See the attached image.

Answer:

\( \frac{35}{27090} = 0.00129198966\)

Answer:

QUESTION

35 divided by 27,090

ANSWER

\(0.00129198966\)

There was no control group for comparison answers.

There was no control group to compare the results to change in blood flow could have been caused by something else .

The movement of blood through the vessels from arteries to capillaries and then into veins is referred to as blood flow.

There are two blood circulatory systems in the human body, which are linked: The systemic circulation transports blood to organs, tissues, and cells, supplying them with oxygen and other vital substances. The pulmonary circulation is where fresh oxygen enters the bloodstream.

As the heart beats, blood is pumped through a network of blood vessels known as the circulatory system. The vessels are flexible tubes that transport blood to all parts of the body.

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The power series Σx^n/(n^2 - 1) converges for values of x between -1 and 1, making the interval of convergence `[-1, 1)`.

To find the interval of convergence of the power series Σx^n/(n^2 - 1), we need to determine the values of x for which the series converges.

First, we can rewrite the power series as Σ(x^n/(n - 1)(n + 1)). This allows us to identify the series as a combination of terms of the form x^n and terms of the form 1/(n - 1)(n + 1).

The series Σx^n converges for |x| < 1, which means it converges for -1 < x < 1.

For the series 1/(n - 1)(n + 1), we need to determine its convergence separately. We can rewrite it as Σ(1/(n^2 - 1)). Notice that this series starts from n = 2 instead of n = 1, as the term n = 1 would result in a division by zero.

Using the partial fraction decomposition, we can express the series 1/(n^2 - 1) as Σ(1/2((n - 1) - (n + 1))). This allows us to separate the series into two parts: Σ(1/(2(n - 1))) and Σ(-1/(2(n + 1))).

The series Σ(1/(2(n - 1))) converges for n > 1, which means it converges for x > -1.

The series Σ(-1/(2(n + 1))) converges for n > -1, which means it converges for x < 1.

Combining the convergence intervals for both series, we find that the interval of convergence for the power series Σx^n/(n^2 - 1) is -1 < x < 1. Hence, the interval of convergence of the given series is `[-1, 1)`.

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The matrix is diagonalizable for all values of k.

To determine the values of k for which the matrix is not diagonalizable, we need to find the eigenvalues and eigenvectors of the matrix.

First, let's find the eigenvalues by solving for the characteristic equation:

| 1-k    -1 |
| -1    1-k |

det(A - λI) = (1-k-λ)(1-k-λ) - (-1)(-1) = λ^2 - 2kλ + (k^2-1)

Setting the determinant equal to zero and solving for λ, we get:

λ = k ± √(k^2-4)

Now, we need to find the eigenvectors corresponding to each eigenvalue.

For λ = k + √(k^2-4), we solve the system of equations:

(1-k-λ)x - y = 0
-x + (1-k-λ)y = 0

Plugging in λ and simplifying, we get:

-x - y = 0

This gives us the eigenvector [1, -1] for λ = k + √(k^2-4).

Similarly, for λ = k - √(k^2-4), we solve the system of equations:

(1-k-λ)x - y = 0
-x + (1-k-λ)y = 0

Plugging in λ and simplifying, we get:

x + y = 0

This gives us the eigenvector [1, 1] for λ = k - √(k^2-4).

Now, the matrix is diagonalizable if and only if it has two linearly independent eigenvectors (i.e. the eigenvectors corresponding to distinct eigenvalues).

Therefore, the matrix is not diagonalizable if and only if the two eigenvalues are equal (i.e. k ± √(k^2-4) = k).

Simplifying this equation, we get:

√(k^2-4) = 0

This equation has no real solutions, so the matrix is diagonalizable for all values of k.

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Answer:

8km= 8000m

165mm= 1.65dm

Step-by-step explanation:

1 kilometer(km)=  1000 meter(m)

165 milimeter(mm) = 0.01 decimeter(dm)

Answer:

1) 5x + 4x²(2x + 7) - 6x² - 9x

= 5x + 8x³ + 28x² - 6x² - 9x

= 8x³ + 22x² - 4x

2) the answer is 2x³ + 17x² + 25x - 50

3) the answer is y = 4x² + 14x + 18

The probability of waiting between 5 and 15 minutes is 0.3935 (or approximately 39.35%).

Step-by-step explanation:

Given that the waiting times for using the copy machine follow an exponential distribution with mean λ = 10 minutes.

(a) To find the probability that you have to wait more than 10 minutes, we need to calculate P(X > 10), where X is the waiting time.

The probability density function of exponential distribution is given by f(x) = λe^(-λx).

Thus, the probability of waiting more than 10 minutes can be calculated as follows:1 - pexp(10, rate = 1/10)

Output:[1] 0.3678794

Therefore, the probability of waiting more than 10 minutes is 0.3679 (or approximately 36.79%).

(b) To find the probability that you have to wait between 5 and 15 minutes, we need to calculate P(5 < X < 15).

This can be calculated as follows:pexp(15, rate = 1/10) - pexp(5, rate = 1/10)

Output: [1] 0.3934693

Therefore, the probability of waiting between 5 and 15 minutes is 0.3935 (or approximately 39.35%).

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In a two-player zero-sum game, player one and player two each have three strategies. Player one has a payoff matrix of (5, 2, 3), (2, 0, 4), and player two has a payoff matrix of (3, 3, 0). Find the optimal strategies for both players.1. Formulating the LP problem.

The linear programming formulation of a two-person zero-sum game is:Maximize the value of v given by: V = min (row maximums), where the minimum is taken over all rows of the matrix and the row maximums are the maximum element in each row of the matrix. Subject to the following constraints:Player 1 strategies: p11 + p12 + p13 = 1, where p11, p12, and p13 represent the probabilities of player 1 choosing strategies 1, 2, and 3, respectively.Player 2 strategies: p21 + p22 + p23 = 1, where p21, p22, and p23 represent the probabilities of player 2 choosing strategies 1, 2, and 3, respectively.Non-negativity constraints: p11, p12, p13, p21, p22, p23 ≥ 0.2. Finding the optimal strategies of the game between two playersThe given payoff matrix for the game is:5 2 32 0 43 3 0.

In this game, the row maximums are 5, 4, and 3.The linear programming formulation of the game can be represented as:Maximize V = min (row maximums)Subject to:p11 + p12 + p13 = 1p21 + p22 + p23 = 1p11, p12, p13, p21, p22, p23 ≥ 0The solution of this game is obtained by solving the following linear programming problem.Maximize V = min (5p11 + 2p12 + 3p13, 2p21 + 4p13, 3p21 + 3p22)Subject to:p11 + p12 + p13 = 1p21 + p22 + p23 = 1p11, p12, p13, p21, p22, p23 ≥ 0On solving the above problem, we get optimal strategies for the game between two players.Player 1 optimal strategy is:p11 = 0, p12 = 1/3, and p13 = 2/3.Player 2 optimal strategy is:p21 = 1/3, p22 = 0, and p23 = 2/3.Thus, player 1 should play strategy 3 with probability 2/3 and strategy 2 with probability 1/3. Player 2 should play strategy 3 with probability 2/3 and strategy 1 with probability 1/3.

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Answer:

-0.03

Step-by-step explanation:

\(3^{-3}=\frac{1}{3^3}\\=-\frac{1}{3^3}\\3^3=27\\=-\frac{1}{27}\\= -0.03\)

responder: 8,75

Cada dimensión será de 8,75 porque si la longitud es de 25 m de largo y el ancho es 10, si los sumamos y obtendremos 35. Así que 35 dividido entre 4 es 8,75

Answer:

4x+5

Step-by-step explanation:

8x2+6x−5 /2x−1

(4x+5)(2x−1) /(2x-1)

Cancels Out

4x+5

for graph this equation,

we will calculate the point on this line,

the equation is

y = 1/2x-2

when x = 0

y = 1/2 (0) - 2

y = -2

thus, the point is (0, -2)

when x = 2

y = 1/2 (2) - 2

y = 1 - 2

y = -1

thus, the point is (2, -1)

when x = 4

y = 1/2(4) - 2

y = 2 - 2

y = 0

thus, the point is , (4, 0)

so we mark these points on the graph and join them to get a line on the graph.

Answer:

the answer is..   34,67,89

Step-by-step explanation:

Answer:

1.

\(C.\\sin(N)=\frac{\sqrt{3} }{2}\)

2.

\(x=82.1\)

3.

x = 18°

Step-by-step explanation:

1. The sine ratio is sin(θ) = opposite/hypotenuse, where θ is the reference angle.  When N is the reference angle, we see that side OP with a measure of 5√3 units is the opposite side and side NP with a measure of 10 units is the hypotenuse.

Thus, we can find plug everything into the sine ratio and simplify:

\(sin(N)=\frac{5\sqrt{3} }{10} \\\\sin(N)=\frac{\sqrt{3} }{2}\)

2. We can use the tangent ratio to solve for x, which is tan (θ) = opposite/adjacent.  If we allow the 75° to be our reference angle, we see that the side measuring x units is the opposite side and the side measuring 22 units is the adjacent side.  Thus, we can plug everything into the ratio and solve for x or the measure of the opposite side:

\(tan(75)=\frac{x}{22}\\ \\22*tan(75)=x\\\\82.10511777=x\\\\82.1=x\)

3. Since we're now solving for an angle, we must using inverse trigonometry.  We can use the inverse of the tangent ratio, whose equation is tan^-1 (opposite/adjacent) = θ.  We see that when the x° is the reference angle, the side measuring 11 units is the opposite and the side measuring 33 units is the adjacent side.  Now we can do the inverse trig to find the measure of x:

\(tan^-^1(\frac{11}{33})=x\\ 18.43494882=x\\18=x\)

the probability that 30 randomly selected students had a mean age at graduation greater than 26 is approximately 0.0179, or 1.79%.

To find the probability that 30 randomly selected students had a mean age at graduation greater than 26, we can use the Central Limit Theorem since we have a large sample size (n = 30).

The Central Limit Theorem states that if we have a random sample of n observations from a population with mean μ and standard deviation σ, then the sampling distribution of the sample mean (\(\bar{X}\)) approaches a normal distribution with mean μ and standard deviation σ/√n as n increases.

In this case, the mean age at graduation is μ = 24 years and the standard deviation is σ = 5.2 years. We want to find the probability that the mean age of 30 randomly selected students (\(\bar{X}\)) is greater than 26.

First, we need to calculate the standard deviation of the sampling distribution, which is σ/√n:

σ/√n = 5.2/√30 ≈ 0.9487

Now, we can standardize the value of 26 using the sampling distribution to find the corresponding z-score:

z = (26 - μ) / (σ/√n)

  = (26 - 24) / 0.9487

  ≈ 2.1082

To find the probability of having a mean age greater than 26, we need to calculate the area under the standard normal curve to the right of the z-score of 2.1082. This can be done using a standard normal distribution table or a calculator.

Using a standard normal distribution table, the probability corresponding to a z-score of 2.1082 is approximately 0.0179.

Therefore, the probability that 30 randomly selected students had a mean age at graduation greater than 26 is approximately 0.0179, or 1.79%.

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Answer:

C

i believe  

Step-by-step explanation:

Answer:

you can't play any offline games at school unless its on your phone.

i. The maximum likelihood estimator, B for B is B_hat = n / sum(xi)

ii.  The maximum likelihood estimator of B is biased.

iii.  The maximum likelihood estimate of B for this sample is 0.077.

(i) The likelihood function is given by:

L(B) = f(x1; B) f(x2; B) ... f(xn; B)

= (B^n e^(-B*sum(xi))) / prod(xi)

Taking the natural logarithm and differentiating w.r.t. B, we get:

ln L(B) = n ln(B) - B sum(xi) - ln(prod(xi))

d(ln L(B))/dB = n/B - sum(xi)

Setting the derivative to zero and solving for B, we get:

B = n / sum(xi)

Therefore, the maximum likelihood estimator of B is B_hat = n / sum(xi).

(ii) To determine whether B is an unbiased estimator, we need to find the expected value of B_hat:

E(B_hat) = E(n / sum(xi))

= n / E(sum(xi))

Since X1, X2, ..., Xn are independent and identically distributed, we have:

E(Xi) = integral from 0 to infinity of xf(x) dx

= integral from 0 to infinity of x(x*e^(-x/8))/8 dx

= 8

Therefore, E(sum(Xi)) = n*E(Xi) = 8n, and:

E(B_hat) = n / (8n) = 1/8

Since E(B_hat) is not equal to B for any value of n, the maximum likelihood estimator of B is biased.

(iii) Substituting the given sample values, we have:

B_hat = 10 / (126 + 120 + 141 + 135 + 123 + 134 + 132 + 125 + 129 + 138)

= 0.077

Therefore, the maximum likelihood estimate of B for this sample is B_hat = 0.077.

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Answer:

71 is about 72, and 33% is about 1/3, so 33% of 71 is approximately 1/3 × 72 = 24.

.33 × 71 = 23.43, so the approximation is reasonable

The price per pound of sand is 35 cents.

Given: 3 tons of sand cost $2,100.

To find the price per pound, we have to convert 3 tons to pounds.

We know that 1 ton is equal to 2000 pounds.

So, 3 tons = 3 x 2000 = 6000 pounds.

Now we can find the price per pound by dividing the total cost by the number of pounds.

We have,

Total Cost = $2,

100Number of Pounds = 6,000Price per Pound = ?

To find the price per pound, we will use the formula,

Cost per pound = Total cost / Number of pounds

Plugging in the given values,

Price per Pound = 2,100 / 6,000Price per Pound = 0.35 dollars.

Now we have to convert the price per pound into cents because 1 dollar equals 100 cents.

Therefore, the price per pound is 0.35 x 100 = 35 cents per pound.

Therefore, the price per pound of sand is 35 cents.

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The "switch" statement is useful when you need to test a single variable against a series of exact integer, character, or string values.

The switch statement is a control structure found in many programming languages, including C++, Java, and JavaScript. It allows you to evaluate a variable or expression and compare it against multiple cases.

Each case represents a specific value that the variable or expression is tested against. When a match is found, the corresponding block of code associated with that case is executed.

The switch statement is particularly useful when you have a variable that can take on different values and you want to perform different actions based on those values. Instead of writing multiple if-else statements, the switch statement provides a more concise and efficient way to handle such scenarios.

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The general solution of the given system of equations in Problems 7 and 8 can be expressed in terms of real-valued functions.

For Problem 7, the general solution of the given system of equations can be expressed in terms of real-valued functions as follows:
x(t) = c₁e¹t + c₂e²t + c₃e³t
where c₁, c₂, and c₃ are arbitrary constants.
For Problem 8, the general solution of the given system of equations can be expressed in terms of real-valued functions as follows:
x(t) = c₁e-³t + c₂e¹t + c₃e-²t
where c₁, c₂, and c₃ are arbitrary constants.
To explain further, when solving linear systems of differential equations, we look for solutions of the form:
x(t) = c₁eᵃt + c₂eᵇt + c₃eᵈt
where c₁, c₂, and c₃ are arbitrary constants, and a, b, and c are the eigenvalues of the matrix in the system. By calculating the eigenvalues for each problem, we can determine the general solution of the system as seen above.

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It is not meaningful to interpret the y-intercept for "biking" and "heart disease" because these two variables are not linearly related.

The y-intercept is the value of the dependent variable (heart disease) when the independent variable (biking) is equal to zero. However, in this case, it does not make sense for biking to equal zero since it is a continuous variable that can take on any positive value.

Furthermore, even if we were to restrict the range of biking to a meaningful subset (such as the minimum and maximum values in the dataset), the relationship between biking and heart disease is not expected to be linear. Instead, it is likely to be nonlinear, with potential thresholds or inflection points where the relationship changes in direction or magnitude.

Therefore, it is not appropriate to interpret the y-intercept for "biking" and "heart disease" as it does not provide meaningful information about the relationship between these two variables. Instead, we should focus on interpreting the coefficients of a nonlinear regression model or other appropriate measures of association for nonlinear relationships.

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Answer:

.1/2

Step-by-step explanation:

is the same as 20÷40

which gives you 1/2

Answer:

Step-by-step explanation:

Posible answers are found

if you square (x-4), open pharenthesis -(x-4) and then combine like terms

x^2 +16-8x -x+4-6 =0

x^2 -9x +14 =0

or  you can substitute (x-4) with another letter like x-4 =a so

a^2 -a -6 =0

Answer:

u2 – u – 6 = 0 where u = (x – 4)

Step-by-step explanation:

edge 2020

lmk if im right

Examining the given function it could be found that

This makes the third option a more correct option

The term vertex is used most times when the graph discussed is a curve, I t represents the peak of the graph. It may be the lowest or highest value depending on where the graph opens

This graph opens up and the vertex is the least value in the y axis which is 0, that is (2, 0)

The range is in the y axis. It is all the values in the y direction, that is from least to the maximum values. making the value: {y | 0 ≤ y < ∞} correct

This tow values are seen in the third option

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The number formed by the digits 16, 06, and 68 is 160668, which is determined by concatenating them in the given order.

To determine the number formed by the given digits, we concatenate them in the given order. Starting with the first digit, we have 16. The next digit is 06, and finally, we have 68. By combining these three digits in order, we get the number 160668.

When concatenating the digits, the position of each digit is crucial. The placement of the digits determines the resulting number. In this case, the digits are arranged as 16, 06, and 68, and when they are concatenated, we obtain the number 160668. It's important to note that the leading zero in the digit 06 does not affect the value of the resulting number. When combining the digits, the leading zero is preserved as part of the number.

Therefore, the number formed by the digits 16, 06, and 68 is 160668.

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