Answer:
Do u like m&m because I do
HELPP!!!!! HURRY!!!! Function g(x) = |x − 9| is a transformation of function f(x) = |x|. What effect does the value 9 have on the graph of function f? A. It translates the graph 9 units to the left. B. It translates the graph 9 units to the right. C. It vertically compresses the graph by a factor of 9. D. It vertically stretches the graph by a factor of 9.
Answer:
C
Step-by-step explanation:
Answer:
B: It translates the graph 9 units to the right.
Step-by-step explanation:
The value 9 has the effect of translating the graph of function f(x) = |x| 9 units to the right. This is because the transformation g(x) = |x - 9| is obtained from f(x) = |x| by subtracting 9 from the argument of the absolute value function. This has the effect of shifting the graph of f(x) to the right by 9 units.
Therefore, the correct answer is B: It translates the graph 9 units to the right.
What is ab as shown in the attached question
Answer:
(c) -42
Step-by-step explanation:
You want the product ab given that ...
f(x) = 3x³ +ax² -5x +7g(x) = -3x⁴ +2x³ +3x² +bx +12(f+g)(x) = -3x⁴ +5x³ +9x² -12x +19Comparing coefficientsThe function (f+g)(x) is the sum of the other two functions. For the purpose here, we only need to look at terms that involve 'a' and 'b'.
Comparing coefficients of x², we have ...
ax² +3x² = 9x²
a = 9 -3 = 6
Comparing coefficients of x, we have ...
-5x +bx = -12x
b = -12 +5 = -7
The product is ...
ab = (6)(-7) = -42
A chi-square test of independence is used when both variables are ___.Group of answer choices a. ratio b. ordinal c. interval d. nominal
For statement 'A chi-square test of independence is used when both variables are ___.'
b. ordinal
d. nominal
In this question we have been given a statement 'A chi-square test of independence is used when both variables are ___.'
We need to select the correct choices for the given statement.
We know that the Chi-Square Test of Independence is used to test if two categorical variables are associated.
It is a nonparametric test.
It can only compare categorical variables.
The categorical variables are classified as nominal and ordinal variables.
Chi-Square Test is used to test for a statistically significant relationship between nominal and ordinal variables.
Therefore, for a chi-square test of independence is used when both variables ordinal and nominal.
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Hellllllp meeee please
Answer: 3
Step-by-step explanation: schoology whack
This problem reads as follows:Use cylindrical coordinates to evaluate E = This problem reads as follows: Use cylindricax2 dV, where E is the solid that lieswithin the cylinder x2 + y2 = 9, above theplane z = 0, and below the conez2 = 36x2 + 36y2Similar to 16.8 #11 in James Stewart Calculus 5thedition.
As per the cylindrical coordinate, the value of E is (0, 2π/5)
In math, coordinates refers the set of values that show an exact position.
Here we have given that x² + y² = 9, above the plane z = 0, and below the cone z² = 36x² + 36y²
And we need to find the value of E.
While we looking into the given question, we have identified that in cylindrical coordinates the region E is described by
=> 0 ≤ r ≤ 1, 0 ≤ θ ≤ 2π, and 0 ≤ z ≤ 2r.
Here the given equation will go through the double integral, then we get,
=> ∫∫∫ₓ x² dV
And it can be rewritten based on the differentiation,
=> ∫₂⁰ ∫¹₀ ∫²₀ (r cos θ)² r dz dr dθ
=> ∫₂⁰ cos² θ dθ
=> ∫¹₀ 2r⁴ dr = 2π/5
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A recipe uses 1 1/4 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made using 2 gallons of milk?
Answer:
what we cookin ma boi
Step-by-step explanation:
study smarter a scatterplot of versus shows a positive, nonlinear association. two different transformations are attempted to try to linearize the association: using the logarithm of the -values and using the square root of the -values. two least-squares regression lines are calculated, one that uses to predict and the other that uses to predict which of the following would be the best reason to prefer the least-squares regression line that uses to predict
The best reason to prefer the least-squares regression line that uses to predict is the Standard Deviation of the residuals is smaller.
Least Squares Regression:
Least squares is a mathematical technique that allows analysts to determine the best way to fit a curve to a graph of data points. It is commonly used to make scatterplots easier to interpret and is associated with regression analysis. Least squares is now available as part of most statistical software programs.
There are two least-squares regression lines, one to predict log(y) using x and the other to use for prediction.
a. A small value of means that the variance is explained poorly compared to the model that predicts instead, and thus the model is a poorer model. Therefore, there is no compelling reason to choose a model that predicts logic in.
b. If the standard deviation of the residuals is not too high, there will be less variability between the actual and predicted values, and thus the model will be more accurate. Therefore, there are compelling reasons to favor a model that predicts.
C. The magnitude of the slope has no effect on whether a model is good or bad, so it's not the best reason to favor a model that expects log y and x.
d. The presence of more random variation in the number of residuals does not necessarily indicate a superior model. The reason for this is that the variation between the expected and actual values is large, which can lead to large variability. This means that there is no compelling reason to prefer a model that uses to predict log y. It is normal that the distribution of residuals of residuals does not affect model quality. As a result, this is not the best reason.
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If the slant height of a triangular face of a square based pyramid of side
16cm is 17cm, find the volume of the pyramid.
Answer must be 1280 cube cm
Answer:
1280 cm³
I presume you are looking for the solution steps and these are below
Step-by-step explanation:
If the each side of the square pyramid is 16 and the slant height is 17, then the height of the pyramid, half the side and the slant edge form a right triangle.
The height of the pyramid can be computed using the Pythagorean theorem
Let a be each side, h the height and s the slant height
[tex]s^2 = h^2 + (a/2)^2\\\\\\s^2 = h^2 + \dfrac{a^2}{4}\\\\\textrm{Plugging in known values,}\\17^2 = h^2 + \dfrac{16^2}{4}\\\\289= h^2 + 64\\\\h^2 = 289 - 64\\\\h^2 = 225\\\\h = \sqrt{225} = 15\\\\[/tex]
The volume, V of a square pyramid of side a and height h is given by the formula:
[tex]V = \dfrac{1}{3}a^2h\\\\\\\textrm{Plugging in values,}\\\\V = \dfrac{1}{3}\cdot 16^2 \cdot 15\\\\[/tex]
[tex]V = \dfrac{1}{3} \cdot 256 \cdot 15\\\\V = 256 \cdot 5\\\\V = 1280[/tex]
The volume of the pyramid is 1280 cubic cm.
Given the slant height of the pyramid is 17 cm and the length of square base of the pyramid is 16 cm.
Now we know the volume of the pyramid with a square base = [tex]\frac{1}{3}[/tex]×area of the base×height.
So we need the values for area of the base and height of the pyramid.
Area of the square base=16×16 sq. cm.= 256 sq. cm.
Again we can apply the relation to find the value of height,
(Slant height)² = (Height)² + ([tex]\frac{1}{2}[/tex]×Length of the base)²
So, putting the values we get,
[tex](17)^2 = (height)^2 +(\frac{16}{2})^2[/tex]
⇒ [tex]289 = (height)^2+64[/tex]
⇒ [tex](height)^2= 225[/tex]
⇒ [tex]height = 15cm[/tex]
Now by appyling the volume of the pyramid we get,
Volume = [tex]\frac{1}{3} \times 256 \times 15[/tex] cubic cm. = 1280 cubic cm.
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consider having two jars with numbers 1,23. find the probability of drawing two numbers from both the jars whose product is even
The probability of drawing two numbers from both jars whose product is even = 5/9.
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
Total number of outcomes =9
Favorable cases = (1,2), (2,1), (3,2), (2,3), (2,2)
The probability of drawing two numbers from both the jars whose product is even = 5/9
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subtract and reduce to lowest terms
Answer:
Below
Step-by-step explanation:
To add or subtract fractions ( or numbers with fractions in them) you HAVE to put the fractions into a common denominator form .....
Common denominator for 5 and 7 is 35
3 3/7 = 120/35
2 1/5 = 77/35
120/35 - 77/35 = ( 120 - 77) / 35 = 43/35 = 1 8/35
Find the terminal point on the unit circle determined by 11π/6 radians. Use exact values, not decimal approximations.
