The type of statistical testing likely to be used for a test of controls is attribute sampling. This type of sampling is used to test the effectiveness of controls by measuring the proportion of items that meet a certain criteria or attribute.
It is commonly used in audits to determine if internal controls are operating effectively. The auditor selects a sample of items and examines them to determine if they meet the established criteria. The results of the sample are then projected to the entire population. Attribute sampling is preferred over other methods such as monetary-unit sampling or classical variables sampling when the focus is on testing controls rather than testing for errors in financial statements.
The type of statistical testing likely to be used for a test of controls is attribute sampling. Attribute sampling is a technique that focuses on evaluating the presence or absence of certain characteristics (attributes) in a population, such as whether controls are functioning effectively or not.
This method is suitable for assessing controls as it helps auditors determine the rate of control deviations, which can then be used to evaluate the reliability of internal controls within a process or system. The other methods mentioned, such as monetary-unit sampling and classical variables sampling, are more commonly used for substantive testing of financial data.
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If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
what is the median of these numbers 17 12 54 36 71 28 31 55
Answer:
The median is 33.5
Step-by-step explanation:
In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.
The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.
What is the median of a set of numbers?The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.
If there are an even number of numbers, the median is the average of the two middle values. If there is an odd number of numbers, the median is the middle number.
To find the median of the given numbers, we first need to arrange them in ascending order:
12 17 28 31 36 54 55 71
Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.
To find the average, we add the two numbers and divide by 2:
(31 + 36) / 2 = 67 / 2 = 33.5
Therefore, the median of the given numbers is 33.5.
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What is the value of x?
Three intersecting lines. Two of the lines are perpendicular and the other is diagonal. Along the top side of the diagonal line, the angles are labeled Y degrees, right angle, and 3X plus 7 degrees. Along the bottom side of the diagonal line, one angle is labeled 5Y plus 10 degrees, and the other angle is not labeled, but is vertical to the angle labeled 3X plus 7 degrees.
The value of x for the two angles (5y + 10)° and (3x + 7)° on a straight line is equal to 21.
The sum of angles on a straight lineAngles that are on a straight line involves the sum of angles that can be arranged together so that they form a straight line. Angles on a straight line when added together sum up to 180°.
From the question, we observe;
y + 90° + 3x + 7 = 180° and also,
5y + 10 + 3x + 7 = 180°
so;
5y + 10 + 3x + 7 = y + 90° + 3x + 7
5y - y + 3x - 3x = 90 + 7 - 10 - 7 {collect like terms}
4y = 80 {divide through by 4}
y = 80/4
y = 20
substituting 20 for y in y + 90° + 3x + 7 = 180°, we get;
20 + 90° + 3x + 7 = 180°
3x + 117° = 180°
3x = 180° - 117° {subtract 117° from both sides}
3x = 63°
x = 63°/3 {divide through by 3}
x = 21
I'm conclusion, we have that x have its value as 21 for the angle (3x + 7)° which lie on a straight line with (5y + 10)°
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When TB = 300Y - 6Y^2 and TC = 24Y + 108, the optimal level of Y is:
a. 23
b. 8
c. 24
d. 12
The optimal level of Y is option a) 23
TB = \(300Y - 6Y^2\)
MB or Marginal Benefit will result from the first derivative
MB=300-12Y
and TC = 24Y + 108
Marginal Cost, or MC, will result from the first derivative.
MC=24
MC=MB is the level of Y that is ideal.
300-12Y=24
12Y=276
Y=23
What is Marginal Cost?
The expense that a business incurs when it needs to produce extra units of any goods or services is referred to as a marginal cost.
It is computed by taking into consideration the whole cost of creating the extra items and dividing that sum by the variation in the overall quantity of the produced goods.
Variable costs like materials and labor are included in marginal costs. Additionally, it takes into account any increases in fixed expenses like selling, administration, and overhead.
When a change in production volume is required, the cost change is referred to as the change in the cost of production. More labor and raw resources are needed to produce additional units, changing the overall cost of production.
The volume of output either increases or decreases, which affects quantity. With an increase or decrease in production, there will be a variation in cost.
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PLSSS HELP IF YOU TRULY KNOW THISSS
Answer: 1/50
Step-by-step explanation:
Step 1: We need to multiply the numerator and denominator by 100 since there are 2 digits after the decimal.
0.02 = (0.02 × 100) / 100
= 2 / 100 [ since 0.02 × 100 = 2 ]
Step 2: Reduce the obtained fraction to the lowest term
Since 2 is the common factor of 2 and 100 so we divide both the numerator and denominator by 2.
2/100 = (2 ÷ 2) / (100 ÷ 2) = 1/50
He'll am just trying to make sure I did this right
EXPLANATION
Number of books = 12
Bill = $112
Amount spent = $16
Cost = $12/book
The variable is the number of books--> x
What are the 5 ways to prove triangles similar?
Five different ways to prove the given triangles are similar is given by :
SAS, SSS, ASA, AA, and RHS.
Five different ways to prove triangles are similar is given by:
1. SAS (Side-Angle-Side) : If the corresponding sides of one triangle are in proportion to the other triangle and included angle is of equal measure.
2. SSS(Side-Side-Side): If the corresponding sides of one triangle are in proportion to the other triangle
3. ASA(Angle - Side- Angle) : If the two angles of one triangle are equal to the angles of other triangle and included side is in proportion.
4. AA( Angle-Angle) : If two adjacent angle of one triangle is equal to the measure of other triangle.
5. RHS(Right angle- Hypotenuse - side). If the hypotenuse and one of one right triangle are in proportion to another.
Therefore, five different ways to prove the given triangles are similar is given by : SAS, SSS, ASA, AA, and RHS.
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More math!
I will literally worship you if you answer these. Like I'll give you anything...to an
extent✨❤️
Answer: Still need help? I got answer if you want.. if you don’t need help then I kinda stole your points lol
Step-by-step explanation:
solve the following differential equation. du(t) dy(t) +2. + 17y(t) = -10 dt dt dy (0) dt = 0 and u(t) = e Using Laplace transformation, d²y(t) dt² where y(0) = 0, + 10 u(t) -3t
To solve the given differential equation using Laplace transformation, we'll follow these steps:
Step 1: Apply the Laplace transformation to both sides of the equation.
Taking the Laplace transform of the equation, we have:
L{du(t)/dt} + 2L{dy(t)/dt} + 17L{y(t)} = -10L{dt/dt}
Using the properties of the Laplace transform, we get:
sU(s) - u(0) + 2sY(s) - y(0) + 17Y(s) = -10/s
Step 2: Apply the initial conditions.
Since we have the initial condition dy(0)/dt = 0, and y(0) = 0, we can substitute these values into the equation:
sU(s) - u(0) + 2sY(s) - 0 + 17Y(s) = -10/s
sU(s) + 2sY(s) + 17Y(s) = -10/s
Step 3: Solve for Y(s).
Rearranging the equation to isolate Y(s), we have:
Y(s)(2s + 17) = -10/s - sU(s)
Y(s) = (-10 - sU(s))/s(2s + 17)
Step 4: Take the inverse Laplace transform.
To find the solution y(t), we need to take the inverse Laplace transform of Y(s). However, the given u(t) = e is not in Laplace transform form. Please provide the correct Laplace transform expression for u(t) so that we can proceed with finding the inverse Laplace transform and the solution to the differential equation.
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If 45 is added to half a number, the result is triple the number. find the number
Answer:
18
Step-by-step explanation:
x = number
45 + 1/2 x = 3x
45 = 2.5 x
x = 45/2.5 = 18
Answer:
18
Step-by-step explanation:
Hello!
"Half a number" can be represented by 0.5x and "triple the number" can be represented by 3x.
This just becomes a one variable equation: 45 + 0.5x = 3x
Solve:
45 + 0.5x = 3x45 = 2.5x18 = xThe missing number is 18.
The mean cost of a box of Cheerios Oat Crunch is $4.00 and the variance is .35. If the price increases by 25 cents a box, what is the new variance?
The new variance is 0.0625 / n
We can use the following formula to calculate the variance of a data set
variance = (sum of (x - mean)^2) / (number of data points)
where x is a data point and mean is the mean of the data set.
If the mean cost of a box of Cheerios Oat Crunch is $4.00 and the variance is 0.35, we can find the standard deviation as follows
standard deviation = square root of variance = sqrt(0.35) = 0.59
Now, if the price increases by 25 cents a box, the new mean cost will be
new mean = $4.00 + $0.25 = $4.25
To find the new variance, we need to calculate the sum of (x - mean)^2 for the new data set and divide by the number of data points. Let's assume we are still considering the same number of boxes.
sum of (x - mean)^2 = [(4.25 - 4)^2 × n] = 0.0625 × n
where n is the number of data points.
Therefore, the new variance can be calculated as
new variance = (sum of (x - mean)^2) / (number of data points) = 0.0625 / n
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How do you find the slope and
y
-intercept of the line
−
7
x
−
9
y
=
27
?
The current, i, to the capacitor is given by i = -2e^(-2t)cos(t) Amps.
To find the current, we need to differentiate the charge function q with respect to time, t.
Given q = e^(2t)cos(t), we can use the product rule and chain rule to find the derivative.
Applying the product rule, we have:
dq/dt = d(e^(2t))/dt * cos(t) + e^(2t) * d(cos(t))/dt
Differentiating e^(2t) with respect to t gives:
d(e^(2t))/dt = 2e^(2t)
Differentiating cos(t) with respect to t gives:
d(cos(t))/dt = -sin(t)
Substituting these derivatives back into the equation, we have:
dq/dt = 2e^(2t) * cos(t) - e^(2t) * sin(t)
Simplifying further, we get:
dq/dt = -2e^(2t) * sin(t) + e^(2t) * cos(t)
Finally, rearranging the terms, we have:
i = -2e^(-2t) * sin(t) + e^(-2t) * cos(t)
Therefore, the current to the capacitor is given by i = -2e^(-2t) * sin(t) + e^(-2t) * cos(t) Amps.
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Subtract. (7b 1) - (3b - 1) what is the answer? question 1 options: a. 4b 2
b. 10b c. 4b d. 10b 2
Answer: 4b+2
Step-by-step
(7b+1)-(3b-1)
7b+1-3b+1
4b+2
When (7b -1) - (3b - 1) is substrate then final value will be 4b.
Answer is 4b and correct option is a.
Subtraction would be the operation as well as process of determining the difference among two numbers or quantities. Subtracting one amount from another is however known as 'taking one number aside from another'.
Here given that,
(7b-1)-(3b-1)
we need to subtraction , so first we need to open brackets,
7b-1-3b+1= 4b
7b-3b will be equal to 4b.
so got the answer 4b and option a is correct according to this answer.
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Which expression is equal to
Answer:
D
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
Its C
Step-by-step explanation:
0.719 rounded to the nearest hundredth
Answer:
0.72
Step-by-step explanation:
hope i helped
pls mark brainliest im trying to level up
Answer:
0.719 rounded to the nearest hundredth is 0.720
Step-by-step explanation:
9 is more than 5, so you round up, and the next hundredth is 2, so you get 0.720.
Hope this helps!!! Brainliest would be appreciated
What is the percent of change in the cost of a DVD set that originally sold for $49.99 and is now
on sale for $24.99? Round to the nearest percent.
Answer:
50% decrease
Step-by-step explanation:
49.99 - 29.99 = 25
25
---- = 0.5(100) = 50%
49.99
Answer: I dont know witch one you want me to round so I will do both. $49.99 = $50.00 and $24.99 = $25.00 and if you want to add them it would be $75.00
Sam was building a suspension bridge for the playground at an elementary school and needed some chain link and rope.He bought a total of 80 feet of materials. The chain link cost $2.00 per foot, and the rope cost $1.50 per foot. He spent a total of $135. How much of eacb did he buy?
Answer:
30 feet of chain link and 50 feet of rope
Step-by-step explanation:
Let's call the amount of chain link as x and the amount of rope as y. We can write:
x + y = 80 -- Equation 1
2x + 1.5y = 135 -- Equation 2
2x + 2y = 160 -- Equation 3 (Multiply Equation 1 by 2)
0.5y = 25 (Subtract Equation 2 from Equation 3)
y = 50 (Divide by 2)
x + 50 = 80 (Substitute y = 50 into Equation 1)
x = 30 (Subtract 50)
Select the correct answer from each drop-down menu.
• Drop down box 1
Division property of equality
Multiplication property of equality
Substitution property of equality
• Drop down box 2
csin(A) = bsin(C)
ccos(B) =bcos(C)
csin(B) =bsin(C)
• Drop down box 3
Division property of equality
Multiplication property of equality
Substitution property of equality
Really need this answer please
We can see here that in selecting the correct answer, we have:
Drop down box 1: Multiplication property of equality.
Drop down box 2: csin(B) =bsin(C)
Drop down box 3: Division property of equality.
What is Multiplication property of equality?A key idea in algebra is the multiplication property of equality, which asserts that if we multiply both sides of an equation by the same non-zero number, the equality is still maintained.
In other words, if a = b, then for any non-zero number c, we have:
a × c = b × c
Algebraic equations and expressions are frequently solved using the multiplication property of equality, a potent tool.
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Write a proof for the statement.
If a quadrilateral is a square, then the quadrilateral is a rectangle.
Please Please answer it
The value of a in the given polynomial division is; B: -3
How to divide Polynomials?When dividing polynomials, sometimes it is not perfect and would have remainders just like what we see in the question.
Now, in the polynomial division we are given;
Dividend = 24x² + 25x - 47
Divisor = ax - 2
Quotient = -8x - 3 - (53/(ax - 2))
With the knowledge of polynomial division, we can say that;
24x²/ax = -8x
Cross multiply to get;
24x² = -8ax²
divide both sides by -8x² to get;
a = -3
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HELP!! EASY 10 POINTS FOR BEST ANSWER
How many five-digit numbers, such as 14589, are so that their digits, whenread left-to-right, are strictly increasing?
Answer:
So there are 126 five-digit integers where each subsequent digit is larger than the previous digit, going from left to right.
Hope This Helps!!!
please help me i really need this answer
Answer: 351
Step-by-step explanation:
1/2 of the triangular prism is 3*6.5*9=175 and we have two prisms so therefore we multiply by 2 and get 351 meters.
Answer:
Step-by-step explanation:
V= Bh where B=area of Base h=height of shape
h=9
B= 1/2 bh this h is h of the triangle base, different then h above
B= 1/2 (5)(6.5)
B=16.25
V=Bh
V= 16.25*9
V=146.25 in³
if $a(-3, 5)$, $b(7, 12)$, $c(5, 3)$ and $d$ are the four vertices of parallelogram $abcd$, what are the coordinates of point $d$?
The coordinates of point D in the parallelogram ABCD are (15, 10).
To find the coordinates of point D, we can use the properties of a parallelogram. In a parallelogram, opposite sides are parallel and congruent. Therefore, we can use this information to determine the coordinates of point D.
Let's consider the given points:
A(-3, 5)
B(7, 12)
C(5, 3)
Since opposite sides of a parallelogram are parallel, the vector connecting points A and B should be equal to the vector connecting points C and D. We can express this as:
AB = CD
To find the vector AB, we subtract the coordinates of point A from the coordinates of point B:
AB = (7 - (-3), 12 - 5)
= (10, 7)
Now, we can express the vector CD using the coordinates of point C and the vector AB:
CD = (5, 3) + (10, 7)
= (15, 10)
Therefore, the coordinates of point D are (15, 10).
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7.657 __ 7.663
which one is greater?
> < =?
Answer:
7.663 is greater
Step-by-step explanation:
Though the ones and hundredths places are the same number, the thousands place is greater in the 7.663 answer making it more than 7.657
a political scientist investigated the effect of political advertisements on the way that people voted in the presidential election. they want to do a hypothesis test to determine if political advertisements influenced the vote of less than 31% of all voters. the political scientist randomly surveyed 2509 voters and asked if political advertisements influenced the way the person voted. 709 said the advertisements did influence their vote. calculate the test statistic. round your final answer to two decimal places.
The probability of the influenced voters, if The political scientist randomly surveyed 2509 voters, 709 said the advertisements did influence their vote, is 0.283.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a value between 0 and 1.
Given:
The political scientist randomly surveyed 2509 voters, n = 2509,
709 said the advertisements did influence their vote, S = 709,
Calculate the probability of influenced voter as shown below,
\(Probability = S / n\)
Probability = 709 / 2509
Probability = 0.283
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Round 217.72668318 to the nearest thousandth
hi <3
as the value after the thousandth place is 6, you would need to round up
thus, your answer would be 217.727
hope this helps :)
Answer:
217.727
Step-by-step explanation:
Evaluate f(x) = 12 for the function f(x) = 5(x - 3) + 17
Answer:
62
Step-by-step explanation:
12-3=9
5x9=45
45+17=62
Answer:
f(12)= 62
Step-by-step explanation:
Plug 12 into x.
5(12-3)+17
45+17
= 62
how to determine if a linear transformation is an isomorphism
Therefore, to determine if a linear transformation is an isomorphism, we can check if the determinant is non-zero or if the kernel is only the zero vector.
An isomorphism is a bijective linear transformation, that is both one-to-one and onto. The determinant of a linear transformation can help determine if it is an isomorphism. If the determinant is non-zero, the linear transformation is invertible, and therefore an isomorphism. A linear transformation is an isomorphism if and only if its determinant is nonzero.
Additionally, another way to check if a linear transformation is an isomorphism is to check if the kernel, which is the set of all vectors that get mapped to zero, is equal to only the zero vector. If the kernel is only the zero vector, then the linear transformation is one-to-one and therefore an isomorphism.
Therefore, to determine if a linear transformation is an isomorphism, we can check if the determinant is non-zero or if the kernel is only the zero vector.
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how to compare 10.5 to 11 and 19
Answer:
Line up the decimal points. **Answer is Least to greatest: 10.5 , 11, 19**
Step-by-step explanation:
You need to line each number up.
10.5
11.0
19.0
The reason why 11 and 19 have a decimal point and zero at the end is because you need to do that in order to compare the numbers.
This problem is also a little common sense because 10.5 is the smallest, 19 is the largest while 11 is in the middle.