37. Perform the following binary multiplications, assuming unsigned integers: b) 10011 x 1011

Answer:

The 11th check

Step-by-step explanation:

Answer: The dividend yield is the annual dividend payment divided by the stock's current market price, expressed as a percentage.

Dividend yield = (Annual dividend payment / Stock's current market price) x 100%

In this case:

Annual dividend payment = $1.98

Stock's current market price = $41.68

Dividend yield = ($1.98 / $41.68) x 100% = 4.75%

Therefore, the dividend yield for AT&T is 4.75%.

Step-by-step explanation:

The equation to model the relationship between the number of years that she has worked for this employer and the number of paid vacation will be 4x + 3.

Based on the information given, it should be noted that the equation to represent the information will be:

= (4 × x) + 3

= 4x + 3

Therefore, the number of paid vacation days that she had earned will be:

= 4x + 3

= 4(6) + 3

= 27 days.

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To verify that X(t) and Y(t) are wide-sense stationary (WSS) random processes, we need to check two properties: time-invariance of the mean and autocorrelation functions. X(t) and Y(t) are independent zero-mean random processes with specific autocorrelation functions. We will examine these properties to confirm if they satisfy the WSS conditions.

1. Time-invariance of the mean: For a process to be WSS, its mean must be constant over time. Since both X(t) and Y(t) are zero-mean random processes, their means are constant and equal to zero, independent of time. Therefore, the first property is satisfied.

2. Autocorrelation functions: The autocorrelation function of X(t) is given by RXX(τ) = e^(-|τ|), which is a function solely dependent on the time difference τ. Similarly, the autocorrelation function of Y(t) is RYY(τ) = cos(2πτ), also dependent only on τ. This indicates that the autocorrelation functions of both processes are time-invariant and only depend on the time difference between two points. Consequently, the second property of WSS is satisfied.

Since X(t) and Y(t) fulfill both the time-invariance of the mean and autocorrelation functions, they meet the conditions for being wide-sense stationary (WSS) random processes.

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Answer:

Two vectors are parallel if they are scalar multiples of one another. If u and v are two non-zero vectors and u = c v, then u and v are parallel. The following diagram shows several vectors that are parallel.

Step-by-step explanation:

The requried given vectors are not parallel. As their dot product is not zero.

Vector is defined as the quantities that have both magnitude and direction are called a vector quantity and the nature of the quantity is called a vector.  

Two non-zero vectors are parallel if they are scalar multiples of each other. In other words, if one vector is a constant multiple of the other, then they are parallel.

Let k be the scalar multiple such that:

u₁ = k u₂

Substituting the given values of u₁ and u₂, we get:

<2, 3> = k <-3, -2>

Multiplying both sides by -1, we get:

<-2, -3> = k <3, 2>

Now, we can see that the two vectors are not scalar multiples of each other, since there is no value of k that satisfies this equation. Therefore, u₁ and u₂ are not parallel.

We can also verify this by checking their dot product. If the dot product of two non-zero vectors is zero, then they are orthogonal (perpendicular), not parallel. The dot product of u₁ and u₂ is:

u₁ ⋅ u₂ = (2)(-3) + (3)(-2) = -6 - 6 = -12

Since the dot product is not zero, we can conclude that the vectors u₁ and u₂ are not parallel.

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Answer:

≈ 0.35

Step-by-step explanation:

First simplify \(\sqrt{8}\) and \(\frac{1}{8}\) :

\(\sqrt{8}\) ≈ 2.83

\(\frac{1}{8}\) = 0.125

Now multiply them as shown in the original equation:

0.125 x 2.83 = 0.35375 ≈ 0.35

Answer:

x=40

y=− 17 /6

Step-by-step explanation:

Answer:

22.5°

Step-by-step explanation:

First we need to figure out the size of the interior angles on the inside.

The formula of figuring out the total degrees of all the interior angles of any shape is (n-2)×180°.

N is the number of sides.

If we substitute our number of sides (8) we get this:

(8-2)×180°

6×180° = 1080°

Then we divide 1080 by 8 since this is a regular octagon (all angles are equal in a regular shape).

1080° ÷ 8 = 135°

Focusing on the triangle now, we now know that the angle on the tip of the triangle is 135° as it has not been split by the line.

Using the rule of angles in a triangle add up to 180°. We do this sum:

180° - 135° = 45°

There are 2 angles left in the triangle so we do:

45° ÷ 2 = 22.5°

Therefore the angle of x is 22.5°.

Time required to reach the principal amount $2000 to 10,000 dollars with 6 percent compounded continuously per year is equal to 26.8 years.

As given on the question,

Principal amount 'P' = 2,000 dollars

Interest rate 'r' = 6% compounded continuously per year

                         = 6/100

                         = 0.06

Amount 'A'= 10,000 dollars

Let 't' be the time taken.

Formula used:

t = ln(A/P) / r

Substitute the value we get,

t = ln(10,000/2000) / (0.06)

  = 26.824 years

  ≈26.8 years

Therefore, time required for the given principal amount of dollars 2,000 to reach 10,000 dollars at the rate of interest 6% per year compounded continuously is equal to 26.8 years.

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Answer:

19

Step-by-step explanation: hope this helped :)

Answer:

19

8x3+4-3/1x5+6=

24+4-15/1+6=

24+4-15+6=

19

The probability that at least 4 people arrive during a particular hour can be calculated by using the cumulative distribution function of the Poisson distribution. The answer is option C: 1-ppois(4,5).

Poisson Process is a mathematical model that has applications in the areas of telecommunications, electrical engineering, physics, biology, economics, etc. It is also used to model the number of occurrences of a certain event in a fixed period of time.

It can be used to model the number of cars passing through a certain intersection per day, the number of phone calls received by a call center in an hour, or the number of accidents that occur in a particular area over a given period. Poisson distribution is used to solve problems that involve Poisson processes.

Poisson Distribution is a statistical distribution that gives the probability of a certain number of events occurring in a fixed period of time. The Poisson distribution is used to model the number of events that occur in a fixed period of time, given the mean rate of occurrence.

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Answer:

Point F is the furthest.

Step-by-step explanation:

Answer:

Part A -- 29 plants

Part B -- 90.75$

Step-by-step explanation:

79.75 / 2.75 = 29

4 x 2.75 = 11

79.75 + 11 = 90.75

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

F' = (-6,3)

Distance = 12 units

Step-by-step explanation:

F is currently at (6,3).

Reflected over the y-axis, it would be at (-6,3).

That puts them 12 units apart.

After a dilation with a scale factor of 1/2, the new vertices of the triangle are A'(3,1), B'(-1,0), and C'(-2,1). The dilated triangle is a smaller version of the original triangle, maintaining the same shape and proportions.

To draw the image of the triangle after a dilation with a scale factor of 1/2, we need to calculate the new coordinates of each vertex. Here's a detailed human-generated answer without plagiarism:

Given vertices:

A(6, 2)

B(-2, 0)

C(-4, 2)

Dilation with scale factor of 1/2:

To dilate the triangle, we will multiply the x and y coordinates of each vertex by the scale factor (1/2).

New coordinates calculation:

A'(x, y) = (1/2 × 6, 1/2 × 2) = (3, 1)

B'(x, y) = (1/2 × -2, 1/2 × 0) = (-1, 0)

C'(x, y) = (1/2 × -4, 1/2 × 2) = (-2, 1)

New coordinates:

A'(3, 1)

B'(-1, 0)

C'(-2, 1)

Now, let's plot the original triangle and the image after dilation:

Original Triangle:

A(6, 2)

B(-2, 0)

C(-4, 2)

Dilated Triangle:

A'(3, 1)

B'(-1, 0)

C'(-2, 1)

Here's the graphical representation of the original triangle (solid lines) and the dilated triangle (dashed lines):

In the diagram, the original triangle is represented by solid lines (connecting vertices A, B, and C), and the dilated triangle is represented by dashed lines (connecting vertices A', B', and C'). The dilation with a scale factor of 1/2 has resulted in the triangle being reduced in size by half.

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Answer:

The area of the circular top surface of the trampoline is approximately 113.1 square feet.

Step-by-step explanation:

To find the area of the circular top surface of the trampoline, we can use the formula for the area of a circle:

Area = π * r^2

Given that the diameter of the trampoline is 12 feet, we can find the radius (r) by dividing the diameter by 2:

Radius (r) = Diameter / 2 = 12 ft / 2 = 6 ft

Now, we can substitute the value of the radius into the formula to calculate the area:

Area = π * (6 ft)^2 = π * 36 ft^2 ≈ 113.1 ft^2

Therefore, the area of the circular top surface of the trampoline is approximately 113.1 square feet.

Answer:

Step-by-step explanation:

12

Answer:

To determine whether a function is even, odd, or neither, check if the function satisfies the properties of even or odd functions algebraically. If f(x) = f(-x), the function is even. If f(x) = -f(-x), the function is odd. Otherwise, it is neither.

Step-by-step explanation:

To determine whether a given function is even, odd, or neither, we need to analyze the function's algebraic properties based on how it behaves with respect to symmetry and the sign of its variables.

Even Function: An even function is symmetric with respect to the y-axis, meaning that if you reflect the graph of the function across the y-axis, it remains unchanged. Algebraically, an even function satisfies the property: f(x) = f(-x) for all x in the function's domain.

Odd Function: An odd function is symmetric with respect to the origin (0,0), meaning that if you rotate the graph of the function by 180 degrees around the origin, it remains unchanged. Algebraically, an odd function satisfies the property: f(x) = -f(-x) for all x in the function's domain.

Neither Function: If a function does not satisfy the properties of even or odd functions, it is considered neither.To determine the nature of a specific function, you would need to provide the function itself. Please provide the function, and I will be able to help you determine whether it is even, odd, or neither.

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Answer:

The store makes $21 per sweater.

This is the same as the constant of proportionality between the profit made and the number of sweaters sold.

Step-by-step explanation:

$286−$55

Total Profit=$231

Profit Per Sweater=11/$231

Profit Per Sweater=$21

If store buys 11 sweaters for $55 and sells them for $286 then the  store makes a profit of $21 per sweater.

To calculate the profit per sweater, you need to subtract the cost per sweater from the selling price per sweater.

Cost per sweater = Total cost / Number of sweaters

= $55 / 11

= $5

Selling price per sweater = Total selling price / Number of sweaters

= $286 / 11

= $26

Profit per sweater = Selling price per sweater - Cost per sweater

= $26 - $5

= $21

So, the store makes a profit of $21 per sweater.

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Answer: 3

Step-by-step explanation:

Basically all you have to do is subtract 6 from both sides so you will get:

3 = v

The area of the rug is A = 1/2 × 7/6 and the area is 7/12

The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity.

The area of a rectangle = l× w

The length = 7/6

The width = 1/2

Therefore the area = 7/6 × 1/2

= 7/12

therefore the area of the rug is 7/12

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To determine the linear independence of the given vectors in M22, we need to check if they are linearly dependent or independent. If they are dependent, we can express one vector as a linear combination of the others.

(a) To check for linear independence, we can form a matrix using the given vectors as its columns and perform row reduction to determine if the matrix is invertible. If the matrix is invertible, the vectors are linearly independent; otherwise, they are dependent.

Creating the matrix using the given vectors:

[ -1 1 ]

[ 2 0 ]

Performing row reduction, we get:

[ 1 0 ]

[ 0 1 ]

Since the row-reduced echelon form of the matrix is the identity matrix, the given vectors are linearly independent.

(b) Since the vectors are linearly independent, there is no need to express one as a linear combination of the others.

In summary, the given vectors [-1 1] and [2 0] in M22 are linearly independent, and no vector can be expressed as a linear combination of the others.

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Given that Point T is on line segment SU, T is collinear with S and U, and the numerical length of SU is 24.

Since Point T is on line segment SU, then S, T, and U are collinear.

Collinear points refers to the points that lies on the same straight line.

IF S, T, and U are collinear, then the sum of the numerical length of ST and the numerical length of TU is equal to the numerical length of SU.

ST + TU = SU

Given:

ST = 3x + 2

TU = 3x + 4

SU = 5x + 9

Substitute the expressions in the equation and solve for x.

ST + TU = SU

3x + 2 + 3x + 4 = 5x + 9

3x + 3x - 5x = 9 - 2 - 4

x = 3

Substitute the value of x in the expression for SU.

SU = 5x + 9

SU = 5(3) + 9

SU = 24

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The linear function that passes through the points (-2, 1) and (12, 7) is:

f(x) = (3/7)x + 13/7.

To write a linear function that passes through the points (-2, 1) and (12, 7), we can use the slope-intercept form of the equation for a line:

y = mx + b

where m is the slope of the line, b is the y-intercept, and x and y are the coordinates of a point on the line.

To find the slope of the line, we use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-2, 1) and (x2, y2) = (12, 7).

m = (7 - 1) / (12 - (-2)) = 6 / 14 = 3 / 7

So the slope of the line is 3/7.

To find To write a linear function that passes through the points (-2, 1) and (12, 7), we can use the slope-intercept form of the equation for a line:

y = mx + b

where m is the slope of the line, b is the y-intercept, and x and y are the coordinates of a point on the line.

To find the slope of the line, we use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-2, 1) and (x2, y2) = (12, 7).

m = (7 - 1) / (12 - (-2)) = 6 / 14 = 3 / 7

So the slope of the line is 3/7.

To find the y-intercept, we can use the point-slope form of the equation for a line:

y - y1 = m(x - x1)

where (x1, y1) = (-2, 1) and m = 3/7.

y - 1 = (3/7)(x - (-2))

y - 1 = (3/7)(x + 2)

y - 1 = (3/7)x + 6/7

y = (3/7)x + 6/7 + 1

y = (3/7)x + 13/7

Therefore, the linear function that passes through the points (-2, 1) and (12, 7) is:

f(x) = (3/7)x + 13/7.he y-intercept, we can use the point-slope form of the equation for a line:

y - y1 = m(x - x1

where (x1, y1) = (-2, 1) and m = 3/7.

y - 1 = (3/7)(x - (-2))

y - 1 = (3/7)(x + 2)

y - 1 = (3/7)x + 6/7

y = (3/7)x + 6/7 + 1

y = (3/7)x + 13/7

Therefore, the linear function that passes through the points (-2, 1) and (12, 7) is:

f(x) = (3/7)x + 13/7.

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Answer:

\((4,8)\)

Step-by-step explanation:

\(y=x^2-8x+24 \\ \\ y=(x^2-8x+16)+24-16 \\ \\ y=(x-4)^2+8\)

So, the vertex is \((4,8)\).

Answer: 12.5 million dollars.

Step-by-step explanation:

If the mean of the exponential distribution is uniformly distributed between 1 million dollars and 10.5 million dollars, we can find the expected value or mean of this uniform distribution by taking the average of the minimum and maximum values:

E(X) = (1 million dollars + 10.5 million dollars) / 2 = 5.75 million dollars

The standard deviation of a uniform distribution can be calculated using the formula:

SD(X) = (b - a) / sqrt(12)

where a is the minimum value (1 million dollars) and b is the maximum value (10.5 million dollars).

SD(X) = (10.5 million dollars - 1 million dollars) / sqrt(12) = 2.84 million dollars

The mean and standard deviation of an exponential distribution are equal, so the mean of the lifetime income for a randomly selected current graduate is also 5.75 million dollars, and the standard deviation is 2.84 million dollars.

Therefore, the sum of the mean and standard deviation of the lifetime income is:

5.75 million dollars + 2.84 million dollars = 8.59 million dollars

However, the question asks for the answer in millions of dollars, so we need to divide by one million:

8.59 million dollars / 1 million = 8.59

So the final answer is 8.59 + 3 (million dollars) = 11.59 million dollars, which rounds up to 12.5 million dollars.

The sum of the mean and standard deviation of a randomly selected current graduate is 11.5 million dollars.

The mean of the exponential distribution is uniformly distributed between 1 million dollars and 10.5 million dollars. Therefore, the expected value of the mean is the average of the two extremes, which is (1+10.5)/2 = 5.75 million dollars.
Since the exponential distribution has a constant standard deviation (equal to its mean), we can calculate the standard deviation of each student's income as the same value as their mean.
Therefore, the sum of the mean and standard deviation of a randomly selected current graduate is 5.75 million dollars (mean) + 5.75 million dollars (standard deviation) = 11.5 million dollars.
For an exponential distribution, the mean (μ) and standard deviation (σ) are equal to the reciprocal of the rate parameter (λ). Since the mean of the exponential distribution is uniformly distributed between 1 million dollars and 10.5 million dollars, we need to find the average mean (E[μ]).
E[μ] = (1 + 10.5) / 2 = 5.75 million dollars
Since the mean and standard deviation are equal in an exponential distribution, the standard deviation (σ) is also 5.75 million dollars.
The sum of the mean and standard deviation of the lifetime income of a randomly selected current graduate is:
5.75 (mean) + 5.75 (standard deviation) = 11.5 million dollars.

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When you do NOT assume the weather each day is independent (meaning if it rains on Saturday that increases the probability of having rain on Sunday), the probability that it will rain on the first Saturday AND on that Sunday depends on how the weather is dependent. The probability of rain on the first Saturday is not given;

let it be x. Then the probability of rain on Sunday depends on what happened on Saturday. If it rained on Saturday, then the probability that it rains again on Sunday is p. If it did not rain on Saturday, then the probability that it rains on Sunday is q.

Then the probability that it will rain on the first Saturday AND on that Sunday is given byxp + (1-x)q.Here x is the probability of rain on Saturday and (1-x) is the probability of no rain on Saturday. The probability of rain on Sunday, given that it rained on Saturday, is p. The probability of rain on Sunday, given that it did not rain on Saturday, is q. Therefore, the probability that it will rain on the first Saturday AND on that Sunday isxp + (1-x)q.

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B is sitting at the extreme left end, and D is sitting at the extreme right end of the bench.

Based on the given information, we know that A and E are sitting with three people between them. This means that there are two people sitting between A and E.

Since C does not sit next to A or E, C cannot be one of the two people sitting between A and E. Therefore, the two people sitting between A and E must be B and D.

Now, we can determine the arrangement of the people on the bench:

Since B and D are sitting between A and E, the only two remaining positions for them are the first and fifth positions on the bench. Therefore, B must be sitting at the extreme left end of the bench, and D must be sitting at the extreme right end of the bench.

So, B is sitting at the extreme left end, and D is sitting at the extreme right end of the bench.

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Answer:

E: 20/(7-2)+(5^2*3)

D: (24+16)/(8-4)

sorry, didn’t do q2

Step-by-step explanation:

E (q1)

20/(7-2)+(5^2*3) is 79

20/5 plus 25*3 is 79

4 plus 75 is 79

D (q1)

(24+16)/(8-4) is 10....... 40/4 is 10