Select all the expressions equivalent to -2/3x +2

In this case, Asset A has a return of 16% and represents 60% of the portfolio, while Asset B has a return of 22% and represents 40% of the portfolio. The correlation between Asset A and B is given as 0.93.

To calculate the expected return of the portfolio, we use the following formula:

Expected Return = (Weight of Asset A * Return of Asset A) + (Weight of Asset B * Return of Asset B) + (2 * Weight of Asset A * Weight of Asset B * Correlation between A and B * Standard Deviation of Asset A * Standard Deviation of Asset B)The expected return for a portfolio composed of two assets, A and B, can be calculated using the weighted average of the individual asset returns, considering their respective weights in the portfolio.

By plug in the given values and performing the calculations, we can determine the expected return for the portfolio comprised of 60% Asset A and 40% Asset B.

Learn more about plug here

brainly.com/question/30262705

#SPJ11

This means that when all 8 parts are arranged in a single row, probability there are 28 different conceivable configurations. Finley can have 4 red and 4 black, 5 red and 3 black, 6 red and 2 black, or 7 red and 1 black, depending on the quantity of red and black pieces.

Finley features eight game pieces, each of which is entirely either all red or all black and simply differs in colour. This indicates that there are 28 distinct configurations that may be made using the 8 pieces arranged in a single row. Finley could have 4 red and 4 black, 5 red and 3 black, 6 red and 2 black, or 7 red and 1 black, depending on the quantity of red and black pieces. This is due to the fact that the 8 pieces can be arranged in a variety of ways, and each arrangement will be deemed distinct as long as it contains at least one red and one black piece. For instance, the configuration could be as follows if there are 4 red and 4 black pieces: If there are four red pieces and four black pieces, for instance, the arrangement might be either black-red-black-red-black-red-red or red-black-red-black-red-black. No matter the configuration, there are a total of 28 arrangements.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

The population mean and  population standard deviation for the given sample data from a normal population is  10 and 3.46 respectively.

Sample data is equal to,

10, 8, 12, 15, 13, 11, 6, 5

The point estimate of the population mean can be calculated by finding the sample mean,

sample mean 'x' = (10 + 8 + 12 + 15 + 13 + 11 + 6 + 5) / 8

                           = 10

The point estimate of the population mean is 10.

The point estimate of the population standard deviation can be calculated by finding the sample standard deviation,

Sample variance

= [ Σ ( xi - x )^2 / ( n - 1 ) ]

= [(10 - 10)^2 + (8 - 10)^2 + (12 - 10)^2 + (15 - 10)^2 + (13 - 10)^2 + (11 - 10)^2 + (6 - 10)^2 + (5 - 10)^2] / (8 - 1)

= 0 + 4 + 4 + 25 + 9+ 1 + 16 + 25 / 7

= 84/7

=12

⇒Sample standard deviation = √(sample variance)

⇒Sample standard deviation= √(12)

⇒Sample standard deviation≈ 3.46

The point estimate of the population standard deviation is approximately 3.46.

Therefore, the population mean and the population standard deviation is equals to 10 and 3.46 respectively.

Learn more about population mean here

brainly.com/question/15824119

#SPJ4

During the winter season, a family sets up a hot chocolate stand near a local ice skating rink. They sell cups of hot chocolate for $1.50 each and typically sell 50 cups per day.

However, due to changes in weather conditions and customer preferences, the family decides to conduct a market experiment by varying the price of hot chocolate to assess the impact on sales volume. The experiment involves increasing the price to $2.00 per cup and monitoring the resulting sales.

By increasing the price of hot chocolate from $1.50 to $2.00 per cup, the family aims to observe how the change in price affects the demand for their product. The experiment helps them understand the price elasticity of demand, which measures the responsiveness of quantity demanded to changes in price. If the increase in price leads to a significant decrease in sales volume, it suggests that the demand for hot chocolate is elastic, meaning consumers are sensitive to price changes. Conversely, if sales remain relatively stable despite the price increase, it indicates that the demand is inelastic, indicating that consumers are less sensitive to price changes. The family can analyze the results of this experiment to make informed pricing decisions and optimize their profitability during the winter season.

To learn more about profitability: -

brainly.com/question/29662354

#SPJ11

Answer:

12

Step-by-step explanation:

((2+10)÷2)×2

Answer:

The area of the figure is 20 units²

Step-by-step explanation:

The shape is a trapezoid. The area formula for a trapezoid is \(\frac{b_{1}*b_{2} }{2} *h\)

The first base is 2.

The second base is 10.

The height is 2.

\(\frac{2*10}{2} *2=\)

\(\frac{20}{2} *2=\)

\(10*2=\)

\(20\)

The area of the figure is 20 units²

Answer:

A

Step-by-step explanation:

A is the answer because it gives direct address to parents and kids. All the others don't give a direct subject, unlike A that says parents and kids.

Answer:

E. 248

Step-by-step explanation:

1 to 500 in set A, 250 to 750 in set B

500 - 250 = 250

100 and 200 are divisible by 100.

250 - 2 = 248

Answer:

The answer is " x = - 1 "

Step-by-step explanation:

\(9t^{2}\) - 54t + 81 = 36t + 180

^ The you solve the equation

t = 11, t = - 1

^ and then verify the solution

t = - 11 ( False ), t = -1 ( True )

Answer = t = -1

The first 3 terms of the sequence are 21, 24 and 29

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

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

Read more about sequence at

https://brainly.com/question/30499691

#SPJ1

Answer: what he said^

Step-by-step explanation: i like the points

Answer:

Yes

Step-by-step explanation:

Congruence means two objects (whether two dimensional or three dimensional) are identical in size and shape. Everything about them -- their angles, lengths of sides, overall dimensions -- are identical. Similar means being the same shape. Two congruent figures must be the same shape, so they are similar.

Hope that helps!

-Sabrina

Answer: I believe he could wear 768 outfits

Step-by-step explanation: I had a similar question consisting of the same numbers.

Then, you can simplify by multiplying through by cos(θ) to get rid of the fraction:

(sin2θ)/cos(θ) + sin(θ)= sin(θ)(1 + cos(θ))/cos(θ)

When simplifying a trigonometric expression, you can use identities and/or algebraic techniques.

There are a few key identities that can be used to simplify trigonometric expressions. One such identity is the Pythagorean identity:

sin2θ + cos2θ = 1.

Another identity is the reciprocal identity:

1/cscθ = sinθ, 1/secθ = cosθ, 1/cotθ = tanθ.

Finally, the quotient identity is another helpful tool:

tanθ = sinθ/cosθ.

To simplify a trigonometric expression using these identities, you should look for ways to rewrite parts of the expression in terms of these identities.

For example, if you have an expression like sin(θ)cos(θ) + cos(θ), you can use the Pythagorean identity to rewrite

sin2θ as 1 - cos2θ, and then substitute that in to get:

(1 - cos2θ)cosθ + cosθ= cosθ - cos3θ

Another example of a trigonometric expression that can be simplified using these techniques is:

tan(θ)sin(θ) + cos(θ)tan(θ)

First, you can use the quotient identity to rewrite tan(θ) as sin(θ)/cos(θ):

(sin(θ)/cos(θ))sin(θ) + cos(θ)(sin(θ)/cos(θ))

Then, you can simplify by multiplying through by cos(θ) to get rid of the fraction:

(sin2θ)/cos(θ) + sin(θ)= sin(θ)(1 + cos(θ))/cos(θ)

for such more question on trigonometric

https://brainly.com/question/25618616

#SPJ11

-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

Learn more about expression here:

https://brainly.com/question/23246712

#SPJ1

The height of cliff is 62.50 ft

Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.

Given that, the angle of elevation from point A to the top of a cliff is 38°, the point A is 80 feet from the base of the cliff,

Refer to figure attached,

The scene is making a right triangle, with an acute angle 38°, and base (distance from point to base of the cliff) 80 ft, we need to find the length of perpendicular line which is the height of the cliff,

Therefore,

We know that,

tan β = ratio of the perpendicular side to base of a triangle,

Therefore,

tan 38° = AB / 80

AB = 62.50

Hence, the height of cliff is 62.50 ft

Learn more about height and distance, click;

https://brainly.com/question/9965435

#SPJ1

Answer:

sometime

Step-by-step explanation:

Since the sides RS and QT are parallel, these triangles are similar by case AA.

So we can write the following proportion between corresponding sides:

So the length of PT is 35 units.

Answer:

Step-by-step explanation:

The number of 10-digit numbers where the sum of the digits is divisible by 10 is 252.

We have,

To find the number of 10-digit numbers where the sum of the digits is divisible by 10, you can use the concept of generating functions.

Consider a polynomial with 10 terms, each term representing the digit at a specific position in the 10-digit number.

Let the variable x represent the digits from 0 to 9, and let the exponent of x in each term represent the count of that digit in the number.

For example, if you have 3 occurrences of the digit 5, you would have a term of x³.

The generating function for the sum of the digits is then:

\(f(x) = (x^0 + x^1 + x^2 + ... + x^9)^10\)

Now, you want to find the coefficient of the term x^10 in this polynomial, as it represents the number of 10-digit numbers where the sum of the digits is divisible by 10.

You can use various methods to calculate this coefficient, but one approach is to expand the polynomial using binomial coefficients:

\(f(x) = (1 + x + x^2 + ... + x^9)^{10\)

Now, use the binomial theorem to expand this:

\(f(x) = C(10, 0)*x^0 + C(10, 1)*x^1 + C(10, 2)*x^2 + ... + C(10, 9)*x^9\)

Where C(n, k) represents the binomial coefficient "n choose k."

Now, focus on the term with \(x^{10:\)

\(C(10, 0)*x^0 + C(10, 1)*x^1 + C(10, 2)*x^2 + ... + C(10, 9)*x^9\)

To find the coefficient of \(x^{10\), you only need to consider the term

C(10, 5)*\(x^5\) because 5 is the only power of x that, when multiplied by 2, will give you \(x^{10.\)

So, the number of 10-digit numbers where the sum of the digits is divisible by 10 is:

C(10, 5) = 252

There are 252 such 10-digit numbers.

Thus,

The number of 10-digit numbers where the sum of the digits is divisible by 10 is 252.

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ12

The correlation coefficient between the student's height and the distance they were able to jump is -1.13.

To compute the correlation coefficient (r) between the person's height and the distance they were able to jump, we need to use the given formula:

\(r = \sum (xi - \bar x)(yi -\bar y) / \sqrt{(\sum (xi - \bar x)^2 * \sum (yi -\bar y)^2)\)

Where:

In our case,

\(\bar x\) = 64.44

\(\bar y = 6.06\)

Square the differences and sum them:

\(\sum ((xi -\bar x)^2) =307.84\\\\\sum ((yi -\bar y )^2) = 2.7224\)

Calculate the correlation coefficient using the formula:

\(r = -32.63 / \sqrt{(307.84 * 2.7224)}\\\\r = -32.63 / \sqrt{838.74158}\\\\\r = -32.63 / 28.96\\\\r = -1.128\)

Therefore, the correlation coefficient (r) for the linear fit between height and jump distance is approximately -1.13.

Learn more about correlation coefficient here:

brainly.com/question/27246345

#SPJ1

Step-by-step explanation:

There are 185 marbles in a bag. 40% of the marbles are blue and the rest are of other colours.

a. Find the percentage of marbles that are not blue.

100% - 40% = 60%

b. Find the number of marbles that are not blue​.

60% = 0.6

0.6 * 185 = 111 marbles

Answer:

C

Step-by-step explanation:

Hope this helped! Please tell me if I'm wrong!

Answer:

\(P(C)=\frac{3}{9}\)

Step-by-step explanation:

Ω - is the number of all possible events.

|Ω|=9=|Omega|

A - the event that the drawn card numbered is  by an even number.

A={2,4,6,8}

|A|=4

P(A) - probability of event A.

\(P(A)=\frac{|A|}{|Omega|} =\frac{4}{9}\)

B - the event that the drawn card is numbered by a number less than 7

B={1,2,3,4,5,6}

|B|=6

P(B) - probability of event B.

\(P(B)=\frac{|B|}{|Omega|} =\frac{6}{9}\)

C- the event that the drawn card numbered is by an even number and

the drawn card is numbered by a number less than 7.

A={2,4,6,8} B={1,2,3,4,5,6}

C={2,4,6}            C=A∩B

|C|=3

P(C) - probability of event C.

\(P(C)=\frac{|C|}{|Omega|} =\frac{3}{9}\)

Answer:

Using the cosines law

Step-by-step explanation:

So, we need to find the length of the other side, we will use the version of the Cosine Rule where a2 is the subject of the formula, which is given by, a2=b2+c2−2bccosA, Side a is the one we are trying to find. Sides band care the other two sides, and angle Ais the angle opposite side a. c2=a2+b2−2abcosC

Euler's method will be more accurate if the solution to the differential equation is a lower order polynomial. As the order of the polynomial increases, the accuracy of Euler's method decreases.

Euler's method is a numerical approximation technique used to estimate the solution to a differential equation. It is not exact and introduces some error due to its approximation nature.

The accuracy of Euler's method depends on the order of the polynomial that represents the solution.

In general, Euler's method is more accurate for lower order polynomials. This means that if the solution to the differential equation is a lower order polynomial, the approximation obtained using Euler's method will be more accurate.

To understand this, let's consider an example. Suppose we have a first-order polynomial as the solution to the differential equation.

In this case, Euler's method will provide a reasonably accurate approximation. However, as the order of the polynomial increases, the accuracy of Euler's method decreases.

It's important to note that higher order polynomials have more complex behavior, and Euler's method cannot capture all the intricacies of the solution.

In such cases, other numerical approximation methods, like the Runge-Kutta method, may be more suitable.

In summary, Euler's method will be more accurate if the solution to the differential equation is a lower order polynomial. As the order of the polynomial increases, the accuracy of Euler's method decreases.

To know more about Euler's method refer here:

https://brainly.com/question/30699690

#SPJ11

We can use a programming language, Microsoft Excel, or an online random number generator to generate six random numbers between 1 and 650.

To generate six random numbers between 1 and 650, we can make use of several technology formats. Here, we will discuss three methods: using a programming language, using Microsoft Excel, and using an online random number generator. Let's discuss each of these methods in detail below.

Using a programming language: Programming languages such as Python, Java, and C++ can be used to generate random numbers. For example, using Python, we can write the following code to generate six random numbers between 1 and 650:import random for i in range(6): print(random. randint(1, 650))This code will generate six random numbers between 1 and 650 and print them to the console. We can modify the range and the upper limit of the randint function to generate more or fewer numbers or to generate numbers within a different range.

Using Microsoft Excel: Microsoft Excel has a built-in function called RANDBETWEEN that generates random numbers. To generate six random numbers between 1 and 650 in Excel, we can enter the following formula in a cell :=RANDBETWEEN (1, 650)We can copy and paste this formula into five other cells to generate a total of six random numbers. We can also use the RAND function instead of RANDBETWEEN to generate decimal numbers within a range. Using an online random number generator:

There are several online tools and websites that allow us to generate random numbers. One such tool is the Random Number Generator by Math Goodies. To generate six random numbers between 1 and 650 using this tool, we can enter 1 and 650 in the Min and Max fields and then enter 6 in the Quantity field.

We can then click the Generate button to generate the numbers.

In conclusion, we can use a programming language, Microsoft Excel, or an online random number generator to generate six random numbers between 1 and 650.

For more questions on Microsoft .

https://brainly.com/question/17177102

#SPJ8

Prior to placing an order to buy ABCD stock at a lower price, the investment adviser must conduct thorough research and analysis, set a target price, and determine an appropriate entry point for the purchase.

The investment adviser's primary responsibility is to act in the best interest of their client and make informed investment decisions. In this case, where the adviser believes ABCD stock is appropriate only if the price falls to $35 per share, several steps need to be taken before placing an order.

Firstly, the adviser should conduct comprehensive research on ABCD stock to understand its historical performance, financial health, industry trends, and any relevant news or events that might impact its future prospects. This research will help validate the adviser's belief that the stock is worth considering at a lower price.

Secondly, the adviser should establish a target price of $35 per share based on their analysis and the client's investment objectives. This target price serves as a reference point and provides a clear criterion for initiating the purchase.

Lastly, the adviser needs to identify an appropriate entry point for the purchase. This involves monitoring the stock's price movements and market conditions closely. The adviser may choose to set a limit order at $35 per share or implement a strategy to take advantage of potential price declines, such as dollar-cost averaging.

By following these steps, the investment adviser ensures that they have thoroughly evaluated the investment opportunity and have a plan in place before placing an order to buy ABCD stock for the client's account.

Learn more about investment here: https://brainly.com/question/12034462

#SPJ11