Find the missing angles

In order to find the probability of a student playing on the football team given that they play in the band, we'll use conditional probability.

The formula for conditional probability is P(A|B) = P(A and B) / P(B).

In this case, A represents playing on the football team, and B represents playing in the band.

Given:
P(B) = 0.15 (probability of playing in the band)
P(A and B) = 0.03 (probability of playing in the band and on the football team)

Now we can apply the formula:

P(A|B) = P(A and B) / P(B) = 0.03 / 0.15 = 0.2

So, the probability that a student at Kennedy High School plays on the football team given that they play in the band is 0.2 or 20%.

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Answer:

5/8cm^3

hope this helps

have a good day :)

Step-by-step explanation:

The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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1. y= 3/5x + 4

Answer: Decreases from left to right

2. y= -9

Answer: Decreases from left to right

3. y= 4x -3/2

Answer: Increases from left to right

4. x= 2

Answer: Increases from left to right

5. 4x + y =7

Answer: Decreases from left to right

To find the distance traveled per second, we can use the formula:

Distance = Speed * Time

For rural road speeds of 55 mph, we need to convert the speed to miles per second.

Since there are 60 minutes in an hour and 60 seconds in a minute, we have:

Speed = 55 miles/hour * (1 hour / 60 minutes) * (1 minute / 60 seconds)

= 55 / (60 * 60) miles/second

≈ 0.01528 miles/second

So, at rural road speeds of 55 mph, you would travel approximately 0.01528 miles per second.

Now let's calculate the distance traveled per second at city driving speeds of 25 mph:

Speed = 25 miles/hour * (1 hour / 60 minutes) * (1 minute / 60 seconds)

= 25 / (60 * 60) miles/second

≈ 0.00694 miles/second

Therefore, at city driving speeds of 25 mph, you would travel approximately 0.00694 miles per second.

In summary, when using a 3-second following distance, you would travel approximately 0.01528 miles per second on rural roads (55 mph) and approximately 0.00694 miles per second in city driving (25 mph).

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Answer:

×=11

Step-by-step explanation:

2×-4×+27-5=0

-2×+22=0

-2×=-22

×=11

Answer:

Step-by-step explanation:

lim x -> +oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

+oo³ (-2 - 13/+oo + 8/+oo² + 52/oo³)

+oo(-2 + 0 + 0 + 0)

-oo

lim x -> -oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

-oo³ (-2 - 13/-oo + 8/-oo² + 52/-oo³)

-oo(-2 + 0 + 0 + 0)

+oo

A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.

It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.

The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.

The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.

To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.

A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.

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The exponential equation is \(y=ab^x\). Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

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The exponential equation is y = \(ab^{x}\) . Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

The formula for exponential regression is y = \(ab^{x}\) . This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.

Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.

A model that explains the process of doubling growth.

The exponential equation is y = \(ab^{x}\)

Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

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Answer:

Greetings!

The answer to the first image is: 3\(\sqrt{6}\)

The second image is 4\(\sqrt{3}\)

Step-by-step explanation:

Here's how to rationalize a denominator:

1. Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.

2. Make sure all radicals are simplified.

3. Simplify the fraction if it is needed.

I hope this helps you! :)

Answer:

first option

Step-by-step explanation:

Using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\) then

\(5^4)^{3}\) = \(5^{4(3)}\) = \(5^{12}\)

Answer: B, C, and F

Step-by-step explanation:

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

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Answer:

9.7 in.

Step-by-step explanation:

Let s = side of the square.

s² = 94 in.²

√s² = √(94 in.²)

s = 9.7 in.

The three routes are I-405 N, WA-522 E, and WA-202 E. The distance between Seattle and Duvall via I-405 N is approximately 26.2 miles, via WA-522 E is approximately 23.9 miles, while the distance between Seattle and Duvall via WA-202 E is approximately 29.8 miles.

There are several routes that one can take to get from Seattle to Duvall. One of the routes is using I-405 N. The distance between Seattle and Duvall via I-405 N is approximately 26.2 miles. Other routes include taking WA-522 E and WA-202 E. The distance between Seattle and Duvall via WA-522 E is approximately 23.9 miles, while the distance between Seattle and Duvall via WA-202 E is approximately 29.8 miles.

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This comparison can help identify trends, changes in Purchasing power, and potential correlations between the two variables. Furthermore, this analysis can provide valuable insights into the resilience and recovery of various economies in the aftermath of the crisis.

The Union Bank of Switzerland (UBS) conducts research on the prices and earnings in major cities worldwide, providing valuable data on the cost of living. This includes the prices of basic commodities such as 1 kg of rice, a 1 kg loaf of bread, and a Big Mac, measured in minutes of labor across 54 major cities. This information can be useful for analysts to study economic trends and changes in purchasing power.
In the context of the global financial crisis that occurred in 2007-2008, an analyst is interested in understanding how the prices have evolved since then. To achieve this, they intend to use the price of a Big Mac in 2003 (variable "c") to predict the price of a Big Mac in 2009 (variable "d").
By comparing the prices of Big Macs in 2003 and 2009, the analyst can analyze the impact of the financial crisis on the cost of living in different cities. This comparison can help identify trends, changes in purchasing power, and potential correlations between the two variables. Furthermore, this analysis can provide valuable insights into the resilience and recovery of various economies in the aftermath of the crisis.

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The Union Bank of Switzerland (UBS) produces regular reports on global prices and earnings in major cities. These reports include information on basic commodities such as rice, bread, and Big Macs. An analyst is interested in understanding how the prices of Big Macs have changed since the global financial crisis in 2007-2008.

To do this, they plan to use the price of a Big Mac in 2003 to predict the price in 2009. This approach is known as a predictive model, which involves using past data to forecast future outcomes. By analyzing the changes in the price of a Big Mac over time, the analyst can gain insight into how the financial crisis impacted global commodity prices.
The analyst can use the Union Bank of Switzerland's (UBS) reports on commodity prices to investigate the change in Big Mac prices between 2003 and 2009, in relation to the global financial crisis. To do this, they should gather data on the price of a Big Mac (c) in 2003 for each of the 54 major cities, and compare it to the price of a Big Mac (d) in 2009. By analyzing the relationship between these two variables (c and d), the analyst can identify trends and patterns, allowing them to understand how the financial crisis impacted Big Mac prices across different cities in Switzerland and globally.

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Answer:

∠ C = 70°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles to obtain ∠ C , that is

∠ C = 180° - (70 + 40)° = 180° - 110° = 70°

Answer:

28 and 12 . (QUORA)

Step-by-step explanation:

Let’s write this down. We are looking for X and Y.

The difference between two numbers is 16: −=16

Three times the larger number is seven times the smaller:  ∗3=∗7

So, we need to solve X and Y from these two equations.

If we re-arrange X*3 = Y*7, we get Y = X*3/7.

So, −∗3/7=16 .  −∗3/7  is the same as  7∗/7−3∗/7 , or  4∗/7 . So  4∗/7=16−>4∗=7∗16−>=7∗4=28 .

Then we just go back to  −=16 , and  =28 , gives us  28−=16,  or  =28–16−>=12 .

So the numbers are 28 and 12.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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Answer:

39

Step-by-step explanation:

you do 180 and subtract both values you already have 102 and 39. you get the answer of 39

1. Using Radicals the number √17 has a value of 4.123.

2. √510 =260100.

3. √4x = 2√x.

Simply multiply or divide the numbers at each point where it makes sense to multiply or divide a function. If the functions are specified by formulas, you can simply multiply or divide the formulas (inserting numbers before or after is irrelevant).

When multiplying or dividing, it is standard practise for the final result to contain the same number of significant figures as the number with the fewest significant figures. The division of two numbers can be calculated using the following formula: Dividend Divisor = Quotient + Remainder. The number that is being divided in this case is known as the dividend.

The number that divides the number (dividend) into equal parts is known as the divisor.

1. \(\sqrt{17}\\\) = 4.123 (The values of the number √17 is 4.123.)

2.  √510

= 510^2

=(500+10)^2

=500^2+10^2+2×500×10

=250000+100+10000

=260100.

3. √4x = 2√x.

because 4 = 2*2

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Answer:

y = (1/3)*x + 5

Step-by-step explanation:

Step 1: determine slope or m

m = change in y-coordinates ÷ change in x-coordinates

m = (4-7)/(-3-6) = -3/-9 = 1/3

Step 2: determine y-intercept or b

y = m*x + b

y = (1/3)*x + b

4 = (1/3)*(-3) + b

4 = -1 + b

b = 5

Step 3: substitute values for m and b into the slope intercept equation

y = (1/3)*x + 5

The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

Answer:

\(4x^5\:+\:9x^2\:+\:3\) is a trinomial having three terms, with degree 5 and the constant term '3'.

Step-by-step explanation:

Considering the trinomial

\(4x^5\:+\:9x^2\:+\:3\)

As the polynomial contains 3 terms, so it is a trinomial.

As the highest power of the variable 'x' is 5, so the degree of this polynomial is 5.

Any term with no variable is called a constant term. so, 3 is a term with no variable. Therefore, the constant term is 3.

Therefore, \(4x^5\:+\:9x^2\:+\:3\) is a trinomial having three terms, with degree 5 and the constant term '3'.

ARea = s*s

S² = 35

S  = √35

S = 5.9160797831

Answer:

Step-by-step explanation:

Area of a square = 35 sq.units

   side² = 35

   side = √35

    Side = 5.92 units

As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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Answer:

46.75

Step-by-step explanation:

55% × 85 = 46.75

If you don't know what 55% is in decimal then it is 0.55. You also do this way and will give you the same answer.

0.55 × 85 = 46.75

Hope this helps, thank you !!

Answer:

46.75.

Hope this helps! :)