You select a marble without looking and then put it back. If you do this 72 times, what is the best prediction possible for the number of times you will pick a marble that is not blue?

Answer:

a = 8 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cube Formula: V = a³

Step-by-step explanation:

Step 1: Define

Identify variables

V = 512 cm³

Step 2: Find a

Answer:

2x + 3y = 6

Step-by-step explanation:

The equation of a line in slope- intercept fprm is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = 5 ( subtract 2x from both sides )

3y = - 2x + 5 ( divide terms by 3 )

y = - \(\frac{2}{3}\) x + \(\frac{5}{3}\) ← in slope- intercept form

with slope m = - \(\frac{2}{3}\)

Parallel lines have equal slopes, then

y = - \(\frac{2}{3}\) x + c ← is the partial equation

To find c substitute (3, 1 ) into the partial equation

1 = - 2 + c ⇒ c = 1 + 2 = 3

y = - \(\frac{2}{3}\) x + 3 ( multiply through by 3 to clear the fraction )

3y = - 2x + 6 ( add 2x to both sides )

2x + 3y = 6 ← equation of parallel line

Answer:

(Decimal: 10.233345)

Step-by-step explanation:

√5(√10+√2

√5(√10+√2)

=√10+5√2(Decimal: 10.233345)

The angle (in radians) between vectors u and v is approximately 1.66 radians, rounded to two decimal places.

To find the angle between two vectors, we can use the dot product formula and the magnitudes of the vectors. Let's calculate the angle between vectors u and v:

Given:

u = 4i - 6j

v = 5i + 4j

Step 1: Calculate the dot product of u and v.

The dot product of two vectors u and v is given by:

u · v = |u| |v| cosθ

where |u| and |v| are the magnitudes of vectors u and v, respectively, and θ is the angle between them.

To calculate the dot product, we multiply the corresponding components of u and v and sum them:

u · v = (4 * 5) + (-6 * 4) = 20 - 24 = -4

Step 2: Calculate the magnitudes of vectors u and v.

The magnitude of a vector is given by:

|u| = √(u₁² + u₂²)

For vector u:

|u| = √((4)² + (-6)²) = √(16 + 36) = √52 ≈ 7.21

For vector v:

|v| = √((5)² + (4)²) = √(25 + 16) = √41 ≈ 6.40

Step 3: Calculate the angle θ.

Using the dot product formula mentioned earlier, we have:

-4 = (7.21)(6.40)cosθ

Solving for cosθ:

cosθ = -4 / (7.21 * 6.40) ≈ -0.086

To find θ, we can take the inverse cosine (arccos) of cosθ:

θ ≈ arccos(-0.086) ≈ 1.66 radians

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Answer:

option 6b):) is correct

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

6 < x < 30

Step-by-step explanation:

The angle of the side AB = 48 degrees

the angle of the side AD = 2x - 12 degrees

If the angle AD is greater than zero;

  2x -12 > 0

= 2x > 12

= x > 12/ 2

= x > 6

if the maximum angle of AD is equal to angle AB, then;

= 2x -12 = 48

 2x = 48 + 12

2x/ 2 = 60 / 2

x = 30

Therefore, the range of x is; 6 < x < 30

The possible values of x, so that the relation does not form a function, is given as follows:

x = -2 or x = -5.

To verify whether a relation represents a function, we need to observe if each input is mapped to only one output.

The points for the function in this problem are given as follows:

(-2,5),(-5,9),(x,-3)

The meaning of each point is that:

The relation is not a function, meaning that the value of x is either of x = -2 or x = -5, which are already mapped to another value of x.

The problem asks for the values of x so that the relation is not a function, considering the three points that were given on the problem.

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The sum of all the internal angle is \($180^{\circ}$\).

The sum of all the internal angle is \($180^{\circ}$\).

\($$\angle A+\angle B+\angle C=180^{\circ}$$\)

1. 34 and 88

\(34+88+\angle C=180 \\\)

\(122+\angle C=180 \\\)

\(\angle C=180-122 \\\)

\(\angle C=58^{\circ}\)

2. 45 and 90

\(45+90+\angle C=180 \\\)

\(135+\angle C=180 \\\)

\(\angle C=180-135 \\\)

\(\angle C=45^{\circ}\)

3. 10 and 102

\(10+102+\angle C=180 \\\)

\(112+\angle C=180\)

\(\angle C=180-112 \\\)

\(\angle C=68^{\circ}\)

4. \($\boldsymbol{x}$\)and 50

\(x+50+\angle C=180 \\\)

\(\angle C=180-50-x \\\)

\(\angle C=(130-x)^{\circ}\)

The complete question is,

Find the measure of the third angle of a triangle given the measures of two angles.

1. 34 and 88

2. 45 and 90

3. 10 and 102

4. x and 50

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Answer:

1/16

Step-by-step explanation:

Since no cards are removed between each shuffle, the chance of drawing a spade both times remains the same, meaning it is 1/4 both times. 1/4 * 1/4 =1/16

The probability of drawing two spades in two draws if the first card is returned to the deck between draws will be 1 / 16.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that the chance of drawing a spade from a deck of cards is 1/4. If the deck is shuffled between draws.

The probability will be calculated as,

Probability = 1 / 4 x 1/ 4

Probability = 1 / 16

Hence, the probability will be equal to 1 / 16.

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Using system of linear equations, to have the same amount of revenue, both companies have to sell 100 albums, the value of x and y are -5 and 2 and the number of attendants for both adults and children are 241 and 220 respectively.

A system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables.

15 + 0.75x = 0.9x

solving for x

x = 100

The need to download 100 songs for the companies to charge same amount.

b)

To download 150 songs, the company with least amount of money will be

company A = 15 + 0.75(150) = 127.5

Company B = 0.9(150) = 135

Company A will suit better in this case.

Question 2:

4x + 4y = -12 ...eq(i)

3x - 4y = -23 ...eq(ii)

solving both equations

x = -5, y = 2

b)

x - y = -5 - 2 = -7

Question 3:

Let children = x and adults = y

3x  + 4y = 1624..eq(i)

x + y = 461 ..eq(ii)

solving both equations

x = 220 and y = 241

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Answer:

Median: 48

Range: 18

Step-by-step explanation:

The range: is calculated by subtracting the lowest value from the highest value

The median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list.

Answer:

Is that all the information? There seems to not be enough information in this. If this is all there is then I'll try my best, but if you have anything else then put it in the comments of this answer and I'll answer it from there

Step-by-step explanation:

May I get brainliest please? :)

We will have that the pie chart should be:

Answer:

sas

bc there is a side, right angle, side

Step-by-step explanation:

Answer: i

Step-by-step explanation: dk

Answer:

Step-by-step explanation:

The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe

is 5.75 inches

Determine the volume of metal used to build the pipe.

Answer:

Step-by-step explanation:

The method for finding the limit of a function on a calculator depends on the specific calculator you are using. Here are the general steps for finding the limit of a function using a graphing calculator:

Enter the function: Most graphing calculators have a function editor where you can enter the function you want to find the limit of.

Set the limit: To find the limit of the function at a particular point, you need to specify the value at which you want to find the limit. This is done by entering the limit expression, for example: limit(f(x), x, a) where f(x) is the function, x is the variable, and a is the value at which you want to find the limit.

Evaluate the limit: After entering the limit expression, you can evaluate it by pressing the "enter" or "=" button. The calculator will then display the limit of the function at the specified value.

It's important to note that a graphing calculator can only estimate the limit of a function based on the accuracy of the graph, so the result may not be exact. Additionally, some functions may have limits that cannot be evaluated using a calculator. In these cases, you may need to use analytical methods to determine the limit.

Answer:

y= 3x+3

Let's solve for x.

y+3=−3(x−2)

Step 1: Flip the equation.

−3x+6=y+3

Step 2: Add -6 to both sides.

−3x+6+−6=y+3+−6

−3x=y−3

Step 3: Divide both sides by -3.

−3x

−3

=

y−3

−3

x=

−1

3

y+1

Answer:

x=

−1

3

y+1

Answer:

Dendrochronology is another term for the technique exploiting the annual growth increments of trees to provide a precise estimate of the age of a wood sample.

The maximum difference in radius for 295/75R22.5 trailer tires is 0.625 inches.

The tire size 295/75R22.5 represents certain measurements. The first number, 295, refers to the tire's width in millimeters. The second number, 75, represents the aspect ratio, which is the tire's sidewall height as a percentage of the width. The "R" stands for radial construction, and the number 22.5 denotes the diameter of the wheel in inches.

To calculate the maximum difference in radius, we need to determine the difference between the maximum and minimum radius values within the given tire size. The aspect ratio of 75 indicates that the sidewall height is 75% of the tire's width.

To find the maximum radius, we can calculate:

Maximum Radius = (Width in millimeters * Aspect Ratio / 100) + (Wheel Diameter in inches * 25.4 / 2)

For the given tire size, the maximum radius is:

Maximum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 388.98 mm

Similarly, we can find the minimum radius by considering the minimum aspect ratio value (in this case, 75) and calculate:

Minimum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 368.98 mm

The difference in radius between the maximum and minimum values is:

Difference in Radius = Maximum Radius - Minimum Radius ≈ 388.98 mm - 368.98 mm ≈ 20 mm

Converting this to inches, we have:

Difference in Radius ≈ 20 mm * 0.03937 ≈ 0.7874 inches

Therefore, the maximum difference in radius for 295/75R22.5 trailer tires is approximately 0.7874 inches, which can be rounded to 0.625 inches.

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An expert system differs from conventional systems in that it incorporates knowledge and expertise in a specific domain to make intelligent decisions or provide recommendations.

Conventional systems are typically rule-based or algorithmic, where predefined rules or instructions are followed to process data or perform tasks. These systems are designed to handle specific functions but lack the ability to mimic human expertise or reasoning.

On the other hand, an expert system utilizes artificial intelligence (AI) techniques, such as knowledge representation, inference engines, and learning algorithms, to capture and apply human expertise in a particular domain. It relies on a knowledge base, which contains expert knowledge and rules, and an inference engine, which uses logical reasoning to draw conclusions or provide recommendations based on the given input.

The key distinction of an expert system lies in its ability to handle complex, knowledge-intensive tasks that would typically require human expertise. By emulating the decision-making processes of human experts, expert systems can analyze complex data, diagnose problems, offer solutions, and provide expert-level advice.

Expert systems have applications in various fields, including medicine, finance, engineering, and customer support. They enable organizations to leverage and preserve expert knowledge, enhance decision-making processes, and improve overall efficiency and accuracy.

In summary, expert systems differ from conventional systems by incorporating AI techniques to emulate human expertise, allowing them to handle complex tasks and provide intelligent recommendations. This makes expert systems particularly valuable in domains where expert knowledge is critical for decision-making and problem-solving.

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An expert system differs from conventional systems in terms of their knowledge base, reasoning and inference capabilities, adaptability, and domain-specificity.

An expert system is a computer program that mimics the decision-making ability of a human expert in a specific domain. It uses a knowledge base, which contains facts and rules, and an inference engine to provide intelligent solutions to complex problems. Expert systems are designed to handle complex and uncertain situations by using reasoning and inference techniques.

On the other hand, conventional systems are traditional computer programs that follow a predefined set of instructions to perform specific tasks. They do not possess the ability to learn or adapt like expert systems.

The main differences between expert systems and conventional systems are:

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Answer:

i think its the first one

Answer:

-1 vertical, 5 horizontal

Step-by-step explanation:

On the y-axis, the shape has moved down 1, which is –1 vertical.

On the x-axis, the shape has moved right 5, which is 5 horizontal.

Answer:

Step-by-step explanation:

The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.

If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050

The population is given to be increasing exponentially, which means it will follow the equation:

\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.

We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:

\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)

Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.

Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:

\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)

where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)

where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)

Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)

To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):

\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.

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

Explanation:

Arcs CBH and FGH are given, while arc CDF is unknown. Let's call this y

y = measure of arc CDF

Adding the three arcs forms a full circle of 360 degrees

(arc CBH)+(arc FGH)+(arc CDF) = 360

170+64+y = 360

y+234 = 360

y = 360-234

y = 126

arc CDF = 126 degrees

Then notice how inscribed angle x cuts off arc CDF. By the inscribed angle theorem, we take half of the arc measure to get the inscribed angle measure.

inscribed angle = (arc measure)/2

x = (arc CDF)/2

x = 126/2

x = 63

Answer:

rewrite the fromula 126

Step-by-step explanation:

The value of f(-6) is 72, that is, option A.

In mathematics, a function from a given set X to a given set Y allots to each element of X one and only one element of Y. The set Y is called the range of the function and the set X is called the domain of the function.

Here, we are given a function f(x) = 2x²

f(-6) means that x = -6

Substituting x = -6 in the function, we get-

f(-6) =  2(-6)²

= 2 × -6 × -6

= 2 × 36

= 72

Thus, the value of f(-6) is 72.

From the given options, hence, option A becomes the correct answer.

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