consider the following data sets: variable a: 5 3 5 5 4 8 variable b: 3 1 1 4 2 1 calculate the sample covariance.
Answers
The required sample covariance of the given sample is (C) -0.20.
What is sample covariance?The link between two random variables from the sample is measured using sample covariance, which uses a smaller sample of the population.
Working with huge populations, such as in long-term medical studies or stock investment tools, makes this statistic helpful.
So, the number of samples is:
n = 6
Then, the mean of x:
[tex]\begin{aligned}\bar{x} & =\frac{\sum x}{n} \\& =\frac{30}{6} \\& =5\end{aligned}[/tex]
The mean of y:
[tex]\begin{aligned}\bar{y} & =\frac{\sum y}{n} \\& =\frac{12}{6} \\& =2\end{aligned}[/tex]
The sample covariance:
[tex]{Cov}(x, y)=\frac{\sum\left(x_i-\bar{x}\right)\left(y_i-\bar{y}\right)}{n-1}\\\begin{aligned}& =\frac{-1}{5} \\& =-0.20\end{aligned}[/tex]
Therefore, the required sample covariance of the given sample is (C) -0.20.
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Correct question:
Consider the following data set: Variable 1: 5 3 5 5 4 8 Variable 2: 3 1 1 4 2 1
The sample covariance for this data set is ?
a). 2.30
b). -0.20
c). 0.65
d).-1.77
Related Questions
1. write the joint probability mass function of y1 y2 yn. hint: all the answers should be functions of
Answers
The probability values are obtained as -
P(X + Y > 3) = 0.45
P(XY = 2) = 0.10
P(XY > 1) = 0.55
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.
The joint probability mass function XX and YY is given as -
p(1,1)=0.45p(2,1)=0.05p(3,1)=0.05p(1,2)=0.05p(2,2)=0.1p(3,2)=0.1p(1,3)=0.05p(2,3)=0.05p(3,3)=0.1p(1,1)=0.45p(1,2)=0.05p(1,3)=0.05p(2,1)=0.05p(2,2)=0.1p(2,3)=0.05p(3,1)=0.05p(3,2)=0.1p(3,3)=0.1.
The first operation is -
P(X + Y > 3)
Substitute the values in the equation -
P(X + Y > 3) = P(3,1) + P(2,2) + P(3,2) + P(1,3) + P(2,3) + P(3,3)
P(X + Y > 3) = 0.05 + 0.1 + 0.1 + 0.05 + 0.05 + 0.1
P(X + Y > 3) = 0.45
Therefore, the value is obtained as 0.45.
The second operation is -
P(XY = 2)
Substitute the values in the equation -
P(XY = 2) = P(2,1) + P(1,2)
P(XY = 2) = 0.05 + 0.05
P(XY = 2) = 0.10
Therefore, the value is obtained as 0.10.
The third operation is -
P(XY > 1)
Substitute the values in the equation -
P(XY > 1) = 1 - [P(XY ≤ 1)]
P(XY > 1) = 1 - [P(1,1)]
P(XY > 1) = 1 - 0.45
P(XY > 1) = 0.55
Therefore, the value is obtained as 0.55.
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The joint probability mass function of XX and YY is given by
p(1,1)=0.45p(2,1)=0.05p(3,1)=0.05p(1,2)=0.05p(2,2)=0.1p(3,2)=0.1p(1,3)=0.05p(2,3)=0.05p(3,3)=0.1p(1,1)=0.45p(1,2)=0.05p(1,3)=0.05p(2,1)=0.05p(2,2)=0.1p(2,3)=0.05p(3,1)=0.05p(3,2)=0.1p(3,3)=0.1
Compute the following probabilities:
P(X+Y>3)=
P(XY=2)=
P(XY>1)=
Mauro has $500 to invest in one of two accounts for 3 years.
Account 1 earns 1.2% interest compounded monthly.
Account 2 earns 1.3% interest compounded semiannually.
Which account has a higher return, and how much?
Answers
Answer: Account 1 earns a higher return over 3 years, with a total of $515.64.
To calculate the return of Account 1:
$500 * (1 + 0.012/12)^(12*3) = $515.64
To calculate the return of Account 2:
$500 * (1 + 0.013/2)^(2*3) = $515.16
Therefore, Account 1 earns a higher return of $515.64 compared to Account 2's return of $515.16.
Step-by-step explanation:
Here is a prism made with 27 cubes that Renata covered with stickers.
You can pull her prism apart using the draggable point.
Fill in the table with the number of cubes in this prism that have 0, 1, 2, and 3 stickers.
Answers
The number of cubes in the prism with stickers 0 - 1, 1 - 6, 2 - 12, and 3 - 8.
What is a cube?Cubic form is defined as the shape of a cube. Another way to put it is that a block with uniform length, width, and height is regarded to be a cube. It also contains 12 edges and 8 vertices, with 3 of the edges coming together at a single vertex point. Examine the illustration below, identifying the faces, edges, and vertices. It is also referred to as a right rhombohedron, an equilateral cuboid, and a square parallelepiped.
According to the prism, the cube at the center has no stickers.
Stickers on 0 side = 1
The face of the prism contains cube that would have stickers on one side. The center cubes on each face will have stickers on one side:
Stickers on 1 side = 6
The edges of the prism will have cubes at the center that contain stickers on both sides:
Stickers on 2 side = 4 (3) = 12
Every vertices on the prism will have sticker on three sides.
Sticker on three side = 8
Hence, the number of cubes in the prism with stickers 0 - 1, 1 - 6, 2 - 12, and 3 - 8.
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The correct question is:
The table and graph below display data from the Fresh 4 Less farm stand in Austin, Texas. The number of customers and total sales in dollars for several months are displayed. Data downloaded on 2/19/2020 from https://data.world/cityofaustin/cfer-vyii.
Farm Stand Data
Number of Customers 216 254 316 397
Total Sales $1900 $1995 $2606 $3482
When answering the questions below, maintain exactly four decimal places in your intermediate computations. In these problems, intermediate computations refers to your average growth rate calculations.
Use interpolation or extrapolation (whichever is appropriate) to predict the total sales when the farm stand has 280 customers. Round your answer to the nearest whole number. $
Use interpolation or extrapolation (whichever is appropriate) to predict the total sales when the farm stand has 410 customers. Round your answer to the nearest whole number. $
Answers
The total sales when the farm stands have 410 customers will be $4326.
How to calculate the average growth rate?To predict the total sales when the farm stand has 280 customers, we need to interpolate between the data points for 254 and 316 customers. First, we can calculate the average growth rate between these two data points:
Average growth rate = (ln(2606) - ln(1995)) / (ln(316) - ln(254)) = 0.3763
Using this average growth rate, we can predict the sales for 280 customers as follows:
ln(y) - ln(1995) = 0.3763 x (ln(280) - ln(254))
ln(y) = 7.5835
[tex]y = e^{7.5} = 1961.36[/tex]
Rounding to the nearest whole number, we predict that the total sales when the farm stands have 280 customers will be $1961.
To predict the total sales when the farm stands have 410 customers, we need to extrapolate beyond the data points. We can use the same average growth rate calculated above to make this prediction:
ln(y) - ln(2606) = 0.3763 x (ln(410) - ln(316))
ln(y) = 8.4256
[tex]y = e^{8.4256}[/tex] = 4326.46
Rounding to the nearest whole number, we predict that the total sales when the farm stands have 410 customers will be $4326.
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Consider the following equation:
7/5x−8/5=3/x
Step 1 of 2: State any restriction(s) on the variable, if they exist.
Answers
The only restriction on the domain is that x can't be zero.
Is there any restriction on the variable?Here we have the following equation:
(7/5)*x - 8/5 = 3/x
And we want to see if there is a value of x that caueses a problem here.
We can see that on the right side, we have an x on the denominator. And remember that the division by zero is undefined, then we know that:
x ≠ 0
That is the only restriction, because x = 0 can't be on the domain.
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Math khan
Which of the
�
tt-values satisfy the following inequality?
8
>
3
+
�
4
8>3+
4
t
8, \gt, 3, plus, start fraction, t, divided by, 4, end fraction
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
�
=
12
t=12t, equals, 12
(Choice B)
B
�
=
16
t=16t, equals, 16
(Choice C)
C
�
=
20
t=20
pls help
Answers
The values of t that satisfy the inequality are less than 1.25
How to determine the value of tFrom the question, we have the following parameters that can be used in our computation:
8 > 3+ 4t
Evaluate the like terms
So, we have
5 > 4t
Divide both sides by 4
So, we have the following representation
1.25 > t
Rewrite as
t < 1.25
This means that the values of t that satisfy the inequality are less than 1.25
None of the options are applicable
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Complete question
Which of the t-values satisfy the following inequality?
8 > 3+ 4t
Choose all answers that apply:
(Choice A) t = 12
(Choice B)t = 16
(Choice C)t = 20
which of the following functions grows fastest? group of answer choices n log n n log n n / log n n - log n n log n
Answers
In the following option n log n seems to grow the fastest amongst all according to the size of inputs.
In computer science and mathematics, the running time or complexity of an algorithm is often measured in terms of the size of the input, usually denoted by n. The notation O(f(n)) is used to describe the upper bound on the running time of an algorithm, where f(n) is a function of n.
In the context of comparing growth rates of functions, we usually only consider the highest-degree term of the function. For example, we would say that f(n) = n^2 + n grows as O(n^2), because n^2 grows much faster than n and dominates the running time as n grows larger.
Now, let's consider the functions n, n / log n, n - log n, n log n, and n^2. As n grows, each of these functions grows at a different rate.
1. n grows linearly with n, so it takes more time as the size of the input grows.
2. n / log n grows faster than n, but slower than n log n. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n / log n grows faster.
3. n - log n grows slower than n and n / log n, because log n grows much slower than n, so as n grows larger, n - log n becomes closer to n.
4. n log n grows faster than n, n / log n, and n - log n, but slower than n^2. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n log n grows faster.
5.n^2 grows much faster than n, n / log n, n - log n, and n log n, so as n grows larger, n^2 becomes much larger than any of these functions.
So, of the options given, n log n grows the fastest, meaning that an algorithm that takes time proportional to n log n will become slower faster as the size of the input grows than an algorithm that takes time proportional to n, n / log n, or n - log n.
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A new company is looking to expand its business. The table shows the number of months, x, that have passed since the company was established, and the number of employees, f(x), at each time period. x 0 2 4 6 8 f(x) 2 31 54 71 82 Use the data in the table to create the standard form of the function that models this situation.
f(x) =
x2 +
x +
Answers
The quadratic regression equation is y = 2x^2 + 16x - 0.75
How to determine the quadratic regression equationFrom the question, we have the following parameters that can be used in our computation:
x 0 2 4 6 8
f(x) 2 31 54 71 82
Using a graphing calculator, we have the following summary:
function valuemean of x 4mean of y 48correlation coefficient r 1A 2B 16C -0.75The equation is represented as
y = ax^2 + bx + c
So,, we have
y = 2x^2 + 16x - 0.75
Hence, the equation is y = 2x^2 + 16x - 0.75
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Find the VOLUME of this figure. Please show work and how you go the answer. Please I need help!!!!!
Answers
The volume of the trapezoidal prism shown is 168 in³
What is an equation?An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either be linear, quadratic, cubic, depending of the degree of the variable.
The volume of the figure is the product of its base area and height. Hence:
Volume = area of base * height
The base is a trapezoid with parallel sides 3 in and 9 in, hence:
Area of base = 3 in * 9 in = 24 in²
Volume = area of base * height = 24 in² * 7 in = 168 in³
The volume of the figure is 168 in³
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Determine the equation of the linear function that generates the following table of values.
Answers
the equation of the Linear function will be f(x) = -19x + 14.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given a data set of a linear function
The slope-intercept form of the equation of a line
y=mx+b,
where m is the slope
b is the y-intercept (the value of y, at x = 0)
since, slope = (y - y')/(x -x')
In our case,
Slope = (128 -90)/ (-6 + 4)
Slope = 38/-2
Slope = -19
And b = 14 (Given)
Thus,
The equation of Line:
y = -19x + 14
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Jordan took out a loan for 14 months and was charged simple interest at an annual rate of 5.75%. If the amount of the loan was $850, what is the amount of interest she had to pay?
Answers
Answer:
$57.02
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I = Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Given:
P = $850r = 5.75% = 0.0575t = 14 months = 14/12 yearsSubstitute the values into the simple interest formula and solve for I:
[tex]\implies I=850 \cdot 0.0575 \cdot \dfrac{14}{12}[/tex]
[tex]\implies I=57.0208333...[/tex]
Therefore, the amount of interest is $57.02 (nearest cent).
is 5(AB)+3(AB) = 8(A^2)(B^2)
Answers
The expression 5(AB)+3(AB) = 8(A^2)(B^2) are not equal
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
5(AB)+3(AB) = 8(A^2)(B^2)
The left side of the equation represents the sum of two products of A and B, while the right side represents the product of 8 and A^2 times B^2,
These are two completely different expressions and their values are unlikely to be equal unless A, B, and the specific values involved are known.
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if a slope intercept what is the equation of the line having a slope of 2 and passing through the point (6,24)
Answers
The equation of the line of given slope and point is y = 2x + 12. The solution has been obtained by using the slope-intercept form.
What is slope-intercept form?
The graph of the equation y = mx + b is the line with m as its slope and b as its y-intercept. The slope-intercept form of the linear equation is used when the values of m and b are real integers.
We are given the slope as 2 and which is passing through the point (6,24).
We need to first find the y-intercept using y = mx + b
⇒y = mx + b
⇒24 = 2(6) + b
⇒24 = 12 + b
⇒b = 12
The equation in the slope-intercept form is
y = mx + b
This gives equation as y = 2x + 12.
Hence, the equation of the line of given slope and point is y = 2x + 12.
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help
Find and simplify the expression if f(x) = x² + 4
f(x-3) =? simplify
Answers
The function f(x-3) is simplified to have x² - 6x + 13
Solving and simplifying expressionsGiven the following quadratic function below
f(x) = x² + 4
We need to determine the value of the function f(x-3). Replace x with x -3 in f(x) to have:
f(x-3) = (x-3)² + 4
Expand the equivalent expression
f(x-3) = x² - 6x + 9 + 4
f(x-3) = x² - 6x + 13
Hence the simplified form of the expression is x² - 6x + 13
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What is the inverse of the following statement?
If angle ABC is equilateral, then it is isosceles.
A) If angle ABC is equilateral, then it is isosceles.
B) If angle ABC is isosceles, then it is equilateral.
C) If angle ABC is not isosceles, then it is not equilateral.
D) If angle ABC is not equilateral, then it is isosceles.
Answers
Answer:
D
Step-by-step explanation:
For each angle below, determine the quadrant in which the terminal side of the angle is found and find the corresponding reference angle theta¯ .theta= -1pi/3 is found in quadrant ____ and theta¯ = _______theta= -1pi/4 is found in quadrant ____ and theta¯ = _______theta= -5pi/6 is found in quadrant ____ and theta¯ = _______theta= 5 is found in quadrant ____ and theta¯ = _______
Answers
For Ф=-π/3 it is found in second quadrant, Ф=-π/4 is also found in second quadrant and Ф=-5π/6 in fourth quadrant.
What exactly are quadrants?
A quadrant is an area specified by the coordinate system's two axes (x and y). When the two axes, x and y, cross at 90 degrees, the four areas generated are known as quadrants. These areas include both positive and negative x- and y-axis coordinate values. The coordinates reflect a point's location in a quadrant.
In the Coordinate Plane, there are four quadrants.
Based on such values, the graph is split into parts or four quadrants.
The first quadrant is located in the upper right-hand corner of the graph. Both x and y values are positive in this quadrant.
The second quadrant is located in the upper left-hand corner of the graph. The value of x in this quadrant is negative, whereas the value of y is positive.
The third quadrant is located in the graph's lower left-hand corner. It has negative values for both x and y.
Fourth Quadrant: Finally, the fourth quarter is in the lower right-hand corner, with a positive x and a negative y value.
Now,
For quadrants, upto value of π/2 angles are in first qudrants
and upto -π/2 and π/2 to π are in second quadrant
and -π/2 to -π are in fourth quadrant.
Hence,
For Ф=-π/3 it is found in second quadrant, Ф=-π/4 is also found in second quadrant and Ф=-5π/6 in fourth quadrant.
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Dean uses a scale of 4 centimeters to 1 foot to draw the diagram. The actual length of kitchen island is 3 feet, and its width is 2 feet. The area of the scale diagram of the island is ____ square centimeters.
Answers
Answer:
96cm
Step-by-step explanation:
scale of 4cm : 1'
actual: length 3 feet, width is 2 feet.
so 12 cm & 8 cm
so area. = 12*8 = 96cm
For a family dinner, Kiko can make one serving of pasta salad by combining
5
1
2
parts pasta,
2
2
3
parts tomato, and
1
3
4
parts cucumber. If she plans to make
6
servings of pasta salad for the family dinner, how much of each ingredient will Kiko need?
She will need [DROPDOWN 1] parts pasta, [DROPDOWN 2] parts tomato, and [DROPDOWN 3] parts cucumber to make
6
servings of salad.
Answers
The equations for the amount of ingredients is
The amount of pasta = 33 parts pasta
The amount of tomato = 16 parts tomato
The amount of cucumber = 10.5 parts cucumber
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of pasta , tomato and cucumber required to make 6 servings be represented as P , T and C respectively
Now , the equation will be
The amount of pasta for 1 servings = 5 1/2
The amount of pasta for 6 servings P = 6 x ( 5 1/2 )
On simplifying the equation , we get
The amount of pasta for 6 servings P = 33 parts pasta
And ,
The amount of tomato for 1 servings = 2 2/3
The amount of tomato for 6 servings T = 6 x ( 2 2/3 )
On simplifying the equation , we get
The amount of tomato for 6 servings T = 16 parts tomato
And ,
The amount of cucumber for 1 servings = 1 3/4
The amount of cucumber for 6 servings C = 6 x ( 1 3/4 )
On simplifying the equation , we get
The amount of cucumber for 6 servings C = 10.5 parts cucumber
Hence , the equations are solved
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The image of a composite figure is shown. A four-sided shape with the bottom side labeled as 20.5 feet. The height is labeled 6 feet. A portion of the top side from the perpendicular to right vertex is labeled 2.1 feet. The portion of the top from the perpendicular to the left vertex is 18.4 feet. What is the area of the figure? 258.3 ft2 129.15 ft2 123 ft2 110.4 ft2
Answers
The area of the given figure is, 123ft² .So option c is correct
What is the area?An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².
The given figure can be assumed as a trapezoid with the two parallel sides being the bottom side (20.5 feet) and the top side (from the perpendicular to the right vertex to the perpendicular to the left vertex
= 18.4 + 2.1
= 20.5 feet
The height of the trapezoid is given as 6 feet.
The formula for the area of a trapezoid is:
Area = (sum of the parallel sides) * height / 2
So, in this case, the area of the trapezoid would be:
Area = (20.5 + 20.5) x 6 / 2
= 41 x 3
= 123 square feet
Therefore, the answer is 123 square feet.
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Factorise the9x^5+x^2
Answers
The factorization of 9x^5 + x^2 is x^2 (9x^3 + 1).
What is factorization?The factorization of algebraic expressions is the process of identifying two or more expressions whose product is the given expression. A factor is a number that evenly divides the inputted number or expression.
Algebraic expressions can be factored by identifying two or more expressions whose product is the provided expression, which is known as finding the factors of the given expression.
Given that:
9x^5+x^2
Factor x^2 out of 9x^5.
= x^2 (9x^3 ) + x^2
= x^2 (9x^3 + 1)
Therefore, we can conclude that the factorization of 9x^5 + x^2 is x^2 (9x^3 + 1).
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graph the quadrilateral with vertices w(-2,-1) x(-1,3) y (3,3) z(3,-3) and its imagine after rotation 180º about the origin
Answers
The image quadrilateral is identical to the original quadrilateral but has been mirrored across the x- and y-axes.
The coordinates W(-2, 1), X(-1, 3), Y(3, 3), and Z(3, 3) can be plotted to form the quadrilateral's graph as follows:
code is as follows:
|
| Y(3,3)
|
|
------Z(3,-3)
------
|
|
|
| X(-1,3)
|
|
|
W(-2,-1)
We may use the following transformation on each vertex to determine the image of this quadrilateral following a 180-degree rotation of the origin:
(x, y) -> (-x, -y) (-x, -y)
As a result, the picture quadrilateral's new vertices are:
W' = (-(-2), -(-1)) = (2, 1) (2, 1)\sX' = (-(-1), -(3)) = (1, -3) (1, -3)\sY' = (-3, -3) = (-3, -3) (-3, -3)\sZ' = (-3, 3) = (3, -3) (3, -3) (3, -3)
To create a quadrilateral image, we can plot these points on the same coordinate plane:
code
|
| Y'(3,-3)
|
|
------
Z'(3,-3)
------
|
|
|
| X'(1,-3)
|
|
|
W'(2,1)
It should be noted that the image quadrilateral is identical to the original quadrilateral but has been mirrored across the x- and y-axes.
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Level I Y.15 Surface area of cubes and prisms RFP
What is the surface area?
29 in
Submit
36 in
5 in
square inches
Answers
The surface area of rectangular prism above is 2738 in².
Rectangular prismAt the picture above is a rectangular prism with the sides 29 in, 36 in and 5 in.
The question is want to know The are
The surface area of a rectangular prism is given by this formula:
A = 2 (lh +wh + lw )
Substitute the sides of the shapes to the formula
A = 2 (lh +wh + lw )
A= 2( 36.5 + 29.5 + 36.29)
A= 2(180+145+1044)
A= 2(1369)
A=2738 in²
Therefore the surface area is 2738 in².
A right-angle prism is a three-dimensional shape with six faces, where all faces of the prism (top, bottom, and sides) are rectangular and all pairs of opposing faces are congruent. Like all three-dimensional shapes, right-angled prisms have a volume and a surface area. A right angle prism is also called a cuboid
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Which of the following are among the most commonly used metrics for comparing the performance of different companies?
Return on assets
Return on equity
Return on invested capital
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ROA, ROE, and ROIC are important metrics for comparing the performance of different companies and can provide valuable insights into a company's financial health and competitiveness.
Return on assets (ROA), return on equity (ROE), and return on invested capital (ROIC) are among the most commonly used metrics for comparing the performance of different companies. These metrics are widely used by investors, analysts, and other stakeholders to evaluate a company's financial performance and to compare it with other companies in the same industry.
Return on assets (ROA) is a measure of a company's efficiency in using its assets to generate profits. It is calculated by dividing the company's net income by its total assets. A higher ROA indicates that a company is generating more profits from its assets, while a lower ROA suggests that the company is not using its assets as efficiently.
Return on equity (ROE) is a measure of how much profit a company generates in relation to the equity invested by its shareholders. It is calculated by dividing the company's net income by its total equity. A higher ROE indicates that a company is generating more profits for its shareholders and is a sign of a well-managed company.
Return on invested capital (ROIC) is a measure of how much profit a company generates in relation to the capital it has invested in its business. It is calculated by dividing the company's net income by its invested capital. A higher ROIC indicates that a company is generating more profits from its invested capital, while a lower ROIC suggests that the company is not using its capital as effectively.
In summary, ROA, ROE, and ROIC are important metrics for comparing the performance of different companies and can provide valuable insights into a company's financial health and competitiveness.
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Work out the equation of the line which has a gradient of -2 and passes through the point (1,7).
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The equation of line is y = -2x + 9
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 1 , 7 )
The slope of the line is m = -2
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 7 = -2 ( x - 1 )
y - 7 = -2x + 2
Adding 7 on both sides of the equation , we get
y = -2x + 9
Hence , the equation of line is y = -2x + 9
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Z-scores measure an observation's standing relative to the ____ of the given data set.
Answers
Answer: X and Y values
Step-by-step explanation:
If the ice cream shop owner wants to triple her sale of sundaes from August to September, how many sundaes will she need to sell in September?
Answers
The expression for the number of sundaes shop owner needs to sell in September is 3x.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, the ice cream shop owner wants to triple her sale of sundaes from August to September.
If the ice cream shop owner sold x sundaes in August, then she will sell
3×x=3x sundaes in September.
Therefore, number of sundaes shop owner sold in September is 3x.
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A can of Tab costs R7, 20 at Timber City and the same can be purchased at your campus Canteen for R7, 50. If both stores run a promotion when you buy a six pack at R39,60 and R39,00 respectively. Compare the two promotion and advice which one is the best to buy. Show all your calculations and motivate
Answers
The better promotion is at the campus canteen and it is the best to by a can of tab with a discount of about R600.
What is discount?We come across phrases like cost price, tagged price, discount, and selling price when making a purchase. Shop owners give discounts to customers to encourage product sales. Discount is the term used to describe a rebate or an offer made to clients on the listed price of goods.
Discounts are price reductions that store owners make on items or services that are otherwise priced as marked. This portion of the rebate is typically provided to boost sales or get rid of excess inventory.
Given that, a can of Tab costs R7, 20 at Timber City.
Then 6 packs will cost = 6(720) = R4320
At promotion the cost is R3960 the discount offered is:
D = R4320 - R3960
D = R360
At campus Canteen a can of tab is for R7, 50.
6 packs = 6(750) = R4500
Discount = 4500 - 3900 = R600
Hence, the better promotion is at the campus canteen and it is the best to by a can of tab with a discount of about R600.
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Find absolute value integer or simplified fraction!!
Answers
Answer:
1/7
Step-by-step explanation:
Absolute value is the distance from zero. 7 and -1/7 and their distance from zero is not the same, but the distance from zero with the numbers -1/7 and 1/7 are the same. The absolute value, the distance from zero, is both 1/7.
Find the length of the third side. If necessary, round to the nearest tenth. 8 12
Answers
The length of the third side is 14.4 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We find the third side of a triangle by using Pythagoras theorem.
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
8²+12²=x²
64+144=x²
208=x²
Take square root on both sides
x=14.4
Hence, the length of the third side is 14.4 units.
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If a ticket price is lowered by $3.00 for all tickets, how does this demonstrate the income effect
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Answer:
the income affect is changed drastically as now for every person they loose $3.00
so sorry if I'm wrong