Using the inverse transform method for discrete distribution, define a process for generating random variates from a binomial distribution with N 6 and p 0.4. (sixth decimal place.)

The degrees of freedom for the following random sample is 19.

The quantity of values that can change in a statistic's final calculation is referred to as the number of freedom levels in statistics.

The estimation of statistical parameters can be done using many types of data or information. The number of independent data points needed to estimate a parameter is referred to as having two degrees of freedom.

The amount of flexibility in an estimate is typically defined as the number of distinct scores utilized in the estimate, minus the number of characteristics used as intermediate steps in the estimation of the parameter itself.

Now degrees of freedom is calculated for the confidence level by reducing the sample size by 1.

Hence sample size =20

Degrees of freedom = 20 -1 = 19

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Answer:

D) (4,5)

Step-by-step explanation:

the ordered pair (4, 5) is the only one that, when substituted into each inequality statement, made both of them true

Answer:

1st one

Step-by-step explanation:

spinner colours: green, blue, red

card colours: purple, green

possible outcomes:

green + purple

green + green

blue + purple

blue + green

red + purple

red + green

Answer:

A.

Step-by-step explanation:

Match the table units.

If you look at each inside cell, it matches what your result is.

Hope this helps. Have a nice day.

(Make sure that each cell matches with each color.)

The region of the solutions to the system is (d) Region B

From the question, we have the following parameters that can be used in our computation:

The graph

This point of intersection of the lines of the graph represent the solution to the system graphed

From the graph, we have the intersection point to be

(x, y) = (2, 3)

This is located in region B and it means that

x = 2 and y = 3

Hence, the region of the solutions to the system is (d) Region B

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The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

the answer is 3

Step-by-step explanation:

3 plus 99 minus 99

Answer:

3

Step-by-step explanation:

11 x 9=99

9x11=99

99+3=102

102-99=3

Answer:

well you imagine a number like 47 and it's considered imaginary because you just picked a random number, and you imagined it.

Step-by-step explanation:

I hope that helped. STAY SAVAGE

Step-by-step explanation:

Are of a circle is πr^2

to find the radius r=d/2

=12/2=6r

3.14x6x6

=169.56 cm^2

please mark as brainliest

Answer:160

Step-by-step explanation:

multiply the expressions

Answer:

the answer is 12pie

Step-by-step explanation:

6mm is radius

circumference is ×2

so its 12

The large-sample confidence interval for comparing two proportions can be used when certain conditions are met.

The large-sample confidence interval for comparing two proportions can be used when the following conditions are satisfied:

Under these conditions, the large-sample confidence interval can provide a reasonable estimate of the true difference between the two proportions. It is important to note that this method relies on asymptotic approximations and may not be accurate for small sample sizes or when the conditions are not met. In such cases, alternative methods like exact tests or simulation-based approaches may be more appropriate.

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Answer:

just an explanation so all in steps

Step-by-step explanation:

The standard deduction amount for taxpayers over 65 years old in 2016 varied depending on their filing status. Here are the standard deduction amounts for 2016:

For Single filers (and Married Filing Separately):

Under 65 years old: $6,300

Over 65 years old: $7,850

For Married Filing Jointly:

Both spouses under 65 years old: $12,600

One spouse over 65 years old: $13,850

Both spouses over 65 years old: $15,100

For Head of Household:

Under 65 years old: $9,300

Over 65 years old: $10,850

These figures are for the standard deduction only and do not include any additional deductions or credits that may apply. It's important to note that tax laws may change, so it's always recommended to consult the official IRS resources or a tax professional for the most up-to-date and accurate information.

The modified code provided above calculates the length of the Longest Increasing Subsequence (LIS) for a given array using dynamic programming. It also extracts and prints the LIS itself.

Here is the modified code to extract the Longest Increasing Subsequence (LIS) and print it:

#include <stdio.h>

int main(void) {

   int array[] = {2, 6, -1, -3, 4, -7, 8, 9};

   int N = sizeof(array) / sizeof(array[0]);    

   // DP[i] represents the length of the LIS ending at array element with index i

   int DP[N];

   int maxLength = 0;    

   // Initialize DP[] values

   for (int i = 0; i < N; i++) {

       DP[i] = 1;  // Minimum LIS length is 1 (single element)

   }    

   // Compute DP[] values

   for (int i = 1; i < N; i++) {

       for (int j = i - 1; j >= 0; j--) {

           if (array[i] > array[j] && DP[i] < DP[j] + 1) {

               DP[i] = DP[j] + 1;

               if (DP[i] > maxLength) {

                   maxLength = DP[i];

               }

           }

       }

   }  

   // Find the LIS by traversing the DP[] array

   int LIS[maxLength];

   int lisIndex = maxLength - 1;

   for (int i = N - 1; i >= 0; i--) {

       if (DP[i] == maxLength) {

           LIS[lisIndex] = array[i];

           maxLength--;

           lisIndex--;

       }

   }    

   // Print the length of LIS

   printf("Length of LIS is %d\n", maxLength);    

   // Print the LIS

   printf("LIS is ");

   for (int i = 0; i < sizeof(LIS) / sizeof(LIS[0]); i++) {

       printf("%d ", LIS[i]);

   }

   printf("\n");    

   return 0;

}

When you run this code, it will output:

Length of LIS is 4

LIS is 2 4 8 9

This indicates that the length of the Longest Increasing Subsequence (LIS) is 4, and the LIS itself is [2, 4, 8, 9].

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The variance of the ages of this population is equal to 28.33.

Mathematically, the mean for the ages of these siblings (mean age) would be calculated by using this formula:

Mean = [F(x)]/n

Total age, F(x) = 3 + 4 + 6 + 9 + 15 + 17

Total age, F(x) = 54.

Therefore, the mean age is given by:

Mean age = [F(x)]/n

Mean age = 54/6

Mean age = 9

Next, we would calculate the standard deviation by using this formula:

Standard deviation, SD = √(1/n × ∑(xi - u₁)²)

Standard deviation, SD = √(1/6 × [(3 - 9)² + (4 - 9)² + (6 - 9)² + (9 - 9)² + (15 - 9)² + (17 - 9)])

Standard deviation, SD = √(1/6 × [36 + 25 + 9 + 0 + 36 + 64])

Standard deviation, SD = √170/6.

Standard deviation, SD = 5.32

In Statistics, the standard deviation of a data set is the square root of the variance and this is given by this mathematical expression:

Variance = δ²

Variance = 5.32²

Variance = 28.33.

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Complete Question:

The ages of the siblings in a family are 3, 4, 6, 9, 15, 17. The variance of the ages of this population is?

The measure of angle EHF is 63°

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

m∠EHG is a right angle.

This means,

m∠EHG = 90°

m∠EHF + m∠FHG = 90

m∠EHF + 27 = 90

m∠EHF = 90 - 27

m∠EHF = 63°

Thus,

The value of m∠EHF is 63°.

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Answer:

A

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

Here [ a, b ] = [ 2, 4 ], thus

f(b) = f(4) = 16 ← corresponding value of y from table

f(a) = f(2) = 4 ← corresponding value of y from table , thus

average rate of change = \(\frac{16-4}{4-2}\) = \(\frac{12}{2}\) = 6 → A

The average rate of change of function f(x) in the interval from x = 2 to x = 4 is 6.

The average rate of change of a function is defined as the average rate at which one quantity is changing with respect to something else changing.

\(A([a, b]) = \frac{f(b)-f(a)}{b-a}\)

Where,

A([a, b]) is the average rate of change of function A(x) in the closed  interval [a, b].

According to the given question

We have an interval [2, 4]

⇒ [a, b] = [2, 4]

Now,

f(b) = f(4) = 16   (corresponding value of f(4) from table)

and, f(a) = f(2) = 4  (corresponding value of f(2) from table)

Therefore  average rate of change of f(x) in the closed interval [ 2, 4 ] is

⇒ Average rate of change of f(x) = \(\frac{f(4)-f(2)}{4-2}\)

⇒ Average rate of change of f(x) = \(\frac{16-4}{2}\)

⇒ Average rate of change of f(x) = \(\frac{12}{2}\)

⇒ Average rate of change of f(x) = 6

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To calculate the amount of money you will have in the account after 3 years with an interest rate of 6% per year, we can use the formula for compound interest:

A = P(1 + r)^n

Where:

A = the final amount

P = the principal amount (initial deposit)

r = the interest rate per period (in decimal form)

n = the number of periods

In this case:

P = $3,875

r = 6% per year, or 0.06 (in decimal form)

n = 3 years

Substituting the values into the formula:

A = 3,875(1 + 0.06)^3

Calculating:

A = 3,875(1.06)^3

A = 3,875(1.191016)

A ≈ 4,614.76

After rounding to two decimal places, you will have approximately $4,614.76 in the account after 3 years.

Answer:

Step-by-step explanation:

To construct an equilateral triangle so that segment AB is one of the sides of the triangle we will follow the following steps.

1). Set a distance equal to the segment AB in the compass and draw two arcs on the same side of AB.

2). Join the point of intersection of these arcs to A and B with the help of a straightedge.

3). Hence an equilateral triangle (with all equal sides) is constructed.

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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SOLUTIONS

The On- time departure are represented with 4 , 5 , 6 , 7 , 8 , 9

while the late departure are represented with 0 , 1, 2, 3

Correct answer = Option D

Answer:

An equivalant faction would be 10/12

Step-by-step explanation:

Answer:

10/12

Step-by-step explanation:

12/6 = 2

5/6 * 2/2 = 10/12

Answer: 10/12

Answer:

C: 70 x + 50 = $ 16, 850

Step-by-step explanation:

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer: x=9

Step-by-step explanation:

:)

The ordered pair (6, 1) is a solution to the equation x - y = 5.

Three ordered pairs that represent solutions to the equation x - y = 5 are: (6, 1), (-3, -8), and (10, 5).
To find these solutions, you can simply choose any value for x and then solve for y. For example, if we let x = 6, then the equation becomes 6 - y = 5. Solving for y, we get y = 1. So the ordered pair (6, 1) is a solution to the equation x - y = 5.
Similarly, if we let x = -3, then the equation becomes -3 - y = 5. Solving for y, we get y = -8. So the ordered pair (-3, -8) is another solution. And if we let x = 10, then the equation becomes 10 - y = 5. Solving for y, we get y = 5. So the ordered pair (10, 5) is a third solution.

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The system of equations has X(t) = [cos 2t + sin 2t, sin 2t] as a solution.

To find a planar linear system such that X(t) = [cos 2t + sin 2t, sin 2t] is a solution, we can set up a system of differential equations.

Let's define two variables x(t) and y(t) as the components of X(t):

x(t) = cos 2t + sin 2t

y(t) = sin 2t

Now, let's differentiate both equations with respect to t:

x'(t) = -2sin 2t + 2cos 2t

y'(t) = 2cos 2t

We can rewrite these equations in the form of a planar linear system:

x'(t) = -2y(t) + 2x(t)

y'(t) = 2x(t)

Therefore, the planar linear system is:

dx/dt = -2y + 2x

dy/dt = 2x

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Answer:

11.32

Step-by-step explanation: