let (x1, y1), . . . ,(xn, yn), be a random sample from a bivariate normal distribution with parameters µ1, µ2, σ2 1 , σ2 2 , rho. (note: (x1, y1), . . . ,(xn, yn) are independent). what is the joint distribution of (x, ¯ y¯ )? hint: find the joint moment generating function of (x, ¯ y¯ ) and compare it to the joint moment generating function of multivariate normal distribution.

Everything except for a

Answer:

b

c

d

e

Step-by-step explanation:

have a good day

Answer:

420

Step-by-step explanation:

maybe I don't know sorry

Answer:

answer is 420

step by step explanation

mark reads 36 pages an hour

c: y = 36x

please give brainliest

A mathematical description of hexagon is given above.

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

The bounded plane region, the bounding circuit, or the two together, may be called a polygon.

The segments of a polygonal circuit are called its edges or sides.

Given is hexagon.

In geometry, a hexagon is a six-sided polygon creating the outline of a cube. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.

A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).

Therefore, a mathematical description of hexagon is given above.

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Answer: m^3

Step-by-step explanation:

Taking the square root of something is the same as raising it to the half power the square root of 4 is equal to 4^(1/2). This hold true with any root, not just square root. M^(3b) to the b root is equal to m^(3b x (1/b)). Ignore the base (m) for a second and the exponents make 3b x (1/b) which equals (3b/b). The b on the top and bottom cancel and you’re left with a 3. The answer is m^3

Answer:

Step-by-step explanation:

Year >> Starting balance >>         prt            >>         Interest                      

1                    4200         4200*1.045 = 4389          4389 - 4200 = 189

2                   4389         4200*1.045² = 4586.51    4586.51 - 4200 = 386.51      

3                   4586.51     4200*1.045³ = 4792.90   4792.90 - 4200 = 592.90

4                   4792.90    4200*1.045⁴ = 5008.58   5008.58 - 4200 = 808.58

5                   5008.58    4200*1.045⁵ = 5233.96   5233.96 - 4200 = 1033.96  

6                   5233.96    4200*1.045⁶ = 5469.49   5469.49 - 4200 = 1269.49

Answer:

x = 45 degrees

Step-by-step explanation:

Using the alternate exterior angle theorem, the angles are equal. You can set the expressions equal to each other:

3x = x + 90
2x = 90
x = 45

The amount to be paid is more on credit card 2 is more, it must be paid first.

Card 1:

Current balance = $8,312.69

Annual percentage rate APR = 24.16%

Credit limit = $10,000.

Used amount = $10,000 - $8,312.69

Used amount = 1687.31

A = P\((1 + r/n)^{nt}\)

P = $1687.31

r = 24.16% = 0.2416

Take n = 1 and time = 1 year.

A =  1687.31*\((1 + 0.2416/n)^{1*1}\)

A = 1687.31 * 1.2416

A = $2094.96

For Card 2:

Current balance = $1,180.34

APR = 21.15%

Credit limit = $75,00

Used amount = $75,00 - $1,180.34

Used amount = $6319.66

A = 6319.66*\((1 + 0.2115/n)^{1*1}\)

A = 6319.66 * 1.2115

A = $7656.26

As the amount to be paid is more on credit card 2 is more, it must be paid first.

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Answer:

B and E

Step-by-step explanation:

If you look closely and compare the two, you could tell which angles are the same.

Answer: 13

Step-by-step explanation:

2k = 26

k= 26/2

13

Answer: 484 in^3

Step-by-step explanation:

The volume equation of a rectangular prism is length x width x height. You will plug in the 4, 11, and 11 inches into your calculator, multiplying all the values to end up with the answer. For the units, it will be in^3, as that is cubic inches.

Answer:

$10,006.52

Step-by-step explanation:

According to the question:

Principal (P) = $7000

Rate of interest (r) = 18%

Period of compounding (n) = 12.

Time (t) = 2 years.

We now that formula for future value is:

FV=P(1+r/n)^nt

Substitute the value in the above formula

FV=7000(1+0.18/12)^12*2

= $10,006.52

Answer:

P = 12 pi units + 24 units.

Step-by-step explanation:

All sides of an equilateral triangle are of the same length.  Here that length is 12 units.  We take a circle of diameter 12 units and cut it in half through its center.  Finally, we join the triangle (remembering that all of the side lengths are 12 units) to the half circle of diameter 12 units.

The half circle portion of the resulting shape has circumference 2(pi)(12 units) divided by 2, or 12 pi units.  This is half the formula C = 2(pi)(r).  The two non-attached sides of the triangle have a total length of 24 units.

Thus, the perimeter of the resulting figure is P = 12 pi units + 24 units.

The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.

To find the steady-state solution of the heat conduction equation, follow these steps:

1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:

  q = -k * A * dT/dx,

  where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.

2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.

3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:

  q = -k * A * dT/dx = 0.

4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.

5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.

It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.

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Answer:

23.4 km

Step-by-step explanation:

We can use a ratio to solve

13 km         x km

--------   = ---------------

5 hours         9 hours

Using cross products

13*9 = 5x

117 = 5x

Divide each side by 5

117/5 = 5x/5

23.4 =x

Answer:

It travel 23.4 km in 9 hours.

Step-by-step explanation:

Given :-

A sea turtle can swim 13 km in 5 hours at this rate speed .

To find :-

How far can it travel in 9 hours.

Solution :-

Sea turtle swim 13 km in 5 hours Then find the how far it can travel in 9 hours.

Let us assume that In 9 hours turtle swim x km.

Now, We solve by using ratio for x.

In 5 hours it swim = 13 km

And, In 9 hours it swim = x km

Calculate for x

5 hours = 13 km

9 hours = x km

Use cross multiplication method , we get

5 × x = 9 × 13

5x = 117

Divide both side by 5

5x / 5 = 117 / 5

x = 23.4

Hence, It can travel 23.4 km in 9 hours.

The function f(x) = 2 - (e⁻ˣ / x) has a horizontal asymptote at y = 2 and no vertical asymptote.

Function f(x) = 2 - (e⁻ˣ / x)

To determine if the function f(x) = 2 - (e⁻ˣ / x) has any horizontal or vertical asymptotes,

Analyze the behavior of the function as x approaches positive or negative infinity.

First, let's consider the horizontal asymptote.

To find the horizontal asymptote, evaluate the limit of f(x) as x approaches positive or negative infinity,

\(\lim_{x \to \infty}\) f(x) = \(\lim_{x \to \infty}\) [2 - (e⁻ˣ / x)]

As x approaches positive infinity, the exponential term e⁻ˣ becomes very small, approaching zero.

Additionally, the denominator x approaches infinity as well. This implies that the fraction e⁻ˣ / x tends to zero.

\(\lim_{x \to \infty}\) [2 - (e⁻ˣ / x)]

= 2 - 0

= 2

Similarly, as x approaches negative infinity, e⁻ˣ approaches zero and x approaches negative infinity, so the fraction e⁻ˣ / x tends to zero.

\(\lim_{x \to \infty}\) [2 - (e⁻ˣ / x)]

= 2 - 0

= 2

The function f(x) has a horizontal asymptote at y = 2.

Next, let's consider the vertical asymptote.

To find the vertical asymptote,

Analyze the behavior of the function as x approaches a particular value.

Here, examine what happens as x approaches zero, since the denominator x becomes zero.

\(\lim_{x \to0}\) f(x) =\(\lim_{x \to0}\) [2 - (e⁻ˣ / x)]

As x approaches zero, we encounter an indeterminate form of 0/0.

To further analyze this, use L'Hopital's rule by taking the derivative of the numerator and denominator with respect to x,

\(\lim_{x \to0}\) [2 - (e⁻ˣ / x)]

= \(\lim_{x \to0}\) [0 - (-e⁻ˣ / 1)]

=\(\lim_{x \to0}\) e⁻ˣ = 1

As x approaches zero, the function f(x) approaches 1.

The horizontal asymptote is determined by the behavior of the function as x approaches positive or negative infinity,

while the lack of a vertical asymptote is due to the function approaching a finite value (1) as x approaches zero.

Therefore, the given function has a horizontal asymptote at y = 2 but no vertical asymptote.

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The above question is incomplete, the complete question is:

f(x) = 2 - (e⁻ˣ / x)

Does f(x) have any horizontal or vertical asymptotes? what are they?. use limit calculations to justify your answer.

The ending values in vector `x` after executing the given code snippet would be `7 3 0 8 8`.

The given code snippet appears to be incorrect and incomplete. There are a few issues:

1. The loop condition is not properly defined. Instead of `i < x.size() - 1`, it should be `i < x.size() - 1` to ensure that `i` does not exceed the valid index range of the vector `x`.

2. The increment expression `i` is missing in the loop statement, causing an infinite loop since `i` never changes.

Assuming the correct loop condition is `i < x.size() - 1` and the missing increment expression is `i++`, let's correct the code:

cpp

#include <iostream>

#include <vector>

int main() {

   std::vector<int> x = {4, 7, 3, 0, 8};

   int i;

   for (i = 0; i < x.size() - 1; i++) {

       x.at(i) = x.at(i + 1);

   }

   // Printing the modified vector x

   for (int element : x) {

       std::cout << element << " ";

   }

   std::cout << std::endl;

  return 0;

}

Now, running this corrected code will give the following output:

7 3 0 8 8

After executing the loop, the vector `x` will have the ending values `7, 3, 0, 8, 8`. The last element `x.at(4)` is assigned the value of `x.at(4 + 1)`, which is `8`.

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\(\left(\sqrt[3]{- \dfrac 18} \right)^3+3\dfrac3 4\\\\\\=\left[\left(-\dfrac 18 \right)^{\tfrac 13}\right]^3+ \dfrac{12+3}4\\\\\\=\left(-\dfrac 18 \right)^{\tfrac 33\right)+ \dfrac{15}4\\\\\\=\dfrac{15}{4}- \dfrac 18\\\\\\\\=\dfrac{30-1}{8}\\\\\\=\dfrac{29}8\\\\\\=3\dfrac 58 \\\\\\= 3.625\)

Answer:

29/8

Step-by-step explanation:

Answer:

3rd graph

Step-by-step explanation:

Answer:

The third one

Step-by-step explanation:

Answer:

$0.22.

