how many days altogether in the first four months of 1998

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.

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Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

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The Z-score for the minimum age is -2.1449 and the Z-score for the maximum age is 1.8306 and the more extreme Z-score is the one with the larger absolute value

To standardize the minimum and maximum ages, we need to calculate the Z-score for each. The formula for Z-score is (value - mean) / standard deviation.

Mean = 32.04,

Standard Deviation = 9.800
Minimum age = 11,

Maximum age = 50

For the minimum age: Z-score = (11 - 32.04) / 9.800 = -2.1449
For the maximum age: Z-score = (50 - 32.04) / 9.800 = 1.8306

So, someone with a Z-score of 3 would be approximately 61.44 years old.

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Answer:

B) 3b. 10b

Step-by-step explanation:

B) 3b. 10b = (3x10)(bxb) = 30b²

Answer:

Step-by-step explanation:

let the parabola be y=a(x+5)²+0

or y=a(x+5)²

∵ it passes through (-3,1)

1=a(-3+5)²

4a=1

a=1/4

so parabola is y=1/4(x+5)²

Step-by-step explanation:

f(-1) = 4(2)^-1 ≈ 4 × 1/2 = 2

(x, f(x)) = (-1, 2)

f(0) = 4(2)⁰ = 4×1 = 4

(x, f(x)) = (0, 4)

f(1) = 4(2)¹ = 4×2 = 8

(x, f(x)) = (1, 8)

f(2) = 4(2)² = 4×4 = 16

(x, f(x)) = (2, 16)

Therefore, both classes have the same median number of books read during the summer.It is worth noting that the median only gives us information about the middle value in a data set.

In order to find the median number of books read by each class, we first need to organize the data in ascending order. Here are the responses for each class:Class A: 0, 1, 2, 3, 3, 4, 4, 4, 5, 5, 6, 7, 8, 9, 11Class B: 0, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10The median is the middle value in a data set when it is organized in ascending or descending order. If there are an odd number of values, the median is simply the middle value.

If there are an even number of values, the median is the average of the two middle values.In this case, both classes have an odd number of values, so we can find the median directly by identifying the middle value.Class A has 15 values, so the middle value is the 8th value.

The 8th value in the ordered list is 4, so the median number of books read by Class A is 4.Class B also has 15 values, so the middle value is again the 8th value. The 8th value in the ordered list is also 4, so the median number of books read by Class B is 4.

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Answer:

4 hours

Step-by-step explanation:

120 ÷ 30 = 4

Hope this helps. Pls give brainliest.

Based on the information in the graph, we can infer that the missing numbers are: 9, 4, 19, 30, 84, 16, 8, 22, and 40.

To complete the table correctly we must identify the columns or rows with more data. These will be the easiest to complete. First of all, we must fill in those that already have a number in the total box because we can add the available numbers and later subtract them from the total to identify the missing number.

We can also find the numbers in the total cells by adding all the numbers in a column or row to find this result. Finally, the boxes that are being completed serve as clues to complete the others.

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Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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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.

Answer:

125

Step-by-step explanation:

Answer:

The answer is 2.50.

Step-by-step explanation:

The amount of Hector's raise per hour will be $2.50. The correct option is D.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Hector works 12 hours per week at a part-time hour per week at a part-time job

Number of hours worked per week  = 12 hours

His original pay rate was $8.00 per hour. but he recently received a raise of x dollars per hour.

Pay per hour is 8hr, a raise of x gives 8 + x

New total wage  = 12(8+x)

Amount earned last week  =  $126

New total wage = Amount earned last week

12(8 + x ) = 126

96 + 12x  = 126

12x  = 126 - 96

12x  = 30

x = $2.50

Therefore, the amount of Hector's raise per hour will be $2.50. The correct option is D.

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(a) The maximum possible value for the magnitude of R occurs when the vectors A and B are aligned in the same direction. In this case, the magnitude of R is the sum of the magnitudes of A and B: R_max = A + B = 3 m + 8 m = 11 m.

(b) The minimum possible value for the magnitude of R occurs when the vectors A and B are aligned in the opposite direction. In this case, the magnitude of R is the absolute difference between the magnitudes of A and B: R_min = |A - B| = |3 m - 8 m| = |-5 m| = 5 m.

the maximum possible value for the magnitude of R is 11 m, and the minimum possible value is 5 m.

what is direction?

In the context of various fields, the term "direction" can have different meanings:

Physics and Geometry: Direction refers to the orientation or path along which an object or phenomenon is moving or pointing. It specifies the line or vector in which an object is traveling or the position of one point relative to another. In physics, direction is often described using angles, coordinates, or vectors.

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To determine if it would be unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name, we can use the concept of standard deviation and z-scores.

First, we need to calculate the z-score, which measures how many standard deviations an observation is from the mean. The formula for calculating the z-score is:

z = (x - μ) / σ

where

z = (5 - 9.3) / 0.99

z = -4.394

Next, we can consult a standard normal distribution table or use statistical software to find the corresponding percentile associated with the z-score. This percentile represents the probability of randomly selecting a group of 12 people with fewer than 5 recognizing the Yummy brand name.

In this case, the z-score of -4.394 corresponds to an extremely low percentile, close to 0.

The exact probability can be determined using the z-score and the standard normal distribution table.

Since the probability is extremely low, it would be considered unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name.

However, it's important to note that the definition of "unusual" may vary depending on the specific criteria or threshold chosen.

In statistical terms, a common threshold for defining unusual events is a significance level of 5% (or 0.05). If the probability of observing the event is lower than the significance level, it is considered unusual.

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Answer:

$30 and $24

Step-by-step explanation:

Hello! We can rewrite ratios as 5x:4x because essentially we can put x in for any value and it would still be the same ratio (10:8, 15:12). So we will put x there just to make it easier to understand.

You know that the ratio of 5x:4x adds up to 54. And, now that we have the x, we can do a nifty trick. We can add 5x and 4x to get 9x. Now we have 9x = 54. If we simplify this, we get x = 6.

Now that we have x = 6, we can plug in that value in the ratio 5x:4x. 5 * 6 = 30 and 4 * 6 is 24

And that is exactly your answer: 30 and 24 dollars respectively

If you want to test it, you can add the two numbers to see if it adds to the number you want it to. After that, you can put it in a ratio and simplify it to see if it simplifies down to the same ratio. In this case, the two numbers satisfy both conditions.

Let me know if you have any questions!

If we don't allow to repeat a pick on the sample, than each student we pick will change the probability of picking the next one and, since we don't know the total number of students at her high school, we wouldn't be able to calculate this probability.

Thus, to calculate this with the provided information, we need to assume that we can repeat a student in the sample, that way the probability of picking a chemistry student will always be 40%.

So, with that assumption, we can use binomial probability to calculate the probability of picking at most from from that have taken chemistry on the 12 picked students.

Since we want at most 4, we have the consider the term of the binomial for which 0 students from chemistry were picked, the term for 1 from chesmitry, the term for 2, the term for 3 and the term for 4.

Let p be the probability of picking 1 student from chemistry, n be the total number of students picked and k be the number of students on those that are from chemistry. Then, each term will have the following:

In this case, n is always 12 and p is always 0.4, so 1 - p is always 0.6.

k will vary from 0 to 4 and the total probability will be the sum of each term.

The term for 0 students from chemistry has k = 0, so:

The term for 1 student from chemistry has k = 1, so:

The term for 2 student from chemistry has k = 2, so:

The term for 3 student from chemistry has k = 3, so:

The term for 4 student from chemistry has k = 4, so:

So, the total probability will be the sum of all these term:

So, the probability is approximately 0.438.

Answer:

9 books

Explanation:

Number of animal books = 43

Number of art books = 29

So, total number of books

= Number of animal books + Number of art books

= 43 + 29

= 72

Number of books in each shelf, if divided equally

= Total number of books/Number of shelfs

= 72/8

= 9

So, each shelf has 9 books in it.

Answer

this is a Parallelogram or a Polygon

Step-by-step explanation:

most likey the polygon

as i see it, it looks like a polygon

1) 12/1

2) 517/100

3) 2/25

4) 67/800

5) 5/2

A cross-sectional effect diagram, also known as an axial force-shear force-bending moment diagram or simply an internal force diagram, is a graphical representation that shows the distribution of internal forces (axial force, shear force, and bending moment) along the length of a structural member, such as a beam or column.

To draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure, we need to follow these steps:

Step 1: Identify the type of loadingFor this question, the loading conditions are {N}, {T}, {M}. So, the loading types are axial force, shear force, and bending moment.

Step 2: Draw the cross-sectional diagram of the beam. We need to draw the diagram of the cross-section of the beam in the direction of the forces acting on the beam. In this case, it will be a rectangular beam.

Step 3: Draw the effect diagrams After drawing the cross-sectional diagram, we need to draw the effect diagrams for each loading condition.

The effect diagrams are as follows: 1. Axial force diagram (N):In this case, the axial force is positive (+) which means it is a tensile force. 2. Shear force diagram (T):The shear force is negative (-) from x = 0 to x = 1, which means the shear force is acting downward. It is zero at x = 1 and then becomes positive (+) from x = 1 to x = 2, which means the shear force is acting upward. 3. Bending moment diagram (M):The bending moment is zero at x = 0, becomes negative (-) from x = 0 to x = 1, reaches a minimum at x = 1, and then becomes positive (+) from x = 1 to x = 2.

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High-low or least squares regression analysis should only be done if a scatter plot depicts linear cost behavior.

A scatter plot is a graphical representation of data points, with the x-axis representing the independent variable (such as the level of production) and the y-axis representing the dependent variable (such as the cost). Linear cost behavior means that the relationship between the independent and dependent variables can be approximated by a straight line. In other words, as the independent variable increases or decreases, the dependent variable changes proportionally.

To determine if a scatter plot depicts linear cost behavior, you need to visually examine the data points. If the points appear to align closely along a straight line, it indicates a linear relationship. However, if the points are scattered and do not follow a clear pattern, it suggests non-linear cost behavior.

High-low or least squares regression analysis are statistical techniques used to estimate and quantify the linear relationship between variables. These methods help determine the equation of the line that best fits the data points and can be used to predict future values. Therefore, performing these analyses is only meaningful when the scatter plot indicates linear cost behavior.

In summary, high-low or least squares regression analysis should only be done if a scatter plot depicts linear cost behavior.

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Answer:

x< 1/2 x>3/4

Step-by-step explanation:

Sorry i don't know how to put the equal sign but i hope this helps!

Answer:

y≥-10

Step-by-step explanation:

First step when you are give numbers, make a formula:

y+9≥-1

The next step is simply to subtract 9 from both sides to isolate the variable.

y≥-10

i hope this helps u!

pls five thanks and brainliest ;)

The solutions are:

sin(a)  = 24/25

tan(a) = 24/7

For a given point (x, y) and an angle "a" measured counterclockwise from the positive x-axis to a ray that connects the origin with our point, we can think on the situation as a triangle rectangle.

Where the ray is the hypotenuse, the x-component is the adjacent cathetus, and the y-component is the opposite cathetus.

So we have:

x = adjacent cathetus

y = opposite cathetus

h = hypotenuse = √(x^2 + y^2)

Then the trigonometric relations become:

cos(a) = x/√(x^2 + y^2)

sin(a) = y/√(x^2 + y^2)

tan(a) = y/x

Now, we know that we have:

cos(a) = 7/25

then we can see that:

x = 7

and

h = 25 = √(7^2 + y^2)

We can solve the above equation for y:

25 = √(7^2 + y^2)

25 = √(49 + y^2)

25^2 = 49 + y^2

625 - 49 = y^2

√576 = y = 24

Then we have:

x = 7

y = 24

h = 25

Now we can return to our known trigonometric relations and get:

sin(a) = y/√(x^2 + y^2) = 24/25

tan(a) = y/x = 24/7

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Answer:

(6x+1)^2

Step-by-step explanation:

Factor using the perfect square rule.

Answer:

306

Step-by-step explanation:

Take a list of primes and multiply each with the prime+1:

2*3 = 6

3*4 = 12

5*6 = 30

7*8 = 56

11*12 = 132

13*14 = 182

17*18 = 306

Answer:

5-6i

Step-by-step explanation:

The complex conjugate root theorem states that if (a+bi) is a root, then (a-bi) must also be a root and vice versa.

We know that (5+6i) is a root.

Then by the above theorem, (5-6i) must also be a root.

Hence, our solution is (5-6i).

The answer is (B).

Took the review test and passed.

Answer: 2000.25 ft

Step-by-step explanation:

Given

Height of lighthouse \(h=175\ ft\)

Angle of elevation \(\theta=5^{\circ}\)

Suppose, you are x feet away from lighthouse

From the figure, we can write

\(\Rightarrow \tan 5^{\circ}=\dfrac{175}{x}\\\\\Rightarrow x=\dfrac{175}{\tan 5^{\circ}}\\\\\Rightarrow x=2000.26\ ft\)

Thus, the ship is 2000.25 ft away from the light-house