Ross made a scale drawing of his workshop as shown below. What is the actual width
of his workshop?

Answer:

C

Step-by-step explanation:

Answer:

9,310 potato plants

Step-by-step explanation:

245 x 38 = 9,310

Answer:

5 if I'm not wrong 15/3=5

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

If there is a low supply and a high demand, there is an increase in price and vice versa.

Last 2012, there was a virus which infected millions of chicken. It was known as Avian influenza or bird flu. It resulted to scarcity of eggs.

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

For example we can use water. If a product becomes scarce its price would increase due to supply in demand.

If drinkable water became scarce its price would be greatly increased to its need and being in extreme demand.

In short,  if there is a low supply and a high demand, there is an increase in price and vice versa.

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Step-by-step explanation:

The scalar projection of a vector b onto a vector a is given by the dot product of b and the unit vector of a:

p = (b · u) * u

where u is the unit vector of a, and can be found by dividing a by its magnitude:

u = a / ||a||

The vector projection of b onto a is simply the scalar projection scaled by the unit vector:

p = p * u

For the given vectors a = ⟨-5,12⟩ and b = ⟨4,6⟩, we first find the unit vector u:

u = a / ||a|| = ⟨-5,12⟩ / ||⟨-5,12⟩|| = ⟨-5/13,12/13⟩

Next, we find the dot product of b and u:

p = (b · u) = ⟨4,6⟩ · ⟨-5/13,12/13⟩ = (4 * -5/13) + (6 * 12/13) = -20/13 + 72/13 = 52/13

So the scalar projection of b onto a is p = 52/13.

Finally, we find the vector projection by scaling the unit vector u by the scalar projection:

p = p * u = (52/13) * ⟨-5/13,12/13⟩ = ⟨-52/169,104/169⟩

So the vector projection of b onto a is p = ⟨-52/169,104/169⟩.

Dijkstra's algorithm calculates the shortest path from vertex 7 to all other vertices in the graph, forming a tree structure where vertex 7 is the root.

Dijkstra's algorithm is a graph traversal algorithm used to find the shortest path between two vertices in a weighted graph. To find the sink tree rooted at vertex 7, we can apply Dijkstra's algorithm starting from vertex 7. The algorithm proceeds by iteratively selecting the vertex with the smallest distance from the current set of vertices and updating the distances to its adjacent vertices.

Starting from vertex 7, we initialize the distance of vertex 7 as 0 and the distances of all other vertices as infinity. Then, we explore the adjacent vertices of vertex 7 and update their distances accordingly. We repeat this process, selecting the vertex with the smallest distance each time, until we have visited all vertices in the graph.

The result of applying Dijkstra's algorithm to find the sink tree rooted at vertex 7 is a tree structure that represents the shortest paths from vertex 7 to all other vertices in the graph. Each vertex in the tree is connected to its parent vertex, forming a directed acyclic graph. This sink tree provides a clear visualization of the shortest paths and their corresponding distances from vertex 7 to each vertex in the graph.

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Answer:

5.2

Step-by-step explanation:

ok so we need to find the unit rate( how many customers per minute) and thats 12 divided by 9 which is 1.3 minutes per customer so now we need to find what 1.3 minutes is x4 customers. This brings us to 5.2.

The problem "125×64" in expanded-form is written as (100 × 60) + (100 × 4) + (20 × 60) + (20 × 4) + (5 × 60) + (5 × 4).

In mathematics, the "Expanded-Form" is defined a way of representing a number as a sum of its constituent parts, usually using place value notation.

It involves expressing a number as the sum of its individual-digits or place value components, such as units, tens, hundreds, thousands, etc., multiplied by their respective place value powers of 10.

We have to write the product "125 × 64" in the expanded form,

So, the product "125 × 64" in expanded form can be written as :

⇒ 125 × 64 = (100 + 20 + 5) × (60 + 4),

⇒ (100 × 60) + (100 × 4) + (20 × 60) + (20 × 4) + (5 × 60) + (5 × 4),

Therefore, the expanded form of 125 × 64 is: (100 × 60) + (100 × 4) + (20 × 60) + (20 × 4) + (5 × 60) + (5 × 4).

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The approximate P-value for this test is D. 0.01267.

From the information, Mrs. Peterson claims to produce random numbers from 1 to 5 (inclusive) on her calculator, but you've been keeping track. In the past 80 selections, the number "five" has come up only 8 times.

The p(cap) will be:

= 8 / 80

= 0.1

The z score will be:

= (0.1 - 0.2) / (✓0.2(0.8)/80

= -0.1 / ✓0.0019

= -2.236

= -2.24

By using the distribution table after getting the z score, the p value is 0.01267.

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Answer:

27

Step-by-step explanation:

1+17=18 and then 18+9=27

Answer: 27 years old

Step-by-step explanation: 1 + 17 = 18. He is 18 years old now.

18 + 9 = 27. He will be 27 years old then.

a) To find the equation of the line tangent to the graph of f at x = e^2, we need to find the slope of the tangent line and the y-intercept. The slope of the tangent line is given by the derivative of f evaluated at x = e^2: f'(e^2) = (1 - ln(e^2))/(e^2)^2 = (1 - 2)/e^4 = -1/e^4

The y-intercept is found by plugging x = e^2 into the original function and finding the corresponding y-value: f(e^2) = ln(e^2)/e^2 = 2/e^2

We can use this information to write the equation of the tangent line in point-slope form: y - f(e^2) = -1/e^4(x - e^2)

b) To find the x-coordinate of the critical point of f, we need to find the value of x at which f'(x) = 0 or is undefined.

f'(x) = (1 - lnx)/x^2

When we set f'(x) to 0, we get 1 - lnx = 0 lnx = 1 x = e.

As a result, the critical point is at x = e.To determine whether this point is a relative minimum, a relative maximum, or neither, we need to find the second derivative of f(x) and evaluate it at x = e.

f''(x) = -(1 + lnx)/x^3

Evaluating at x = e, we get: f''(e) = -(1 + ln(e))/e^3 = -(1 + 1)/e^3 = -2/e^3

Since the second derivative is negative, the critical point is a relative maximum.

c) To find the x-coordinate of the point of inflection, we need to find the value of x at which f''(x) = 0.

f''(x) = -(1 + lnx)/x^3

Setting f''(x) = 0, we get 1 + lnx = 0 lnx = -1 x = e^-1

So the point of inflection is at x = e^-1.

d) To calculate f(x) = lnx/x, we need to substitute the value of x into the function. f(x) = lnx/x

For example, if we want to calculate f(2) f(2) = ln(2)/2 = 0.693147180559945/2 = 0.346573590279973

So f(2) = 0.346573590279973

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.5 years, and standard deviation of 3 years. the 6% of items with the shortest lifespan will last less than 9.2 years.

Mean = u = 9.5 years

std. d = 2.3 years

then 1% of items with the shortest lifespan will last less than:

P [X<x] = 0.01

P [x-u/d] = 0.01

therefore we know P [z<x-9.5/2.3] = 0.01

using the z table, we get:

z = 2.326

x - 9.5/2.3 = -2.326

therefore x = 4.1502

hence the manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.5 years, and standard deviation of 3 years. the 6% of items with the shortest lifespan will last less than 9.2 years.

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Answer:

Counterclockwise

Step-by-step explanation:

The cartesian plane is divided into four quadrants. These are numbered from I through IV, starting with the upper right and going around counterclockwise. Hope this helps!

Answer:

Counterclockwise

Answer:

$6,984.60 per year.

Step-by-step explanation:

Using a normal and very common budget, you should divide your monthly/annual salary into 3 main tiers, which are the following

If we go by this budget then we would need to turn the 20% into a decimal by dividing it by 100 and then multiply that decimal by the person's annual salary.

20% / 100 = 0.20

$34,923 * 0.20 = $6,984.60

Finally, we can see that the individual should be saving roughly $6,984.60 per year.

Therefore, \(\frac{8}{7}= 1.14\) cannot represent the probability of an event. So, option C is correct.

We need to identify which of the given option cannot represent the probability of an event.

The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not.

By simply dividing the favourable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favourable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

Now, \(\frac{1}{14} =0.0714, \frac{8}{7}= 1.14\) and \(\frac{20}{21}=0.952\).

Therefore, \(\frac{8}{7}= 1.14\) cannot represent the probability of an event. So, option C is correct.

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Answer:

1-0.89=0.11

0.11*100=11%

The probability distribution is given in the following table:x  P(x)0  0.0001691231  0.0260244732  0.1853919093  0.4378101694  0.3229913845  0.028613970

Binomial distribution is used to calculate the probability of the number of successes in a given number of trials. The binomial distribution is represented by the probability distribution function f(x)= nCx p^x(1-p)^n-x , where n is the number of trials, x is the number of successes, and p is the probability of success in a single trial.

Given n=5 trials and p=0.516, we can use technology like Excel or StatDisk to find the probability distribution.To calculate the probability distribution function in Excel, we can use the formula "=BINOM.DIST(x,n,p,0)" where x is the number of successes, n is the number of trials, and p is the probability of success in a single trial.

Using this formula, we can calculate the probability of x successes for x=0,1,2,3,4, and 5 as follows:

x   P(x)0   0.0001691231   0.0260244732   0.1853919093   0.4378101694   0.3229913845   0.028613970

The probability distribution is given in the following table:x  P(x)0  0.0001691231  0.0260244732  0.1853919093  0.4378101694  0.3229913845  0.028613970

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Answer:

19,188

Step-by-step explanation:

hope this helps ;)

Answer:

multiply

Step-by-step explanation:

2345567 in the subtract 578431111

Answer:

Step-by-step explanation:

Given:

Number of fruit flies = 200

Rate of growth = 3 times per day

Find:

A . Equation

B . Number of fruit flies after 3 days

Computation:

A . Equation = 3n(200)

Equation = 600n

B. Number of fruit flies after 3 days

Number of fruit flies after 3 days = 600(3).

Number of fruit flies after 3 days = 1800 fruit flies

Answer: 25 apples

Step-by-step explanation:

5+5+5+5= 25 or- 5 x 5= 25

Answer:

25 apples

Step-by-step explanation: 5 x 5 = 25

At x= 1  the value of the function will be 2.

From the graph, we can observe that the value of the function at x= 1 is 2.

Also from the graph, we can observe that the value of x when the function is equal to -2 will be 3.

The end behavior of the graph is negative infinity to positive infinity.

Since the graph has 1 local maximum and 1 local minimum point thus, this is a cubic function.

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The probability of drawing a jack, given that we are told it is a face card, is 1/3 or approximately 0.33.There are 12 face cards in a well-shuffled euchre deck, comprising of 4 jacks, 4 queens, and 4 kings. The probability of drawing a face card from the deck is 12/32, or 3/8.

Now, we are asked to find the probability of drawing a jack, given that we already know the card is a face card. This can be calculated using conditional probability, which is the probability of an event occurring given that another event has already occurred.

The probability of drawing a jack given that the card is a face card can be represented as P(Jack | Face card). Using Bayes' theorem, we can calculate this probability as follows:

P(Jack | Face card) = P(Face card | Jack) * P(Jack) / P(Face card)

Here, P(Face card | Jack) represents the probability of drawing a face card given that the card is a jack, which is 1. P(Jack) represents the probability of drawing a jack from the deck, which is 4/32 or 1/8.

We already know that P(Face card) is 3/8.Substituting these values into the formula, we get:

P(Jack | Face card) = (1 * 1/8) / (3/8) = 1/3.

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Answer:

400

Step-by-step explanation:

Ok so if 60% of the total is 240 than create an expression:

60% of x=240

Now divide both sides by 3:

20% of x=80

Multiply both sides by 5 ( because 5 times 30 is 100):

100% of x=400

Thats the answer hope this helped! :)

400 cards were in her collection.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Total hockey cards sold= 240

So, Kaitlan sold 60% of her hockey card

let the total number of Hockey cards be x.

So, 60% of x= 240

60 x /100 = 240

x= 24000/ 60

x= 400

Hence, 400 cards were in her collection.

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Answer:

4x+4y=$40 4 pins and 4 rings

Step-by-step explanation:

Making a table is the easiest for this equation.

6/4=10

12/8=20

18/12=30

24/16=40

Answer:

The angle of rotation for a 25-gon is 14.4 degrees

Step-by-step explanation:

Here, we want to calculate the angle of rotation for a 25-sided polygon

Mathematically;

To get the angle of rotation of a polygon, we simply divide 360 by the number of sides the polygon has

Mathematically, in this case, that will be;

360/25 = 14.4 degrees

Warren used 1.5 quarts of water, which is less than 3 quarts, we can conclude that Charlie used 1.5 times the greater amount of water. Therefore, Charlie used more water than Warren.

To compare the amount of water used by Charlie and Warren, we need to convert the amount used by Warren into quarts, since Charlie used quarts of water.

We know that Warren filled each of his 6 balloons with cups of water. Since there are 4 cups in 1 quart, we can convert the amount used by Warren into quarts by dividing the number of cups by 4:

6 cups ÷ 4 cups/quart = 1.5 quarts

So Warren used 1.5 quarts of water to fill his 6 balloons.

Charlie used a total of 2 quarts of water to fill all of his balloons.

To determine who used 1 1/2 times the greater amount of water, we need to compare 1.5 times the amount used by Charlie to the amount used by Warren.

1.5 times the amount used by Charlie is:

1.5 x 2 quarts = 3 quarts

So if Warren used less than 3 quarts of water, then Charlie used 1.5 times the greater amount of water.

Since Warren used 1.5 quarts of water, which is less than 3 quarts, we can conclude that Charlie used 1.5 times the greater amount of water. Therefore, Charlie used more water than Warren.

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The nurse asks the patient about their ability to stand when preparing to measure their height and weight because it is the most accurate way to measure these physical characteristics. By asking about their ability to stand, the nurse can determine if alternative methods of measurement need to be used, and can also identify any underlying health issues that need to be addressed

When a patient is admitted to a healthcare facility, one of the first things the healthcare provider does is gather information about the patient's physical characteristics. This includes measuring the patient's height and weight.

As part of the preparation process for measuring height and weight, the nurse may ask the patient about their ability to stand. There are several reasons why this is important.

First, the most accurate way to measure height is to have the patient stand upright, with their head facing forward and their feet together. If the patient is unable to stand, the nurse may have to use alternative methods to measure height, such as a measuring tape, which may not be as accurate.

Second, standing is also the most accurate way to measure weight. If the patient is unable to stand, the nurse may have to use a bed scale, which may not provide an accurate measurement of the patient's weight.

Finally, asking the patient about their ability to stand helps the nurse to determine if there are any underlying health issues that need to be addressed. For example, if the patient is unable to stand, it may indicate that they have a mobility issue that needs to be addressed.

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The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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