The function F(x)=0.2F(x)=0.2 is not an exponential decay function. It is a constant function where the output value is always equal to 0.2, regardless of the input value xx.
An exponential decay function is typically in the form f(x)=a⋅bxf(x)=a⋅bx, where aa and bb are constants and bb is a value between 0 and 1. As xx increases, the exponential decay function decreases exponentially.
For example, an exponential decay function could be f(x)=0.2⋅(0.5)xf(x)=0.2⋅(0.5)x, where the base 0.50.5 represents the decay factor. As xx increases, the value of the function decreases rapidly.
In summary, an exponential decay function follows the pattern of decreasing values as xx increases, while the function F(x)=0.2F(x)=0.2 represents a constant value regardless of the input xx.
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The diameter of a circle is 7 fr find it’s circumference in the terms of pi
Answer:
7*pi
Step-by-step explanation:
If the diameter is 7, the radius is 7/2
Therefore, the circumference would be 2*pi*(7/2)=7*pi
Fill in the missing values below one at a time to find the quotient when x^3 - x^2 - 3x + 2 is divided by x - 2.
Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.
To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:
Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²
Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.
Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.
Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.
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Please use the following for the next 6 questions. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the population standard deviation for the earnings for such employees is $50. A sample of 100 such employees is selected at random.
1) What is the probability distribution of the average weekly earnings for employees in general automotive repair shops?
2) Find the probability that the average weekly earnings is less than $445.
3) Find the probability that the average weekly earnings is exactly equal to $445.
4) Find the probability that the average weekly earnings is between $445 and $455.
5) In answering the previous 3 questions, did you have to make any assumptions about the population distribution?
6) Now assume that the weekly earnings for employees in all general automotive repair shops is normally distributed, obtain the probability that a given employee will earn more than $480 in a given week.
1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.
3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.
4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.
5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.
6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.
Do you need a home loan of $65,000 after your down payment how much will your monthly house payment be if the bank charges 5.25% apr for a loan of 25 years simplify your answer, completely round your answer to the nearest cent
To calculate the monthly house payment for a $65,000 home loan with a 5.25% annual percentage rate (APR) over a 25-year term, we can use the formula for calculating the monthly payment on an amortizing loan. The formula is:
M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)
Where:
M = Monthly payment
P = Loan principal amount
r = Monthly interest rate (APR divided by 12 and expressed as a decimal)
n = Total number of monthly payments (number of years multiplied by 12)
Let's calculate the values and substitute them into the formula:
P = $65,000
r = 5.25% / 100 / 12 = 0.004375
n = 25 * 12 = 300
Now, let's plug these values into the formula:
M = 65000 * (0.004375 * (1 + 0.004375)^300) / ((1 + 0.004375)^300 - 1)
After evaluating this expression, the monthly house payment, rounded to the nearest cent, would be approximately $406.23.
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Which value of c is in the domain of f(x)
The value of c in the domain of f(x) depends on the specific function f(x) and its domain.
In order to determine which value of c is in the domain of f(x), we need to know the function f(x) and its domain. A domain is the set of all possible input values of a function.
If a value of c is in the domain of f(x), then we can plug it into the function and get a valid output.
In general, a function f(x) can have a restricted domain due to certain conditions or limitations. For example, a square root function cannot have negative values under the radical because that would result in an imaginary number.
Thus, the domain of a square root function is restricted to non-negative values.
In order to find the domain of a function, we need to consider any restrictions on the input values. For example, if we have the function f(x) = 1/x, we cannot plug in x = 0 because that would result in division by zero, which is undefined.
Therefore, the domain of f(x) is all real numbers except 0. We can write this as D(f) = {x : x ≠ 0}.Once we know the domain of f(x), we can check which value of c is in the domain by seeing if it satisfies the condition.
For example, if the domain of f(x) is D(f) = {x : x > 2}, then c = 3 is in the domain because 3 is greater than 2. On the other hand, c = 1 is not in the domain because 1 is less than 2.
Therefore, the value of c in the domain of f(x) depends on the specific function f(x) and its domain.
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Which expression represents the quotient of this model?
X
X
X
The expression which represents the quotient of the model is x² + 5x.
The correct answer choice is option B.
Which expression represents the quotient of this model?The quotient of a number is the number resulting from the division of one number by another.
There is one x²
There are 5 x
Hence, the quotient of the expression is x² + 5x
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How much money would you save if you earned $50,000 a year and maxed your contribution to get the full benefit?
Answer:
If you earn $50,000 a year and you max out your contribution to a 401(k) plan, you would contribute $19,500 (assuming you are under 50 years old). This means you would save $19,500 per year towards your retirement.
Identify the missing
term(s) in the polynomial
X^3 - 95
A. Both 0x^2 and 0x
B. 0x^2
C. 0x
D. 0x4
E. There are no missing terms
The missing term in the polynomial X^3 - 95 is 0x^2.
Option A (Both 0x^2 and 0x) is the correct answer choice, as 0x represents the missing term with a degree of x (linear term) as well.
In the polynomial expression X^3 - 95, we can observe that there is a missing term with an x^2 degree.
To identify the missing term, we need to consider the standard form of a polynomial expression, which is written in descending order of exponents. In this case, the highest exponent present is x^3, followed by a constant term (-95).
To fill in the missing term, we look for the term with an x^2 degree. Since it is not present in the given expression, we can conclude that the missing term is 0x^2.
Therefore, the missing term in the polynomial X^3 - 95 is 0x^2.
Option A (Both 0x^2 and 0x) is the correct answer choice, as 0x represents the missing term with a degree of x (linear term) as well.
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If x + y = 4, then 2(x + y) =
When given that x + y = 4, the algebric expression 2(x + y) simplifies to 8.
To find the value of 2(x + y) when given that x + y = 4, we can substitute the value of x + y into the expression.
We are given x + y = 4.
To solve for 2(x + y), we multiply both sides of the equation x + y = 4 by 2:
2(x + y) = 2 * 4
This simplifies to:
2(x + y) = 8
Therefore, the value of 2(x + y) is 8.
To explain the reasoning behind this, let's break it down step by step:
1. We start with the equation x + y = 4.
2. To find 2(x + y), we distribute the 2 to both terms inside the parentheses: 2 * x + 2 * y.
3. This simplifies to 2x + 2y.
4. Since x + y = 4, we can substitute 4 for x + y in the expression 2x + 2y.
5. Therefore, 2(x + y) becomes 2 * 4, which equals 8.
In summary, when given that x + y = 4, the expression 2(x + y) simplifies to 8.
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solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
Use the distance formula to find the length of each side, and then add the lengths.
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
Answer:
(a) Use the distance formula to find the length of each side, and then add the lengths.
Step-by-step explanation:
You want to know a suitable strategy for finding the perimeter of a quadrilateral when the coordinates of its vertices are known.
PerimeterThe perimeter of a figure is the sum of its side lengths. When the coordinates of the ends of a side segment are known, the length of that segment can be found using the distance formula.
This should make it obvious that a suitable strategy for finding the perimeter is to find the length of each side and add the lengths.
__
Additional comment
The slope is irrelevant when the perimeter is what you want.
The slope can be relevant if you're trying to prove a quadrilateral is a parallelogram or rectangle (or something else with parallel sides). (There are easier ways than using the slope.)
Multiplying side lengths will be relevant if you want the area of a rectangle. The product has no relation to the perimeter.
<95141404393>
-1/4 plus 3/5
Answer or else
The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.
To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.
The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:
-1/4 = -5/20
3/5 = 12/20
Now that the fractions have the same denominator, we can add them:
-5/20 + 12/20 = (-5 + 12)/20 = 7/20
Therefore, -1/4 + 3/5 is equal to 7/20.
To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.
Thus, the final answer is 7/20.
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PLEASE HELPP!! Determine if the solutions are Rational or Irrational. ILL GIVE BRAINLIEST
We can make the decision as per rational or irrational from the solution of the equations.
A. The solution is irrational
B. The solution is rational
C. The solution is rational
D. The solution is irrational
What is a rational function?
A rational solution refers to a solution that can be expressed as a ratio of two integers, where the denominator is not zero. It is a value that satisfies an equation or inequality and can be written in the form of a fraction.
For the equation[tex]5x^2 + 4x - 14 = 0[/tex], we obtain the solution as;
-2/5 ±1/5√74
For the equation we have that[tex]4x^2 + 8x - 5 =0[/tex]. The solution would be x = 1/2 or -5/2
For the third equation we have that [tex]x^2 + x - 42 = 0[/tex] The solution is x = 6 and -7
For the fourth equation; is 3x^2 + 4x - 2= 0. The solution of the equation is -2/3 ± 1/3√10
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Find the domain of the function y = 3 tan(2/3x
The domain of the function y = 3 tan(2/3x) is all real numbers except for x = (3n + ³/₂)π., where n is an integer.
What is the domain of the trigonometric function?The function is given as: y = 3 tan(2/3x)
The function above is defined for all values of x except where the tangent function is undefined. The tangent function is undefined at angles where the cosine is zero. In this case, the cosine is zero when 2/3x is equal to an odd multiple of π/2.
So we set (2/3)x equal to (2n + 1)π/2, where n is an integer:
(2/3)x = (2n + 1)π/2.
To solve for x, we multiply both sides by 3/2:
x = (3/2)(2n + 1)π/2.
x = (3n + ³/₂)π.
Therefore, the function is undefined when x is equal to (3n + 3/2)π, where n is an integer.
The domain of the function y = 3 tan(2/3x) is all real numbers except for x = (3n + ³/₂)π., where n is an integer.
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6. Aboutof Bhutan's population lives in Thimphu Dzongkhag. Chhukha Dzongkhag has about of 3 4 the population of Thimphu Dzongkhag. What fraction of Bhutan's population lives in Chhukha Dzongkhag?
About of Bhutan's population lives in Thimphu Dzongkhag. Chhukha Dzongkhag has about of 3 4 the population of Thimphu Dzongkhag. Approximately 3/7 fraction of Bhutan's population resides in Chhukha Dzongkhag.
Let's denote the population of Thimphu Dzongkhag as T and the population of Chhukha Dzongkhag as C. We are given that "about 3/4" of Thimphu Dzongkhag's population is the population of Chhukha Dzongkhag.
Mathematically, this can be represented as:
C = (3/4) * T
Now, we need to determine the fraction of Bhutan's population that lives in Chhukha Dzongkhag. To do this, we need to calculate the fraction C/(T+C).
Substituting the value of C from the equation above:
C/(T+C) = [(3/4) * T] / (T + [(3/4) * T])
Simplifying the expression:
C/(T+C) = (3/4) * T / (T + (3/4) * T)
= (3/4) * T / (4/4 * T + 3/4 * T)
= (3/4) * T / (7/4) * T
= (3/4) / (7/4)
= 3/7
Therefore, the fraction of Bhutan's population that lives in Chhukha Dzongkhag is 3/7.
This calculation is based on the given information that Chhukha Dzongkhag has about 3/4 the population of Thimphu Dzongkhag.
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The diameter of a circle is 4ft , Find it’s circumference in terms of pi.
Step-by-step explanation:
The circumference of a circle can be found using the formula:
C = πd
where C represents the circumference and d represents the diameter of the circle.
Given that the diameter of the circle is 4 feet, we can substitute this value into the formula:
C = π * 4
Therefore, the circumference of the circle is 4π feet.
Evaluate 2(4 -1)2.
A. 30
B. 60
C. 36
D. 18
Answer: D. 18
Step-by-step explanation:
We will use the order of operations (sometimes known as PEMDAS).
Given:
2(4 - 1)²
Subtraction:
2(3)²
Square:
2(9)
Multiply:
18
D. 18
p: A square has 4 sides. q: A triangle has 5 sides. Determine the truth values of the statements
The truth values of the statements can be determined as follows:
Statement p: "A square has 4 sides."
This statement is true. A square is a polygon with four equal sides and four equal angles, so it has 4 sides.
Statement q: "A triangle has 5 sides."
This statement is false. A triangle is a polygon with three sides and three angles, not five. It is a fundamental geometric shape with specific characteristics, and one of those characteristics is having three sides.Therefore, the truth values of the statements are:
p is true.
q is false.
It's important to note that truth values are based on established definitions and properties of geometric shapes. The statement p aligns with the definition of a square, while the statement q contradicts the definition of a triangle.
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Find a transformation T that maps the unit square to a figure with an area of 24 and a vertex at (5,3).
One such transformation is
T=
The transformation T maps the unit square to a figure with an area of 24 and a vertex at (5,3) which gives: T(x, y) = (6x + 5, 8y + 3).
How to Find a Transformation?To find a transformation T that maps the unit square to a figure with an area of 24 and a vertex at (5,3), we can use a combination of scaling and translation.
Let's denote the unit square as S, and the transformed figure as F.
To obtain a rectangle with an area of 48 and a vertex at (5,3), we can scale the unit square by multiplying the x-coordinates by 6 and the y-coordinates by 8, and then translate the scaled rectangle by adding (5,3) to the coordinates of each point.
Therefore, the transformation T can be expressed as:
T(x, y) = (6x + 5, 8y + 3)
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Consider the chart of LCD Television sets and population below. Round your ratio as a decimal to 6 places. Round the Owners per 100 to one decimal.
City
Number of Owners
Total Population
Ratio as decimal
Owners per 100
Indianapolis
6,245
0.90 million
New York
911,216
18.6 million
Cairo
10,598
19.1 million
Beijing
959,611
21.2 million
Tokyo
1,700,510
26.5 million
To calculate the ratio as a decimal, we divide the number of owners by the total population for each city.
For Indianapolis: Ratio = 6,245 / 0.9 million = 0.006938
For New York: Ratio = 911,216 / 18.6 million = 0.049019
For Cairo: Ratio = 10,598 / 19.1 million = 0.000554
For Beijing: Ratio = 959,611 / 21.2 million = 0.045270
For Tokyo: Ratio = 1,700,510 / 26.5 million = 0.064234
To calculate the owners per 100, we multiply the ratio by 100.
For Indianapolis: Owners per 100 = 0.006938 * 100 = 0.7 (rounded to one decimal place)
For New York: Owners per 100 = 0.049019 * 100 = 4.9 (rounded to one decimal place)
For Cairo: Owners per 100 = 0.000554 * 100 = 0.1 (rounded to one decimal place)
For Beijing: Owners per 100 = 0.045270 * 100 = 4.5 (rounded to one decimal place)
For Tokyo: Owners per 100 = 0.064234 * 100 = 6.4 (rounded to one decimal place)
Therefore, the ratio as a decimal and the owners per 100 for each city are as follows:
Indianapolis: Ratio = 0.006938, Owners per 100 = 0.7
New York: Ratio = 0.049019, Owners per 100 = 4.9
Cairo: Ratio = 0.000554, Owners per 100 = 0.1
Beijing: Ratio = 0.045270, Owners per 100 = 4.5
Tokyo: Ratio = 0.064234, Owners per 100 = 6.4
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10 marbles 6 black 4 white what is the decimal probability of getting a white
Answer:
.6
Step-by-step explanation:
Graph the line. y = -x - 3
help me please i would appreciate it so so much
The distance between A and B based on the diagram is approximately 1,685.2 cm.
What is the distance between A and B?Hypotenuse = 1,920 cm
Adjacent = 920 cm
A and B = opposite
Hypotenuse² = adjacent² + opposite²
1920² = 920² + AB²
3,686,400 = 846,400 + AB²
3,686,400 - 846,400 = AB²
2,840,000 = AB²
find the square root of both sides
AB = √2,840,000
AB = 1685.229954635271
Approximately,
AB = 1,685.2 cm
Hence, distance between A and B is 1,685.2 cm.
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(a) From Latoya's results, compute the experimental probability of rolling a 1 or 6.
(b)Assuming that the cube is fair, compute the theoretical probability of rolling a 1 or 6.
(c)Assuming that the cube is fair, choose the statement below that is true.
A. The experimental and theoretical probabilities must always be equal.
B. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become closer, though they might not be equal.
C. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become farther apart.
(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.
Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.
Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.
(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).
Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.
(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.
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What is Navems manufacturing cycle efficiency (MCE) for its elevators
The manufacturing cycle efficiency (MCE) of Navems for its elevators is 38.6%
The correct answer choice is option A.
What is Navems manufacturing cycle efficiency (MCE) for its elevators?Manufacturing cycle efficiency (MCE) = Value-added production time / Total cycle time.
Value-added production time;
Inspection time = 12 days
Process time = 5 days
Total = 17 days
Total cycle time:
Wait time = 12 days
Inspection time = 12 days
Process time = 5 days
Move time = 6 days
Queue time = 9 days
= 44 days
Hence,
Manufacturing cycle efficiency (MCE) = Value-added production time / Total cycle time × 100
= 17 days / 44 days × 100
= 38.63636363636363
Approximately,
38.6%
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What is the domain of this function?
Answer:
[0,∞)
Step-by-step explanation:
The domain is just all the x values in the function. We can see in the graph that it starts at x=0 (inclusive per the filled in circle) and keeps going to the right forever (per the arrow at the end of the line). Therefore, x values for this function go from 0 to ∞.
thus, the domain is [0,∞)
Refer to photo please.
Answer:
-5/6
-2/3
Step-by-step explanation:
it's easiest to write the line in the following form:
y=mx+b
where m is the slope
and b is the y intercept
In other words, we want to get y by itself
5x+6y= -4
6y= -4-5x
y=(-4-5x)/6
y=(-5/6)x-4/6
Thus, -5/6 is the slope
and -4/6= -2/3 is the y intercept
Nave Corporation manufactures and sells custom home elevators. From the time an order is placed until the time the elevator is installed in the customer's
averages 44 days. This 44 days is spent as follows
12 days
5 days
Help
What is Naven's manufacturing cycle efficiency (MCE) for its elevators?
Nave Corporation's manufacturing cycle efficiency (MCE) for its elevators is approximately 27.27%.
To calculate the manufacturing cycle efficiency (MCE) for Nave Corporation's elevators, we need to determine the ratio of value-added time to the total lead time.
Value-added time refers to the time spent on activities that directly contribute to the production or customization of the elevators, while lead time refers to the total time from order placement to installation.
Given the breakdown of time:
12 days for manufacturing and customization
5 days for waiting or non-value-added time
The value-added time is 12 days, and the total lead time is 44 days.
To calculate MCE, we divide the value-added time by the total lead time and multiply by 100 to express it as a percentage:
MCE = (Value-added time / Total lead time) x 100
MCE = (12 / 44) x 100
MCE = 27.27%
Therefore, Nave Corporation's manufacturing cycle efficiency (MCE) for its elevators is approximately 27.27%.
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-) Find the equation of the line that passes through (1,0) and (3,6).
The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.
To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.
Given points:
Point 1: (1, 0)
Point 2: (3, 6)
Step 1: Calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates:
m = (6 - 0) / (3 - 1)
m = 6 / 2
m = 3
Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).
Using Point 1 (1, 0):
0 = 3(1) + b
0 = 3 + b
b = -3
Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):
y = 3x - 3
Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.
This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.
Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer: (C) 1/3
Step-by-step explanation:
Look at the base lengths. For A'B'C', the length is 2. For ABC, it is 6. The ratio of the length of A'B'C' to the length of ABC is 1/3. Thus the answer is C.
