Nakeisha earned a score of 775 on Exam A that had a mean of 750 and a standard deviation of 25. She is about to take Exam B that has a mean of 250 and a standard deviation of 40. How well must Nakeisha score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.

The length of side BC is approximately 8.126 units.

In a right triangle, the side inverse the right point is known as the hypotenuse, and the other different sides are known as the legs. As a result, sides AB, BC, and AC make up the hypotenuse in the triangle ABC.

Utilizing geometry, we can relate the points of the triangle to the lengths of its sides. Specifically, we can utilize the sine, cosine, and digression capabilities to find the lengths of the sides given specific point measures.

Since angle A is 65 degrees and angle B is a right angle, we know that angle C is 180 - 90 - 65 = 25 degrees (by the angle sum property of triangles). Using the sine function, we have:

sin(65) = AB / AC

which implies:

AC = AB / sin(65)

Using a calculator, we can compute sin(65) ≈ 0.9063, so:

AC = 18 / 0.9063 ≈ 19.849

Now, using the cosine function, we have:

cos(65) = BC / AC

which implies:

BC = AC * cos(65)

Using the value we found for AC, we get:

BC ≈ 19.849 * cos(65) ≈ 8.126

Therefore, the length of side BC is approximately 8.126 units.

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The expected length of series of four coin flips is 1.

Given data:

To find the expected length of the longest run in a series of four coin flips, consider all possible outcomes and calculate their probabilities.

No runs: If all four coin flips result in alternating heads and tails, there are no runs.

The probability of this outcome is \((\frac{1}{2})^4 = \frac{1}{16}\)

One run of length 2: There are three positions where a run of length 2 can occur: HH, TT, or HT.

The probability of this outcome is \(3*(\frac{1}{2})^4 = \frac{1}{16}\)

One run of length 3: There are two positions where a run of length 3 can occur: HHH or TTT.

The probability of this outcome is \(2*(\frac{1}{2})^4 = \frac{1}{16}\)

One run of length 4: There is only one position where a run of length 4 can occur: HHHH or TTTT.

The probability of this outcome is \((\frac{1}{2})^4 = \frac{1}{16}\)

To find the expected length of the longest run, multiply the length of each possible run by its corresponding probability and sum them up:

Expected length of longest run = \((0 * \frac{1}{16}) + (2*\frac{3}{16}) + (3 * \frac{2}{16}) + (4 * \frac{1}{16})\)

= (0 + 6 + 6 + 4) / 16

= 16 / 16

= 1

Hence, the expected length of the longest run in a series of four coin flips is 1.

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Answer:

y =  \(\frac{9}{7}\)x + 1

Step-by-step explanation:

slope intercept form

y = mx + b

9x - 7y = -7

Subtract 9x to both sides

- 7y = -7 - 9x

Divide -7 into both sides

y = 1 + (9/7)x

y = (9/7)x + 1

One possible half-angle identity that can be used to solve this problem is: tan (θ/2) = sin θ / (1 + cos θ)

We can apply this identity by letting θ = 5π/6, since 5π/12 is half of that angle. Therefore:
tan (5π/12) = tan [(1/2) * (5π/6)]
Using the half-angle identity, we have:
tan (5π/12) = sin (5π/6) / [1 + cos (5π/6)]
Now we need to find the values of sin (5π/6) and cos (5π/6). To do that, we can use the fact that sin (π - x) = sin x and cos (π - x) = -cos x. Therefore:
sin (5π/6) = sin [π - (π/6)] = sin (π/6) = 1/2
cos (5π/6) = -cos (π/6) = -(√3/2)
Substituting these values back into the half-angle identity, we get:
tan (5π/12) = (1/2) / [1 - (√3/2)]
To simplify this expression, we can use the difference of squares formula:
a² - b² = (a + b)(a - b)
By letting a = 1 and b = (√3/2), we get:
1 - (√3/2)² = 1 - 3/4 = 1/4
Therefore:
tan (5π/12) = (1/2) / [1 - (√3/2)] = (1/2) * (1 / [1 - (√3/2)]) * [(1 + (√3/2)) / (1 + (√3/2))] = (1 + √3) / (2 - √3)
This is the exact value of tan (5π/12) in simplified form.

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Answer: 5.7s

Step-by-step explanation:

We are explicitly given the final velocity of 58.8m/s, and implicitly given the acceleration of 9.8m/s^2 due to gravity. We are also implicitly given the initial velocity of the pebble. The pebble was not thrown off the cliff, it simply fell off the cliff. Therefore the initial velocity is 0m/s. Using the first kinematic equation, you get:

\(v_f=v_i+at\)

\(58.8=0+(9.8)t\)

\(58.8=9.8t\)

\(t=5.7s\)

A flow network with supplies is a directed capacitated graph where each edge has a capacity indicating the maximum flow that can pass through it. The flow in the network represents the movement of a certain resource (e.g., water, electricity, goods) from sources to sinks.

In a flow network with supplies, there may be multiple sources, which are nodes that generate the resource and have outgoing edges, and multiple sinks, which are nodes that consume the resource and have incoming edges.

The sources and sinks can have different supply or demand values, indicating the amount of resource they generate or consume.

The edges in the flow network have capacities that restrict the maximum flow that can pass through them. The capacity represents the limit on the amount of resource that can traverse the edge. The flow through an edge cannot exceed its capacity.

The objective in a flow network is to determine the maximum flow that can be sent from sources to sinks while respecting the capacities of the edges. This is typically solved using algorithms such as the Ford-Fulkerson algorithm or the Edmonds-Karp algorithm.

The concept of a flow network with supplies is important in various applications, such as transportation networks, communication networks, and supply chain management, where resources need to be efficiently distributed from multiple sources to multiple sinks, taking into account the capacity constraints of the network.

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Step-by-step explanation:

To find the angle between a line and the x-axis, we need to calculate the slope of the line first. The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Using the points (-2, 2) and (8, 9), we can substitute the values into the formula:

m = (9 - 2) / (8 - (-2))

= 7 / 10

= 0.7

The slope of the line is 0.7. The angle between the line and the x-axis can be found using the inverse tangent (arctan) function. The tangent of an angle is equal to the slope of the line, so we can write:

tan(θ) = 0.7

Taking the inverse tangent of both sides, we find:

θ = arctan(0.7)

Using a calculator, we can evaluate this to be approximately:

θ ≈ 35.87 degrees

Therefore, the angle between the line and the x-axis is approximately 35.87 degrees.

Answer: ph+2b

Step-by-step explanation:

Answer:

920 ft²

Step-by-step explanation:

2 triangles + 3 rectangles

2(½×15×8) + 20(17+8+15)

120 + 800

920

It will take 22 years and 3 months to get the present value of $12,000 invested at 2.3% compounded monthly to get to $20,000 (future value).

The period that it will take the present value to reach a certain future value can be determined using an online finance calculator with the following parameters for periodic compounding.

I/Y (Interest per year) = 2.3%

PV (Present Value) = $12,000

PMT (Periodic Payment) = $0

FV (Future Value) = $20,000

Results:

N = 266.773

266.73 months = 22 years and 3 months (266.73 ÷ 12)

Total Interest = $8,000.00

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Answer:

sixteen years - twelve years - two years - eighteen years answer: 72 divide by 4.5= 16 - sixteen years

i hope this helps you

Answer:

16 years it will be for his money to double

Step-by-step explanation:

1.  The average rate of change for P between 1992 and 2000 is  -1.025.

2.  For values of t = 1996 and t = 1992, the function has a negative average rate of change, and value of rate of change will be -2.4.

3.   For values of t = 2000 and t = 1996, the function has a positive average rate of change, and value of rate of change will be 0.35.

Rate is a mathematical term which we use, When two quantities are compared and expressed as a ratio and both have different units.

1.   we need to calculate the average rate of change in 1992 & 2000

    percentage of voters in 2000 = 34.5

    percentage of voters in  1996 =  33.1

    percentage of voters in 1992  = 42.7

it is known that,

Rate of change = change in percentage/change in years

Rate of change in between 1992 &1996 is,

R₁=   (33.1 - 42.7)/(1996-1992)

R₁=    -2.4  

Rate of change in between 1996 & 2000 is,

R₂=   (34.5-33.1)/(2000-1996)

R₂=    0.35

Average rate of change = (R₁ + R₂)/2

Average rate of change = (-2.4 + 0.35)/2

Average rate of change =  -1.025

2. One of the pair of values of t  for which rate of change will be negative are 1996 & 1992,

R=   (33.1 - 42.7)/(1996-1992)

R=   -2.4  

3. One of the pair of values of t  for which rate of change will be positive are 1996 & 2000,

R=   (34.5-33.1)/(2000-1996)

R=   0.35

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Answer:

Evelyn's mean is 138

Step-by-step explanation:

i hope it helps :)

Answer:

what net. there is no net

Step-by-step explanation:

Answer: triangular prism

Step-by-step explanation:

Answer:

1e+39

Step-by-step explanation:

The third vertex of the second triangle can be found by using the fact that the second triangle is similar to the first. Since the sides of the second triangle are parallel to the sides of the first, the ratio of the lengths of the corresponding sides must be the same. This ratio is known as the scale factor and can be used to find the length of one side of the second triangle, which in turn can be used to find the location of the third vertex.

To find the scale factor, we can choose a side of the first triangle and a corresponding side of the second triangle, and then find the ratio of their lengths. For example, we can choose the side connecting (1,5) and (2,3) in the first triangle, and the corresponding side connecting (3,4) and (6,-2) in the second triangle. The length of the first side is √(2^2 + (-2)^2) = 2√2, and the length of the second side is √(3^2 + (-6)^2) = 3√5. Therefore, the scale factor is 3√5 / (2√2) = (3/2)√5.

Now, we can use this scale factor to find the length of another side of the second triangle, such as the side connecting (3,4) and the unknown third vertex. Let the coordinates of the third vertex be (x,y). Then, the length of this side is √[(x-3)^2 + (y-4)^2]. Using the scale factor, we have:

√[(x-3)^2 + (y-4)^2] / 2√2 = (3/2)√5

Simplifying this equation gives:

(x-3)^2 + (y-4)^2 = 45

This is the equation of a circle centred at (3,4) with a radius √45 = 3√5. The third vertex of the second triangle must lie on this circle and have sides parallel to the first triangle. One possible point on this circle is (0,1), which can be translated to the right by 3 and up by 4 to get the final answer of (3,5).

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The system defined by the impulse response h(n) = 28(n+3) + 28n + 28(n-3) can be represented as h(n) = 28δ(n+3) + 28δ(n) + 28δ(n-3), where δ(n) denotes the unit impulse function.

In terms of causality, we can determine whether the system is causal by examining the impulse response. If the impulse response h(n) is non-zero only for n ≥ 0, then the system is causal. In this case, since the impulse response h(n) is non-zero for n = -3, 0, and 3, the system is not causal.

To determine the stability of the system, we need to examine the summation of the absolute values of the impulse response. If the summation is finite, the system is stable. In this case, we can calculate the summation as ∑|h(n)| = 28 + 28 + 28 = 84, which is finite. Therefore, the system is stable.

However, since the impulse response is given in the time domain and not in a closed-form expression, it is not possible to directly determine the frequency response without further manipulation or additional information.

Given the absence of specific frequency domain information or a closed-form expression for the frequency response, it is not possible to accurately represent the module and phase of the system H(e^ω) without further calculations or additional details about the system.

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To find the expected value of the game, we need to calculate the expected value of the random variable X, which represents the image value of bills.Therefore, the expected value of the game to you is $16.50.

The probability distribution of X can be filled in as follows:

x   | $1   | $5   | $10  | $50

P(X) | 1/4  | 1/4  | 1/4  | 1/4

The probabilities are equal because each bill has an equal chance of being drawn.

To calculate the expected value, we multiply each value of X by its corresponding probability and sum them up:

E(X) = (1/4 * $1) + (1/4 * $5) + (1/4 * $10) + (1/4 * $50)

    = $0.25 + $1.25 + $2.5 + $12.5

    = $16.5

Therefore, the expected value of the game to you is $16.50.

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The probability that a randomly selected tire will have a life of at least 38,100 miles is 0.9115.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

Let, the life expectancy of a particular brand of tire is normally distributed with a mean of 30,000 and a standard deviation of 6,000 miles.

So, μ = 30000, σ = 6000, x = 38100.

Therefore,

z  = (x - μ) / σ

   = (38100 - 30000) / 6000

   = 8100 / 6000

   = 81 / 60

z  = 1.35

Now,

P(X = 38100) = P(z = 1.35) = 0.9115

Hence, the probability that a randomly selected tire will have a life of at least 38,100 miles is 0.9115.

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Answer:

174 feet below sea level

Step-by-step explanation:

y is the number of minutes so you can multiply 14 by 9

14*9 is 126

then you add 126 to -300

126 + (-300) is essentially 126 - 300 and that is -174

the submarine was at 174 feet below sea level

The circumference of the circle is 54. 64 mm. Option B

It is important to note that the formula for calculating the circumference of a circle is expressed as;

C = 2πr

Given that the parameters are;

From the information given, we have that;

Circumference = 2 × 3.14 × 8.7

Now, multiply the values, we get;

Circumference = 54. 636

Approximate to two decimal place, we get;

Circumference = 54. 64 mm

Hence, the value is 54. 64 mm

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We are given a problem where we have to conduct a survey to determine how much MPH students earn from employment during the academic year and during the summer. A university official wants to derive an SRS of n=75 from a population of 378 MPH students.

To achieve this objective, we can use the Random Number Table method to select the samples for the survey. The steps are as follows:Step 1: List the population of 378 MPH students with unique identification numbers.Step 2: Use the Random Number Table to identify n=75 samples of MPH students from the list. Assign each number in the list of 378 students a unique 2-digit number, say between 00 to 99.Step 3: Randomly select any row or column from the Random Number Table and start at the left-hand side of the table.Step 4: Using the numbers from Step 2 above, move down the column or across the row one number at a time, identifying each unique 2-digit number encountered until a sample of 75 is obtained. Record the identification number of the MPH students selected as the sample. We can derive an SRS of n=30 from the population using the same method as above. The steps are as follows:Step 1: List the population of 378 MPH students with unique identification numbers.Step 2: Use the Random Number Table to identify n=30 samples of MPH students from the list. Assign each number in the list of 378 students a unique 2-digit number, say between 00 to 99.Step 3: Randomly select any row or column from the Random Number Table and start at the left-hand side of the table.Step 4: Using the numbers from Step 2 above, move down the column or across the row one number at a time, identifying each unique 2-digit number encountered until a sample of 30 is obtained. Record the identification number of the MPH students selected as the sample.From the table below, the first three students in the sample can be identified by reading down the numbers in column 1 from the first row as follows:42, 71, 38

In conclusion, the Random Number Table method is an effective way to derive an SRS from a population for conducting a survey. By following the steps outlined, we can randomly select the samples and ensure that our sample is a true representation of the population.

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Answer:

y=8 I think this is answers

(a) Forecast: Linear regression  the next year is approx 191.6007.

(b) MSE: Mean Squared Error is approximately 249.1585.

(c) MAPE: Mean Absolute Percent Error is approximately 10.42%.

(a) (a) Forecast using linear regression:
To forecast the number of disk drives for the next year, we can use linear regression to fit a line to the given data points. The linear regression equation is of the form y = mx + b, where y represents the number of disk drives and x represents the year.

Calculating the slope (m):
m = (Σ(xy) - n(Σx)(Σy)) / (Σ(x^2) - n(Σx)^2)

Σ(xy) = (1)(140) + (2)(160) + (3)(190) + (4)(200) + (5)(210) = 2820
Σ(x) = 1 + 2 + 3 + 4 + 5 = 15
Σ(y) = 140 + 160 + 190 + 200 + 210 = 900
Σ(x^2) = (1^2) + (2^2) + (3^2) + (4^2) + (5^2) = 55

m = (2820 - 5(15)(900)) / (55 - 5(15)^2)
m = (2820 - 6750) / (55 - 1125)
m = -3930 / -1070
m ≈ 3.6729

Calculating the y-intercept (b):
b = (Σy - m(Σx)) / n
b = (900 - 3.6729(15)) / 5
b = (900 - 55.0935) / 5
b ≈ 168.1813

Using the equation y = 3.6729x + 168.1813, where x represents the year, we can predict the number of disk drives for the next year. To do so, we substitute the value of x as the next year in the equation. Let's assume the next year is represented by x = 6:

y = 3.6729(6) + 168.1813
y ≈ 191.6007

Therefore, according to the linear regression model, the predicted number of disk drives for the next year is approximately 191.6007.

(b) Calculation of Mean Squared Error (MSE):

To calculate the Mean Squared Error (MSE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.

First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.

Predicted values:

Year 1: y = 3.6729(1) + 168.1813 = 171.8542
Year 2: y = 3.6729(2) + 168.1813 = 175.5271
Year 3: y = 3.6729(3) + 168.1813 = 179.2000
Year 4: y = 3.6729(4) + 168.1813 = 182.8729
Year 5: y = 3.6729(5) + 168.1813 = 186.5458
Next, we calculate the squared difference between the predicted and actual values, and then take the average:

MSE = (Σ(y - ŷ)^2) / n

MSE = ((140 - 171.8542)^2 + (160 - 175.5271)^2 + (190 - 179.2000)^2 + (200 - 182.8729)^2 + (210 - 186.5458)^2) / 5

MSE ≈ 249.1585

The Mean Squared Error (MSE) for the linear regression model is approximately 249.1585.

This value represents the average squared difference between the predicted values and the actual values, providing a measure of the accuracy of the model.

(c) Calculation of Mean Absolute Percent Error (MAPE):

To calculate the Mean Absolute Percent Error (MAPE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.

First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.

Predicted values:

Year 1: y = 3.6729(1) + 168.1813 ≈ 171.8542
Year 2: y = 3.6729(2) + 168.1813 ≈ 175.5271
Year 3: y = 3.6729(3) + 168.1813 ≈ 179.2000
Year 4: y = 3.6729(4) + 168.1813 ≈ 182.8729
Year 5: y = 3.6729(5) + 168.1813 ≈ 186.5458

Next, we calculate the absolute percent error for each year, which is the absolute difference between the predicted and actual values divided by the actual value, multiplied by 100:

Absolute Percent Error (APE):

Year 1: |(140 - 171.8542) / 140| * 100 ≈ 18.467
Year 2: |(160 - 175.5271) / 160| * 100 ≈ 9.704
Year 3: |(190 - 179.2000) / 190| * 100 ≈ 5.684
Year 4: |(200 - 182.8729) / 200| * 100 ≈ 8.563
Year 5: |(210 - 186.5458) / 210| * 100 ≈ 11.682
Finally, we calculate the average of the absolute percent errors:

MAPE = (APE₁ + APE₂ + APE₃ + APE₄ + APE₅) / n

MAPE ≈ (18.467 + 9.704 + 5.684 + 8.563 + 11.682) / 5 ≈ 10.42

The Mean Absolute Percent Error (MAPE) for the linear regression model is approximately 10.42%.

This value represents the average percentage difference between the predicted values and the actual values, providing a measure of the relative accuracy of the model.

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Answer:

52

Step-by-step explanation:

100% - 10.3% = 89.7%

89.7% of 58 is 52

Answer:

52

Step-by-step explanation:

We know that 10.3% is equal to 0.103. We multiply \(58\cdot0.103=5.974\).

58-5.974=52.026. You can't have 0.026 of a person, so it is just 52.

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Answer:

its c

Step-by-step explanation:

just took the test edge 2020

To find two factors that multiply to -40 and add to -8, we can use a trial and error method or the factoring formula.

Using the factoring formula, which is:

(x + a) (x + b) = x^2 + (a+b)x + ab

where a and b are the factors we're trying to find, and x^2 + (a+b)x + ab is the original quadratic expression.

We know that:

- a + b = -8

- ab = -40

We can solve for a and b by substituting -8 - a for b in the second equation and solving for a:

a * (-8 - a) = -40

-8a - a^2 = -40

a^2 + 8a - 40 = 0

Using the quadratic formula or factoring, we can solve for a:

a = (-8 ± sqrt(8^2 - 4 * 1 * (-40))) / (2 * 1)

a = (-8 ± sqrt(256)) / 2

a = (-8 ± 16) / 2

a = -4 or a = -10

If we substitute these values for a in the equation a + b = -8, we get:

-4 + b = -8 or -10 + b = -8

b = -8 + 4 or b = -8 + 10

b = -4 or b = 2

Therefore, the two factors that make up -40 and add to -8 are -4 and 10 (or 2 and -10).

Answer: b)

Please give brainliest thx

Answer:

y=n-3^2 is linear

Step-by-step explanation:

A linear equation is an equation between two variables that give a straight line with plotted on a graph.

The two variables used are "n" and "3^2"

When graphed, it forms a diagonal, straight line.

The equation tells us that the time spent preparing for class is a linear function of the number of students in the class.

The equation that represents the amount of time Professor Z spends preparing for a class is given as:b = a + 0.05xa is the number of students in the class, and b is the amount of time Professor Z spends preparing for the class.

The given equation gives us several pieces of information, as mentioned below:

i. Increasing the number of students by 1 will increase the time spent preparing for class by 0.05 hours.

ii. The time spent preparing for class increases by 0.05 hours for each additional student.

iii. Increasing the number of students by 5% will increase the time spent preparing for class by 5% x 0.05 = 0.0025 hours.

iv. The time spent preparing for class increases by 2 hours for each additional student. When the time spent preparing for the class is 2 hours, Professor Z prepared 0.05 hours for each additional student.

Therefore, the equation tells us that the time spent preparing for class is a linear function of the number of students in the class.

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