show 1^3 2^3 ⋯ n^3= 〖[n(n 1)/2]〗^2, where n is any positive integer.

Answer:

22

Step-by-step explanation:

Hey There!

Your answer is 22

I got this answer by dividing 11 by 50%

hope this helps :)

Answer:

Your answer is 22

Step-by-step explanation:

7/11 is the probability of choosing a blue block.

Given:

a child has a box full of colored building blocks. he will choose one block without looking.

the odds against choosing a blue block are 47.

We need the probability of choosing a blue block,

Odds:

The odds of an event is the ratio of the probability of an event to the probability of its complement. In other words, it is the ratio of favorable outcomes to unfavorable outcomes.

The odds against choosing a blue block are 4/7 means. In 11 chances, 4 events will happen in which blue block will not be chosen and 7 events will happen in which blue blocks will be chosen.

So, the probability of not choosing the blue block is 4/11.

Probability of choosing blue block: complement of 4/11 which is equal to 7/11.

Hence we get the required answer.

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Answer:

"HL" in geometry typically refers to "Hypotenuse-Leg". This term is often used when talking about right-angled triangles, where the hypotenuse is the longest side, opposite the right angle, and the legs are the two shorter sides adjacent to the right angle.

Answers in bold:

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Explanation:

I'm not sure how your calculator works, but I'm assuming you can copy/paste the given numbers into the calculator somehow to have it determine the regression equation.

The tool I used is GeoGebra and the regression equation it produced was

y = 1.2x - 21.3

Each decimal value is approximate and rounded to the nearest tenth.

---------------------------

Once we determine the regression line, plug the homework grade x = 45 to find the associated test grade (y). This is a predicted test grade.

y = 1.2x - 21.3

y = 1.2*45 - 21.3

y = 32.7

y = 33

If a student got a 45 on a homework, then we predict their test grade should be around 33.

Answer: I don't know

Step-by-step explanation: good luck

Answer:

A. 3/4

Step-by-step explanation:

\(\frac{8}{1}\) x \(\frac{3}{4}\) = \(\frac{24}{4}\) = 6

6 is less than 8

It is true that the a solution to equation 2x+10 = 4x+10 is zero.

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that the equation 2x+10 = 4x+10

Solve for the x;

2x+10 = 4x + 10

Subtract 10 from both side;

2x = 4x

Now solving;

x = 0

Also, when we multiply both 4 and 2 by 0, always get 0 meaning that we get the same answer for both sides.

Therefore, It is true that the a solution to 2x+10 = 4x+10 is zero.

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Answer:

Some ways on how to solve the questions:

Use formulas as given by your teacher.

Application of the Pythagorean Theorem would be useful for 5 and 6.

For 7-10 use a formula as given by your teacher (just basic operations like plugging in the formula for those questions)

For 11 and 12 draw it out.

The specified circle's center is at (-7, 4). The revised center will therefore be (-7 - 3, 4 - 4) = (-10, 0).

We must deduct 3 from x and 4 from y in order to move the circle 3 units to the right and 4 units below. The revised center will therefore be (-7 - 3, 4 - 4) = (-10, 0).

By inserting the new center and simplifying, it is possible to find the equation for the resulting circle. The equation for a circle has the conventional form\((x - h)^2 + (y - k)^2 = r^2\), where (h, k) is the circle's center and r is its radius. Since the original equation is\((x+7)^2+(y-4)^2=36\), we may substitute the new center (-10, 0) and the radius 6 to obtain \((x + 10)^2 + y^2 = 36\)as the equation of the translated circle.

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To solve the given system of equations using the Gauss-Jacobi method, we'll start with initial guesses for X₁, X₂, X₃, and X₄, and then iterate until we reach the desired tolerance value. Let's begin the calculations.

1. Initial Guesses:

  X₁₀ = 0, X₂₀ = 0, X₃₀ = 0, X₄₀ = 0

2. Iterative Steps:

  Iteration 1:

  X₁₁ = (15 - 3*X₂₀*X₃₀ - 8*X₄₀) / 1

  X₂₁ = (6 - 10*X₁₀*X₂₀ - X₃₀ - X₄₀) / 2

  X₃₁ = (25 + X₁₀ - 11*X₂₀*X₃₀) / 3

  X₄₁ = (-11 - 2*X₁₀*X₂₀ - 10*X₃₀) / 10

  Iteration 2:

  X₁₂ = (15 - 3*X₂₁*X₃₁ - 8*X₄₁) / 1

  X₂₂ = (6 - 10*X₁₁*X₂₁ - X₃₁ - X₄₁) / 2

  X₃₂ = (25 + X₁₁ - 11*X₂₁*X₃₁) / 3

  X₄₂ = (-11 - 2*X₁₁*X₂₁ - 10*X₃₁) / 10

  Continue iterating until the values converge within the specified tolerance.

3. Convergence Criterion:

  Repeat the iterations until the values of X₁, X₂, X₃, and X₄ do not change significantly (i.e., the changes are within the tolerance value of 0.0050).

  |X₁n+1 - X₁n| ≤ 0.0050

  |X₂n+1 - X₂n| ≤ 0.0050

  |X₃n+1 - X₃n| ≤ 0.0050

  |X₄n+1 - X₄n| ≤ 0.0050

Due to the complexity of the calculations, I cannot provide the exact values of X₁, X₂, X₃, and X₄ within the given tolerance without running the iterations.

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a) The point estimate of the proportion of triathletes who suffered a training-related overuse injury during the past year is approximately 0.5364. b) The approximate 90% confidence interval for the proportion of triathletes who suffered a training-related overuse injury during the past year is (0.4970, 0.5758).  c) The random sampling assumption cannot be determined without additional information about the survey methodology and sampling process.

a) To obtain a point estimate of p, we divide the number of triathletes who suffered a training-related overuse injury (177) by the total number of respondents (330):

Point estimate of p = 177/330

≈ 0.5364

Therefore, the point estimate of p is approximately 0.5364.

b) To find an approximate 90% confidence interval for p, we can use the formula for the confidence interval of a proportion:

Confidence interval = p ± z * √((p(1-p))/n)

where:

p is the sample proportion (0.5364),

z is the z-score corresponding to the desired confidence level (90% corresponds to a z-score of approximately 1.645),

n is the sample size (330).

Substituting the values into the formula:

Confidence interval ≈ 0.5364 ± 1.645 * √((0.5364*(1-0.5364))/330)

Calculating the confidence interval:

Confidence interval ≈ 0.5364 ± 1.645 * √(0.2505/330)

Confidence interval ≈ 0.5364 ± 1.645 * 0.0239

Confidence interval ≈ 0.5364 ± 0.0394

Confidence interval ≈ (0.4970, 0.5758)

Therefore, the approximate 90% confidence interval for p is (0.4970, 0.5758).

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Answer:

Its is (B.)  Also the answer is

x= 40/17

​

Step-by-step explanation:

5x+12x=40

Combine 5x and 12x to get 17x.

17x=40

Divide both sides by 17.

x=

17

40

​

The dependent variable in this case would be the total number of hot dogs needed for the cookout.

In mathematics, a variable is a symbol, usually a letter, used to represent a quantity in an equation or in a mathematical expression. It can be thought of as a placeholder that can take on different values in a given equation or expression. Variables are essential for mathematics because they allow us to explore different scenarios and solve problems.

This is dependent on the number of guests attending, which is the independent variable. Depending on how many people show up, the individual will need to adjust the amount of hot dogs to accommodate the guests.

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From the given question, we did not reject the null hypothsis which makes the answer to this question a type II error

Data:

This is an error done from rejecting the null hypothesis (H_0) when the null hypothesis is true, is known as type I error.

This is an error committed from not rejecting the null hypothesis (H_0) when actually the null hypothesis is false, is known as type II error

Given that the air filter changes are not effective i.e. ȝ = 24.7.

It means that if we do not reject the null hypothesis we shall make a correct decision. So consequently the chance of type II error is impossible because it occurs when we do not reject the null hypothesis, but here not rejecting the null hypothesis will lead to correct decision.

The answer to this question is type II error

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We find the limit of the expression as x approaches -11 is 0.

The limit is a concept in mathematics that represents the value that a function approaches as the input approaches a certain value.

To find the limit of the given expression, we substitute the value that x approaches into the expression. In this case, x approaches -11.

So, we substitute -11 for x in the expression:

lim x→−11 (x+11)/(10−x^2−21)

= (-11+11)/(10−(-11)^2−21)

= 0/(10−121−21)

= 0/(10−142)

= 0/(-132)

= 0

Therefore, the limit of the expression as x approaches -11 is 0.

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The probability of passing the exam, given that the lowest passing grade is 6 correct out of 8, is approximately 0.1445 or 14.45%.

To find the probability of passing the exam if the lowest passing grade is 6 correct out of 8, we need to calculate the probability of getting 6, 7, or 8 questions correct.

In an 8-question true-false exam, there are 2 possible outcomes (true or false) for each question. Therefore, the total number of possible outcomes for answering 8 questions is 2^8 = 256.

To determine the number of ways to get exactly 6, 7, or 8 questions correct, we can use combinations. The number of ways to choose k items from a set of n items is given by the combination formula:

C(n, k) = n! / (k! * (n-k)!)

For 6 questions correct:

C(8, 6) = 8! / (6! * (8-6)!) = 28

For 7 questions correct:

C(8, 7) = 8! / (7! * (8-7)!) = 8

For 8 questions correct:

C(8, 8) = 8! / (8! * (8-8)!) = 1

Therefore, there are 28 + 8 + 1 = 37 ways to pass the exam (getting 6, 7, or 8 questions correct).

The probability of passing the exam is the ratio of the number of favorable outcomes (passing) to the total number of possible outcomes:

P(passing) = number of favorable outcomes / total number of possible outcomes

P(passing) = 37 / 256 ≈ 0.1445

So, the probability of passing the exam, given that the lowest passing grade is 6 correct out of 8, is approximately 0.1445 or 14.45%.

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Add dress and shoes together:

30 + 25 = 55

1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)

Multiply total price by 4/5:

55 x 4/5 = (55 x4)/5 = 220/5 = 44

Total after discount is 44

Now add shipping:

44 + 8 = 52

Total paid = £52

Answer:

She will pay $52

Step-by-step explanation:

So she buys them both, which equals 55 dollars. But the website has a deal that is if you buy both of them it's 1/5 of the price off. And 1/5 of 55 is $11, so 55-11=44. You might think you're done but your not. At the end it says they add $8 for the shipping/handling, which is 44+8. This equals 52 dollars.  By the way substitute this money sign $ for the one on your page

Answer:

Max Area = 105,800 sq.ft

Step-by-step explanation:

A square will always give us the maximum area.

Thus, one side would be;

920/4 = 230 feet

So, we want a square 230 ft by 230 ft

however, from the question, we are to use the creek as one side. So, we'll take the 230 ft that we don't need because of the creek and then add it to the opposite side to get 230 + 230 = 460 ft.

Thus,we now have a rectangle with dimensions: 230 ft by 460 ft

Area is given by;

area = length × width

Maximum Area = 230 × 460

Max Area = 105,800 sq.ft

Symmetric and asymmetric cryptography are both used to secure data, with symmetric algorithms being faster and better suited for bulk data encryption while asymmetric algorithms provide an additional layer of security and are better suited for smaller data sets.

Symmetric cryptographic algorithms use the same key to encrypt and decrypt data, while asymmetric cryptographic algorithms use different keys to encrypt and decrypt data. Symmetric algorithms are generally faster than asymmetric algorithms, making them more suitable for bulk data encryption. Additionally, symmetric algorithms are not vulnerable to man-in-the-middle attacks.

Asymmetric algorithms, on the other hand, are more secure than symmetric algorithms since they require two different keys to encrypt and decrypt data. This makes them more difficult to break, as an attacker would need to obtain both keys. Asymmetric algorithms are also more suitable for smaller amounts of data, such as digital signatures, where the security of the data is more important than speed. However, asymmetric algorithms are vulnerable to man-in-the-middle attacks and other types of attacks that target the keys used to encrypt and decrypt data.

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Answer:

.5 or 1/2

Step-by-step explanation:

Y^2x 24^2=25^2

Y=7

7=14x

x=.5

The value of x is 0.5.

Here we use Pythagoras Theorem

\(Y^2 - 24^2=25^2\)

Y=7

Now  

7 = 14x

So, x=.5

Therefore we can conclude that The value of x is 0.5.

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The equation of the function is −3<x<1. See the explanation below.

Given the graph of function f is a parabola,

Thus, equation of parabola  is y=(x+3)(x+1)

⇒y=x² +4x+3

⇒y−3+2²

= x²+2× x ×2+2²

⇒y+1=(x+2)²

We can rewrite this as

 (x+2)² =4× (1/4) ×(y+1)

Comparing the above equation to the equation of a parabola, (x−h)² =4a(y−k), where (h,k) is the coordinates of vertex of parabola, we have,

(h,k)≡(−2,−1)

Hence, the x coordinate of the vertex is −2 which lies in the interval −3<x<1

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Answer:

x 2 + 5 x + 6

Step-by-step explanation:

y = m x + c

y- intercept

x = 0

y = (-2) (0) + 3

=3

(x =0,  y = 3)

Answer:

Step-by-step explanation:

Answer:

3404.9(1dp)

Step-by-step explanation:

For the given pairs of P-values and significance levels, the observed results would lead to the following decisions: (a) fail to reject, (b) reject, (c) fail to reject.

In more detail, let's analyze each pair separately:

(a) P-value = 0.084, ? = 0.05: Since the P-value (0.084) is greater than the significance level (0.05), we fail to reject the null hypothesis (H0) at the 0.05 significance level. The observed result is not statistically significant enough to conclude a rejection of H0.

(b) P-value = 0.003, ? = 0.001: In this case, the P-value (0.003) is less than the significance level (0.001), indicating strong evidence against H0. Therefore, we reject the null hypothesis at the 0.001 significance level.

(c) P-value = 0.498, ? = 0.05: Since the P-value (0.498) is greater than the significance level (0.05), we fail to reject H0 at the 0.05 significance level. The observed result does not provide enough evidence to reject the null hypothesis.

In conclusion, the decisions would be to fail to reject H0 for cases (a) and (c), and to reject H0 for case (b).

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Answer:

B: 4/d-6

Step-by-step explanation:

Plato answer

Answer:

I believe it would be 3n^2 (last option)

Step-by-step explanation:

By definition;

monomial- one term

coefficient- the number in front of a variable

(in this case, without the squared power, it would look something along the lines of "3n", where the 3 is the coefficient and the "n" is the variable.)

sooooooo,

even without the "2nd degree" we can just use the system of elimination and cross out the answers that don't consist of one number, and that don't have a coefficient of 3.

I hope this answer was helpful, please let me know if you got it correct. :)

This mathematical theorem is called a. the law of large numbers.

The law of large numbers states that if an experiment with a random outcome is repeated a large number of times, the empirical probability of an event is likely to be close to the true probability. This theorem is a fundamental concept in probability theory and statistics.

When conducting an experiment, the true probability of an event represents the long-term average of its occurrence. However, in practice, it is often impossible to know the true probability directly. This is where the law of large numbers comes into play.

It suggests that by repeating the experiment numerous times, the empirical probability, which is calculated based on observed outcomes, will converge to the true probability. The law of large numbers provides a theoretical foundation for making inferences about probabilities based on observed data.

It assures us that as the number of trials increases, the empirical results become more reliable and representative of the true underlying probabilities. This is especially useful when dealing with random phenomena or conducting statistical analyses.

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