The terminal point on the unit circle use exact values are,
( x , y ) = ( [tex]\sqrt{\frac{3}{2} }[/tex] , - [tex]\frac{1}{2}[/tex] )
Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.
According to the question, it is provided that,
θ = 11π/6 radians
Now,
x = 1.cos(11π/6)
x = cos(11π/6)
x = cos(330°)
x = [tex]\sqrt{\frac{3}{2} }[/tex]
y = 1.sin(11π/6)
y = sin(11π/6)
y = -0.5
y = - [tex]\frac{1}{2}[/tex]
Then,
( x , y ) = ( [tex]\sqrt{\frac{3}{2} }[/tex] , - [tex]\frac{1}{2}[/tex] )
These two represents the terminal points
To find the terminal positions, we merely used the aforementioned equations, equated these two equations, and concluded that the same should be taken into consideration.
It could be figure out by using the x and y points
Therefore
The terminal point on the unit circle use exact values are,
( x , y ) = ( [tex]\sqrt{\frac{3}{2} }[/tex] , - [tex]\frac{1}{2}[/tex] )
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Parallel and Perpendicular lines Block
By observing the figure we can make the pairs as
∠1 ≅ ∠3 ---------(Opposite angles)
∠2 ≅ ∠4 ---------(Opposite angles)
∠5 ≅ ∠7 ---------(Opposite angles)
∠6 ≅ ∠8 ---------(Opposite angles)
∠4 ≅ ∠6 ---------(Alternate angles)
∠3 ≅ ∠5 ---------(Alternate angles)
What are opposite angles and Alternate angles?
Opposite angles are angles that are located opposite each other, with respect to a straight line or a transversal. They are also called vertically opposite angles.
Alternate angles are angles that are located on opposite sides of the transversal and on the same side of the straight line or the transversal. They are also called corresponding angles.
In the given figure,
By observing the opposite angles and alternate angles we can fill the blocks,
∠1 ≅ ∠3 ---------(Opposite angles)
∠2 ≅ ∠4 ---------(Opposite angles)
∠5 ≅ ∠7 ---------(Opposite angles)
∠6 ≅ ∠8 ---------(Opposite angles)
∠4 ≅ ∠6 ---------(Alternate angles)
∠3 ≅ ∠5 ---------(Alternate angles)
Hence, we have found the opposite angles and alternate angles from the figure.
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Which functions have a vertex with a x-value of 0? Select three options.
Of(x) = |x|
f(x) = x + 3
f(x) = 1x + 31
f(x) = 1x1-6
Of(x) = x + 31-6
The functions that have a vertex at x = 0 are (a) f(x) = |x| and (d) f(x) = |x| - 6
How to determine the function from the vertexFrom the question, we have the following parameters that can be used in our computation:
The absolute functions in the options
As a general rule;
A absolute functions can be represented as
f(x) = a|x - h| + k
Where
Vertex = (h, k)
A vertex that has x value of 0 means
(h, k) = (0, k)
So, we have
f(x) = a|x - 0| + k
Evaluate
f(x) = a|x| + k
Looking at the options, we have
f(x) = |x| and f(x) = |x| - 6
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14. Which of these statements correctly describes the function y = 4x + 9?
A. It is not a linear function, and its graph is not a straight line.
B. It is a linear function, but its graph is not a straight line.
C. It is not a linear function, but its graph is a straight line.
D. It is a linear function, and its graph is a straight line.
Answer:
Step-by-step explanation:
because there is no change in slope. The graph will always be strait in this
What is the freezing point, in C, of a 2.75 m solution of C8H18 in benzene?
The freezing point of the 2.75 m solution of octane in benzene is -8.56 °C.
The freezing point of a solution is the temperature at which the solution becomes a solid. The freezing point of a solution is lower than the freezing point of the pure solvent because the solute particles interfere with the movement of the solvent molecules, which slows down the freezing process.
To determine the freezing point of a solution, we can use the freezing point depression equation:
ΔTf = Kf x molality
where ΔTf is the change in freezing point, Kf is the freezing point depression constant for the solvent, and molality is the concentration of the solute in the solution expressed in moles of solute per kilogram of solvent.
To find the freezing point of a 2.75 m solution of C8H18 (octane) in benzene, we need to know the freezing point depression constant for benzene, which is 5.12 °C/m. We can then use the equation above to calculate the change in freezing point:
ΔTf = 5.12 °C/m x 2.75 m = 14.06 °C
To find the freezing point of the solution, we need to subtract the change in freezing point from the freezing point of the pure solvent. The freezing point of pure benzene is 5.5 °C, so the freezing point of the 2.75 m solution of octane in benzene is:
5.5 °C - 14.06 °C = -8.56 °C
This means that the freezing point of the 2.75 m solution of octane in benzene is -8.56 °C. At this temperature, the solution will become a solid.
13.
Graph f(x)=4x(1/2)^x
start by plugging values for x into the function
a) f(1) = 4 (1/2)^1
f(1) = 2
the first coordinate point is (1,2)
b) f(0) = 4(1/2)^0
f(0) = 4
(0,4)
this method will help you find the coordinate points and where to plot.
The cost of a plumber consists of two parts: the fixed costs and the hourly rate.
One piece of work takes the plumber 5 hours and costs £155.
Another piece of work takes the plumber 8 hours and costs £230.
(a) i) What is the fixed cost of the plumber?
ii) What is the hourly rate for the plumber?
The fixed cost of the plumber is £30 and the hourly rate for the plumber is £25.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Let the fixed cost of a plumber is y.
Let the number of hours of work done be x.
As per the first condition, that one piece of work takes the plumber 5 hours and costs £155.
Then, the equation according to the statement will be,
y + 5x = £155 (i)
In the second condition, another piece of work takes the plumber 8 hours and costs £230.
Then, the equation according to the statement will be,
y + 8x = £230 (ii)
Now, subtract equation (ii) from the equation for the value of x,
y + 5x = £155
y + 8x = £230
-3x = -75
x = £25
Put x = £25 in equation (i)
y + 5x = £155
y + 5(25) = 155
y = 155 - 125
y = £30.
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Graph the system below and write its solution.
x-2 y=2
y={1}/{2} x-3
Note that you can also answer "No solution" or "Infinitely many" solutions.
The required answer for the given system of linear equations is No solution.
What is a system of linear equation?
A system of linear equations comprises two or more linear equations made up of two or more variables so that all equations in the system are considered simultaneously. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation. As a result, we are able to formulate linear equations with n variables.
Solve for the first variable in one of the equations, then substitute the result into the other equation, we will get
No solution
The graph of the given system of linear equations is given below
Hence, the required answer for the given system of linear equations is No solution.
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can someone help i will give brainlest:)
A. Width = 16.5 ft B.Width = 55.25 ft
Height = 9.3 ft Height = 91 ft
Area = 153.45 ft² Area = 5027.75 ft²
The formula for Area of rectangle:The area of the rectangle is a place covered by a rectangle in a 2D plane
The formula for Area of the rectangle is given by
Area = Length × WidthHere we have
1 in = 3 feet and 1 cm = 6.5 ft
Calculation for rectangle A :
In rectangle A
Width = 5.5 in
=> Width in feet = 5.5 × 3 feet = 16.5 ft
Height = 3.1 in
=> Height in feet = 3.1 × 3 feet = 9.3 ft
By the given formula
Area = 16.5 ft × 9.3 ft = 153.45 ft²
Calculation for rectangle B :
In rectangle B
Width = 8.5 cm
=> Width in feet = 8.5 × 6.5 feet = 55.25 ft
Height = 14 cm
=> Height in feet = 14 × 6.5 feet = 91 feet
By the given formula
Area = 55.25 ft × 91 ft = 5027.75 ft²
Therefore,
A. Width = 16.5 ft B. Width = 55.25 ft
Height = 9.3 ft Height = 91 ft
Area = 153.45 ft² Area = 5027.75 ft²
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A set of data items is normally distributed with a mean of 300 and a standard deviation of 60. Why’d the data item in this distribution that corresponds to the given z-score
Z= 2.5
The data item that corresponds to the z-score of 2.5 is 450.
What is Standard deviation?
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.
A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance. Although less robust in practice, it is algebraically easier than the average absolute deviation. The fact that the standard deviation is expressed in the same unit as the data, as opposed to the variance, makes it a valuable statistic.
As, x = z×s + u, where z=2.5, s=60, u=300
⇒ x = 2.5×60 + 300
⇒ x = 150 + 300
⇒ x = 450
The data item that corresponds to the given z-score is 450.
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Rather than being irrelevant or unhelpful, residuals in a simple linear regression model can be quite informative. Which of the following, in your opinion, residuals might indicate about the underlying population and the model?
Regression analysis will indicate about the underlying population and the model.
It is one of the most used and most powerful multivariate statistical techniques for it infers the existence and form of a functional relationship in a population. Once you learn how to use regression, you will be able to estimate the parameters { the slope and intercept } of the function that links two or more variables. With that estimated function, we will be able to infer or forecast things like unit costs, interest rates, or sales over a wide range of conditions.
Though the simplest regression techniques seem limited in their applications, statisticians have developed a number of variations on regression that greatly expand the usefulness of the technique. And again, the t-distribution and F-distribution will be used to test hypotheses.
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The Stock Market Alexander is a stockbroker. He earns 13% commission each week. Last week, he sold $7,500 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011? PLS HELP
$50,700 he make in commission in 2011.
How to calculate the commission?According to the commission rate, a commission is a proportion of all sales. Multiply the commission rate by the total sales to get the commission on a sale. Recall to convert the commission rate from a percent to a decimal first, just as we did for computing the sales tax.%Earns= 13% commission/week
Last week sold = $7,500
In order to obtain the last week earns in commission we need to multiply % rate of commission by the last week sold as shown as follows:
$Earns = 0.13 (decimal form)*$7,500
Earns = $975
Last week, he made $975 in commission.
If he averages that same amount each week, he should make $975* 52(number of weeks per year) = $50,700/year
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URGENT PLEASE ANSWER
Answer:
y = 371.17×1.15^x1135 in month 8Step-by-step explanation:
You want an exponential regression function for the data in the table.
a. Exponential regressionA regression function of most any kind can be found using a graphing calculator or spreadsheet. The attachment shows the function is approximately ...
y = 371.17 × 1.15^x
where y is the number sold, and x is the month.
b. Number soldUsing x=8, the predicted number sold for month 8 is ...
y = 371.17 × 1.15^8 ≈ 1135.4175 ≈ 1135
Sales for month 8 will be about 1135.
I’m confused on this question
Answer: 3 of the squares should go down then 8 to the right.
Step-by-step explanation:
it just wants you to say how it was translated so take the corresponding points like p and p’ then count of many tiles it move to the right and then down to get from p to p’ you’ll see that it’s 8 right and 3 down.
hope this helps!
A side of the equilateral triangle 'A' is twice the length of a side of
another equilateral triangle 'B'. How many triangles of 'B' will fit
into triangle 'A'?​
Total four triangles of B fit into triangle A as length of the equilateral triangle A is twice the length of triangle B.
As given in the question,
Types of triangles : Equilateral triangle
Number of triangle = 2
Triangle A and Triangle B
Let 'x' be the length of the triangle A
And 'y' be the length of the triangle B
As per given condition:
x = 2y
Area of equilateral triangle A = (√3/4)x²
Area of equilateral triangle B = (√3/4)y²
Now x = 2y
⇒Area of equilateral triangle A = (√3/4)(2y)²
⇒Area of equilateral triangle A = (√3/4)4y²
⇒Area of equilateral triangle A = 4 [(√3/4)y²]
⇒Area of equilateral triangle A = 4 ( area of equilateral triangle B)
Therefore, total number of four equilateral triangle of B fit into equilateral triangle A.
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Describe the slope of the line.
The slope is positive
Find the slope
m=_______
The equation of the line that passes through the point (0, 3) & (0, 4) and the slope of the equation is undefined.
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
To write the equation of a line in slope-intercept form (y = mx + b), we need to find the slope of the line (m) and the y-intercept (b).
To find the slope of the line, we can use the slope formula:
m = (y2 - y1)/(x2 - x1)
The line on the graph passes through points (0, 3) & (0, 4).
m = (4-3)/(0-0)
m = 1/0
m = ∞
so, the slope is undefined.
Therefore, the equation of the line that passes through the point (0, 3) & (0, 4) and the slope of the equation is undefined.
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Cylinders A and B are similar solids. The base of cylinder A has a circumference of 47 units. The base of cylinder B
has an area of 97 units.
The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?
+/a N/mm/~ alt
The factor that produces the corresponding dimensions of cylinder B is: 3/2.
What are Similar Solids?Similar solids have the same shape but different sizes, and which means the ratio of their corresponding linear measurements are the same.
How to Find the Scale Factor of Similar Solids?To find the scale factor of similar solids, you can use the formula:
scale factor = (size of the similar solid) / (size of the original solid)
For example, if you have two similar solids, one with a volume of 64 cubic units and the other with a volume of 16 cubic units, the scale factor would be:
scale factor = (16 cubic units) / (64 cubic units) = 1/4
This means that the smaller solid is 1/4 the size of the larger solid.
Given the following:
Circumference of the base of cylinder A = 4π units [the radius = 2 units]
Area of the base of cylinder B = 9π units² [the radius = 3 units]
Scale factor = radius of the base of cylinder B / radius of the base of cylinder A
Scale factor = 3/2
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Complete Question:
Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4π units. The base of cylinder B has an area of 9π units. The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?
two different two-digit whole numbers are selected at random. what is the probability that their product is less than 200. express your answer as a common fraction. (hints: (l) there are 90 different two-digit numbers, (2) the pair {10, 11} produces the smallest product and the pair {11, 18} produces the largest product less than 200).
The probability that the product of the two two-digit numbers is less than 200 is given as follows:
43/8010.
How to calculate the probability?A probability is calculated as the division of the number of desired outcomes in the context of the experiment by the number of total outcomes.
There are 90 different two-digit numbers, hence the number of total outcomes for the product is of:
90 x 89 = 8010.
(the numbers have to be different)
The desired outcomes which result in a product of less than 200 are of given as follows:
10 multiplied by 9 numbers, from 11 to 19.11 multiplied by 10, 12, 13, 14, 15, 16, 17, 18. (8 numbers).12 multiplied by 10, 11, 13, 14, 15, 16. (6 numbers).13 multiplied by 10, 11, 12, 14, 15 (5 numbers).14 multiplied by 10, 11, 12, 13. (4 numbers).15 multiplied by 10, 11, 12, 13. (4 numbers).16 multiplied by 10, 11, 12. (3 numbers).17 multiplied by 10, 11. (2 numbers).18 multiplied by 10, 11. (2 numbers).Hence the number of desired outcomes is given as follows:
9 + 8 + 6 + 5 + 4 + 4 + 3 + 2 + 2 = 43.
Meaning that the probability is of:
43/8010.
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In an analysis of variance problem involving 3 treatments and 10 observations per treatment, SSE = 399.6. The MSE for this situation is which?
133.2
13.32
14.8
30.0
If in an analysis of variance problem involving 3 treatments and 10 observations per treatment, S S E = 399.6. The M S E for this situation is C. 14.8.
How to find the sample variance?We would be making use of this formula to find or determine the MSE which is the variance within the sample.
MSE = S S E / r (c-1)
Where:
MSE represent variance within the sample = ?
SSE represent sum of the squares of error = 399.6
r represent 3 treatment
c represent observation per treatment = 10
Let plug in the formula so as to know the variance within the sample (MSE )
Sample variance ( MSE ) = 399.6 /3 (10 - 1 )
Sample variance ( MSE ) = 399.6 / 3 (9)
Sample variance ( MSE ) = 399.6 / 27
Sample variance ( MSE ) = 14.8
Therefore we can conclude that the correct option is C which is 14.8.
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The area of a rectangle is 35 m², and the length of the rectangle is 3 m more than double the width. What is the dimensions of the rectangle?
The dimensions of the rectangle with area 35 m² is
length = 7.6 m and width = 4.6 m
How of find the dimension of the rectangleThe dimension of the rectangle is calculated using the formula for area of rectangle
= length x width
where
length = 3 + w width = warea of rectangle
35 = (w + 3) * w
35 = w² + 3w
w² + 3w - 35 = 0
solving for w gives
w = 4.6 OR -7.6
using the positive value, the w = 4.6 m, l = 4.6 + 3 = 7.6 m
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