Step-by-step explanation:

To find the cost per ounce of juice, divide the total cost of 32 ounces of juice by the number of ounces:

7.04 ÷ 32 ounces = 0.22 per ounce

So, the cost per ounce of juice is approximately $0.22.

Answer:

0.22

Step-by-step explanation:

Answer:

y = -3/4x + 3

Step-by-step explanation:

6 = -3/4(-4) + b

3 = b

Answer:

No Solutions

Step-by-step explanation:

The error involved in approximating the sum of the given series by the sum of the first five terms of the series is `R5 = 1/6³ + 1/7³ + ...`.

To estimate the error that is made by approximating the sum of the given series by the series the first 5 terms 1/k³, we can use the remainder term of a convergent series.

The given series is ∑ 1/k³ from k = 1 to infinity.We have to find the error involved in approximating the sum of the given series by the sum of the first five terms of the series.

That is, we need to find the difference between the actual sum of the series and the sum of the first five terms of the series.

The sum of the series is given by: `S = 1/1³ + 1/2³ + 1/3³ + 1/4³ + ... + 1/n³ + ...` We can use the remainder term of the series to find the error in approximation.

The remainder term `Rn` is given by: `Rn = Sn - S` where `Sn` is the sum of the first `n` terms of the series. Thus, we have to find the remainder term for `n = 5`.

The remainder term `Rn` is given by: `Rn = S - Sn = 1/6³ + 1/7³ + ...` Since the given series is convergent, the remainder term `Rn` tends to zero as `n` tends to infinity.

So, if we take the sum of the first five terms of the series, the error involved in approximation is given by the remainder term `R5`.

The error involved in this approximation is very small and can be neglected.

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Quantities x and y are in a proportional relationship. complete the table is given below:-

X Y

4 16

3 12

2 8

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

In the given table the data is;-

X Y

4 16

3 ?

? 8

Y = 4x

Y = 4 x 3 = 12

Y = 4x

x = ( 8 / 4) = 2

Therefore, the values of the missing numbers in the table will be 12 and 2.

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Answer:

10-6x

Step-by-step explanation:

Distribute the 2 into the parentheses.

2(5)-2(3x)

10-6x

Hey there!

2(5 - 3x)

DISTRIBUTE 2 WITHIN the PARENTHESES

= 2(5) + 2(-3x)

= 10 - 6x

= -6x + 10

Therefore, your answer is: -6x + 10

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

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Answer:

i dont know because you didnt give number but is one -17 is so its that

Step-by-step explanation:

Convenience sampling is likely to get the largest number of subjects in the shortest period of time, as it involves selecting individuals who are readily available and willing to participate.

Option b. Convenience sampling is correct.

However, it may not necessarily provide a representative sample and may introduce bias into the results.

Random sampling, on the other hand, is the most reliable method of obtaining a representative sample, but may take longer to recruit participants.

Cluster sampling and network or snowball sampling can also be effective methods for obtaining a large sample, depending on the research question and available resources.

Convenience sampling is correct.

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Answer:

Al evento entraron 82 adultos y 18 menores de edad.

Step-by-step explanation:

De acuerdo a la información proporcionada, puedes plantear las siguientes ecuaciones:

x+y=100 (1)

90x+45y=8190 (2), donde:

x es el número de adultos

y es el número de menores de edad

Puedes despejar x en (1):

x=100-y (3)

Después, puedes reemplazar (3) en (2):

90(100-y)+45y=8190

9000-90y+45y=8190

9000-8190=90y-45y

810=45y

y=810/45

y=18

Ahora, puedes reemplazar el valor de y en (3) para encontrar x:

x=100-y

x=100-18

x=82

De acuerdo a esto, la respuesta es que al evento entraron 82 adultos y 18 menores de edad.

The length of the kite string to the nearest metres is 57 metres

The kite is 38m above the ground. The angle the kite string makes with the ground is 42 °.

This situation forms a right angle triangle. Therefore, the length of the kite string can be found as follows;

using trigonometric ratios,

sin 42 = opposite / hypotenuse

hypotenuse side = length of the kite string

opposite side = 38 m

Therefore,

sin 42 = 38 / h

cross multiply

h = 38 / sin 42

h = 38 / 0.66913060635

h = 56.7901603575

h = 57 metres.

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The probability of picking two snacks of the same type is 0.308.

The probability of picking 2 potato will be:

= 6/14 × 5/13

= 0.429 × 0.385

= 0.165

The probability of picking 2 doritos will be:

= 5/14 × 4/13

= 0.357 × 0.308

= 0.110

The probability of picking 2 corn curls will be:

= 3/14 × 2/13

= 0.214 × 0.154

= 0.033

Therefore, the probability of picking two snacks of the same type will be:

= 0.165 + 0.110 + 0.033

= 0.308

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