Eli won 2 out of 3 chess games one day. At this rate, if he played 33 games, how many did he win?

When using a one-way within-groups ANOVA, the variability due to individual differences is reduced, resulting in a more accurate assessment of the effect of the independent variable on the dependent variable.

To minimize the variation between individuals, their scores are evaluated within the same group rather than comparing them across different groups.

The within-groups ANOVA method utilizes identical individuals in different conditions or treatments to counteract personal variances, thereby enabling a more accurate measurement of the independent variable's impact.

By adopting this method, the analysis gains greater statistical strength, resulting in a more heightened aptitude to identify genuine effects of the independent factor on the dependent element.

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Answer:

(2, 6)

Step-by-step explanation:

( \(x_{1}\) , \(y_{1}\) )

( \(x_{2}\) , \(y_{2}\) )

Coordinates of midpoint are

( \(\frac{x_{1} +x_{2} }{2}\) , \(\frac{y_{1} +y_{2} }{2}\) )

~~~~~~~~~~~~~~

(12, 4)

(- 8, 8)

( \(\frac{-8+12}{2}\) , \(\frac{8+4}{2}\) ) = (2, 6)

Answer:

B

Step-by-step explanation:

The school wants to make $25,000 therefore they need to make more than $25,000. This means that it cant be A or D.

Each student need to make x amount of money and there is 125 students so the students in total need to make 125 therefore B is correct.

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

B. 3 + 5i

Step-by-step explanation:

-2i + (9 - 3i) - (6 - 10i) =

= - 2i + 9 - 3i - 6 + 10i

= 5i + 3

= 3 + 5i

The number of students who watch between 1 - 2 hours is 9.

We have,

From the table,

Number of students who watch tv for 1 hour = 5

Number of students who watch tv for 1.5 hours = 3

Number of students who watch tv for 2 hours = 1

Now,

The number of students who watch between 1 - 2 hours.

= Number of students who watch tv for 1 hour + 1.5 hours + 2 hours

= 5 + 3 + 1

= 9

Thus,

The number of students who watch between 1 - 2 hours is 9.

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The mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

The mode is defined as the number that occurs most frequently in a list of numbers. In a set of numbers, there can be one mode, more than one mode, or no mode at all.

To find the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18}, we need to identify the number that appears most frequently. Here, we can observe that 12 is the number that appears twice, while all the other numbers only appear once.

Therefore, the mode for this list of numbers is 12. It's important to note that if there are multiple numbers that appear with the same highest frequency, then all of them are considered as modes. For instance, if the list of numbers was {5, 9, 12, 11, 12, 19, 19, 18}, then both 12 and 19 would be modes since they each appear twice.

In conclusion, the mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

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Answer:

B

Step-by-step explanation:

Answer:

B.1593

Step-by-step explanation:

Answer:

4x^18

Step-by-step explanation:

The square root of 16 is 4; the square root of x^36 is x^18.

Thus, the square root of 16x^36 is 4x^18

Answer:

The answer is 24

Step-by-step explanation:

24

Answer:

24

Step-by-step explanation:

24

Answer:

10% off

Step-by-step explanation:

When $70 is discounted to $63, you can multiply 70 times 0.1 to get 7 which 70-63=7. To make 0.1 to a percentage, multiply by 100 to get 10%.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

We can find the interpolating polynomial for the given function using Newton forward and backward formulas, Lagrange interpolation formula, or the polyfit command in Matlab. We can then plot the graphs of the original function and the interpolating polynomial to visualize the results.

To find the interpolating polynomial for the function f(x) = ln(x+1) + sin(x) at x = 0, 1, 2, 3, 4, we can use different methods.

(i) Newton forward and backward interpolation formulas:
- Newton forward formula: This uses the forward differences to approximate the polynomial.

- Newton backward formula: This uses the backward differences to approximate the polynomial.
Both formulas involve calculating the differences and constructing the interpolating polynomial using the divided difference table.

(ii) Lagrange Interpolation formula:

- Lagrange interpolation uses a set of basis polynomials to construct the interpolating polynomial.

- The basis polynomials are defined by the data points and their corresponding function values.

- The interpolating polynomial is obtained by summing the products of the basis polynomials and the function values.

(iii) Using the built-in command polyfit of Matlab:

- Matlab provides a convenient command called polyfit to find the interpolating polynomial.

- Polyfit uses the least squares method to fit a polynomial of specified degree to the data points.

- The command returns the coefficients of the interpolating polynomial.

To draw the graphs of the original function and the interpolating polynomial, we can plot the function and the polynomial using the x and y values calculated from the interpolation methods. We can also indicate the error on the graph by using different colors for the function and polynomial.

In summary, we can find the interpolating polynomial for the given function using Newton forward and backward formulas, Lagrange interpolation formula, or the polyfit command in Matlab.

We can then plot the graphs of the original function and the interpolating polynomial to visualize the results.

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Answer:

8

Step-by-step explanation:

We can subtract 64 from both sides to get S=72-64=8.

In a group G of order 3n, where n is a positive integer not divisible by 3, if x and y are elements of order 3, it can be proven that y is conjugate to either x or x⁻¹. This result highlights the relationship between elements of order 3 in such groups.

To prove that y is conjugate to either x or x⁻¹, we need to consider the properties of groups of order 3n and elements of order 3.

First, since the order of G is 3n, by Lagrange's theorem, the order of any element in G must divide the order of the group. Therefore, the orders of x and y must be divisors of 3.

Since x has an order of 3, it means that x generates a cyclic subgroup of order 3. Similarly, y also has an order of 3 and generates another cyclic subgroup of order 3 in G.

Now, if x and y are elements of the same cyclic subgroup, then they are conjugate to each other. This is because within a cyclic subgroup, every element is conjugate to any other element. Therefore, if x and y are in the same cyclic subgroup, y is conjugate to x.

On the other hand, if x and y are in different cyclic subgroups, we can consider the cosets formed by these subgroups. Since the order of G is 3n and each subgroup has an order of 3, there are exactly n cosets. This means that each element in one subgroup is conjugate to exactly one element in the other subgroup. Therefore, if x and y are in different cyclic subgroups, y is conjugate to x⁻¹.

Hence, we have shown that in a group G of order 3n, if x and y are elements of order 3, y is conjugate to either x or x⁻¹.

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

Explanation:

If you used scissors to cut a vertical slice down the lampshade, then it can be unrolled to form a rectangle.

The horizontal portion of this rectangle is the distance around the circle, which is the perimeter of the circle, or the circumference. That's C = 2pi*r. Check out the diagram below to see what I mean.

The diagram shows that the diameter is 20 cm, so the radius is half that at 20/2 = 10 cm.

The circumference is C = 2*pi*r = 2*pi*10 = 20pi cm exactly

The height of the rectangle is the height of the cylinder, which is h = 30 as shown in the diagram.

The area of the rectangle is length*height = (20pi)*(30) = 600pi square cm exactly.

If we were to use something like pi = 3.14, then its approximate area is 600*pi = 600*3.14 = 1884 square cm

Let's bump this up by 10%. To do so, we'll multiply by 1.10

1.10*1884 = 2072.4

Equation that relates D = 0.5 + 20x + 0.5v

Initial distance covered d1 = 0.5km

If she rode a bicycle for x hours at an average speed of 20 kilometers per hour, then her distance during this period is:

Speed = Distance/Time

Speed is defined as the rate that an object travels through space; it is the distance traveled in a certain amount of time. A familiar example from our daily lives can be seen when we drive to work or school. Our speed is measured by how fast or slowly we drive. Our car is said to have a speed of 60 miles per hour (mph) if it will travel a distance of 60 miles in exactly 1 hour.

Distance d2 = speed × time

d2 = 20x

If she ran for 0.5 hour at an average speed of v kilometers per hour, her distance this time will be;

Distance d3 = 0.5v

If her total distance is D, then;

D = d1+d2+d3

D = 0.5 + 20x + 0.5v

Hence an equation that relates D, x, and v is D = 0.5 + 20x + 0.5v

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To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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The probability that the ball lands in an even-numbered slot is 9/19 and the probability that it is made up of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors is (9C5,9C5)

A) In an American roulette wheel that consists of 1 to 36 36, 0 and 00 numbers, from 38 numbers in a wheel, there are 18 odd numbers,

Event A = (1, 3, 5, 7, 9,11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35)

n(A) = 18

P(A) = n(A)/n(S)

18/39

= 9/19

Therefore, now we know that P(A) = 9/19

B) The denominator of the probability fraction is the total number of ways of choosing 14 of the total 31 students: 31/14.

For the numerator, you need to choose 2 of the 8 freshmen AND 3 of the 10 sophomores AND 4 of the 6 juniors AND 5 of the 7 seniors: (8C2) × (10C3) × (6C4) × (7C5) = 9C5,9C5

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\(\\ \sf\longmapsto 8r+9-4r-3r-8r\)

\(\\ \sf\longmapsto 8r-4r-3r-8r+9\)

\(\\ \sf\longmapsto -7r+9\)

\(\\ \sf\longmapsto 9-7r\)

\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Here's the solution for You !

just combine the like terms :

The quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is 2x² + x – 3.

A quotient is a quantity produced by the division of two numbers.

The quotient is most frequently encountered as two numbers, or two variables, divided by a horizontal line. The words "dividend" and "divisor" refer to each individual part, while the word "quotient" refers to the whole.

For example when 8 is divided by 2, the result obtained is 3. Thus, the quotient is 4.

To determine the quotient when (2x4 – 3x3 – 3x2 + 7x - 3) is divided by (x2 - 2x + 1), we'll apply the long division method as shown below:

              2x² + x – 3

x² - 2x + 1|2x⁴ – 3x² – 3x² + 7x - 3

              –(2x⁴ – 2x³ + 2x²)

                 x³ – 5x² + 7x – 3

              –(x³ – 2x² + x)

             –3x² + 6x – 3

            –(3x² + 6x – 3)

                    0

Thus, the quotient is 2x² + x – 3.

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Answer:

He flew for 3 hours

Step-by-step explanation:

in this question we can use the formula :

\( \boxed{t = \frac{s}{v}} \)

t is time

s is distance

v is Speed

_________________

We know that :

v = 12 miles/hour

s = 36 miles

So :

\( t = \frac{s}{v} = \frac{36}{12} \)

\( \boxed{t = 3 \: hours}\)

______________________

In an optimization problem, the goal is to find a solution to the given problem that either minimizes or maximizes the value of some parameter.

Optimization problems are ubiquitous in various fields such as engineering, economics, finance, and computer science.

In mathematical terms, an optimization problem can be formulated as follows: Given a function f(x), where x represents a set of variables, we want to find the value of x that minimizes or maximizes f(x). This can be represented as:

minimize or maximize f(x)

subject to

g_i(x) ≤ 0, i = 1, 2, ..., m

h_j(x) = 0, j = 1, 2, ..., n

where g_i(x) and h_j(x) are constraints on the variables x. The constraints can represent limitations on the values of x or relationships between different variables.

There are various methods for solving optimization problems depending on the type of function and constraints involved. Some commonly used methods include linear programming, nonlinear programming, integer programming, and dynamic programming.

Overall, optimization problems play a crucial role in decision-making processes in many fields and have numerous practical applications.

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The estimated total number of heartbeats in an average lifetime of 68.4 years is 2.9 billion heartbeats. The maximum number of 91 kg people that can safely occupy an elevator is 10 people.  The diameter of human hair is 0.000056 meters.

(a) To estimate the total number of heartbeats in a lifetime, we multiply the heart rate (69.2 beats/minute) by the number of minutes in a year (60 minutes/hour * 24 hours/day * 365.25 days/year) and then multiply by the number of years in a lifetime (68.4 years). The calculation is: 69.2 beats/minute * 60 minutes/hour * 24 hours/day * 365.25 days/year * 68.4 years ≈ 2,886,699,648 beats. Therefore, the estimated total number of heartbeats in an average lifetime is approximately 2.9 billion heartbeats.

(b) To determine the maximum number of 91 kg people that can occupy the elevator, we divide the maximum mass the elevator can hold (1 metric ton or 1000 kg) by the mass of each person (91 kg). The calculation is: 1000 kg / 91 kg ≈ 10.98. Since we can only have whole numbers of people, the maximum number of people that can safely occupy the elevator is 10.

(c) To express the diameter of a human hair in meters, we convert the given diameter of 56 μm to meters by dividing by 1 million (since 1 μm = 1/1,000,000 meters). Therefore, the diameter of human hair is approximately 0.000056 meters.

(d) To convert 74 miles per hour to meters per second, we multiply the given value by the conversion factor 1609 meters/mile and divide by 3600 seconds/hour. The calculation is 74 miles/hour * 1609 meters/mile / 3600 seconds/hour ≈ 33.12 meters/second. Therefore, 74 miles per hour is approximately equal to 33.12 meters per second.

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Answer:

I think its 6/5 or 2/3

Step-by-step explanation:

Answer:

1. A

2. C

3. D

4. C

5. D

Step-by-step explanation:

You're welcome

Answer:

b+3

Step-by-step explanation:

Largura : b+2

Área: b² +5b +6

Sabe-se que a área de um retângulo é dada pela largura multiplicada pela altura.

A partir dos zeros da equação da área é possível encontrar o polinômio da altura:

\(b^2 +5b +6\\b=\frac{-5\pm \sqrt{25-4*1*6} }{2} \\b'=-2\\b''=-3\)

Visto que o polinômio da largura é b+2, para que a equação da área seja válida, o polinômio da altura deve ser b+3.

A prova pode ser feita pela multiplicação dos polinômios:

\(A = L*H\\A=(b+2)*(b+3)\\A=b^2+5b+6\)

Answer:

8

Step-by-step explanation:

1+3 is 4

16÷4 is 4

4+4 is 8

Answer:

8

Step-by-step explanation:

16

4

+1+3

=4+1+3

=4+4

=8

9514 1404 393

Answer:

  a = (s +t)/(m +r)

Step-by-step explanation:

Add t, then divide by the coefficient of 'a'.

  \(a(m+r)-t=s \qquad\text{given}\\\\a(m+r)=s+t \qquad\text{add $t$}\\\\\boxed{a=\dfrac{s+t}{m+r}} \qquad\text{divide by $m+r$}\)