Answer:
for the ratio part of the question it'd be 0.96
Step-by-step explanation:
41+29=70
100-70=30
29/30=0.96
What is an auditor's evaluation of a sample for attributes when a test of 50 documents results in one exception if the tolerable rate is 6%, the expected population exception rate is 1%, and the allowance for sampling risk is 3%?
Group of answer choices
a) Modify the planned assessed level of control risk because the sample exception rate plus the allowance for sampling risk exceeds the tolerable rate.
b) Modify the assessed level of control risk because the tolerable rate plus the allowance for sampling risk exceeds the expected population exception rate.
c) Accept the sample results as support for the planned assessed level of control risk because the sample exception rate plus the allowance for sampling risk is less than the tolerable rate.
d) Accept the sample results as support for the planned assessed level of control risk because the tolerable rate minus the allowance for sampling risk equals the expected population exception rate.
The correct answer is: a) Modify the planned assessed level of control risk because the sample exception rate plus the allowance for sampling risk exceeds the tolerable rate.
In attribute sampling, the auditor evaluates a sample to assess the control risk associated with a particular attribute or characteristic. In this case, the attribute being tested is the exception rate among the documents.
Given the information provided:
Sample size (n) = 50 documents
Number of exceptions found in the sample = 1
Tolerable rate = 6%
Expected population exception rate = 1%
Allowance for sampling risk = 3%
To evaluate the sample results, we need to consider the sample exception rate plus the allowance for sampling risk and compare it with the tolerable rate.
Sample exception rate = (Number of exceptions found / Sample size) * 100
= (1 / 50) * 100
= 2%
Sample exception rate + Allowance for sampling risk = 2% + 3% = 5%
Since the sample exception rate plus the allowance for sampling risk (5%) exceeds the tolerable rate (6%), the auditor needs to modify the planned assessed level of control risk. This means that the auditor should conclude that the control is not operating effectively at the desired level and may need to adjust their assessment of control risk accordingly.
Therefore, the correct answer is a) Modify the planned assessed level of control risk because the sample exception rate plus the allowance for sampling risk exceeds the tolerable rate.
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1. Solve =
15+ax
———
2
=
-25 for x. Assume that a = 0.
The value of x in the given equation is -65/a
Solving an equationFrom the question, we are solve the given equation for x,
The given equation is
(15 + ax)/2 = -25
Solving the equation,
(15 + ax)/2 = -25
Multiply both sides of the equation by 2
2×(15 + ax)/2 = -25×2
15 + ax = -50
Subtract 15 from both sides of the equation
15 - 15 + ax = -50 -15
ax = -65
∴ x = -65/a
Hence, the value of x in the given equation is -65/a
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f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1).?? ?//
Answer:
20
Step-by-step explanation:
f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1)
f(x)= (-1)(2) +3 (-1)= -2+-3= -5
g(x)= 2 (-1)2= -4
(f ∘ g)= -5 x -4= 20
can someone plz help me plz plz
Answer:
2
Step-by-step explanation:
The slope of the line is basically the gradient so I used the formula
(y2-y1) / (x2 - x1) which gives (-5-1) / (3-0) = 2
Total slack is calculated by ____
Total slack is calculated by the late finish minus early finish and the late start minus the early start
What is the total slack?Total slack is simply the amount of time taken for a task to be delayed before the project finish date is delayed. It can be positive or negative.
It is calculated as the calculated as the value of the Late Finish minus the Early Finish field, and the Late Start minus the Early Start field.
Total slack = Late finish - early finish + late start - early start
Thus, the total slack is calculated by the late finish minus early finish and the late start minus the early start.
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on a number line, the directed line segment from Q to S has endpoints at -2 and S at 6. point R partitions the directed line segment from Q to S in the 3:2 ratio. rachel use the section formula to find the location of point R on the number line. her work is shown below. let m = 3, n = 2, x1 =-2, and x2 = 6. what is the location of point R on the number line?
Answer:
[3/3+5](2-(-14))+(-14)
Step-by-step explanation:
3:5 Ratio means that the m/m+n would be 3/3+5.
Then X2 is 2 and X1 is -14.
X2-X1 is 2-(-14)
Boats are made in a factory at a rate of 26 cars every 2 hours. At this rate, how many boats can be made in the factory in 6 hours?
Write answer here
----------------------------
Answer:78
Step-by-step explanation:26 every two hourso hours means 26*3 would equal how many boats are made in 6
Answer:
78 boats
Step-by-step explanation:
In 2 hours, number of boats made = 26
In 1 hour, number of boats made = 26/2 = 13
In 6 hours, number of boats made = 13×6= 78 boats
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Write an expression for the function, f(x)with the properties f′(x)=ln(x)2x, f(5)=2.
From the given information provided, the function f(x) is: \(f(x) = (\frac{1}{3})(ln(x))]^3 + 2 - [(\frac{1}{3})(ln(5))]^3\)
Finding a function's integral is a step in the mathematical process of integration. A new function called the integral of a function describes the region of the original function's curve that is under consideration.
Calculus, physics, and statistics are just a few of the mathematics, scientific, and engineering fields where integration is applied. It is used to resolve issues with computing the volume of a solid, determining the average value of a function over a specific range, and determining the area under a curve.
To find the function f(x), we need to integrate the derivative f'(x):
\(f(x) = \int \frac{ln(x)^2}{x} dx\)
Using u-substitution with u = ln(x), we have:
\(\frac{du}{dx} = \frac{1}{x}\)
⇒ \(dx = x du\)
Substituting this value into the integral, we get:
\(f(x) = \int u^2 du\)
\(= (\frac{1}{3})u^3 + C\)
\(= (\frac{1}{3})(ln(x))^3 + C\)
Where C is the constant of integration.
To find C, we use the fact that f(5) = 2:
\(f(5) = (\frac{1}{3})(ln(5))^3 + C = 2\)
Solving for C, we get:
\(C = 2 - (\frac{1}{3})(ln(5))^3\)
Putting the value of C in the integral, we get the required function
\(f(x) = (\frac{1}{3})(ln(x))]^3 + 2 - [(\frac{1}{3})(ln(5))]^3\)
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11
?
Find the arc length of the semicircle.
Either enter an exact answer in terms of a or
use 3.14 fora and enter your answer as a
decimal.
units
Answer:
\(34.5575191895\)
Step-by-step explanation:
\(2\pi r(180/360)\\2\pi *11*1/2\\=11\pi\)
The arc length of the semicircle is half the circumference i.e., 11π.
What is circumference?The circumference is the perimeter of a circle.
Formula of Circumference = 2πr.
= Arc length of a semicircle
= half of the circle's circumference
= 2πr/2
= πr
=11r
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The Temperature on an outdoor thermometer on Monday was 5.5 c. The temperature on Thursday was 7.5° less than the temperature on Monday. What was the temperature on Thursday
Answer:
Answer is -2
Step-by-step explanation:
5.5 minus 7.5 is negative 2. hope this helps.
1. One mole of an ideal gas expands isothermally at T = 20°C from 1.1 m³ to 1.8 m³. The gas constant is given by R = 8.314 J/(mol K). (a) Calculate the work done by the gas during the isothermal ex
The work done by the gas during the isothermal expansion is 331.32 J.
Isothermal Expansion refers to a process in which the temperature of a system stays constant while the volume increases. In this process, an ideal gas expands from 1.1 m³ to 1.8 m³, and the gas constant is R = 8.314 J/(mol K).
The work done by the gas during the isothermal expansion can be calculated as follows:Answer:During an isothermal process, the change in internal energy of the system is zero since the temperature remains constant.
Therefore,ΔU = 0The first law of thermodynamics is given by:ΔU = q + w
where q is the heat absorbed by the system, and w is the work done on the system.Since ΔU = 0 for an isothermal process, the above equation reduces to:w = -q
During an isothermal process, the heat absorbed by the system is given by the equation:q = nRTln(V₂/V₁)Where, n is the number of moles, R is the gas constant, T is the temperature, V₁ is the initial volume, and V₂ is the final volume.
