Answer:B 8/11
C 3/9
Step-by-step explanation:
\(\sf x-6=17\)
Answer:
\(x=23\)
Step-by-step explanation:
\(x-6=17\)
\(x-6+6=17+6\) ( Add 6 to both sides)
\(x=23\)
Now we have to,
→ find the required value of x.
Given equation,
→ x - 6 = 17
Let's solve the equation,
→ x - 6 = 17
→ x = 17 + 6
→ [ x = 23 ]
Hence, the value of x is 23.
4. Find the perimeter and the area of the
trapezoid.
18 cm
33.3 cm
31.5 cm
32.4 cm
8.7 cm
The perimeter and area of the given trapezoid are 92.4 cm and 420.525 cm².
What is a trapezoid?An open, flat shape with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel.So, the area and perimeter of the trapezoid:
The perimeter of the trapezoid formula: P = a + b + c + d
P = a + b + c + dP = 8.7+18+33.3+32.4P = 92.4 cmThe area of the trapezoid formula: a+b/2 × h
A = a+b/2 × hA = 8.7 + 18/2 × 31.5A = 420.525 cm²Therefore, the perimeter and area of the given trapezoid are 92.4 cm and 420.525 cm².
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which measure of validility is based on showing a substantial correlation between selection test scores and job performance scores
The measure of validity based on showing a substantial correlation between selection test scores and job performance scores is known as criterion-related validity.
Criterion-related validity is a type of validity that examines the relationship between scores on a selection test and an external criterion, which is typically job performance in this case. The purpose is to determine how well the test predicts or correlates with an individual's ability to perform successfully in a specific job or role.
To establish criterion-related validity, data is collected from individuals who have taken the selection test and their subsequent job performance is measured. By analyzing the correlation between test scores and job performance scores, researchers can determine the extent to which the test accurately predicts future job performance.
If there is a substantial positive correlation between selection test scores and job performance scores, it indicates that the test is valid and can effectively differentiate between individuals who are likely to perform well in the job and those who are not. This provides evidence that the test is a useful tool for selecting candidates who have the potential to succeed in the specific job or role.
In summary, criterion-related validity is demonstrated when there is a significant correlation between selection test scores and job performance scores, indicating the test's ability to predict future job success.
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the branch of mathematics that analyses the strategic behavior of decision makers is known as _____
The branch of mathematics that analyses the strategic behavior of decision-makers is known as game theory.
The branch of mathematics that analyzes the strategic behavior of decision-makers is known as Game Theory.
Game theory is the study of the mathematical modeling of social interactions between agents. [1] It has applications in all areas of the social sciences, including logic, systems science, and computer science. It was originally focused on a two-player zero-sum game where each player's win or loss equals the other player's win or loss. In the 21st century, game theory applies to many social relationships; is now the subject of research on decision-making in humans, animals, and computers. The modern theory begins with the idea of a combination of competition in a two-player zero-sum game and its proof by John von Neumann.
Von Neumann's original proof of continuity in a linear system using Brouwer's fixed point theorem has become a standard in game theory and business mathematics. His research was based on the 1944 book Game Theory and Economic Behavior by Oskar Morgenstern, which deals with multiplayer cooperative games. The second edition of this book presents an axiomatic theory of expected utility that enables mathematical statisticians and economists to solve decisions in uncertainty.
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You are scheduled to receive $15,500 in three years. When you receive it it for seven more years at 9 percent per year. How much will you have in not round intermediate calculations and round your answer to 2 decin 32.16.) to receive $15,500 in three years. When you receive it, you will invest years at 9 percent per year. How much will you have in ten years? (Do ediate calculations and round your answer to 2 decimal places, e.g., Future value
After ten years, you will have approximately $34,448.12.
To calculate the future value of an amount invested at a certain interest rate, we can use the compound interest formula:
Future Value = Present Value * (1 + interest rate)^number of periods
In this case, we will receive $15,500 in three years and then invest it for seven more years at a 9% interest rate.
Step 1: Calculate the future value after three years.
Future Value after three years = $15,500 * (1 + 0.09)^3
Step 2: Calculate the future value after ten years (three years plus the additional seven years).
Future Value after ten years = Future Value after three years * (1 + 0.09)^7
Let's calculate the future value using the given values:
Future Value after three years = $15,500 * (1 + 0.09)^3
= $15,500 * (1.09)^3
= $15,500 * 1.295029
= $20,045.45
Future Value after ten years = $20,045.45 * (1 + 0.09)^7
= $20,045.45 * (1.09)^7
= $20,045.45 * 1.71899
= $34,448.12
Therefore, after ten years, you will have approximately $34,448.12.
It's important to note that this calculation assumes that the interest is compounded annually. If the interest is compounded more frequently (e.g., semi-annually or quarterly), the calculation would be slightly different.
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Positive numbers are not closed under subtraction. Give an example of this 1
below.
Answer:
5 -3 = 2
3-5 = -2
Step-by-step explanation:
In this question, we want to examine the validity of the statement by the use of an example.
Firstly, we need to understand the meaning of the fact that they are ‘closed’
By saying these numbers are closed under this arithmetic operation i.e subtraction, we directly mean that they obey the closure property.
Now, to obey the closure property means that if we move either way i.e by switching the numbers and performing the same arithmetic operation of subtraction, we are supposed to get same answer.
What this means in terms of examples is as follows;
Consider two positive numbers, 5 and 3
Now we know that 5-3 = 2
To check if the closure property is obeyed, switch the place of the numbers.
This means we would have;
3-5 = -2
We can see that both results are not the same. We can then conclude that the arithmetic operation of subtraction is not closed or does not obey the closure property for positive numbers.
Spin a spinner with three equal sections colored red, white, and blue. What is P(orange)?
100%
66%
33%
0%
Answer: D: 0%
Step-by-step explanation: There is no orange at all which means that the probability of it 0%. :)
If Josh has allocated $110 for new clothing for school and there is a 10% sales tax in his state, then how much can he spend (rounded to the nearest dollar) on clothes before the sales tax is added?
Answer:
99 dollars
Step-by-step explanation:
110x.9=99
Or
110x.1=11 110-11=99
a numerical value that measures the likelihood of an uncertain event is a ______.
A term that describes a numerical value measuring the likelihood of an uncertain event is - a probability.
A probability is a numerical value that measures the likelihood of an uncertain event occurring.
It ranges from 0 (impossible event) to 1 (certain event), with values in between representing the varying degrees of likelihood.
To calculate the probability of an event, you can divide the number of favorable outcomes by the total number of possible outcomes in a given scenario.
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- The local museum requires 2 adult
chaperones for every 15 students. How
many adults would be needed with
90 students?
Answer:
For 90 students, 12 adult chaperones are required.
Step-by-step explanation:
90 (students) divided by 15 gives us a proportion to multiple the amount of adults by.
90/15 = 6
Since there are 6 times as many students as the question provided, we will multiply the amount of adults in the question by 6.
2 x 6 = 12
\( T C=\frac{1}{2} e^{2 x}+e^{y}-4 x-2 y \) where \( x= \) units of labour; \( y= \) units of human capital, \( x, y>0 \). a) Calculate \( \frac{\partial T C}{\partial x} \). Interpret this mathematic
The interpretation of this expression is that the partial derivative of TC w.r.t. x is the rate of change of TC with respect to x, considering all other variables constant. It means if we change one unit of labor, TC will increase by 2e2x - 4 units, considering all other variables remain constant.
T C = 1/2 e2x + ey - 4x - 2ywhere x = units of labor and y = units of human capital, x, y > 0.Calculate:We need to calculate dTC/dx.
Interpretation:First, we need to calculate partial derivative of T C w.r.t. x. We know that partial derivative of a function with respect to one of its variable means to find the derivative of that variable with respect to the function, considering the other variables constant. Hence, it is a rate of change of one variable with respect to other variables considered constant. This is used to find the slope of a surface in a given direction.
The partial derivative of T C w.r.t. x is given as:
∂/∂x (T C)
= 2e2x - 4.∂/∂x (T C)
= 2e2x - 4
The interpretation of this expression is that the partial derivative of TC w.r.t. x is the rate of change of TC with respect to x, considering all other variables constant. It means if we change one unit of labor, TC will increase by 2e2x - 4 units, considering all other variables remain constant.
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8) A plum grower finds that if she plants 26 trees per acre, each tree will yield 126 bushels of plums. She also estimates that for each additional tree that she plants per acre, the yield of each tree will decrease by 2 bushels. How many trees should she plant per acre to maximize her harvest and what is the maximum harvest?
The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.
To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.
The yield of each tree can be represented by the equation:
Yield = 126 - 2x
The total yield per acre is then given by:
Total Yield = (26 + x) * (126 - 2x)
To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.
Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:
d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0
Simplifying the equation, we get:
-4x + 252 - 52 - 2x = 0
-6x + 200 = 0
x = 200/6
x ≈ 33.33
Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.
To find the maximum harvest, we substitute the value of x into the equation for the total yield:
Total Yield = (26 + 33) * (126 - 2 * 33)
Total Yield ≈ 59 * 60
Total Yield ≈ 3540 bushels
Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.
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Of the 50 parking spots in the garage, 43 are empty. What is the ratio of the number of full parking spots to the number of empty parking spots?
Answer:
7 and 43 over 50 THIS IS A SUGGESTION MOST LIKELY WRONG
Step-by-step explanation:
The circle graph describes the distribution of preferred transportation methods from a sample of 300 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Bus is the preferred transportation for 25 residents.
Bicycle is the preferred transportation for 48 residents.
Together, Streetcar and Cable Car are the preferred transportation for 42 residents.
Together, Walk and Streetcar are the preferred transportation for 165 residents.
5 cm
7 cm
7 cm
- Q +
Step-by-step explanation:
5 times 7 times 7 since there are two sevens that means both sides are the same and thar means it is a square and that the other sides are the same makeing it so Q=5
The solids are similar. Find the missing dimension
1.
9 ft
1 ft.
13
6tt.
24 ft.
A rectangle has an area 80 in2 and a length of 8 inches. What is the length?
Answer:
80/8=10 lenght is 10 inches
Step-by-step explanation:
Answer:
The length is 8, but if you are asking the width it is 10.
Step-by-step explanation:
You say the length is 8 inches then ask for the length.
If you meant to ask for the width then 80/8=10
Finding the side length of a cube from its Volume in liters A technical machinist is asked to build a cubical steel tank that will hold 275 L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001 m. X 5 ?
The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.
The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.
Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):
275 liters / 1000 = 0.275 cubic meters
Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:
∛(0.275) ≈ 0.640
Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.
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please help will give out brainlist i promise
Based on the information provided, we have the following:
An equation which represents a line that is perpendicular to line MN is: D. y = 4x - 6. If Lucy needs 20 skeins of yarn to finish the blanket, the amount of money it would cost is: C. $70.Given the following points:
Point N = (5, 3)
Point M = (-7, 6)
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
Substituting the given parameters into the formula, we have;
Slope, m = (6 - 3)/(-7 -5)
Slope, m = 3/-12
Slope, m = -1/4
For perpendicularity, we have:
m₁ × m₂ = -1
-1/4 × m₂ = -1
m₂ = 4
At point (-7, 6), an equation which represents a line that is perpendicular to line MN is given by:
y = mx + c
y = 4x - 6
How to determine the cost?Since 2 skeins of yarn cost $7 while 8 skeins of yarn cost $28 and she only needs 20 skeins of yarn, the total amount of money which Lucy would have to spend to knit her blanket is given by:
Total cost = 2(7 + 28)
Total cost = 2(35)
Total cost = $70.
