Answer:
Step-by-step explanation:
Some accounting firms give the client an option to pay a fee when the tax return is completed that guarantees tax advices and support from the accountant if the client were audited. A large accounting firm is trying to determine what fee to charge for nextyear's returns. In previous years, the actual mean cost to the firm for attending a client audit session was $690. To determine if this cost has changed, the firm randomly samples 35 client audit fees. The sample mean audit cost was $700 with a standard deviation of $65.
Required:
a. Develop a 90% confidence interval estimate for the mean audit cost.
b. Based on your confidence interval, what do you think of the claim that the mean cost has changed?
1. The interval does not contain the historical data mean $690, which supports claim the mean cost has changed.
2. The interval contains historical data mean $690, which supports the claim the mean cost has changed.
3. The interval does not contains historical data mean $690, which does not support the claim it has changed.
4. The interval contains historical data mean $690, which does not support the claim the mean cost has changed.
Answer:
a) $700+/-$18.07
Therefore,the 90% confidence interval (a,b)
= ($681.93, $718.07)
b) 4. The interval contains historical data mean $690, which does not support the claim the mean cost has changed.
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $700
Standard deviation r = $65
Number of samples n = 35
Confidence interval = 90%
z(at 90% confidence) = 1.645
a. Develop a 90% confidence interval estimate for the mean audit cost.
Substituting the values we have;
$700+/-1.645($65/√35)
$700+/-1.645($10.98700531147)
$700+/-$18.07362373736
$700+/-$18.07
Therefore,the 90% confidence interval (a,b) = ($681.93, $718.07)
b) Since, $690 is contained between the 90% confidence interval of ($681.93, $718.07). It implies that the mean cost has not changed.
4. The interval contains historical data mean $690, which does not support the claim the mean cost has changed.
Please answer this correctly
The right answer is 40 cm
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
fv=100000, pmt=4000, i/y=5%, n=10, what is pv?
The Present value is $6,139.132.
We have,
FV=100000, pmt = 4000, I =5%, n=10
So, The present value formula is
PV=FV / (1 + \(i)^n\)
So, PV = 100, 000 / (1+ 5/100\()^{10\\\)
PV = 100,000 / (1+ 0.05\()^{10\\\)
PV = 100, 000/ (1.05\()^{10\\\)
PV = 100,000 / 1.6288946
PV= $6,139.132
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Please help me! thanks if you do. Geometry.
All the required statements and reasons are given below.
What is an isosceles triangle?A triangle that has two equal lengths of sides and two equal measures of angles is called an isosceles triangle.
Given:
ΔACB is an isosceles triangle.
Statement 1.
ΔACB is isosceles with vertex angle C.
AN ≅ BM
Reason 1.
AC ≅ BC.
Statement 2.
∠NBA ≅ ∠MAB
Reason 2.
Isosceles Triangle Theorem
Statement 3.
AB ≅ AB
Reason3.
Reflexive property of congruence.
Statement 4.
ΔABN ≅ ΔBAM
Reason 4.
Congruent by SAS criterion.
Statement 5.
AM ≅ BN
Reason 5.
ΔABN ≅ ΔBAM
Therefore, all the required values are given above.
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A solid metallic sphere of radius 3 cm is melted and drawn into a cylindrical wire of radius 5 mm. Find the length of the wire.
Answer:
144 cmStep-by-step explanation:
Given
Radius of a sphere = 3 cmRadius of a cylinder = 5 mm = 0.5 cmVolume of a sphere
V = 4/3πr³= 4/3*3³π = 36π cm³Volume of a cylinder
V = πr²h = π*0.5²h = 0.25πh cm³Comparing volumes to get the length of the wire
36π = 0.25πhh = 36π/0.25π = 144 cmPlease help
D.
Figure A was translated 1.5 inches right to create Figure B.
E.
Figure A was rotated
90
°
about a point in the middle of the figures to create Figure B.
Answer:
B
Step-by-step explanation:
Process of elimination, it wasn't reflected because point a and point E are on opposite sides in figure B compared to figure A. It wasn't rotated 90° Because point H is once again on the complete opposite side, if it was 90° it would be to the left or the right, not opposite. It wasn't translated Because all points are in different places.
What is the first step in evaluating the expression below 3x{9-(4+2)/2
The first step in evaluating the expression 3x{9-(4+2)/2 is to simplify the innermost parentheses. By performing operations within parentheses first, we can simplify the expression and make it easier to evaluate.
To begin, we evaluate the expression within the parentheses (4+2), which equals 6. Thus, the original expression becomes 3x{9-6/2}.
The next step is to simplify the division operation. We divide 6 by 2, resulting in 3. Now the expression becomes 3x{9-3}.
The subsequent step is to simplify the subtraction operation. We subtract 3 from 9, giving us 6. The expression now becomes 3x6.
Finally, we multiply 3 by 6, yielding a final result of 18. Therefore, the evaluation of the expression 3x{9-(4+2)/2 is equal to 18.
By simplifying the parentheses, performing the division, and evaluating the subtraction, we systematically reduce the expression to its simplest form. Following the order of operations (also known as PEMDAS or BODMAS), which prioritizes parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right), ensures an accurate evaluation of the expression.
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what is 2/3 times 3/7
Answer: 2/3 time 3/7 it would be 6/21
Step-by-step explanation: because you would multiply bot the numerator and denominater.
(3+sqrt-16)(6-sqrt-64)
Answer:
12i + 9
Step-by-step explanation:
Since sqrt of negative numbers cannot exist, they are numbers followed by the letter I.
sqrt -16=4i
sqrt -64=8i
3 and 6 cannot be grouped with them, so you would add these two
3+6=9
8i+4i=12
I believe this would be the answer:
12i + 9.
Answer:
18-32i
Step-by-step explanation:
(3+sqrt(16i)(6-sqrt(64i)
= 18-32i
Draw the net and calculate the surface area .
Hello!
surface area
= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)
= 160cm²
what are the steps to solve this
Answer:
The equation of this line is y = -4.
Answer:
y=-4
Step-by-step explanation:
zero slope m=0
y-y1=m(x-x1)
y-(-4)=0(x-(-9))
y+4=0
y=-4
Please answer the question in the photo :)
Answer:
it is correct I think it's right
Step-by-step explanation:
Label the midpoint to round 49.672 to the nearest tenth.
Answer:
49.7
Step-by-step explanation:
It would be 49.7 because you are round the .67 and that would be .7.
Hope this helps :)
The rounding off to the number 49.672 will be 49.7.
What is rounding off the number?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.
The given number is 49.672. The round-off to the number will be:-
49.672 = 49.7
Therefore, the rounding off to the number 49.672 will be 49.7.
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Write an algebraic expression for the
following
I start with x, add 4, square the answer
and then multiply it by 3
Answer
(x+4)^2x3
Step-by-step explanation:
so x add 4 is obviously x add 4 but since you want to square it you have to put x add 4 in brackets like this
(x+4)
you put the square symbol next to the brackets because you only want to square whats inside the brackets
(x+4)^2
and then you put times 3 so you can multiply everything by it so now its
(x+4)^2x3
The equation y=195(1.10)x can be used to represent growth in the number of Salad Supreme restaurants since 2005. Which is the most reasonable conclusion based on this information? A. Salad Supreme had 110 restaurants in 2005. B. Salad Supreme is increasing the number of restaurants by 10% each year. C. Salad Supreme is increasing the number of restaurants by 195 each year. D. Salad Supreme is increasing the number of restaurants by 110% each year.
The most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year. Option B
How to determine the most reasonable conclusionBased on the given equation y = 195(1.10)^x, where x represents the number of years since 2005 and y represents the number of Salad Supreme restaurants, we can draw the following conclusions:
A. Salad Supreme had 110 restaurants in 2005: This conclusion is not supported by the given equation.
B. Salad Supreme is increasing the number of restaurants by 10% each year: This conclusion is supported by the equation.
C. Salad Supreme is increasing the number of restaurants by 195 each year: This conclusion is not supported by the equation.
D. Salad Supreme is increasing the number of restaurants by 110% each year: This conclusion is not supported by the equation. The growth factor of 1.10 (or 10%) indicates a 10% increase each year, not 110%.
Therefore, the most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year.
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what is the slope of (-3,4) (-2,0)
Answer:
m = − 4
Step-by-step explanation:
Use the slope formula to find the slope m
Hope this helps :)
If you draw a card with a value of four or less from a standard deck of cards, I will pay you $29. If not, you pay me $13. (Aces are considered the highest card in the deck.)
Assuming you draw a card with a value of four or less from a standard deck of cards. the expected value of the proposition is $-3.
What is the expected value of the proposition?We have 12 cards with a value of 4 or less which are 2,3,4 in each suit.
The probability of drawing a card with a value of 4 or less from a deck of 52 cards = 12/52
Since we have 40 cards left all with a value more than 4. The probability of drawing a card with a value more than 4 from a deck of 52 cards = 40/52
Now let find the Expected value of the proposition [ E(x) ]
Expected value of the proposition [ E(x) ] = (12/52) × $29 - (40/52) ×$13
Expected value of the proposition [ E(x) ] = 6.69 - 10
Expected value of the proposition [ E(x) ] = -3.31
Therefore we can conclude that $-3 is the the expected value.
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The complete question is:
If you draw a card with a value of four or less from a standard deck of cards, I will pay you $29. If not, you pay me $13. (Aces are considered the highest card in the deck.)
Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
"Currently, only 20 percent of arrested drug pushers are convicted", cried candidate AK in a campaign speech. "Elect me and you'll see a big increase in convictions" A year after his election a random sample of 144 case files of arrested drug pushers showed 36 convictions. For a right-tailed test, find the p-value. A. 0.12 B. 0.07 C. 0.06 D. 0.04
Answer:
B. 0.07
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that the proportion of convicted drug pushers is significnalty higher than 20%.
Then, the null and alternative hypothesis are:
\(H_0: \pi=0.2\\\\H_a:\pi>0.2\)
The sample has a size n=144.
The sample proportion is p=0.25.
\(p=X/n=36/144=0.25\)
The standard error of the proportion is:
\(\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.2*0.8}{144}}\\\\\\ \sigma_p=\sqrt{0.001111}=0.0333\)
Then, we can calculate the z-statistic as:
\(z=\dfrac{p-\pi}=\dfrac{0.25-0.2}{0.0333}=\dfrac{0.05}{0.0333}=1.5\)
This test is a right-tailed test, so the P-value for this test is calculated as:
\(\text{P-value}=P(z>1.5)=0.066\approx0.07\)
The length of a rectangle is 22 meters. This is 8 more than twice of the width. Find the width of the rectangle
Answer:
w = 7
Step-by-step explanation:
L = 22
L = 2*w + 8
Since the Ls are the same thing, you can equate them
2w + 8 = 22 Subtract 8 from both sides
2w = 22 - 8 Combine
2w = 14 divide by 2
w = 14/2
w = 7
1. What is the measure
of ZABC?
A
98⁰
B
tc
2.
Answer:
∠ ABC = 49°
Step-by-step explanation:
the chord- tangent angle ABC is half the measure of the intercepted arc AB
∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
Which shows the correct way to
calculate the percent change if the
original value of your stock was $750
and the new value of your stock is
$1,000?
A. (1,000+ 750)/750 = 230%
B. (750-1,000)/1,000 = -25%
C. (1,000-750)/750 = 33%
The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.
C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%
Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.
160 51 what is the value of x
Answer:x=58
Step-by-step explanation:
Did it already
Determine whether the polygons with the given vertices are similar.
Quadrilateral ABCD with vertices A(–5, 4), B(–2, 4), C(–2, 2), D(–5, 2)
and quadrilateral EFGH with vertices E(–2, 0), F(4, 0), G(4, –6), H(–2, –6)
The distance between the EF is 6 units and FG is 6 units. Then the quadrilateral EFGH will be a square.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is the m:n ratio, finding the mid-point of the line, etc.
Quadrilateral ABCD with vertices A(–5, 4), B(–2, 4), C(–2, 2), D(–5, 2).
The distance between the AB is 3 units and BC is 2 units. Then the quadrilateral ABCD will be a rectangle.
Quadrilateral EFGH with vertices E(–2, 0), F(4, 0), G(4, –6), H(–2, –6).
The distance between the EF is 6 units and FG is 6 units. Then the quadrilateral EFGH will be a square.
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Please help with math.
Answer:
the answer is 1/Z raised to 3.
PLEASE MARK ME BRAINLIEST
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of acts on a certain object, the acceleration of the object is . If the acceleration of the object becomes , what is the force?
If the acceleration of the object becomes 9m/s², the force will be 24N
How to calculate the force?From the information, the moving object, the force acting on the object varies directly with the object's acceleration. When a force of 36N acts on a certain object, the acceleration of the object is 6m/s². The constant will be:
y = k/x
y = force.
x = acceleration
k = constant of proportionality.
k = 36 × 6
k = 216
If the acceleration of the object becomes 9m/s², the force will be:
= 216 / 9
= 24
The force is 24N.
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the expression negative five eighths times k minus 8 plus the expression 2 plus one third times k
7 over 24 times k plus negative 6
negative 4 over 11 times k plus negative 10
negative 7 over 24 times k plus negative 6
negative 23 over 24 times k plus negative 10
After solving the expression, the value is negative 7 over 24 times k plus negative 6. Therefore, option C is correct.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.
A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given statement for the expression,
-(5/8)k - 8 + 2 + (1/3)k
Take LCM as 24 and solve the equation,
(-7k - 144) / 24
= (-7/24)k - 6
Therefore, this concludes that option C is correct.
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Please help find the answer. Thank You!
Answer:
Step-by-step explanation:
208
is A square with a perimeter of 38 units is graphed on a coordinate grid. The square dilated by a scale factor of 0.8 with the origin as the center of dilation. If (x,y) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square? 0 (0.8x, 0.8y) 0 (x + 38, y + 38) O (x + 0.8, y + 0.8) O (38x, 38y)
Answer:
(0.8x, 0.8y)
Step-by-step explanation:
in a dilation with the origin as the center all point coordinates are multiplied by the scaling factor.
what is the measure of XYZ?
46°
94°
a. 46°
b. 140°
c. 94°
d. 70°
Answer:
46+96=140°_÷__^_^^^^=^