Substituting the given values, we have:q = (1 mol) × (8.314 J/(mol K)) × (293 K) × ln(1.8 m³ / 1.1 m³)q = 331.32 J
Therefore, the work done by the gas during the isothermal expansion is given by:w = -qw = -(-331.32 J)w = 331.32 J
Thus, the work done by the gas during the isothermal expansion is 331.32 J.
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Suppose that s will be randomly selected from the set
{-4, -3, -1, 0, 2, 8) and that t will be randomly selected
from the set {-7, 1, 4, 6}. What is the probability that st> 0 ?
PLEASE SHOW WORK
Therefore, the probability that st > 0 is 9/24 or 3/8, which is approximately 0.375 or 37.5%.
What is probability?Probability is a measure of how likely an event is to occur. It is a number between 0 and 1, with 0 suggesting that an occurrence is impossible and 1 indicating that an event is unavoidable. A given event's probability is computed by dividing the number of positive outcomes by the total number of potential possibilities.
Here,
To find the probability that st > 0, we need to consider all possible pairs of values (s, t) such that their product is positive.
We can start by considering the possible pairs of values for s and t separately.
For s, there are three possible values that are negative: -4, -3, and -1. There are also three possible values that are positive or zero: 0, 2, and 8.
For t, there are two possible values that are negative: -7 and 1. There are also two possible values that are positive: 4 and 6.
We can now list all possible pairs of values (s, t) and determine whether their product is positive:
(-4, -7): Negative
(-4, 1): Negative
(-4, 4): Negative
(-4, 6): Negative
(-3, -7): Positive
(-3, 1): Negative
(-3, 4): Negative
(-3, 6): Negative
(-1, -7): Positive
(-1, 1): Negative
(-1, 4): Negative
(-1, 6): Negative
(0, -7): Negative
(0, 1): Zero
(0, 4): Zero
(0, 6): Zero
(2, -7): Negative
(2, 1): Positive
(2, 4): Positive
(2, 6): Positive
(8, -7): Negative
(8, 1): Positive
(8, 4): Positive
(8, 6): Positive
Out of the 24 possible pairs, there are 9 pairs whose product is positive.
P=9/24
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what is the surface area of a cylinder with a radius of 9 and width of 2
The graph of Y=x^2 is shown below
if graphed on the same grid which of the following could be the graph of Y = 0.4 X^2
Answer:
attached
Step-by-step explanation:
y = 0.4 x² ... 0<0.4<1
vertical compression ==> (x,y) -> (x , 0.4*y)
Answer: C
Step-by-step explanation:
Complete questions 1,2.
Answer:
to change a mixed number into an improper fraction, you just need to take the whole number in the problem and multiply it by the denominator and add it to the numerator.
To change an improper fraction into a mixed number you divide the numerator by the denominator and put the whole number you get in front of the left over fraction.
Step-by-step explanation:
Use the figure to find the indicated measure
The indicated measure of the angles and segments in the figure, obtained using the two tangent theorem can be presented as follows;
a) m∠GHI = 48°
b) m∠HRI = 30°
c) HI = 28/√3
d) m∠HGI = 42°
What is the two tangent theorem?The two tangent theorem states that two tangent to a circle drawn from the same external point have congruent segments.
a) The figure in the question consists of two tangents RT and RI
The radius-tangent theorem indicates that the radius of the circle with center H, HI is perpendicular to the tangent RG, therefore;
Angle m∠HIG = angle m∠HIR = 90°
The angles subtended by the arcs at the center of the circle indicates;
m∠GHI = The angle subtended by the arc at the center = 48°
b) m∠HRI = The interior acute angle, complementary to the angle 60° at the center, therefore;
m∠HRI = 90° - 60° = 30°
c) The two tangent theorem indicates that; RI = RT = 28
tan(∠HRI) = HI/RI, therefore;
tan(30°) = HI/28 = 1/√3
HI = 28/√3
d) m∠HGI = The complementary angle to the angle 48° formed at the center of the circle
Therefore; m∠HGI = 90° - 48° = 42°
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Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
14
Step-by-step explanation:
Please help me with this. Thanks!
Answer:
the plane is descending at a rate of 8,300 feet per minute
Step-by-step explanation:
31,275 - 22,975 = 9,300
BRAINLIEST PLEASE!
PLEASE HURRY, ILL MARK YOU BRAINLEST!! Select the correct answer.
David and Gino each have coins with the same total value. David has a mixture of nickels and dimes, and he has 8 more nickels than he has
dimes. Gino only has nickels, and he has 20 more nickels than David.
What is the value of David's coins?
ОА.
$1.90
ОВ.
$1.50
OC. $1.45
OD.
$0.55
Answer:
A
Step-by-step explanation:
If you want more of an explanation, just ask
Which term refers to coordination, balance, and orientation in three-dimensional space?
Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.
The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.
There are three types of equilibrium: stable, unstable, and neutral.
Examples of equilibrium in everyday life:
A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.
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Fatema sold liters of soda at a baseball game. How much is this in milliliters?
Answer: 1 liter is 1,000 milliliters
Step-by-step explanation:
It’s a conversion rule. Just plug in your liter value. Times your liter by 1000 and you will have your mililiter value.
Evaluate the functions in the given points.
a. f(x) = x
2 − 6 for f(0), f(−6), f(√6), f(
1
2
)
b. f(x) = x
3 + 2x for f(0), f(−2), f(−1), f(
1
2
)
c. f(x) =
1−2x
3
for f(0), f(−2), f(2), f (
1
2
) , f(m), f(m − 1), f(−m)
d.f(x) = |x| −
1
x
for f(−1), f(2), f(h), f (
1
2
) , f(−h + 2) where h ≠ 0
Answer:
Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)..............
Step-by-step explanation:
6 x 1/4 Multiply 1/4 how many times? Move from 0 to where. Product:
Answer:
Multiply 1/4 six times.
Start from zero and move 1/4 six times.
Product: 1 2/4 Other equivalent fractions: 2/3, 1 4/8, 18/12
Step-by-step explanation:
1. 1/4
2. 1/2 (2/4)
3. 3/4
4. one whole (4/4)
5. 5/4 ( 1 1/4)
6. 6/4 ( 1 2/4) (1 1/2)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1. 1/4 + 1/4 = 2/4
2. 2/4 + 1/4 = 3/4
3. 3/4 + 1/4 = 4/4
4. 4/4 + 1/4 = 5/4
5. 5/4 + 1/4 = 6/4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1/4 times 6. In other ways..
6/4 1/4 times 6/1 = 6/4
La maestra del quinto grado, que tiene 27 estudiantes, desea hacerles un regalo por el "Día del niño". Si adquirió una caja de bombones que contiene 81 unidades y regala 3 bombones a cada niño o niña, ¿alcanzarán los bombones para todos sus estudiantes?
Answer: Yes, it will be enough.
Step-by-step explanation:
I will answer this in English:
We have 27 students and 81 units, we want to give 3 units to each student.
This is only possible if the quotient betwen 81 and 3 must be bigger than 27.
Lets do it:
81/3 = 27
So we have exactly enough for the 27 students.
O No; there are y-values that have more than one x-value.
• No; the graph fails the vertical line test.
• Yes; the graph passes the vertical line test.
Yes; there are no y-values that have more than one x-value.
The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
How do functions work?According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.
Please refer to the image instead of the graph, which is related to it.
The graphic displays a graph.
A parabola is seen on the graph.
The vertical line test determines if a graph can be a function, as is common knowledge.
The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
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Which points are solutions to the system of inequalities shown below?
Check all that apply.
y>x
y> 2
X>4
A. (6,4)
B. (4,2)
C. (8,1)
D. (9,-2)
E. (9, 10)
F. (5,6)
Answer:
F
Step-by-step explanation:
y should be greater than x and greater than 2.
x should be greater than 4 but less than y
In a lab experiment, a population of 250 bacteria is able to triple every hour. Which equation matches the number of bacteria in the population after 8 hours?
Answer: 5,250
Step-by-step explanation:
250x3=750
750x7
what is 28.5 inches in height?
Find the value of X? 6x-4=8x-8
Answer:
6x-4=8x-86x-8x=-8+4-2x=-42x = 4x = 4/2x = 2Step-by-step explanation:
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Which point has coordinates (-2, 3)?
Answer: I need a picture to go along with it because I see nothing.
Step-by-step explanation: