A survey of students' favorite sports was taken from a random sample of
students in a school. The results are shown in the table below. If there are
550 students in the school, predict how many students at the school prefer
track and field. *
Students' Favorite
Sports
Soccer
8
Baseball/Softball 3
Volleyball
5
Track & Field
4.
Your answer

Answers

Answer 1

Answer:

129

Step-by-step explanation:

Considering the survey to be representative, you can simply multiply the share of students p preferring “Track & Field” with the whole school population at the same time to estimate the number of such students in the whole school.

First we need to find the relative share p of such answers in the study by dividing it by the sum of answers, assuming that the table is complete for that random sample:

p = 4/(8 + 5 + 4) = 4/17

Then for the whole school we get 550 p ≈ 129.4

Answer 2

Answer:

110

Step-by-step explanation:

4/20 = x/550

550x4 divided by 20 = 110


Related Questions

Similar Triangles

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

a. 4/15 = 5/12 = 4/15
b. 4/5 = 12/15 = 4/5
c. 4/12 = 5/15 = 1/3
d. 5/4 = 15/12 = 5/4

Please select the best answer from the choices provided

Similar TrianglesWrite the ratio of corresponding sides for the similar triangles and reduce the ratio

Answers

Answer:

C. 4/12 = 5/15 = 1/3

Step-by-step explanation:

I calculated it logically

Answer:

The answer is A

Step-by-step explanation:

four causes of solar eclips​

Answers

Answer:

A solar eclipse occurs when the moon gets between Earth and the sun, and the moon casts a shadow over Earth. A solar eclipse can only take place at the phase of new moon, when the moon passes directly between the sun and Earth and its shadows fall upon Earth's surface

the midpoint of the line segment from p 1 p 2 is (- 6, 2) . if p 1 =(-8,2) , what is p 2 ?

Answers

If we have 2 coordinates (x1,y1) and (x2,y2), the midpoint is given by the following equation:

((x1+x2)/2,(y1+y2)/2)

We have the first set of coordinates which is (-8,2) and we have the midpoint which is (-6,2)..

For the x-coordinate:

(-8+x2)/2=-6

-8+x2=-12
x2=-12+8
x2=-4

For the y-coordinate:

(2+y2)/2=2
2+y2=4
y2=2

So the coordinate p2 will be (-4,2)

HELP ME IF YOU SUPPORT BLM ✊✊✊✊✊

HELP ME IF YOU SUPPORT BLM

Answers

Answer:

a. 9in

b. 0.4 cm or 2/5cm

c. 0.7squnits

d. no measure given

Step-by-step explanation:

hope this helps

BLM FOR LIFE

brainliest plzz

A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car
can travel on 7 gallons of gas?
O
3 m
63 - 7
о
SIC
0 -
62 m

Answers

Answer:

63/x = 3/7

x = 147 miles with 7 gal of gas

Step-by-step explanation:

63/x = 3/7

3x = (63)(7)

3x = 441

URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

Answers

Number of car sold are 98.

Number of trucks sold are 66.

Given,

Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .

Let number of cars sold are x.

Let number of cars sold of y .

Now,

For dealership 1 equation will be,

x + y = 164  ......(1)

For dealership 2 equation will be,

As the cars are sold twice and trucks are sold half .

2x + y/2 = 229......(2)

Solving 1 and 2,

y = 66

x = 98

Thus number of car sold are 98.

Thus number of trucks sold are 66.

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What percentage of 225 is 20

Answers

The Solution:

We are asked to determine the percentage of 20 out of 225.

That is,

\(\frac{20}{225}\times100=\frac{20\times4}{9}=\frac{80}{9}=8.8889\approx8.889\text{\%}\)

Therefore, the correct answer is approximately 8.889%

Further explanation:

20 out of 225 gives the fraction: 20/225

To write this as a percentage, you have to multiply by 100.

\(\frac{20}{225}\times100=8.8889\text{ \%}\)

Hassan predicted that he would sell 178 postcards. He actually sold 142 postcards. What are the values of a and b in the table below?

Percent Error

Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Postcards
178
142
a
b


a = negative 36; b = negative 36
a = negative 36; b = 36
a = 36; b = negative 36
a = 36; b = 36

Answers

Answer:

its b

Step-by-step explanation:

took the test on edge

Solve for measure of angle a.
55°
a = [?]°
25° ат

Solve for measure of angle a.55a = [?]25

Answers

Check the picture below.

Solve for measure of angle a.55a = [?]25

3. The table below shows the rates for two duplicating companies.
For what number of pages will the two duplicating stores charge the same amount?

3. The table below shows the rates for two duplicating companies. For what number of pages will the two

Answers

Answer:

250 pages

Step-by-step explanation:

Write an expression for the cost of x pages for each of the companies. Then set the expressions equal, and solve for x, the number of pages.

Quick Copy: 5 + 0.06x

Copy Place: 10 + 0.04x

5 + 0.06x = 10 + 0.04x

0.02x = 5

x = 5/0.02

x = 250

Answer: 250 pages

Check

Quick Copy: 5 + 0.06(250) = 5 + 15 = 20

Copy Place: 10 + 0.04(250) = 10 + 10 = 20

For 250 copies, both places cost $20. 250 copies is the correct answer.

A store sells six-packs of soda for $3:00 a six pack.

If this relationship is graphed with the number of cans of soda on the x-axis and the cost on the y-axis, what is the slope of the graph in dollars per can?

Answers

Answer:

y=1/2x

Step-by-step explanation:

Fill in the blank with a number to make the expression a perfect square.

Fill in the blank with a number to make the expression a perfect square.

Answers

Answer: 36

Step-by-step explanation: We can actually mental math this question, since perfect squares are squares obviously, 6 squared is 36. Hope this helps, 15402256!

A lab assistant is reading the scientist's notes and reads 2.7 × 10 - 4 grams.
How many grams is this?
2,700 grams
0.00027 grams
27,000 grams
0.0027 grams

Answers

Answer: 0.00027

Step-by-step explanation: 2.7 × 10 ^-4 = 0.00027

Which equation represents a line which is parallel to the line y = 5x – 5?


A)5x +y = 8
B)2 – 5y = -30
C)y - 5x = 2
D)3 + 5y = 30

Answers

Answer:

C) y-5x=2

Step-by-step explanation:

y-5x=2

y=5x+2 parrallel to y=5x-5

Can I get brainliest!

Using slope of the lines, we found that option C line y - 5x = 2 is parallel to given line y = 5x – 5.

What is slope of a line and find it using slope intercept form of a line?

Slope of a line is the measure of how steep a line is.

The slope intercept form of a line is y = mx + c

where y is y coordinate, x is x coordinate, m is the slope of the line and c is y intercept.

Also ,if two lines are parallel then their slopes are equal.

Given line is  y = 5x - 5 , this line is in slope intercept form y = mx +c

comparing with standard form slope , m = 5

Thus given line is of slope 5

A) 5x + y = 8

     ⇒ y = -5x +8

       Slope of the line y = -5x +8 is -5 ≠ 5 (slope of the given line)

   ∴ option A is not parallel to  y = 5x - 5

B) 2 – 5y = -30

  ⇒ 5y = 32⇒ y = 32/5

 y = 32/5 has slope 0 ≠ 5 (slope of the given line)

∴ option B is not parallel to  y = 5x - 5

C.) y - 5x = 2

   ⇒ y = 5x+ 2

  Using slope intercept form slope of option C is 5 = slope of the given  

   line

    ∴ option C is parallel to  y = 5x - 5

D.) 3 + 5y = 30

   ⇒ 5y= 27 ⇒ y = 27/5

   y = 27/5 has slope 0  ≠ 5 (slope of the given line)

  ∴ option D is not parallel to  y = 5x - 5

Therefore, Option C line y - 5x = 2 is parallel to given line y = 5x – 5.

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h=54+1/2at^2 solve for a
Im lost on if I should square the 1/2at first?

Answers

Answer:  a = (2h-108)/(t^2)

Other answer formats are possible.

===========================================================

Explanation:

Let's say we want to solve the equation h = 54 + 10a for the variable 'a'. This is relevant to the problem at hand don't worry.

What we'd do is two things

Subtract 54 from both sides Divide by 10

So the steps look like this

h = 54 + 10a

h-54 = 10a

(h-54)/10 = a

a = (h-54)/10

Now let's say we wanted to solve this equation: h = 54 + ca, where c is a constant and can stand in place of any number. The steps would be pretty much identical. Instead of dividing both sides by 10, we divide both sides by c. We can do this as long as c isn't zero of course.

That means the equation h = 54+ca solves to a = (h-54)/c

---------------------------

Why did I do those examples? To build up to the equation your teacher gave you.

Let's replace c with 0.5t^2

This is because 1/2 = 0.5

The 1/2at^2 is the same as (1/2t^2)a

So instead of a = (h-54)/c, we'd get a = (h-54)/(0.5t^2)

As a last optional and encouraged step, we can multiply every term by 2 to get rid of that decimal value.

Doing so makes a = (h-54)/(0.5t^2) turn into a = (2h-108)/(t^2)

---------------------------

Here's another way to solve:

h = 54 + (1/2)at^2

h-54 = (1/2)at^2

2(h-54) = at^2

2h-108 = at^2

(2h-108)/(t^2) = a

a = (2h-108)/(t^2)

In the second step, I subtracted 54 from both sides. Immediately afterward, I multiplied both sides by 2 so I could clear out the fraction. Then I divided both sides by t^2 to fully isolated the variable 'a'.

Find the distance between the point (5,12) and the line y = 5x + 12 (rounded to the nearest hundredth).
A. 1.36 units
B. 2.19 units
C. 4.81 units
D. 4.90 units

Answers

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

How to find the distance between a point and a line?

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 ? round your answer to one decimal place.

Answers

Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.

What is standard deviation?

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.

Here,

Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:

$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean

$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean

Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).

Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:

=1 - 1/2²

= 1 - 1/4

= 0.75

This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.

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A class of students recorded the amount of time spent on homework on Monday night.
The times are recorded below, in hours. Use the data to answer question 8
DATA:
1/3
4
2/1
2
2 2/3
4
1 1/3
4
1/1
4
3
3/1
4
3/3
4
2/2
8. Make a line plot small to big of the data shown above. Be sure to include a title and correctly
label each value

Answers

Answer:

here is a line plot of the data provided:

     |  

4.0   |                  X

     |

3.5   |

     |

3.0   |          X

     |

2.5   |

     |

2.0   |   X       X     X   X

     |_________________________

          1/3   1 1/3   2 1/3   3

Title: Homework Time on Monday Night

The plot shows the time in hours spent on homework by the students, with each "X" representing one data point. The horizontal axis represents the possible values of the data, and the vertical axis shows the frequency of occurrence of each value.

The values are labeled correctly on the horizontal axis, with each tick mark representing one possible value. The vertical axis is not labeled with specific values, but it is clear that the scale is in increments of

The quotient of twenty and a number, decreased by 4, is equal to zero

Answers

The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say that number is x,

Quotients of 20 and x will be given as 20/x

20/x - 4 = 0

20/x = 4

x = 20/4 = 5

Hence"The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5".

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Model the data in the table with a linear equation
in slope-intercept form. Then tell what the slope and y-intercept
represent.
Write the linear equation in slope-intercept form.
y =
(Use integers or decimals for any numbers in the expression.)
Time Worked, Wages Earned
x (h)
1
3
6
9
y (S)
8.00
24.00
48.00
72.00

Answers

The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.

The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.

The y-intercept is -5 and it represent the initial wages earned.

How to determine an equation of this line?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

m represent the gradient, slope, or rate of change.x and y represent the data points.c represent the vertical intercept.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (24.00 - 8.00)/(3 - 1)

Slope (m) = 16.00/2

Slope (m) = 8

At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:

y - y₁ = m(x - x₁)

y - 3 = 8(x - 1)

y = 8x - 8 + 3

y = 8x - 5

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Geometry Section 58C/School Year/
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A
Part B, and Part C
Part A: How many triangles can be formed if the measurements of a triangle are a 27,6-15, A-557
Part B: Explain how to determine the answer to Part A
Part C: Find all possible solutions for this triangle.
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Geometry Section 58C/School Year/For the three-part question that follows, provide your answer to each

Answers

1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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Let x be the number of points that can be scored on 1 question of a statistics exam. Below is the probability distribution of how students did. x 0 1 2 3 P(x ) 0.13 0.21 0.55 0.11 Find the probability that x is at most 2.

Answers

Answer: The probability that x is at most 2 = 0.89

Step-by-step explanation:

Let x be the number of points that can be scored on 1 question of a statistics exam.

Given table: x       0          1           2           3

                P(x) 0.13   0.21     0.55         0.11

\(P(X\leq2)=P(X=0)+P(X=1)+P(X=2)\\\\P(X\leq2)= 0.13+0.21+0.55\\\\P(X\leq2)= 0.89\\\\\)

Hence, the probability that x is at most 2 = 0.89

Find the mean, median, and mode for 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7.
Round to the nearest tenth if needed. ​

Answers

answer

for the median its 7

for the mean its 6.

the mode is 9

Step-by-step explanation:

The mode is the value that appears most frequently in a data set.

Median:The number in the MIDDLE when they are IN ORDER!

Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS!

The heights of a group of students are normally distributed with a mean of 160 cm
and a standard deviation of 20 cm. In this group of students, find the height of the
shortest 11.9%

Answers

11.9% of students have height less than 136.4cm. The solution has been obtained using probability.

What is probability?

Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value.

Let the height be 'd' cm.

We are given mean as 160 cm and standard deviation of 20 cm.

Probability(x>d) = 0.12

Probability(x<d) = 0.881

Probability(z ≤ d-160/20) = 0.881

⇒d-160/20 = 1.1800  (using table)

⇒d-160 = 23.6

⇒d = 183.6

Therefore, d-mean = -23.6

⇒d-160 = -23.6

⇒d = 160-23.6

d = 136.4cm

Hence, 11.9% of students have height less than 136.4cm.

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Pedrobuysawheelbarrowpricedat$86.Shippingandhandlingareanadditional30%oftheprice.HowmuchshippingandhandlingwillPedropay?

Answers

The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.

To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:

30% of $86 = 0.3 x $86 = $25.80

Therefore, Pedro will need to pay $25.80 for shipping and handling.

ninety-eight thousand ,five (how to write in numerical)?

Answers

Answer:

98005

Step-by-step explanation:

ninety-eight thousand = 98000

five = 5

together = 98005

Set up an equation and solve for x

Set up an equation and solve for x

Answers

Answer:

x=22

Step-by-step explanation:

3x+3+27+x+3+2x+18=180

6x+48=180

6x=132

x=22

Rachel works at an electronics store in a shopping mall. Her base pay is $1000 a month. Rachel also receives a commission of 2% of her sales total. The linear model that gives Rachel's total monthly pay, y, in terms of sales total, x, is y = 0.02x + 1000. What is the slope of the line and what does it mean?

Answers

the equation of line is y = 0.02x + 1000

the slope of the line is 0.02

and it is representing its commission value or rate of commission

A blimp is flying directly above a football field. The angle of depression to the base of one goal post is 40o. The angle of depression to the base of the other goal post is 72o. If the goal posts are 360 feet apart, how high is the blimp flying

Answers

Answer:

237.65 feet

Step-by-step explanation:

From the diagram attached,

Let the height of the blimp above the ground be h

From triangle A of the diagram,

tan18° = (360-y)/h

h = (360-y)/tan18°..................... Equation 1

Also

From triangle B in the diagram,

tan50° = y/h

h = y/tan50°.............................. Equation 2

Equation equation 1 and equation 2

(360-y)/tan18° = y/tan50°

tan50°(360-y) = tan18°(y)

1.19(360-y) = 0.325(y)

428.4-1.19y = 0.325y

428.4 = 0.325y+1.19y

1.515y = 428.4

y = 428.4/1.515

y = 282.8

Substituting the value of y into equation 2

h = 282.8/tan50°

h = 282.8/1.19

h = 237.65 feet.

A blimp is flying directly above a football field. The angle of depression to the base of one goal post

Charles McCoy is a manager at a coffee shop, and he has to decide how many workers to hire. One worker can make 20 drinks that sell for $3 on average in one hour. A second worker can make another 18 drinks in one hour. The marginal benefit of each additional worker decreases by two drinks, with each additional hire. Given that workers are paid $15 per hour and have eight-hour shifts, how many employees should Charles hire for each hour?

Answers

Charles should hire 20 workers for each hour.

To determine the optimal number of workers to hire, Charles needs to compare the marginal cost and marginal benefit of each additional worker.

The marginal benefit of each worker is the additional number of drinks they can produce multiplied by the average selling price per drink. The marginal cost is the hourly wage of each worker multiplied by the number of hours they work.

Initially, the marginal benefit of the first worker is 20 drinks * $3/drink = $60.

The marginal cost is $15/worker * 8 hours = $120.

The second worker has a marginal benefit of 18 drinks * $3/drink = $54.

The marginal cost is still $120.

For each additional worker hired, the marginal benefit decreases by 2 drinks * $3/drink = $6, while the marginal cost remains constant at $120.

Charles should hire workers as long as the marginal benefit is greater than the marginal cost.

Once the marginal benefit is equal to or less than the marginal cost, it is no longer profitable to hire more workers.

Therefore, Charles should hire workers until the marginal benefit is equal to the marginal cost, which occurs when the marginal benefit is $120.

To find out how many workers will provide a marginal benefit of $120, we set the marginal benefit equal to $120 and solve for the number of workers:

$6 * n = $120

$n = 20

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Other Questions
Let S be a nonempty set and define the relation A on (S) by (X,Y)AXY =It is clear that A is symmetric.(a) Explain why A is not reflexive.(b) Explain why A is not irreflexive.(c) Is A transitive?(d) Let S = {a, b, c}. Draw the directed graph for A, and find the incidence matrix that represents A. 1. How do plants affect levels of carbon dioxide in the atmosphere? I need help. Forget the step-by-step exclamation Carringbush Ltd is a large listed company which makes small electrical appliances. It is late April 20x5 and you are currently planning the 30 June 20XS audit. The auditor's report is due to be signed on 20 August 2005. During your planning, the following independent and material situations come to your attention: 1. On 1 January 20X5, Carringbush signed a 3-year contract with PK Pty Ltd for the supply of cardboard packing boxes for its entire range of products. PK was selected as an exclusive supplier after an exhaustive tender process. One of PK's two directors is Ms M, the wife of one of Carringbush's directors, Mr M. Company minutes reveal that Mr M did not take part in either the preparation of the tender documents or the selection of the successful tenderer. You note that details of this contract were omitted from the preliminary list of related party transactions supplied to you by the financial controller. 2. Carringbush introduced a new system for the control of inventory on 1 January 20X4. The company performed extensive testing on this new system and management was convinced that it was operating effectively. This system has a utility that can produce many specialised reports for internal use by management. The system is a B 2. Carringbush introduced a new system for the control of inventory on 1 January 2004. The company performed extensive testing on this new system and management was convinced that it was operating effectively. This system has a utility that can produce many specialised reports for internal use by management. The system is a perpetual inventory system; management decided that a year-end stocktake would no longer be required and instead decided to perform monthly cyclical counts to ensure the system was functioning correctly. 3. During the year ended 30 June 2004, Carringbush changed several of its accounting policies. One of the policies changed was accounting for employee entitlements. The effect on the 30 June 2004 financial statements was immaterial and so it was not disclosed, although it was expected to have a material effect in subsequent years. The financial controller is new to the company and appears to be unaware that recent changes have occurred in accounting policies. 4. In 20X3, Carringbush introduced a 'budget buster' range of small electrical appliances. The range was introduced to recapture the lower end of the appliance market, which Carringbush was slowly losing to cheaper imported products. Over the last 2 years, Carringbush began receiving reports that some budget buster electric kettles had been giving their users small electric shocks. Some of these kettles are still covered by warranty Required Discuss how your audit plan and audit approach would be affected as a result of each item. Why is it that real GDP is a better measure than nominal GDP for comparing economic output over time? Parts 3 Preamble to the U.S. Constitution "We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America." This is how I would rewrite the Preamble so that other people can understand it. I hope it helps increase support for the new Constitution. My Preamble: Asking again because last time I didnt get an actual answer. What is the surface area of this composite figure? write a test program that prompts the user to enter two vectors, each with five strings, and displays their intersection. How many solutions are there for the system of equations shown on the graph? an imc strategy helps marketers create a unified personality for the product or brand by aligning all of their various promotional mix tools to send a consistent and unified message.T/F What is the probability of rolling a 3 on a fair dice 50 times? Which part of Europe has the highest rate of opportunities for women? if someone has a antigen and rh antigen what type of blood would one have?(Please help quickly!) Find the reference angle for a rotation angle of 5pi/6 radians. Modern aircraft are designed in a way that, when all seats are occupied, the baggage compartment is full, and all fuel tanks are full, the aircraft is: Please help me solve this, I will give you brainliest 3Create a linear equation in the slope-intercept foform that contains points (2,-8) and (6,-4). Suppose the fixed cost of production for a commodity is $45,000. The variable cost is 60% of the selling price of $15.00 per unit. Find the breakeven level of output According to the ISLM model, which of the following would occur with increased government spending and increased money supply through quantitative easing? (a) There would be a rise in equilibrium national output and a fall in the equilibrium rate of interest. (b) There would be a rise in equilibrium national output and an unknown effect on the interest rate. (c) There would be a fall in equilibrium national output and a fall in the equilibrium rate of interest. (d) There would be a fall in equilibrium national output and a rise in the equilibrium rate of interest. A Question 72 (4 points) Retake question Energy (eV) -1.6 n-3 -3.4 n = 2 -13.6 n=1 The energy level diagram for a hydrogen atom is shown. What is the wavelength of the light emitted when an electron d