Simplify.
Remove all perfect squares from inside the square root.

Answer:

4 or -4

plz brainlist if right

Step-by-step explanation:

The probability distribution of Nt is defined as \(P(Nt = n) = (Atn/n!) e^(-At)\). Let Tn denote the time of the nth arrival.\(E(N11 | N3 = 7)\).

So, \(P(N3 = 7) = [(A3)^7/7!]e^(-A3)\).

Now, let’s find \(P(N11 = k, N3 = 7) = P(N3 = 7) x P(N11 = k | N3 = 7)\).

Then, we will use the equation \(E(N11 | N3 = 7) = ∑ k=0^7 k P(N11 = k | N3 = 7) / P(N3 = 7). P(N11 = k, N3 = 7) = (A^k t(3) e^(-At(3))) / k! * [(A^(7-k) t(8-3) e^(-A(t(8)-t(3)))) / (7-k)!]\)On simplifying, we will get \(P(N11 = k, N3 = 7) = (A^7 t(8) e^(-A(t(8)))) / (7-k)!E(T19 | N3 = 7)\)

We need to find \(E(T19 | N3 = 7)\). As per the properties of Poisson distribution, the time between two arrivals follows an exponential distribution.

Now, we can write T19 as the sum of 16 exponentially distributed random variables.

Thus, \(E(T19 | N3 = 7) = E(T(3) | N3 = 7) + E(T(4) | N3 = 7) + ... + E(T(18) | N3 = 7) + E(T(19) | N3 = 7)\)\(P(N₁ = 5 | N3 = 7)\):

We need to find \(P(N1 = 5 | N3 = 7)\),

which can be calculated as: \(P(N1 = 5, N3 = 7) / P(N3 = 7).Now, P(N3 = 7) = (A^3/3!) * e^(-A) * (A^4/4!) * e^(-3A) * (A^0/0!) * e^(-5A)\)Then, we need to calculate\(P(N1 = 5, N3 = 7)\). It can be calculated as: \((A^5/5!) * e^(-A) * (A^2/2!) * e^(-2A)\).

\(P(N1 = 5 | N3 = 7) = (A^5/5!) * e^(-A) * (A^2/2!) * e^(-2A) / [(A^3/3!) * e^(-A) * (A^4/4!) * e^(-3A) * (A^0/0!) * e^(-5A)].\)

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Answer: C

Step-by-step explanation: I chose this answer because in 8th graders, their mean is 6 and their range is 9, that’s a difference of 3. But in 4th graders, their mean is 5 and their range is 6, so there isn’t much of a difference for 4th graders. The answer couldn’t be A, B, or D so I came to the conclusion that it’s C. (Sorry if this explanation doesn’t make sense but I hope I got the right answer.)

The true statement is  the word length varies more in the 8th grade book than the 4th grade book.

Mean is a measure of central tendency. It is the average of a set of values. For example, if the numbers in a data set are 3,2,10, the mean is (3 + 2 + 10) /3 = 5

Range is the highest number less the least number in a data set. For example, if the numbers in a data set are 3,2,10, the range is 10 - 2 = 7

The mean word length for the fourth grade book is 5. While, the mean word length for the eighth grade book is 6. This means that on average, the average word length of the eighth grade book is greater than the mean word length for the fourth grade book

The range word length for the fourth grade book is 6. While, the range word length for the eighth grade book is 9. These means that either the longest word in the eighth grade book is more than that of the fourth grade book or that the smallest word in the eighth grade book is less than than that in the fourth grade book. This means that the  word length varies more in the 8th grade book than the 4th grade book.

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The sample size increases, the probability of obtaining a sample mean less than 3500 decreases. The mean of the sample mean distribution is equal to the population mean, which is 7500.

a) The probability that, on a single test, x is less than 3500 can be calculated using the standard normal distribution. We need to standardize the value using the z-score formula: z = (x - μ) / σ. Substituting the given values, we get z = (3500 - 7500) / 1750 ≈ -2.286.

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of -2.286. The probability is approximately 0.0116, or 1.16%. Therefore, there is a 1.16% chance that a single test result will be less than 3500, indicating leukopenia.

(b) When the doctor uses the average x (sample mean) for two tests taken about a week apart, the probability distribution of x (sample mean) follows a normal distribution. The mean of the sample mean distribution is equal to the population mean, which is 7500. The standard deviation of the sample mean distribution is equal to the population standard deviation divided by the square root of the sample size. In this case, the sample size is 2.

The probability distribution of x (sample mean) < 3500 can be calculated by standardizing the value using the z-score formula and then finding the corresponding probability from the standard normal distribution table or a calculator. With two tests, the probability distribution will be narrower compared to a single test. The exact probability depends on the specific value of the sample mean and the standard deviation of the sample mean distribution.

(c) When considering three tests taken a week apart, the process is similar to part (b). The mean of the sample mean distribution remains the same at 7500, but the standard deviation of the sample mean distribution is now divided by the square root of 3, since the sample size is 3. As the sample size increases, the standard deviation of the sample mean distribution decreases, resulting in a narrower distribution.

The probability distribution of x (sample mean) < 3500 can be calculated using the z-score formula and finding the corresponding probability from the standard normal distribution table or a calculator. With three tests, the probability distribution will be even narrower compared to two tests.

In summary, as the sample size increases, the probability of obtaining a sample mean less than 3500 decreases. With more tests, we can have greater confidence in the accuracy of the sample mean and draw stronger conclusions about the individual's condition. If a person had a sample mean less than 3500 based on three tests, it would indicate a higher level of certainty about the presence of leukopenia, potentially leading to further investigation or treatment options.

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Answer:

Dats wEiRd-

Uhm chile anyway so-

hwhebsjs be uywje bdhs

Answer:

x=7

Step-by-step explanation:

If BD is the bisector, then  ABD = DBC

3x-1 = 34-2x

Add 2x to each side

3x-1+2x = 34-2x+2x

5x-1 =34

Add 1 to each side

5x-1+1 = 34+1

5x= 35

Divide by 5

5x/5 = 35/5

x = 7

When solving a problem involving fractions, it's important to understand the meaning of the numerator and denominator. The numerator represents the part of the whole that we are interested in, while the denominator represents the total number of equal parts that the whole is divided into.

Let's say we have a fraction 2/5. The denominator 5 indicates that the whole is divided into 5 equal parts, while the numerator 2 indicates that we are interested in 2 of those parts.

Therefore, the fraction 2/5 represents the ratio of 2 out of 5 equal parts of the whole.To answer a question involving fractions with a denominator of 200, you need to know that the whole is divided into 200 equal parts.

Then you can use the numerator to represent the specific part of the whole that is being referred to in the question.For example, let's say a question asks what is 1/4 of the whole when the denominator is 200.

We know that the whole is divided into 200 equal parts, so we can set up a proportion:1/4 = x/200To solve for x, we can cross-multiply:

4x = 1 x 2004x = 200x = 50

Therefore, 1/4 of the whole when the denominator is 200 is 50. In this way, you can approach any question involving fractions with a denominator of 200 or any other number by understanding the meaning of the numerator and denominator and setting up a proportion.

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The LS estimator of βˆ0 in a simple linear regression model is equal to the sample mean of the dependent variable, while the LS estimator of βˆ1 is equal to the sample covariance between x and y divided by the sample variance of x.

1. LS estimator of βˆ0:

In a simple linear regression model, the equation is y = β0 + ε, where y represents the dependent variable, β0 is the intercept, and ε is the error term. The LS estimator of βˆ0 is obtained by minimizing the sum of squared residuals (SSR). The SSR is defined as the sum of the squared differences between the observed values of y and the predicted values of y based on the model.

When we minimize the SSR, we differentiate it with respect to β0 and set the derivative equal to zero. This leads to the condition that the LS estimator of βˆ0 is equal to the value of β0 that minimizes the SSR. The value of β0 that minimizes the SSR is the one that makes the sum of the residuals equal to zero.

Since the residuals represent the differences between the observed values of y and the predicted values of y, the sum of the residuals can be interpreted as the sum of the deviations of the observed values from the predicted values. When the sum of the residuals is zero, it implies that the sum of the deviations is also zero.

Therefore, the LS estimator of βˆ0 is equal to the sample mean of the dependent variable, as the sample mean represents the average value of the dependent variable and minimizes the deviations from the predicted values.

2. LS estimator of βˆ1:

In a simple linear regression model, the equation is y = β0 + β1x + ε, where y represents the dependent variable, x represents the independent variable, β0 is the intercept, β1 is the slope, and ε is the error term. The LS estimator of βˆ1 is obtained by minimizing the SSR, similar to the LS estimator of βˆ0.

To derive the LS estimator of βˆ1, we differentiate the SSR with respect to β1 and set the derivative equal to zero. This leads to the condition that the LS estimator of βˆ1 is equal to the value of β1 that minimizes the SSR. The value of β1 that minimizes the SSR is the one that makes the sum of the products of the residuals and the corresponding values of x equal to zero.

The product of the residuals and the values of x represents the covariance between x and y, as it measures the joint variability between the two variables. The sum of these products being zero implies that the covariance between x and y is zero.

The sample covariance between x and y divided by the sample variance of x is an unbiased estimator of the population slope β1. Hence, the LS estimator of βˆ1 is given by the sample covariance between x and y divided by the sample variance of x.

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Answer:

50288419716939937510.... and so on.

Pi is a never ending number, so it goes on and on forever.

Step-by-step explanation:

Hope it helps! =D

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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Answer:

So for the coorfinates of F, you have to see how far it is from y=1. The F is 2  points under the 1 so you have to count 2 above the 1. So the point would be (7,3). Same for the other ones. For example like D. It's 2 above 1 so its going to be 2 under which would result in (1, -1)

Answer:

Step-by-step explanation:

Perimeter = 3 + 1 + 1 + 1 + 2 + 2 = 10 cm

Area = area of rectangle 1 and area of rectangle 2

Rectangle 1:

length = 3; width = 1

Area = 3*1 = 3 cm²

Rectangle 2:

length = 2 cm ; width = 1 cm

Area = 2*1 = 2 cm²

Area =  2+ 3 = 5 cm²

Answer:

3

Step-by-step explanation:

Take any 2 points on the graph,

(2, 1) & (3, 4)

Use the slope formula:

\(\frac{y2-y1}{x2-x1}\)

= (4-1)/(3-2)

= 3/1

= 3

Hence, the slope is 3.

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Step 1: Write out the function

Step 2: Evaluate the functions at x=1,3,4 and 6

Step 3: Compute f(6)/f(4)

Step 4: Compute f(3)/f(1)

Step 5: Compare f(6)/f(4) and f(3)/f(1)

Therefore,

Answer:

w(-6) = 8

Step-by-step explanation:

w(a) = -2a – 4

Let a = -6

w(-6) = -2(-6) – 4

Multiply

      = 12 -4

Subtract

    = 8

Answer:

...

Step-by-step explanation:

w(a) = -2a - 4

w(-6) = subsitute value // -2(-6) - 4 = 12 - 4 = 8

Answer:

11.5 or 11 1/2

Step-by-step explanation:

Answer:The answer is B . 35 . Hope it helps

Step-by-step explanation:Mean: Addition of everything (314) / frequency (9)

It gives you 34.8… rounded to 35

Answer:

x = 12, -2

Step-by-step explanation:

subtract 24 from both sides then use quadratic formula

amswer:

-13 feet

step by step:

-18+5=-13

Answer:

see below

Step-by-step explanation:

Move R side to the L side to get

2y^2 -4y +3  = 0

Use quadratic formula to find y = 1 +- i sqrt (2) / 2

Answer:

5^1 in expended from is 5

hope it helps.

The equation of the given the roots x=4 x=2-i x=2+i is y = x³ - 8x² + 21x - 12

What is a root?

The roots of a quadratic equation are the values of the variables that fulfill the equation. In other words, if f(α) = 0, then x = α is a root of the quadratic equation f(x). The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of equation f(x) = 0.

Here, we have

x=4 x=2-i x=2+i

Roots are the points where the graph intercepts with the x-axis y = 0 at the roots.

The root at x = 4 was found by solving for x when x−(4) = y and y = 0

The factor is x−4

The root at x = 2-i was found by solving for x when x−(2-i) = y and y = 0.

The factor is x−2+i

The root at x = 2+i was found by solving for x when x−(2+i) = y and y = 0

The factor is x-2-i

Combine all the factors into a single equation.

y = (x-4)(x-2+i)(x-2-i)

y = x³ - 8x² + 21x - 12

Hence, the equation of the given the roots x=4 x=2-i x=2+i is y = x³ - 8x² + 21x - 12

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.

Answer:

There wasn't an image put to choose which graph it would be.

Step-by-step explanation:

The output from the given line of code, WriteLine(" {0} squared is {1:N0}", total, answer), will be "564 squared is 318,096".

The "{0}" placeholder is replaced with the value of 'total' (which is 564), and the "{1:N0}" placeholder is replaced with the value of 'answer' (which is 318,096) formatted with thousands separators.

The ":N0" format specifier ensures that the number is displayed with no decimal places and with thousands separators.

Therefore, the output will be a formatted string stating "564 squared is 318,096", where the number 318,096 is displayed with a comma separator for thousands.

The concept involves using the WriteLine function in programming to display formatted output. In this specific case, the line "WriteLine(" {0} squared is {1:N0}", total, answer);" uses placeholders {0} and {1} to insert the values of 'total' and 'answer' respectively. The ":N0" format specifier is used to display 'answer' with thousand separators. As a result, the output will display the message "564 squared is 318,096.00" with the appropriate values and formatting.

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Answer:

False.

Step-by-step explanation:

The RMS (Root Mean Square) value of a sine wave represents the equivalent DC voltage that would produce the same amount of power in a resistive load. However, the heat produced in a resistor is directly proportional to the square of the current passing through it (according to Joule's Law). In the case of an AC waveform, the current continuously changes direction, resulting in a time-varying power dissipation. Therefore, comparing the RMS value of an AC waveform to a DC voltage is not directly applicable in terms of heat produced in a resistor.

Therefore , the solution of the given problem of trigonometry comes out to be  the distance between the two aircraft is roughly 84.2 miles.

Relationships between trigonometry and cubic splines The discipline is believed to have been created from around third century B.C., when the fields of astronomy and mathematics were combined. Numerous geometric equations can be solved or the results of calculations involving them can be determined using precise mathematical methods. Trigonometry is the science of the six basic trigonometric functions.

Here,

which is equal to the length of the adjacent side of the right triangle formed by the tower, the second aircraft, and a vertical line joining the second aircraft to the ground, we must first determine the distance between the first aircraft and the tower.

Trigonometry enables us to determine the following distance:

=> 50 * cos(28°) = 43.37 miles

The length of the hypotenuse of the right triangle made by the two aeroplanes and the tower will tell us how far apart the two aeroplanes are from one another.

The Pythagorean theory gives us:

=> √(71^2 + 43.37^2) ≈ 84.2 miles

As a result, the distance between the two aircraft is roughly 84.2 miles.

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Reason: The line goes downhill when moving to the right, and when we're between x = -1 and x = 1. You can think of it like a roller coaster.

Answer:

Miss Meod lost $88 from Adams' first week of services.

Step-by-step explanation:

Assuming the first sentence stand

As Adams received $125 of wages the break-point is at $250 dollars

which is double of Adams' wage. Below this point the employe cannot realize a gain.

The services performed were $162  we subtract the break even point:

162 - 250 = -88

Durign the first week Miss Adams services generate a variable loss for $88