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Complete Question:
Which equation represents a line that is perpendicular to line MN?
A: y=-1/4x+9
B: y=1/4x+6
C: y=-4x-7
D: y=4x-6
Question 2.
Lucy is knitting a blanket and needs to buy some yarn. At her local craft store, 2 skeins of yarn cost $7 and 8 skeins of yarn cost $28. If Lucy needs 20 skeins of yarn to finish the blanket, how much money will it cost?
A. $49
B. $56
C. $70
D. $140
1. Carlos is trying to read 12 pages of his book a night. The book has 156 pages. How many days, d, will it
take him to finish the book? Choose the equation below that models this situation.
A. 12d = 156
B. 1560 = 12
C.
156
12
D.
12
=d
156
Answer:
12d = 156
Step-by-step explanation:
Carlos is reading 12 pages / day
The total amount to read is 156
In order to find the days, you have to divide 156 by 12 or
Equation:
12d = 156; furthermore
d = 13 days, meaning it will take 13 days to read 156 pages.
Answer:
A. 12d = 156
Step-by-step explanation:
The book has a total number of 156 pages. If he reads 12 pages per night, we need to multiple the total number of days by the amount he reads per night in order to get 156. Since we don't know how many days it will take, we will use d to represent the amount of days. So, the equation ends up looking like this:
12d = 156
d represents the amount of days it will take for Carlos to read the book.
Which of the following are assumptions underlying the simple linear regression model y = Bo B1x e? Check all that apply The variance of the error term e varies for differing values of x. The error term is a random variable with an expected value of zero. The error term is normally distributed. The error term E follows a chi-square distribution.
The error term is a random variable with an expected value of zero.2. The error term is normally distributed
The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.
The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.
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I need help!! im stuck and dont understand and this is due at 12
Answer:
K is the midpoint of JL.
I hope this helps:)
HELP PLS IM BEGGING U
Answer:
\(\displaystyle y = 4x\)
Explanation:
Take a look at the endpoint of \(\displaystyle [10, 40].\) If you would just simply divide forty by ten, you will get your rate of change [slope] of four, leading you to the equation of \(\displaystyle y = 4x,\) especially because we are dealing with “direct variation”.
I am joyous to assist you at any time.
Please help me on this
Answer:
The proper equation is, y = -5x + 35
The mistake Amy made, was that she used the x-intercept instead of the y intercept
The members of the drama club have 100 tickets to sell
to the school play. Students pay $5 per ticket, and
nonstudents pay $10 per ticket. The drama club needs
to collect at least $800 in total ticket sales. The system
of inequalities represents the number of student tickets,
s, and the number of nonstudent tickets, n, the members
must sell.
S + n < 100
5s + 10n > 800
Answer:40
Step-by-step explanation:
answer is 40
A
The number of tickets sold to the student is s = 40 (maximum) and to the nonstudent is n = 60(minimum) in order to collect at least $800 in total ticket sales.
The members of the drama club have 100 tickets to sell Students pay $5 per ticket, and nonstudents pay $10 per ticket. Inequalities given S + n < 100, 5s + 10n > 800. Maximum tickets for students and minimum tickets for nonstudents are to be determined.
Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let S + n = 100 -----(1)
5s + 10n = 800 ----(2)
Solving equations 1 and 2
S = 40 and n = 60
in order to hold the inequality s should be a maximum of 40 or n should be a minimum of 60.
Thus, the number of tickets sold to the student is s = 40 (maximum) and to the nonstudent is n = 60(minimum) in order to collect at least $800 in total ticket sales.
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♥Evaluate the expression when x=-2 z=-1/5♥
The value of the given expression for x=-2 y=3 and z = -1/5 is 6/5.
The given expression is xyz.
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.
Put x=-2 y=3 and z = -1/5 in the given expression is
-2 × 3 × (-1/5)
= 6/5
Hence, the value of the given expression for x=-2 y=3 and z = -1/5 is 6/5.
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"Your question is incomplete, probably the complete question/missing part is:"
Evaluate the expression when x=-2 y=3 and z = -1/5, xyz=
Jenna is making a scarf. She needs 23 /4 feet of yarn. Each yarn bundle is 11 1/2feet. How many bundles does Jenna need? How much will be left over?
Given:
The length of yarn needed, l=23 1/4 feet.
The length of a yarn bundle, L=11 1/2 feet.
The number of bundles of yarn needed can be calculated as,
\(\begin{gathered} n=\frac{l}{L}=\frac{23\text{ }\frac{1}{4}}{11\frac{1}{2}} \\ n=\frac{\frac{23\times4+1}{4}}{\frac{11\times2+1}{2}} \\ n=\frac{\frac{93}{4}}{\frac{23}{2}} \\ n=\frac{93}{4}\times\frac{2}{23} \\ n=\frac{93}{2}\times\frac{1}{23} \\ n=\frac{93}{46} \\ n=2\frac{1}{46} \end{gathered}\)Therefore, 3 bundles is needed by Jenna to make the scarf.
The part of leftover yarn is,
\(\begin{gathered} N^{}=3-2\frac{1}{46} \\ =3-(2+\frac{1}{46}) \\ =1-\frac{1}{46} \\ =\frac{46-1}{46} \\ =\frac{45}{46} \end{gathered}\)Hence, 45/46 part of a bundle of yarn will be left.
Now, the length of leftover yarn is,
\(\begin{gathered} l^{\prime}=N\times L \\ =\frac{45}{46}\times11\frac{1}{2} \\ =\frac{45}{46}\times\frac{11\times2+1}{2} \\ =\frac{45}{46}\times\frac{23}{2} \\ =\frac{45}{2}\times\frac{1}{2} \\ =\frac{45}{4} \\ =11\frac{1}{4}\text{feet} \end{gathered}\)Therefore, 111/4 feet of yarn will be left.
i am in doubt in this task
Answer:
zoomMeeting ID: 8570913589 Passcode: K58Ech
Explanation:
NO FACE SHOWING N^de ZOOM
Step-by-step explanation:
Find the volume of the described solid of revolution or state that it does not exist. The region bounded by f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6] is revolved about the x-axis. Set up the integral that should be used to find the volume of the solid. Use increasing limits of integration. (Type exact answers.) Find the volume or state that it does not exist. Select the correct answer and, if necessary, fill in the box to complete your choice. A. The volume is cubic units. (Type an exact answer.) B. The volume does not exist.
The correct option is A. The volume is 6.77 cubic units
The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].
We want to find the volume of the solid of revolution when the region is rotated about the x-axis.
Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}
To set up the integral to find the volume of the solid of revolution, we can use the disk method.
We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.
The area of a disk is given by the formula: A = πr²
where r is the radius of the disk and is equal to f(x) in this case.
Therefore, the area of a disk is: A = πf(x)²
Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.
We have The integral that should be used to find the volume of the solid is given as:
V = ∫₁⁶ πf(x)² dx
We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.
We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx
Let u = x - 1, so that du/dx = 1 and dx = du.
When x = 1, u = 0, and when x = 6, u = 5.
Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.
The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.
Thus, the correct option is A. The volume is 6.77 cubic units.
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what value of x would prove that EFG~ABC, then find EF
45 is the value of EF in triangle .
What is known as a triangle?
Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a single point. 180 degrees is the sum of the triangle's three angles.
Having three sides, three angles, and three vertices, a triangle is triangular. A triangle's three inner angles add up to 180 degrees. The length of a triangle's two longest sides added together exceeds the length of its third side.
ΔEFG ~ ΔABC
4x + 9/7x = 25/35
4x + 9/7x = 5/7
7(4x + 9) = 5 * 7x
28x + 63 = 35x
63 = 35x - 28x
63 = 7x
63/7 = x
9 = x
EF = 4x + 9
= 4 * 9 + 9
= 36 + 9
= 45
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