Evaluate: √225 . Is the result an integer? someone please help me-

The team that has best overall record for the season is the falcons because they have a larger mean value of 20.9 points

The mean is the sum of all values divided by the total number of values. Therefore mean can be expressed as;

mean = sum of item /number of item

The mean value of Eagles = (3+24+14+27+10+13+10+21+24+17+27+7+40+37+55)/15

= 310/15 = 20.67

The mean value of falcons = (24+24+10+7+30+28+21+6+17+16+35+30+28+24+14)/15

= 314/15 = 20.93

Therefore since the mean value of falcons is higher than eagles, falcons has the best overall performance.

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Answer:

1. His percentage score is 65%

To minimize the cost of the material, the cylinder should have a radius of approximately 0.711 meters and a height of approximately 3.577 meters.

To minimize the cost of the material used to construct the cylindrical container, we need to optimize the dimensions of the container. Let's denote the height of the cylinder as h and the radius as r.

The volume of the cylinder is given by V = πr^2h, and we are given that the capacity of the container is 7 m^3. Therefore, we have the equation:

πr^2h = 7

We need to find the dimensions (r and h) that minimize the cost of the material used for the container. The cost is determined by the surface area of the container, which includes the top, bottom, and side.

The surface area of the container is given by SA = 2πrh + 2πr^2. The cost of the material for the top and bottom is $6 per square meter, while the cost of the material for the side is $9 per square meter.

The total cost C is given by:

C = 6(2πr^2) + 9(2πrh)

We can express C in terms of a single variable by using the volume equation to solve for h:

h = 7 / (πr^2)

Substituting this expression for h into the equation for C:

C = 6(2πr^2) + 9(2πr(7 / (πr^2)))

  = 12πr^2 + 18(7 / r)

  = 12πr^2 + 126 / r

To minimize the cost, we take the derivative of C with respect to r, set it equal to zero, and solve for r:

dC/dr = 24πr - 126/r^2 = 0

24πr^3 - 126 = 0

r^3 = 126 / (24π)

r = (126 / (24π))^(1/3)

Substituting this value of r back into the equation for h:

h = 7 / (π((126 / (24π))^(1/3))^2)

Finally, we can find the dimensions that minimize the cost of the material:

r ≈ 0.711 meters (rounded to three decimal places)

h ≈ 3.577 meters (rounded to three decimal places)

Therefore, to minimize the cost of the material, the cylinder should have a radius of approximately 0.711 meters and a height of approximately 3.577 meters.

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To compute the Legendre transform of a function, we start with the function \(f(x)\) and define a new variable \(p\) as the derivative of \(f\) with respect to \(x\), i.e., \(p = \frac{{df}}{{dx}}\). Then the Legendre transform of \(f(x)\) is given by \(g(p) = px - f(x)\).

1. Compute the Legendre transform of \(f(x) = x^2\):

  First, we need to find \(p = \frac{{df}}{{dx}}\) by differentiating \(f(x)\):

  \(\frac{{df}}{{dx}} = \frac{{d}}{{dx}}(x^2) = 2x\)

  Now, we can substitute this value of \(p\) into the Legendre transform formula:

  \(g(p) = px - f(x) = 2x \cdot x - x^2 = x^2\)

  Therefore, the Legendre transform of \(f(x) = x^2\) is \(g(p) = x^2\).

2. Compute the Legendre transform of \(g(p)\) to recover \(f(x)\):

  We'll start with the expression for \(g(p)\), which is already in the form of a Legendre transform:  \(g(p) = x^2\) .   To recover \(f(x)\), we need to find \(x\) as a function of \(p\) by inverting the derivative. Let's differentiate \(g(p)\) with respect to \(p\):  \(\frac{{dg}}{{dp}} = \frac{{d}}{{dp}}(x^2) = 0\).  Since the derivative with respect to \(p\) is zero, it implies that \(x\) is a constant with respect to \(p\). Let's call this constant \(c\). Therefore, \(x = c\) for any value of \(p\).

Hence, by the Legendre transform, \(f(x) = c^2\), where \(c\) is a constant.

The Legendre transform of \(f(x) = x^2\) is \(g(p) = x^2\), and the Legendre transform of \(g(p)\) recovers \(f(x) = c^2\), where \(c\) is a constant.

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The Queen problem involves placing N queens on an N x N chessboard in such a way that no two queens threaten each other. Backtracking is a common technique used to solve this problem.

Here are the steps involved in backtracking to solve the Queen problem: Start with an empty chessboard.

Place the first queen in the first row and first column.

Move to the next row and try to place the second queen in a safe position.

If a safe position is found, move to the next row and repeat the process.

If no safe position is found, backtrack to the previous row and try a different position.

Continue this process until all queens are placed or all possibilities have been exhausted.

If all queens are successfully placed, the problem is solved. If not, there is no solution.

Throughout the process, a backtracking tree is formed, where each node represents a different configuration of queen placements. The tree branches out as different possibilities are explored and backtracks when a dead end is reached.

Note: The condition of no queen standing on a square with a bomb can be included as an additional constraint in the backtracking algorithm.

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Answer:

5 points

Step-by-step explanation:

12-5=7

7+2=9

9-4=5

Quinn's final score would be

5 points

because

12-5=7 then 7+2=9 then 9-4=5

Hope this helps

Have a great day/night

Feel free to ask any questions

Step-by-step explanation:

(3x^2-4x)-(5x-x^2)

= 3x^2-4x-5x+x^2

= 3x^2+x^2-4x-5x

= 4x^2-9x

therefore, option B us the correct answer.

By the subtracting the polynomials, 4x² - 9x is correct.

Given polynomial is:

To subtract the given polynomials.

\(\sf (3x^2 - 4x) - (5x - x^2 )}\)

In this polynomial - goes inside the two terms of 2nd polynomial.

\(=\sf 3x^2-4x-5x-x^2\)              

Negative of negative is positive.

\(\sf 3x^2-4x-5x+x^2\)              

Arrange the like terms together.

\(\sf =3x^2+x^2-9x\)      

\(\sf =4x^2 - 9x\)

Writing the terms from highest to lowest degree.

              \(= \sf 4x^2 - 9x\)

\(\sf (3x^2 - 4x) - (5x - x^2 )=\bold{4x^2 - 9x}\).

Thus, by the subtracting the polynomials, 4x² - 9x is correct.

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Based on the information provided, the null hypothesis that will be rejected is H: μ = 161.7 mins (Option A).

To determine which null hypothesis will be rejected, we need to compute the test statistic and compare it to the critical value. First, we need to calculate the standard error of the mean:

SE = σ/√n = 45/√758 ≈ 1.639

where σ is the population standard deviation (given as 45) and n is the sample size (given as 758).

Next, we need to calculate the test statistic:

t = (X - μ) / SE = (165 - μ) / 1.639

where X is the sample mean (given as 165) and μ is the hypothesized population mean.

At a 95% confidence level with 757 degrees of freedom (df = n - 1), the critical t-value is ±1.960.

Now we can test each null hypothesis:

A) H: μ = 161.7 mins

t = (165 - 161.7) / 1.639 ≈ 2.008

The calculated t-value (2.008) is greater than the critical t-value (1.960), so we reject the null hypothesis H: μ = 161.7 mins.

Therefore, the null hypothesis that will be rejected is H0: μ = 161.7 mins (Option A).

Note: This question is incomplete; here are the missing answers:

A H: μ=161.7 mins

B H: μ=162.0 mins

C H: μ=162.8 mins

D H: μ=167.9 mins

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Step-by-step explanation:

You have to go to Y axis first then to X. For example : (4,5) go up 4 and go to x axis and when u get to 5 you put a dot. The same thing if is (-4,-5) go down 4 and to the left 5 and mark a dot. When you mark the dot put (_,_).

Hope you understand. Let me know if you don't.

Answer:

The answer is -4.

Step-by-step explanation:

Whenever you're adding a positive number to a negative number you are basically subtracting. So 3+-7 will be -4.

In total 4 hours Suzette ran for 1 hour and biked for 3 hours having average speed 5mph and 15mph respectively.

What is Average Speed?

Average speed is defined as total distance covered by the body divided by the time taken.

Average speed = Total distance covered/ total time taken

According to the given question:

Let x = total hours ran and y = total hours biked

Total time she ran and biked = 4h

∴ x + y = 4 ----- 1)

Total distance she biked and ran = 50 miles

Now, average running speed = 5 mph

Distance she ran = 5x

Similarly average biking speed = 15 mph

Distance she biked = 15y

∴ 5x + 15y = 50 ----- 2)

Solving 1) and 2) to get the values of x and y

Substituting x = 4 - y from 1) in 2)

5 (4 - y) + 15y = 50

On solving further we get y = 3

Substituting y = 3 to get x

x = 4 - 3

x = 1

Hence the Suzette ran for 1h and biked for 3h.

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The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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Sam can jump 4 steps at a time and Nina can jump 5 steps at a time. on 20th of the steps will both meet if both start jumping together. we can find it out with the help of HCM and LCM

GIVEN

Sam can jump four steps at a time and Nina can jump five steps at a time.

TO DETERMINE

On which of the steps will both meet if both start jumping together

EVALUATION

Here it is given that Sam can jump 4 steps at a time and Nina can jump 5 steps at a time.

Now we find the LCM of 4 and 5

Since 4 and 5 are prime to each other

So LCM of 4 and 5 = 4 × 5 = 20

Hence after 20 steps both meet if both start jumping together

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Based on the zeros and the end behavior of the function, we can choose the graph that matches these characteristics. The graph should have x-intercepts at x = 0 (with multiplicity 3) and x = 1, and it should exhibit a rising behavior on both sides.

The given function f(x) = (x^3)(x^2)(x - 1) is a polynomial function. By analyzing the factors of the function, we can determine its zeros, which are the x-values where the function equals zero.

The zeros of the function occur when any of the factors equal zero. Setting each factor to zero, we find the following zeros:

x^3 = 0  --> x = 0

x^2 = 0  --> x = 0

x - 1 = 0  --> x = 1

Therefore, the zeros of the function are x = 0 (with multiplicity 3) and x = 1.

Now, let's consider the end behavior of the graph. As x approaches negative or positive infinity, we can determine the behavior of the function.

Since the highest power of x in the function is x^3, we know that the end behavior of the graph will match that of a cubic function. If the leading coefficient is positive, the graph will rise to the left and rise to the right. If the leading coefficient is negative, the graph will fall to the left and fall to the right.

In the given function, the leading coefficient is positive (since the coefficient of x^3 is 1). Therefore, the graph of the function will rise to the left and rise to the right as x approaches negative or positive infinity.

Based on the zeros and the end behavior of the function, we can choose the graph that matches these characteristics. The graph should have x-intercepts at x = 0 (with multiplicity 3) and x = 1, and it should exhibit a rising behavior on both sides.

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The probability that there will be at least four accidents at the intersection during the weekend, given that at least two accidents occurred, is approximately 0.0113

To find the probability that there will be at least four accidents at the intersection during the weekend, given that at least two accidents occurred, we can utilize conditional probability and the properties of the Poisson distribution.

Let's define the following events:

A: At least two accidents occurred at the intersection during the weekend.

B: At least four accidents occurred at the intersection during the weekend.

We need to find P(B|A), the probability of event B given that event A has occurred.

Using conditional probability, we have:

P(B|A) = P(A ∩ B) / P(A)

To find P(A ∩ B), the probability of both A and B occurring, we can subtract the probability of the complement of B from the probability of the complement of A:

P(A ∩ B) = P(B) - P(B') = 1 - P(B')

Now, let's calculate P(B') and P(A).

P(B') = P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3), where X follows a Poisson distribution with parameter 0.7.

Using a calculator or software to evaluate the Poisson distribution, we find:

P(B') = 0.4966

P(A) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1), where X follows a Poisson distribution with parameter 0.7.

Again, using a calculator or software, we find:

P(A) = 0.4966

Now we can substitute these values into the formula for conditional probability:

P(B|A) = (1 - P(B')) / P(A)

Calculating the expression:

P(B|A) = (1 - 0.4966) / 0.4966 ≈ 0.0113

Therefore, the probability that there will be at least four accidents at the intersection during the weekend, given that at least two accidents occurred, is approximately 0.0113 (rounded to four decimal places).

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The dimensions of the rectangle are:

To find the dimensions of the rectangle:

Let,

Extend the area equation as follows:

Rearrange:

Substitute known information for A:

To solve quickly, factor the left side (or use the quadratic formula):

The factorial solutions for w are -2 and 7/2.

Assuming this is a genuine rectangle, the width must be positive.

As a result, the length is:

That is,

Therefore, the dimensions of the rectangle are:

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The complete question is given below:
The area of a rectangle is 14 yd², and the length of the rectangle is 3 yd less than double the width. find the dimensions of the rectangle.

Answer:

\(7\sqrt{2} \ cm\)

Step-by-step explanation:

Formula ………………………………………………

The length of a diagonal of a square with side of length “a” is :

\(a\sqrt{2}\)

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

Since a = 7 (in our case) then

\(\text{the length of the diagonal} =7\sqrt{2}\)

Note : you can also use the Pythagorean theorem.

The probability that the sum of the numbers rolled on the dice is even =1/2.

For the given question,

A fair dice is rolled twice.

Six different results are available with a single roll of the dice (1,2,3,4,5,6)

Therefore, if two dice are rolled, there are a total of 36 possible results, or 6².

Sample space for the sum of even = [(1,1), (1,3), (1,5), (2,2), (2, 4),(2,6), (3, 1), (3,3),(3,5),(4,2),(4,4),(4,6), (5, 1), (5,3),(5,5),(6,2),(6,4),(6,6)]

Total sample space for sum of even = 18

For the probability that the sum of the numbers rolled is even is -

probability (sum is even) = 18 / 36 = 1/2

Thus, the probability that the sum of the numbers rolled is even is 1/2.

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Answer:

1

Step-by-step explanation:

To find the median number of musical instruments played, we first need to arrange the data in ascending order:

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3

Next, we count the total number of responses, which is 15. Since 15 is an odd number, the median will be the average of the middle value.

The middle value is 1

Hence, the median number of musical instruments played is 1.

rate of blowing balloons of Alexa = 15/20 = 0.75

rate of blowing balloons of Sara = 18/25 = 0.72

rate of blowing balloons of Shirley= 16/21 = 0.76

rate of blowing balloons of Sam = 12/23 = 0.52

from above calculation we concluded Shirley can blow balloons at the fastest rate!

If the mean arrival rate is 6 customers per hour, then the mean inter-arrival time is calculated to be 10 minutes.

The mean arrival rate of customers = 6 customers/ hour.

Therefore, the mean inter-arrival rate is given as:

Mean inter-arrival rate = 1/ mean arrival rate = 1/6 hour = 1/6 * 60 minutes = 10 minutes.

The inter-arrival time is the time between two consecutive arrivals and is often modeled as an exponential random variable. The exponential distribution has a mean equal to the reciprocal of the rate parameter, which in this case is 6 customers per hour. So, the mean inter-arrival time is 1/6 hour or 10 minutes.

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Answer:

$55.2

Step-by-step explanation:

5632

first multiply 2836 by 2 then do +18 then -58

Everything is graphed out and labeled here for ya!

The measure of ∠CFE is 40°

To solve for triangle ∠CEF, we know that

Parallel to DE is BC

Arc length BD = 58°

Arc length DE = 142°

We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.

The arcs BD and DE are split in half by the line ZT.

Which is:

Arc SC = 1/(1/2(arc BC) = 1/(58)

Arc SC = 29°

142 = 1/2(arc DE) + arc TE

Arc TE = 71°

Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Angle inscribed equals half of angle intercepted

CFE = 1/2 of Arc CE

<CFE = 1/2(80)

< CFE = 40°

The above answer is based on the full question below;

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer

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Variability provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out to clustered together. The purpose for measuring variability is to obtain an objective measure of how the scores are spread out in a distribution

Variability also measure how accurately individual score or sample represent the entire population

When the standard deviation is 0 , the scores have no variability.

Variability describes how far the data points are from each other and from the center of the distribution. In addition to measures of central tendency, measures of variability provide descriptive statistics that summarize the data.

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Answer:

Velocity, because there is a specific direction. Velocity and acceleration are both vector quantities which means they require direction. Speed on the other hand, only requires distance and time.

Step-by-step explanation: