The double dot plot shows the values in two data sets.
Data
set A
Data
set B
10 20 30 40 50 60 70
Compare the data sets using measures of center and variation.
Data set A
Median =
IQR =
Data set B
Median =
IQR =

The statement is false because in a Poisson distribution, the probability of success does not vary from trial to trial.

The Poisson distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed time interval or spatial region, given the average rate of occurrence and assuming that the events are independent and random.

The Poisson distribution has only one parameter, λ, which represents the average rate of occurrence of the event.

The probability of observing k events in the interval is given by the Poisson probability mass function:

P(k) = (e^(-λ) * λ^k) / k!

where e is the base of the natural logarithm, and k is a non-negative integer.

The Poisson distribution assumes that the probability of observing an event at any given point in time or space is constant, and that the events are independent of each other.

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Answer:

Step-by-step explanation:

x - 3y = 24

-3y = 24 - x

y = -(24/3) - (1/3)x

y = -(1/3)x - 8

The slope is -(1/3).  A parallel line will have the same slope.

y=-(1/3)x - 4 has the same slope.  Therefore, it is parallel.

Answer:

42

Step-by-step explanation:

Answer: It would be 42 Centimeters! :D

The correct statements are:

b) Ordering costs decrease with respect to lot size,

c) It is good to have fixed interval ordering systems for products that have independent demand,

e) Taxes and insurance costs can be considered as carrying costs of inventory,

f) Costs incurred for defective products identified after the products are shipped are classified as internal failure costs,

h) Costs of repairing faulty products under warranty are limited to external failure costs, and j) Under EOQ inventory model, there is an assumption which states that there is no possibility of inventory stockout to occur.

b) Ordering costs decrease with respect to lot size: Ordering costs involve the expenses incurred when placing orders for inventory, such as administrative costs, processing fees, and transportation costs.

When the lot size increases, the frequency of placing orders decreases, resulting in lower ordering costs per unit. This is because the fixed costs associated with ordering are spread over a larger quantity of inventory.

c) It is good to have fixed interval ordering systems for products that have independent demand: Fixed interval ordering systems involve placing orders at regular intervals, regardless of the inventory level.

This approach is suitable for products with independent demand, where the demand is unpredictable or sporadic. By setting fixed intervals, the company can ensure a consistent replenishment schedule and avoid stockouts while optimizing inventory levels.

e) Taxes and insurance costs can be considered as carrying costs of inventory: Carrying costs are the expenses associated with holding and storing inventory.

They include costs such as storage fees, insurance premiums, taxes on inventory, and the opportunity cost of tying up capital in inventory. Taxes and insurance costs directly impact the financial burden of inventory holding and are considered as components of carrying costs.

f) Costs incurred for defective products identified after the products are shipped are classified as internal failure costs: Internal failure costs are expenses incurred due to quality issues discovered within the company's operations.

In the context of inventory, costs related to defective products identified after they are shipped, but before reaching the customer, fall under internal failure costs. These costs include rework, scrap, and any necessary corrective actions taken to address the quality problems.

h) Costs of repairing faulty products under warranty are limited to external failure costs: External failure costs are the expenses incurred due to quality issues discovered by customers after the products have been delivered.

When faulty products are repaired under warranty, the costs associated with the repairs are considered external failure costs. This includes the direct costs of repairing or replacing the faulty products and any associated customer service expenses.

j) Under EOQ inventory model, there is an assumption which states that there is no possibility of inventory stockout to occur: The Economic Order Quantity (EOQ) model is a widely used inventory management technique.

It assumes that demand for the product is constant and known with certainty, there are no quantity discounts or price variations, and there is no possibility of stockouts occurring.

The assumption of no stockouts simplifies the calculations and ensures that the optimal order quantity obtained from the model will meet the demand without interruptions.

However, in real-world scenarios, stockouts can occur due to unforeseen factors, variability in demand, or supply chain disruptions.

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the missing TR amount for Group 1 is $200 and the missing MR amount is $30.

To calculate the missing TR (total revenue) and MR (marginal revenue) amounts for Group 1, we need to use the given data in the table.

Total revenue (TR) is calculated by multiplying the price (P) with the quantity (Q), while marginal revenue (MR) is the change in total revenue resulting from selling an additional unit of output.

Looking at the table for Group 1, we see that the price (P) is $10 and the quantity (Q) is 20. Therefore, the TR for Group 1 can be calculated as:

TR = P x Q = $10 x 20 = $200.

To calculate MR, we need to compare the change in total revenue when the quantity increases from 20 to 30 units. From the table, we see that the total revenue for Group 1 when the quantity is 30 is $230.

Therefore, the marginal revenue for Group 1 can be calculated as:
MR = TR2 - TR1 = $230 - $200 = $30.

So, the missing TR amount for Group 1 is $200 and the missing MR amount is $30.

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Answer:

113.04 cm.

Step-by-step explanation:

Step 1: Formula/explain

To find the area of a circle, multiply the radius by itself twice, then multiply the product pi.

\(a=\pi r^2(3.14*radius*radius)\)

Step 2: Solve

According to the word problem, the circle has a diameter of 12. This means it has a radius of 6.

Now, we plug the numbers into formula.

\(\pi 6^2 (3.14*6*6)=113.04\)

Step 3: Conclude

Therefore, the area of this circle is 113.04 cm.

Answer:

it is 130 degrees

Step-by-step explanation:

we al ready know it is biger than 50 and if you use protractor you will see 130

You can rewrite (z ≤ −1.75) as z = -1.75 and z < -1.75 in order to find the answer.

The means of <, >, ≤ and ≥ in mathematics are as follows:

< (less than): This symbol is used to indicate that one value is less than another.

> (greater than): This symbol is used to indicate that one value is greater than another.

≤ (less than or equal to): This symbol is used to indicate that one value is less than or equal to another.

≥ (greater than or equal to): This symbol is used to indicate that one value is greater than or equal to another.

The expression from the question is z ≤ −1.75.

To find the answer, we can rewrite the expression as:

z = -1.75 and z < -1.75

The first expression means the value of z is equal to -1.75.

The second expression means the value of z is less than the value -1.75

This means that the answer is any value of z that is less than and equal to -1.75.

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The complete question is:

How can you rewrite (z ≤ −1.75) in order to find the answer?

Answer:

4a). 0.52

Step-by-step explanation:

-2(-5.2) × 0.1÷2= 0.52

Answer:

Step-by-step explanation:

A sloping line on a speed-time graph represents an acceleration . The sloping line shows that the speed of the object is changing. The object is either speeding up or slowing down. The steeper the slope of the line the greater the acceleration.

Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

0 < x ≤ 100 and 0 < y ≤ 300

x > 0 and y > 0

0 < x ≤ 100 and y > 300

0 < x and y < 100

SOLUTION

they only have space to accept 100 out-of-state students,which means that the Maximum number of out-of-state students that can be accepted is 100

Then x= 100(Maximum number of out-of-state students that can be accepted)

They plan to accept three times as many in-state students as out-of-state which means that

Y = 3x(Maximum number of in-state students)

Then we can deduced that the numbee out-of-state students that can be accepted can lyes between the range of 0 and 100 which means from interval 0 to 100

Which can be written as 0 < x ≤ 100

But we need to know the interval for the Maximum number of in-state students(Y), to do that we need to multiply the equation above by 3 since Y = 3x

0 < x ≤ 100

3× 0 = 0

3× X = X

3× 100= 300

Then 0 < 3x≤ 300

But we know that Y = 3x then substitute into last equation

We have

0 < y ≤ 300

ThenBthe constraints to represent the incoming students at the college is

0 < x ≤ 100 and 0 < y ≤ 300

Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

took test & got it right

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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Answer:

Y = 58

X = 66

Step-by-step explanation:

So the markers mean that those sides of the triangle are congruent. Because of this, we know that the angles opposite from those sides are equal as well.

In the big triangle, Y will be equal to the empty angle. You can then use:

180 = 64 + 2*Y

Then, solving for Y, you get:

Y = (180-64)/2

Y = 58

You can use the same idea for the smaller triangle. The empty angle will be the same as the angle marked as 57.

180 = 57*2 + X

Then, solving for X, you get:

X = 180 - 57*2

X = 66

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

The 'dynamicrotate' function takes a number as input and performs some dynamic rotation operation.

The 'dynamicrotate' function is designed to accept a parameter `num`, which represents the input number. The purpose and specific details of the dynamic rotation operation are not specified in the question, so it is assumed that the functionality of the rotation operation needs to be defined.

To provide a complete explanation, the specific steps and behavior of the dynamic rotation operation would need to be defined. For example, it could involve rotating the digits of the number, shifting the bits of a binary representation, or rotating elements in a list.

The implementation of the 'dynamicrotate' function would depend on the desired behavior of the dynamic rotation operation. It could involve mathematical operations, string manipulation, or other programming constructs based on the intended functionality. Here is a basic example of the 'dynamicrotate' function, which simply returns the input number unchanged:

```python

def dynamicrotate(num):

   return num

```

This is a placeholder implementation that can be modified based on the specific dynamic rotation operation required.

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The volume of the rectangular prism is 27 inch³.

Given that,

We are going to find the volume of the given rectangular figures in the picture.

The volume of a three-dimensional figure is the amount of rectangular units required to completely fill the interior space.

Volume of the rectangular prism is length×width×height.

Volume of a cube is (side length)³.

If we take each cube from a figure u will get the side length as 1 inches.

So, The 1 cube volume is S³

=1³=1 inch³

Now, we take each cube row's.

Each row as 9 cubes

We get the volume as 9 inch³.

Then there are 3 rows in the diagram.

=9+9+9

=27 inch³

Therefore, The volume of the rectangular prism is 27 inch³.

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The probability that a randomly selected student used acrylic paint given that the student chose to create a portrait is 3/5 or 60%.

To find the probability that a randomly selected student used acrylic paint given that the student chose to create a portrait, you can use the conditional probability formula:

P(Acrylic Paint | Portrait) = P(Acrylic Paint and Portrait) / P(Portrait)

From the given data:

- There were 3 students who used acrylic paint and created a portrait.
- There were a total of 5 students who created a portrait (3 with acrylic paint and 2 with oil paint).

So, the probability calculation would be:

P(Acrylic Paint | Portrait) = (3/5) / (5/5) = 3/5

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Answer:

the ray BD intersects GA (not arrow, straight line) at point b

The integral that represents the area of the region bounded in the first quadrant by x = π/4 and the functions f(x) = sec^2(x) and g(x) = sin(x) is π/4 (sec^2(x) - sin(x))dx.

To find the area of the region bounded by the curves, we need to subtract the integral of the lower curve from the integral of the upper curve. In this case, the upper curve is f(x) = sec^2(x) and the lower curve is g(x) = sin(x).

The integral representing the area is given by:

Area = ∫[a,b] (f(x) - g(x))dx

Substituting the given functions, we have:

Area = ∫[0,π/4] (sec^2(x) - sin(x))dx

This integral represents the area bounded by the x-axis, the curve y = sec^2(x), the curve y = sin(x), and the vertical line x = π/4. The integral of (sec^2(x) - sin(x))dx over the interval [0,π/4] calculates the area between the two curves within the specified region.

Therefore, the correct integral that represents the area of the region in the first quadrant is π/4 (sec^2(x) - sin(x))dx.

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Approximately 7 bags of soil are needed to fill the land.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is garden that needs 5 3/6 pounds of soil. The bag of soil contains only 5/6 of soil.

The total number of bags of soil you need to buy are -

n = (33/6)/(5/6)

n = 33/6 x 6/5

n = 33/5

n = 6.6

n = 7 (approx.)

Therefore, approximately 7 bags of soil are needed to fill the land.

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The the coordinate grid containing a U shape with arrows on both ends that opens to the right and passes through the origin is a function. Therefore, the correct option is option 1.

To determine which relation is a function, you should consider these three graphs:

1. A coordinate grid containing a U shape with arrows on both ends that opens to the right, with the bottom portion passing through the origin.

2. A coordinate grid with the graph of a circle centered at the origin and passing through the point (2, 1).

3. A coordinate grid with the graph of a vertical line at x=3.

A relation is a function if each input (x-value) has exactly one output (y-value).

1. The U shape with arrows on both ends that opens to the right is a parabola. In this case, for every x-value, there is only one corresponding y-value. Therefore, this relation is a function.

2. The graph of a circle centered at the origin and passing through the point (2, 1) is not a function. This is because there are x-values that have more than one corresponding y-value (e.g., points on opposite sides of the circle sharing the same x-value). Hence, this relation is not a function.

3. The coordinate grid with the graph of a vertical line at x=3 is not a function either. In this case, every x-value (3) has an infinite number of y-values, which violates the definition of a function.

In conclusion, among the given relations, option 1: the coordinate grid containing a U shape with arrows on both ends that opens to the right and passes through the origin is a function.

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Answer:

as in pic below

Step-by-step explanation:

The probability that both Rachel and Robert are in the picture is 3/16.

The terms probability and possibility are interchangeable. It is a mathematical branch concerned with the occurrence of a random event. The value is between 0 and 1. In mathematics, the probability was introduced to predict the likelihood of events occurring.

Given that

Rachel and Robert both begin at the same point

Rachel completes a lap every 90 seconds.

Robert completes a lap every 80 seconds.

The photographer captures 1/4th of the track, centered on the starting line.

As a result, the photo captures 1/8th of the track on either side of the starting line.

The photographer captures it between 10 and 11 minutes, or 600 and 660 seconds.

Let us calculate the time interval between 600 and 660 seconds during which Rachel and Robert will be running in the quarter-length region of the track centered on the starting line. Specifically, 1/8th of the track length on each side of the starting line.

Robert will complete 1/8th of a lap in 10 seconds. So, between 630 and 650 seconds, Robert will be in the area of the ground captured by the photographer.

Rachel finishes one lap in 90 seconds. As a result, Rachel will take the starting line at the 630th second (after 7 laps).

Rachel will complete 1/8th of a lap in 90/8 seconds. So, Rachel will be in the area of the ground captured by the photographer from (630 - 90/80) seconds to (630 + 90/80) seconds.

i.e., for a duration of 90/80 seconds out of the 60 seconds both of them are in the frame captured by the photographer.

Required probability = {time window in which both Rachel and Robert are in the favorable zone}/{time window in which the photographer captures the picture}

= {90/8}/60

= 3/16

Therefore the probability that both Rachel and Robert are in the picture is 3/16

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Answer: 60

Step-by-step explanation:

If you subtract how much money you already had(54.75) from what you spent(79.99) you get 25.24. You then add 25.24 to the koney you had left(34.76) to get you answer of 60

Answer:

127

Step-by-step explanation:

x=127

corresponding angles

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

From the question, we have the following parameters that can be used in our computation:

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Answer:

the answers 200

Step-by-step explanation:

Answer:

200$

Step-by-step explanation:

for 1 year it will charge 100$ and if you rent 20 toys in that year the toys will cost 100$ as well so if you add 100+100 you get 200 so the answer is 200$

To simplify, write each mixed number as a proper fraction.

To write a mixed number as a proper fraction add the whole part and the fraction part.

Addition and substraction of fractions:

Write 10 3/4 as a porper fraction:

Write 4 7/8 as a proper fraction:

Then, you have the next substraction of fractions: