Henry is going to color a spinner with 16 equal-sized sections. Three of the sections will be orange,
and 13 of the sections will be black. Is this spinner fair? If so, explain why. If not, explain how to make
it a fair spinner.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. Yes. The spinner is fair because there are the same number of orange sections and black
sections.
OB. No. The spinner is not fair because there are more orange sections than black sections. A fair
spinner will have
orange section(s) and
black section(s).
(Type whole numbers.)
OC. No. The spinner is not fair because there are
more black sections than orange sections. A fair
black section(s).
spinner will have orange section(s) and
Click to select and enter your answer(s) and then click Check Answer
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Answer:

8

Step-by-step explanation:

Im not sure but i think it might be correct.

Answer:

8

Step-by-step explanation:

Question:

³√8-√3

Answer:

➛³√8-√3

➛2-1.732

➛0.268

∴Hence 0.286 is the Correct Answer!

The function \(f(x)=(logn)2+2n+4n+logn+50 belongs to the Θ(n)\) complexity category, in accordance with the big theta notation.

Let's get started with the solution to the given problem.

The given function is:

\(f(x) = (logn)2 + 2n + 4n + logn + 50\)

The term 4n grows much more quickly than logn and 2n.

So, as n approaches infinity, 4n dominates these two terms, and we may ignore them.

Thus, the expression f(x) becomes:

\(f(x) ≈ (logn)2 + 4n + 50\)

Next, we can apply the big theta notation by ignoring all of the lower-order terms, because they are negligible.

Since 4n and (logn)2 both grow at the same rate as n approaches infinity,

we may treat them as equal in the big theta notation.

Therefore, the function f(x) belongs to the Θ(n) complexity category as given in the question,

which is a correct option.

Alternative way of solving:

Given function:

\(f(x) = (logn)2 + 2n + 4n + logn + 50\)

Hence, we can find the upper and lower bounds of the given function:

\(f(x) = (logn)2 + 2n + 4n + logn + 50<= 4n(logn)2 (\)\(using the upper bound of the function)\)

\(f(x) = (logn)2 + 2n + 4n + logn + 50>= (logn)2 (using the lower bound of the function)\)

So, we can say that the given function belongs to Θ(n) category,

which is also one of the options mentioned in the given problem.

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The correlation values that represent the perfect linear relationship between x and y are = b) 1 and d) -1

Now first we need to understand what is meant by correlation,

The mutual relation or degree to which two or more quantities are mutually linear or related to each other, hence their degree or relation of correlation is qualified by correlation coefficient.

According to the question we need to find the correlation value that represents a perfect linear relationship between x and y

Since we know according to the definition of correlation, the perfect linear relationship between x and y could be represented if their magnitude is 1.

Both positive and negative values of magnitude 1 (i.e 1 and -1)  are defined as the linear relationship between x and y.

Therefore, The correlation values that represent the perfect linear relationship between x and y are both 1 and -1

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Answer:

2 hours

Step-by-step explanation:

1 hour = 60 minutes

120 / 60 = 2 hours

The amount Lisa has in the account after 3 years is; 488.28.

The amount Xavier has in the account after 3 years is; 492.08.

The positive difference in their account after 3 years is; 4.20.

It follows from the task content that Lisa savings as described is modelled by the function;

F (x) = 250(1.25)^x

1. It therefore follows that the amount Lisa would have in the account after 3 years would be;

F(3) = 250 (1.25)³

F(3) = 250 × 1.953125

F(3) = 488.28125.

Hence, when rounded to the nearest hundredth; we have; F(3) = 488.28.

2. Also, the amount Xavier has after 3 years can be determined from the table as; 492.08.

3. The positive difference can therefore be determined as; | 492.08 - 488.28 | = 4.20.

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Answer:

A, B, E

Step-by-step explanation:

They are the three correct answers that apply.

Answer:

525 miles

Step-by-step explanation:

420/12=35

35x15=525

a. the value of the game for H is -2. b. the value of the game for H is approximately -3.

To find the values of the games using analytical method, we need to use the minimax theorem.

a) Analytical solution:

For matrix G, the row player (player 1) has two strategies: A and B, while the column player (player 2) also has two strategies: C and D. The payoff matrix for G is:

C D

A 2 -4

B -4 2

The expected value of the game for player 1 can be calculated as follows:

If player 1 chooses strategy A, the worst outcome is -4 (when player 2 chooses strategy D), so the minimum value for player 1 is 2.

If player 1 chooses strategy B, the worst outcome is -4 (when player 2 chooses strategy C), so the minimum value for player 1 is 2.

Therefore, the value of the game for G is 2.

For matrix H, the row player (player 1) has two strategies: E and F, while the column player (player 2) also has two strategies: G and H. The payoff matrix for H is:

G H

E -2 -4

F 4 2

The expected value of the game for player 1 can be calculated as follows:

If player 1 chooses strategy E, the worst outcome is -4 (when player 2 chooses strategy G), so the minimum value for player 1 is -2.

If player 1 chooses strategy F, the worst outcome is 2 (when player 2 chooses strategy G), so the minimum value for player 1 is 2.

Therefore, the value of the game for H is -2.

b) Approximate solution:

To approximate the solution, we can use the linear programming method. The game matrix can be represented as a system of linear inequalities, and the optimal solution can be found using the simplex algorithm. However, this requires knowledge of the probabilities of each player choosing their strategies, which may not be known.

Therefore, to make an approximate solution without knowing the probabilities, we can use the linear interpolation method. We can assume that each player chooses their strategies randomly with equal probability, and then find the expected payoff for each player. The value of the game can then be calculated as the average of these payoffs.

For matrix G, the expected payoffs for player 1 are:

If player 1 chooses strategy A: (2+(-4))/2 = -1

If player 1 chooses strategy B: ((-4)+2)/2 = -1

Therefore, the value of the game for G is approximately -1.

For matrix H, the expected payoffs for player 1 are:

If player 1 chooses strategy E: ((-2)+(-4))/2 = -3

If player 1 chooses strategy F: (4+2)/2 = 3

Therefore, the value of the game for H is approximately -3.

Note that the analytical solutions are exact, while the approximate solutions are only estimates based on certain assumptions.

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Answer : b: How many push-ups can a sixth grade girl do? and d:What are the weights of the sixth grade boys?

Answer:

How much do sixth grade boys weigh?

 How many push-ups can a sixth grade girl do?

Step-by-step explanation:

A statistical question is one that has a variable answer.

Determine which questions are statistical questions and can be answered with the data gathered in the fitness test.

The questions "How many sixth grade students are there?" and "What is the shortest height of the sixth grade students?" can be answered with the data gathered in the fitness test. However, they do not have variable answers, so they are not statistical questions.

The questions "What are the heights of the eighth grade girls?" and "How many chin-ups can a sixth grade boy do?" do have variable answers, so they are statistical questions. However, these questions cannot be answered with the data gathered in the fitness test.

The questions "How much do sixth grade boys weigh?" and "How many push-ups can a sixth grade girl do?" do have variable answers, so they are also statistical questions. These questions can be answered with the data gathered in the fitness test.

Hope I helped.

Answer: 1.5 hours

Step-by-step explanation:

I assume you’re trying to find how much time she is doing other activity.

2 1/4 - 3/4 is equal to:

2.25-0.75

That equals 1.5.

a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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Answer:

D

Step-by-step explanation:

when you add a variable it turns into a square

Answer:

5 + (18,8 × 5) = 99

Explaination

one ticket costs: (99$ - 5$) ÷ 5 = $18,8

The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

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Part 1: Kate should buy 100 coats to maximize profits.Part 2: The probability that the coats sell out is 0.25 (25%), and the probability that they do not sell out is 0.75 (75%).

To maximize profits, Kate should consider the scenario where she sells all the coats without any left over at the end of the season.

Since the sales are uniformly distributed between 100 and 400, buying 100 coats ensures that she meets the minimum expected sales of 100. Purchasing more than 100 coats would increase costs without a guarantee of higher sales, potentially leading to excess inventory and lower profits.

Given that the sales are uniformly distributed between 100 and 400 coats, Kate's purchase of 100 coats covers the minimum expected sales.

The probability of selling out can be calculated by finding the proportion of the range covered by the desired sales (100 out of 300). Therefore, the probability of selling out is 100/300 = 0.25 or 25%. The probability of not selling out is the complement, which is 1 - 0.25 = 0.75 or 75%.

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The angles that make up a kite are 1, 2, 3, 4, 5, 6, and 7. Angle 1 is the interior angle between sides 1 and 2. Angle 2 is the interior angle between sides 2 and 3.

Angle 3 is the interior angle between sides 3 and 4. Angle 4 is the exterior angle between sides 4 and 1. Angle 5 is the interior angle between sides 1 and 3. Angle 6 is the exterior angle between sides 2 and 4. Angle 7 is the interior angle between sides 2 and 4.

An angle is a figure formed by two lines that meet at a common point. The lines are called the arms of the angle, and the common point is called the vertex. Angles are usually measured in degrees, with a full circle being 360°.

A kite is a four-sided geometric shape with two pairs of adjacent equal-length sides. The missing values for each angle in the kite can be calculated using the formula:

Angle 1 + Angle 2 + Angle 3 + Angle 4 + Angle 5 + Angle 6 + Angle 7 = 360 degrees

For example, if angle 1 is 60 degrees, then angle 2 = 120 degrees, angle 3 = 120 degrees, angle 4 = 60 degrees, angle 5 = 120 degrees, angle 6 = 60 degrees, and angle 7 = 60 degrees.

In general, the sum of the interior angles of a kite will equal 360 degrees, and each interior angle will be equal to the sum of the exterior angles. Therefore, if the values of four of the angles are known, the remaining angles can be calculated by subtracting the known angles from 360 degrees.

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The simplified expressions are, 6. \(16^{\frac{1}{2} }\) = 4, 7. \(125^{\frac{1}{3} }\) = 5, 8. \(36^{\frac{1}{2} }\) = 6, 9. \(27^{\frac{1}{3} }\) = 3,10. \(49^{\frac{1}{2} }\) = 7.

Algebra is a branch of mathematics that deals with mathematical operations and structures using symbols and letters to represent numbers and quantities. It involves manipulating mathematical expressions and solving equations to find unknown values.

In algebra, the basic operations include addition, subtraction, multiplication, division, and exponentiation. Algebraic expressions can also include variables, which represent unknown quantities, and coefficients, which are the constant values that appear in front of variables.

The study of algebra begins with the basic concepts of arithmetic, such as addition, subtraction, multiplication, and division, and then progresses to more advanced topics, such as equations, inequalities, functions, matrices, and abstract algebra. Algebraic concepts are widely used in other areas of mathematics, including geometry, trigonometry, calculus, and number theory

\(16^{\frac{1}{2} }\) = 4

\(125^{\frac{1}{3} }\) = 5

\(36^{\frac{1}{2} }\) = 6

\(27^{\frac{1}{3} }\) = 3

\(49^{\frac{1}{2} }\) = 7

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Answer:

B. x+4y=16

Step-by-step explanation:

y=-1/4 x +4

4y=-x+16

x+4y=16

Answer:

A polynomial is a set of terms, typically having 2 or more.

Step-by-step explanation:

A polynomial is a general term for having 2 or more. They can be broken down to being more specific.

For example:

The polynomial of 2 terms is known as a binomial.

The polynomial of 3 terms is known as a trinomial.

The polynomial of 4 terms is known as a quadrinomial.

etc.

~

Answer:hours

Step-by-step explanation:

The Normal distribution is symmetric and ranges from negative to positive infinity, while the Log-normal distribution is skewed and only takes positive values. To select the better fit for data, consider characteristics (positivity and skewness favor Log-normal, symmetry favors Normal), hypothesis testing, visualization, and statistical tests.

Let's analyze each section separately:
a) The major differences between the Normal and Log-normal distributions are:

Normal Distribution: The Normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution that is defined by its mean (μ) and standard deviation (σ). It follows a bell-shaped curve and is often used to model naturally occurring phenomena. The range of values extends from negative infinity to positive infinity.

Log-normal Distribution: The Log-normal distribution is a skewed probability distribution that arises when the logarithm of a random variable follows a normal distribution. It is characterized by its parameters mu (μ) and sigma (σ) of the underlying normal distribution. Unlike the Normal distribution, the Log-normal distribution only takes positive values.

b) Selecting which distribution fits the data better depends on the nature of the data and the research question at hand. Here are a few considerations:

1. Data Characteristics: If the data consists of positive values and the distribution appears to be skewed, the Log-normal distribution might be more appropriate. On the other hand, if the data is symmetric and unbounded, the Normal distribution may be a better fit.

2. Hypothesis Testing: If you have a specific hypothesis to test or a theoretical justification for choosing one distribution over the other, it is advisable to use that distribution.

3. Visualization: Plotting the data and comparing it to the shapes of the Normal and Log-normal distributions can provide visual insights into which distribution aligns better with the data.

4. Statistical Tests: Statistical tests such as the Kolmogorov-Smirnov test or the Anderson-Darling test can be used to assess the goodness-of-fit for each distribution and determine which one provides a better fit to the data.

In summary, selecting the appropriate distribution involves considering the characteristics of the data, the research question, and statistical tests. Visualization and hypothesis testing can further aid in determining the best fit distribution.

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Answer:

Rs 6900

Step-by-step explanation:

To calculate the tax amount the girl should pay in a year, we need to determine the taxable income and then apply the corresponding tax rates.

The taxable income is calculated by subtracting the tax-free allowance from the girl's early income:

Taxable Income = Early Income - Tax-Free Allowance

Taxable Income = 150,000 - 100,000

Taxable Income = 50,000

Now, we can calculate the tax amount based on the given tax rates:

For the first 20,000 rupees, the tax rate is 12%:

Tax on First 20,000 = 20,000 * 0.12

Tax on First 20,000 = 2,400

For the remaining taxable income (30,000 rupees), the tax rate is 15%:

Tax on Remaining 30,000 = 30,000 * 0.15

Tax on Remaining 30,000 = 4,500

Finally, we add the two tax amounts to get the total tax she should pay in a year:

Total Tax = Tax on First 20,000 + Tax on Remaining 30,000

Total Tax = 2,400 + 4,500

Total Tax = 6,900

Therefore, the girl should pay 6,900 rupees in tax in a year.

I found it out it's... 21

Answer:

8.25%

Step-by-step explanation:

First, subtract $380 from $411.35

$411.35-$380=$31.65

31.65÷411.35×100=8.25%

Recall that when adding polynomials you need to combine "like terms" (that is the terms that contain the SAME VAriable (letter) part.

Then in the addition:

(x + 2 y - 4 z) + ( x - 4 y + 6 z)

we combine:

x + x = 2 x

2 y - 4 y = - 2 y

and

- 4 z +6 z = 2 z

obtaining finally:

2 x - 2 y + 2 z

Answer:

X=3

Step-by-step explanation:

5x - 2 = 13

5x = 15

x = 3

Hope this helps. Pls give brainliest.

Answer:

3

Step-by-step explanation:

5x-2=13

5x=13+2

5x=15

x=15/5

x=3