You are told that X ($), the amount spent per patron at the
Royal Brisbane show is normally distributed with mean $49.75 and
standard deviation $13.60. Given this, answer the following
questions:
a) D

Given

Solution

When T=140

Apply exponent rule

The final answer

t =1 7.7552years

Multifactor productivity is a measure that assesses the efficiency and effectiveness of a production process by considering the combined contribution of multiple inputs or factors of production. It quantifies the ratio of output to a combination of inputs, such as labor, capital, energy, materials, and other resources utilized in the production process.

To compute the multifactor productivity measure for each week, we need the following information:

1. Labor cost: We know the hourly wage is $16, and each week has 40 hours of work. Therefore, the labor cost for a week can be calculated as $16/hour * 40 hours = $640.

2. Overhead cost: The overhead cost is given as 1.5 times the weekly labor cost. Therefore, the overhead cost for a week is 1.5 * $640 = $960.

3. Material cost: The material cost is given as $9 per pound. We need additional information about the pounds of material used in each week to calculate the material cost.

Once we have the labor cost, overhead cost, and material cost for each week, we can calculate the multifactor productivity measure using the formula:

Multifactor Productivity = Output / (Labor Cost + Overhead Cost + Material Cost).To compute the multifactor productivity measure, we need the following information for each week:

1. Total output (number of chocolate bars produced)

2. Labor cost (total hours worked by employees)

3. Overhead cost (1.5 times the labor cost)

4. Material cost (total pounds of material used)

Let's assume we have data for two weeks:

Week 1:

- Total output: 500 chocolate bars

- Labor cost: 320 hours

- Material cost: 400 pounds

Week 2:

- Total output: 600 chocolate bars

- Labor cost: 400 hours

- Material cost: 500 pounds

First, we need to calculate the labor cost and overhead cost for each week:

Week 1:

- Labor cost = 320 hours * $16/hour = $5,120

- Overhead cost = 1.5 * $5,120 = $7,680

Week 2:

- Labor cost = 400 hours * $16/hour = $6,400

- Overhead cost = 1.5 * $6,400 = $9,600

Next, we calculate the total cost for each week by adding the labor cost, overhead cost, and material cost:

Week 1:

- Total cost = $5,120 (labor cost) + $7,680 (overhead cost) + ($9/pound * 400 pounds) = $5,120 + $7,680 + $3,600 = $16,400

Week 2:

- Total cost = $6,400 (labor cost) + $9,600 (overhead cost) + ($9/pound * 500 pounds) = $6,400 + $9,600 + $4,500 = $20,500

Finally, we can compute the multifactor productivity measure using the formula:

Multifactor Productivity = Total output / Total cost

Week 1:

- Multifactor Productivity = 500 bars / $16,400 = 0.0305 bars/dollar

Week 2:

- Multifactor Productivity = 600 bars / $20,500 = 0.0293 bars/dollar

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Vertex of angle DCF: (9, 8)

Endpoint of ray DF: (6, 6)

Upper endpoint of segment BF: (9, 10)

Vertex of angle AGB: (7, 9)

Vertex of angle BAE: (5, 8)

Endpoint of ray FC: (9, 5)

From the given diagram, we can say that;

1) Vertex is the meeting point of a pair of sides in this case and so, we have that the Vertex of angle DCF is; (9, 8)

2) Endpoint of ray DF is at point D which is; (6, 6)

3) Upper endpoint of segment BF is at point B which is; (9, 10)

4) Vertex of AGB is at point G which is; (7, 9)

5) Vertex of angle BAE is at point A which is (5, 8)

6) Endpoint of ray FC is point C which is (9, 5)

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To find the sales of CDs one standard deviation from the mean, we first need to find the mean and standard deviation of the data:

Step 1: Find the mean

mean = (14 + 17 + 20 + 24 + 25) / 5 = 20

Step 2: Find the variance

variance = [(14 - 20)² + (17 - 20)² + (20 - 20)² + (24 - 20)² + (25 - 20)²] / 5

        = (36 + 9 + 0 + 16 + 25) / 5

        = 17.2

Step 3: Find the standard deviation

standard deviation = sqrt(variance) = sqrt(17.2) ≈ 4.15

Now, to find the sales of CDs one standard deviation from the mean, we can add and subtract the standard deviation from the mean:

One standard deviation below the mean: 20 - 4.15 ≈ 15.85

One standard deviation above the mean: 20 + 4.15 ≈ 24.15

Therefore, the sales of CDs one standard deviation below the mean is approximately 15.85 and the sales of CDs one standard deviation above the mean is approximately 24.15.

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Answer:

The formula for the area of a circle is A=pir^2. A stands for the area, r is the radius. Ignore the pi, you don't need that. Just take the radius^2 and multiply it. For example, if I had A=pi5^2, my answer would be A=25pi, because 5^2=25. :)

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

The area of a circle is:

\(A=\pi r^{2}\) in terms of pi

with \(\pi\) being 3.14..., r being radius, and ²-ing the radius.

Hope this helps! :)

Answer:

distributive propriety

Step-by-step explanation:

Step 1 was distributive propriety  because

We distributed the multiplication between 14 and (x+5) over the addition x+5

If we have 14 multiply by a number will just do that. (e.g. 14*3= 42)

If we have 14 multiply by a number written as the sum of others we need to distribute to each part. (e.g. 14*(1+2) = 14*1 +14*2 = 14+28 = 42)

Answer:

The number of boys participating is:

              (212 / 4) x 5 = 265 boys

So there are 265 boys participating in sports

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Answer:

Step-by-step explanation:

Simplify by combining the like terms in steps

Let's see

The standard equation of a parabola is given by \(y = (1/4a) x^2 + k\). Where the parabola opens upwards or downwards and k is the y-coordinate of the vertex. The value of 'a' is given by the distance between the focus and the vertex of the parabola.

The distance between the directrix and the vertex is also 'a'. The vertex of the parabola lies on the axis of symmetry of the parabola. The axis of symmetry of the parabola is given by x = h, where h is the x-coordinate of the vertex. Therefore,the vertex of the parabola is the midpoint of the focus and the directrix.

The midpoint of the focus (-3, -5/4) and the directrix y = -3/4 is given by\(((x-coordinate of focus), (y-coordinate of directrix + y-coordinate of focus)/2)= (-3, (-3/4 - 5/4)/2)= (-3, -1)\). The vertex of the parabola is (-3, -1). Since the focus of the parabola is (-3, -5/4), the distance between the focus and the vertex is given by \((Distance between focus and vertex) = |y-coordinate of focus - y-coordinate of vertex|= |-5/4 + 1|= 1/4\).

Thus, the equation of the parabola is given by\(y = (1/4a) x^2 - 1\)

We have\(y = (1/4a) x^2 - 1\) as the equation of the parabola. We know that the distance between the focus and the vertex of the parabola is a distance away from the vertex along the axis of symmetry (in this case, x-axis). Therefore, the focus (-3, -5/4) lies '1/4' distance below the vertex (-3, -1).Therefore, the equation of the parabola is given by the equation\(y = (1/4a) x^2 - 1\) whose vertex is at (-3, -1) and focus is at (-3, -5/4). Hence, option D is correct.

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The conversion of the given equation  6x 10¹ s = 60000ms.

To convert time to hours, divide it by 24, the number of hours in a day. When converting time onto minutes, multiply it by 1440 (the number of minutes in a day, 24*60). To convert time to seconds, multiply it by 86400 (the number of seconds in a day) (24*60*60).

6x 10¹ s

This can be written as:

60 s

To Calculate Seconds To Milliseconds

Simply increase your seconds by 1000 to convert seconds to milliseconds. This is the formula:

Yms = Xs * 1000

We know that:

1s = 1000ms

So,

60s = 1000 * 60

      = 60000ms.

To Calculate Seconds To Milliseconds

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Answer:

-4

Step-by-step explanation:

5 - 9 = -4.

Only 4 - 9 = -5 is smaller, but it is an odd number.

Answer:

-1

Step-by-step explanation:

5-7= -2, 7-9= -2

4-9= -5, 4-5= -1

Therefore , the solution of the given problem of volume comes out to be ceramic mug has a 5 inch height.

A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. The indications for cubic measurements are litre and in3. However, you have to be cognizant of an object's volume in order to calculate its dimensions. Converting an object's weight into metric units like iii . and kilogrammes is a standard technique.

Here,

The following formula determines a cylinder's volume:

=> V = π * r² * h

where r is the cylinder's radius and h is its height, and is roughly equivalent to 3.14.

For the mug made of stainless steel:

1.5 inches is the radius (r).

Height in inches (h) is 8.5

With these values entered into the formula, we obtain:

=> V = 3.14 * (1.5)² * 8.5

=> V ≈ 3.14 * 2.25 * 8.5

=> V ≈ 60.14

The stainless steel mug has a 60 cubic inch volume, rounded to the nearest whole number.

Regarding the mug:

Radius (r) equals two inches

Given that it has the same volume as the stainless steel mug, its volume (V) is equal to 60 cubic inches.

=> 60 = 3.14 * (2)²* h

=> h = 60 / (3.14 * 4)

=> h ≈ 4.77

The ceramic mug has a 5 inch height.

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Answer: A

Step-by-step explanation:

Francis = v+9

17 = v +9 so A

Answer:

it would be a

The compound inequality can be used to find the miles per gallon of the 2012 Ford Fusion is 140 ≤ 5m ≤ 200.

We have,

The 2012 Ford Fusion can go an estimated 140 miles on 5 gallons of gas.

An estimated 200 miles on 5 gallons of gas on the highway.

We can frame the compound inequality from here.

let the m be amount of miles per gallon used.

So, to find the miles per gallon of the 2012 Ford Fusion we can write

140 ≤ 5m ≤ 200.

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Answer: 7/11

Step-by-step explanation:

12/22 +1/11  = 12/22 + 2/22 (make the denominator the same number, in this case the lowest common multiple of 11 and 22, which is 22)

12/22 + 2/22 = 14/22

14/22 = 7/11  (divide both the numerator and denominator by 2)

Answer:

girl = 7

boy = 5

Step-by-step explanation:

Answer:

boy = 5

girl = 7

what direction are you being asked to reflect them

Step-by-step explanation:

i can give an easy answer and explanation then

Answer:

-5 Faces

-10 Edges

-6 Vertices

Step-by-step explanation:

Folded out there are 3 rectangles and 2 triangles, 5 faces

Count the straight lines, no dotted, it's 10 edges

Count the corners only and the top of the triangles 6 vertices

The decryption of ciphertext "gbshbjuhbwxhzhxwhu"
The function f: Z26→Z26 is defined as f(x) = 3x5−9x3−5x+1(mod 26).The decryption is calculated as f−1(y)=(7y+15)(−3)(mod26)Step-by-step solution: Using the formula for decryption:
f-1(y) = (7y+15)(-3)(mod 26)
Calculating the decryption:
=> f-1(g) = (7 * 6 + 15) * (-3) = -159= -159 + 4 * 26 = 49
=> f-1(b) = (7 * 1 + 15) * (-3) = -72= -72 + 3 * 26 = 6=> f-1(s) = (7 * 18 + 15) * (-3) = -333= -333 + 13 * 26 = 55
=> f-1(h) = (7 * 7 + 15) * (-3) = -138= -138 + 6 * 26 = 24
=> f-1(j) = (7 * 9 + 15) * (-3) = -198= -198 + 8 * 26 = 10
=> f-1(u) = (7 * 20 + 15) * (-3) = -483= -483 + 18 * 26 = 15
=> f-1(h) = (7 * 7 + 15) * (-3) = -138= -138 + 6 * 26 = 24
=> f-1(b) = (7 * 1 + 15) * (-3) = -72= -72 + 3 * 26 = 6
=> f-1(w) = (7 * 22 + 15) * (-3) = -534= -534 + 20 * 26 = 46
=> f-1(x) = (7 * 23 + 15) * (-3) = -561= -561 + 22 * 26 = 39
=> f-1(h) = (7 * 7 + 15) * (-3) = -138= -138 + 6 * 26 = 24
=> f-1(x) = (7 * 23 + 15) * (-3) = -561= -561 + 22 * 26 = 39
=> f-1(w) = (7 * 22 + 15) * (-3) = -534= -534 + 20 * 26 = 46
=> f-1(h) = (7 * 7 + 15) * (-3) = -138= -138 + 6 * 26 = 24
=> f-1(u) = (7 * 20 + 15) * (-3) = -483= -483 + 18 * 26 = 15
Decrypted text: gbshbjuhbwxhzhxwhu → gszwjeitjpkotixibq

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Answer:

20 meters

Step-by-step explanation:

The area of a rhombus is the height multiplied by the base. Conversely, the height of a rhombus is the area divided by the base. Therefore, the height of this rhombus is 20 meters. Hope this helps!

We have that the tangents which meet at the same point outside the circle have the same length:

Then, in this case:

Now that we have all the measures, we find the perimeter just by adding them:

6 + 6 + 9 + 9 + 12+ 12 = 54

Answer: the perimeter of the figure is 54

Answer:

\(8\sqrt[4]{2x} +2x\)

Step-by-step explanation:

jesus said so

Answer:

circle=6, triangle=2, star=8, square=4

Step-by-step explanation:

6+2=8

6-2=4

8+4=12

8-4=4

4+4=8

Given: A ∆ABC such that bisectors of angle ABC and angle ACB meet at a point O.

To prove: angle BOC = 90°+1/2angle A

Proof: Using angle sum property in ∆BOC, we obtain

angle 1+ angle 2 + angle BOC = 180°...(I)

Using angle sum property in∆ABC, we obtain

angle A + angle B + angle C = 180°

or, angle A + 2(angle 1) + 2(angle 2) = 180° [Since BO and CO are the bisectors of angle ABC and angle ACB respectively, then, angle B = 2(angle 1) and angle C = 2(angle 2)]

or, angle A/2 + angle 1 + angle 2 = 90° [Dividing both sides by 2]

or, angle 1 + angle 2 = 90° - angle A/2 ...(ii)

Substituting this value of angle 1 + angle 2 in (i), we get

90°-angle/2+angle BOC = 180°

or, angle BOC = 180°-90°+angle A/2

or, angle BOC = 90° + 1/2 angle A [Proved]

Answer:

Step-by-step explanation:

the next term is 14

This month's forecast using exponential smoothing with alpha = 0.2, if August's forecast was 145 is  148..

The exponential window function is a general method for smoothing time series data known as exponential smoothing. In contrast to the ordinary moving average, which weights previous data equally, exponential functions use weights that decrease exponentially with time.

The exponential smoothing with an alpha of .2 can be expressed as

F(t) = α*D(t) + (1-α)*F(t-1)

α = 0.2

F(t) = forecast for this month (October)

D(t) = actual demand for the last month (September) = 160

F(t-1) = forecast for last month (August) = 145

Then this can be expressed as ;

0.2*160 + (1-0.2)*145

= 32 + 116

= 148

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complete question;

The owner of Darkest Tans Unlimited in a local mall is forecasting this month's (October's) demand for the one new tanning booth based on the following historical data: col1 Month April May June July August September col2 Number of Visits 100 140 110 150 120 160 What is this month's forecast using exponential smoothing with alpha =. 2, if August's forecast was 145? a. 163b. 142 c. 148 d. 140 e. 144

Answer:

\(\boxed{\sf{{y=\dfrac{25}{4}=6.25}}}\)

Step-by-step explanation:

Solution: Multiplication property of equation solves this problem.

For the correct answer, you need to isolate Y from one side of the equation.

\(\sf{\dfrac{5}{12}=\dfrac{y}{15} }\)

You can also switch sides.

y/15=5/12

Multiply by 15 from both sides.

\(\sf{\dfrac{15y}{15}=\dfrac{5*15}{12}}\)

Solve.

5*15=75

75/12

Divide by 3.

75/5=25

12/3=4

Rewrite as a fraction.

\(\sf{y=\dfrac{25}{4} }\)

Dividing is another option.

25/4=6.25

\(\boxed{\sf{y=\frac{25}{4}=6.25 }}\)

Therefore, the final answer is y=25/4=6.25.

I hope this helps you! Let me know if my answer is wrong or not.

Answer: y=2.5x+90

Step-by-step explanation:

idk

Answer: y =2.5x+90

Step-by-step explanation:

Answer:

-8/3

Step-by-step explanation:

8x + 3y = - 9

Let's make y the subject of the formula.

y = - 9/3 - 8x/3

Rearrange

y = - 8x/3 - 3

The slope is the coefficient of x which is - 8/3

If you don't understand, please leave a comment

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