by 3 is 3.
Hope this help you
How many times as heavy is the Golden Eagle as the Northern bald eagle??
Golden Eagle: 13 9/10
Northern Bald Eagle: 9 9/10
Red-Tailed Hawk:3 1/2
Answer:
1.4 times as heavy?
Step-by-step explanation:
consider a symmetric matrix a. if the vector v is in the image of a and w is in the kernel of a, is v necessarily orthogonal to w?
Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A.
Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A. This is due to the fact that for any symmetric matrix A, the image (column space) and kernel (null space) are orthogonal subspaces. Since v is in the image of A and w is in the kernel of A, their dot product must be zero, indicating orthogonality.
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Solve for x. Round your answer to the nearest tenth and type it in the blank without units.
The opposite side of the right triangle (x) is approximately 6.888 inches long.
Right angle triangleTo solve this problem, we can use the trigonometric ratio for the sine function, which is opposite/hypotenuse. We have the hypotenuse as 12 inches and the opposite angle as 35 degrees, so we can set up the equation:
sin(35) = opposite/12
To solve for the opposite, we can multiply both sides by 12:
opposite = 12 * sin(35)
sin(35) as approximately 0.574:
opposite = 12 * 0.574
opposite ≈ 6.888
Therefore, the opposite side of the right triangle (x) is approximately 6.888 inches long.
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CAN SOMEBODY PLS HELP ME
Answer:
5
Step-by-step explanation:
The constant of proportionality k is calculated as
k = \(\frac{gallons}{time}\)
Then
k = \(\frac{5}{1}\) = \(\frac{10}{2}\) = \(\frac{15}{3}\) = \(\frac{35}{7}\) = \(\frac{50}{10}\) = 5
Answer:
the constant of proportionality in the table is 5.
Step-by-step explanation:
the answer is 5 because 1 x 5 = 5 ,2 x 5=10 , 3 x 5 = 15 , 7 x 5 = 35, and 10 x 5 = 50.
Assume that the following equations characterize a large open economy: (1) Y = 5,000 (2) Y = C + I + G + NX (3) C = 1/2 (Y – T) (4) I = 2,000 – 100r (5) NX = 500 – 500€ (6) CF =-100r (7) CF = NX (8) G= 1,500 (9) T = 1,000 where NX is net exports, CF is net capital outflow, and e is the real exchange rate. Solve these equations for the equilibrium values of C,1,NX, CF,r, and ε. (Hint: You can reduce the total number of equations to two through repeated substitutions. These two equations will be functions of r and ε. Check your work by seeing that all of these equations balance, given your answers.)
We have derived the following equations:
(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε
To solve the given equations for the equilibrium values of C, NX, CF, r, and ε, let's go step by step.
First, we'll substitute equations (2), (3), (4), (5), (6), (7), (8), and (9) into equation (2) to eliminate the variables C, I, G, NX, CF, and T.
Equation (2) becomes:
Y = (1/2)(Y - T) + (2,000 - 100r) + 1,500 + (500 - 500ε)
Next, let's simplify the equation:
Y = (1/2)(Y - 1,000) + 2,000 - 100r + 1,500 + 500 - 500ε
Distribute (1/2) to the terms inside the parentheses:
Y = (1/2)Y - 500 + 2,000 - 100r + 1,500 + 500 - 500ε
Combine like terms:
Y = (1/2)Y + 3,500 - 100r - 500ε
Now, let's isolate Y by subtracting (1/2)Y from both sides:
(1/2)Y = 3,500 - 100r - 500ε
Multiply both sides by 2 to get rid of the fraction:
Y = 7,000 - 200r - 1,000ε
We now have one equation (10) in terms of Y, r, and ε.
Next, let's substitute equation (1) into equation (10) to solve for Y:
5,000 = 7,000 - 200r - 1,000ε
Subtract 7,000 from both sides:
-2,000 = -200r - 1,000ε
Divide both sides by -200:
10 = r + 5ε
This gives us equation (11) in terms of r and ε.
Now, let's substitute equation (11) into equation (5) to solve for NX:
NX = 500 - 500ε
Substitute r + 5ε for ε:
NX = 500 - 500(r + 5ε)
Simplify:
NX = 500 - 500r - 2,500ε
This gives us equation (12) in terms of NX, r, and ε.
Finally, let's substitute equation (12) into equation (6) to solve for CF:
CF = -100r
Substitute 500 - 500r - 2,500ε for NX:
CF = -100(500 - 500r - 2,500ε)
Simplify:
CF = -50,000 + 50,000r + 250,000ε
This gives us equation (13) in terms of CF, r, and ε.
To summarize, we have derived the following equations:
(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε
These equations represent the equilibrium values of Y, r, ε, NX, and CF in the given open economy.
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U7L2 Cool Down
The measure of the arc from B to A not passing through C is 26 degrees.
1. What is the measure of angle BOA ?
2. What is the measure of angle BDA?
3. What is the measure of angle BCA ?
degrees
degrees
degrees
Using the inscribed angle theorems, the measure of the indicated angles are:
1. m∠BOA = 26°
2. m∠BDA = 13°
3. m∠BCA = 13°
What is the Inscribed Angle Theorems?Based on the inscribed angle theorem, the following relationships are established:
Inscribed angle = 2(measure of intersected arc)Central angle = measure of intersected arcGiven:
Intercepted arc BA = 26°
1. ∠BOA is central angle
Thus:
m∠BOA = 26° (inscribed angle theorems)
2. ∠BDA is inscribed angle.
m∠BDA = 1/2(30) = 13° (inscribed angle theorems)
3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)
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The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growth is constant, write a linear equation with an integer slope to represent p, Laredo’s population t years after 1990.
The equation of population of Laredo, Texas is :
- \(p=\frac{92500}{17}t+123000\)
"Population Growth"Given:
t = the number of years after 1990.So, for 1990, t = 0. So the coordinate is (0, 123000).For 2007, t = 17. So the coordinate is (17, 215500).Using point slope formula:
point slope= \(\frac{p-123000}{t-0point slope=\frac{215500-123000}{17-0}\\\frac{p-123000}{t}point slope=\frac{92500}{17}\\p-123000point slope=\frac{92500}{17}t\\ppoint slope=\frac{92500}{17}t+123000\)Learn more about "population growth":
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What is the linear function equation that best fits the data set? 1) y = -2x + 5. 2) y = 2x + 5. 3) y = -1/2x + 5. 4) y = 1/2x - 5.
Without specific information about the data set, it is not possible to determine which equation is the best fit.
To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.
However, I can provide a general explanation of the four options:
y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.
y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.
y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.
y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.
Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.
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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow.
7 7 3 8 4 4 4 5 5 5 5 4 9
10 9 9 8 10 4 5 4 10 10 10 11 4
9 7 5 4 4 5 5 4 3 10 10 4 4
8 7 7 4 9 5 9 4 4 4 4
Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places.
The 95% confidence interval estimate of the population mean rating for Miami International Airport is approximately 5.50 to 6.74 (rounded to two decimal places).
To develop a 95% confidence interval estimate of the population mean rating for Miami International Airport, we can use the sample data provided. Here are the steps to calculate the confidence interval:
Step 1: Calculate the sample mean and sample standard deviation (s) from the given ratings.
Step 2: Determine the critical value (t*) for a 95% confidence level. Since the sample size is small (n = 50), we need to use the t-distribution. The degrees of freedom (df) will be n - 1 = 50 - 1 = 49.
Step 3: Calculate the standard error (SE) using the formula: SE = s / √n, where n is the sample size.
Step 4: Calculate the margin of error (ME) using the formula: ME = t* * SE.
Let's proceed with the calculations:
Step 1: Calculate the sample mean and sample standard deviation (s).
Sample ratings: 7 7 3 8 4 4 4 5 5 5 5 4 9 10 9 9 8 10 4 5 4 10 10 10 11 4 9 7 5 4 4 5 5 4 3 10 10 4 4 8 7 7 4 9 5 9 4 4 4 4
Sample size (n) = 50
Sample mean = (Sum of ratings) / n = (306) / 50 = 6.12
Sample standard deviation (s) = 2.18
Step 2: Determine the critical value (t*) for a 95% confidence level.
Using a t-distribution with 49 degrees of freedom and a 95% confidence level, the critical value (t*) is approximately 2.01.
Step 3: Calculate the standard error (SE).
SE = s / √n = 2.18 / √50 ≈ 0.308
Step 4: Calculate the margin of error (ME).
ME = t* * SE = 2.01 * 0.308 ≈ 0.619
Step 5: Construct the confidence interval.
Confidence Interval = 6.12 ± 0.619
Lower bound = 6.12 - 0.619 ≈ 5.501
Upper bound = 6.12 + 0.619 ≈ 6.739
The 95% confidence interval estimate of the population mean rating for Miami International Airport is approximately 5.50 to 6.74 (rounded to two decimal places).
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1+(2/3)-(-9/2)
i don't understand this and i need help
Answer:
6.167
Step-by-step explanation:
1 + 2/3 - (-9/2)
1 + 2/3 + 9/2
Taking LCM (1 x 2 x 3)
6/6 + 4/6 + 27/6
6 + 4 + 27/6
37/6
6.167 Ans
How does sample size affect t-value?
The standard normal distribution can roughly statistic estimate the t-value for small sample sizes, though it grows less sensitive to changes in sample size for large sample sizes.
Test statistic: What is it?The test statistic for something akin to a Z-test has been the Z-statistic, which shows the usual normal null hypothesis to be correct. Suppose you perform a 2 X y test with a 0.05 threshold of significance and, based on your data, you obtain a 2.5 R t (also defined as a Z-value). 0.0124 is the p-value for the this Z-value.
Here,
When the population size is small (typically less than 30) or when it is unclear what the population standard deviation will be, the t-value is a statistical measure that is used to determine the statistical significance of a difference of the two means.
This is so that there will be less sampling error and more accurate information the about population provided by the bigger sample size. As the sample size grows, the t-distribution gets more constrained and resembles the average more closely.
In conclusion, the t-value tends to rise as sample size rises, indicating the increased accuracy of the sample mean.
The standard normal distribution can roughly estimate the t-value for small sample sizes, though it grows less sensitive to changes in sample size for large sample sizes.
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During what ten-year period did the average age increase the most? a. from 1970 to 1980 b. from 1980 to 1990 c. from 1910 to 1920 d. from 1940 to 1950
During from 1980 to 1990 ten-year period did the average age increase the most
What is age ?Age is the duration of something's existence or being alive.
East Asian age calculation, a method of calculating age in Asia that begins at 1
Getting older, also referred to as aging,
Senescence, the age-related progressive decline in biological function
human advancement (biology)
Periodization, the division of history into clearly delineated chronological periods with names,
The stages of human existence on Earth as described by Greek mythology and its later Roman interpretation are known as the "Ages of Man."
Age before time
the given name age
Aage is the pen name of Italian screenwriter Agenore Incrocci.
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Answer:
5/2
Step-by-step explanation:
We first find the equation of the line. The slope-intercept form of a line is y = mx + b, where b is the y-intercept and m is the slope. We already know the y-intercept, which is (0,5). Therefore, our current equation is:
y = mx + 5.
We use (0,5) and (1,3) to find the slope. We subtract the two y-coordinates, 5 - 3 = 2. We subtract the x-coordinates, 0 - 1 = - 1. The slope is given as rise/run, which is (y-coordinate difference)/(x-coordinate difference. Thus, the slope is 2/-1, which is just -2. Now, we put -2 in place of m:
y = -2x + 5.
The x-intercept is when the y-coordinate is equal to 0. So we substitute 0 for y:
0 = -2x + 5
-5 = -2x
x = 5/2
Simplify this expression 9Y+z
Answer:Nothing further can be done with this topic. Please check the expression.
Step-by-step explanation: