The graph of the discrete probability to the right represents
the number of live births by a mother 40 to 44 years old
who had a live birth in 2015. Complete parts (a) through (d)
below.

0.30-
0.25-
0.20
0.15
0.10
0.05
0.00
0
0.235
1
0.270
2
0784
113 0101
-4426-0004 0.045
3
6
Number of Live Births
(a) What is the probability that a randomly selected 40- to 44-year-old mother who had a live birth in 2015 has had her fourth live birth in that year?
(Type an integer or a decimal)
(b) What is the probability that a randomly selected 40- to 44-year-old mother who had a live birth in 2015 has had her fourth or fifth live birth in that year?
(Type an integer or a decimal.)
(c) What is the probability that a randomly selected 40- to 44-year-old mother who had a live birth in 2015 has had her sixth or more live birth in that year?
(Type an integer or a decimal)
(d) If a 40-to 44-year-old mother who had a live birth in 2015 is randomly selected, how many live births would you expect the mother to have had?

Answers

Answer 1

The values of the probabilities are

The probabilities are 0.109, 0.202, 0.106The expected number of births is 3

How to determine the probabilities?

The image that completes the question is added as an attachment

The probability of having her fourth live birth in that year?

From the attached graph, we have:

P(x) = 0.109 when x = 4

Hence, the probability is 0.109

The probability of having a live birth in her fourth or fifth live birth in that year?

From the attached graph, we have:

P(x) = 0.109 when x = 4

P(x) = 0.093 when x = 5

So, we have:

P(4 or 5) = 0.109 + 0.093

Evaluate

P(4 or 5) = 0.202

Hence, the probability is 0.202

The probability of having a live birth in her sixth or more live birth in that year?

This is represented as:

P(x >= 6)

From the attached graph, we have:

P(x) = 0.022 when x = 6

P(x) = 0.036 when x = 7

P(x) = 0.048 when x = 8

So, we have:

P(x >= 6) = 0.022 + 0.036 + 0.048

Evaluate

P(x >= 6) = 0.106

Hence, the probability is 0.106

How many live births would you expect the mother to have had?

This is calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

E(x) = 0.234 * 1 + 0.291 * 2 + 0.167 * 3 + 0.109 * 4 + 0.093 * 5 + 0.022 * 6 + 0.036 * 7 + 0.048 * 8

Evaluate

E(x) = 2.986

Approximate

E(x) = 3

Hence, the expected number of births is 3

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The Graph Of The Discrete Probability To The Right Representsthe Number Of Live Births By A Mother 40

Related Questions

Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.

coordinate plane showing the points 2, 10, point 3, 5, point 4, 2.5, and point 5, 1.25

a
an = 20(one half)n − 1; average rate of change is fifteen halves

b
an = 10(one half)n − 1; average rate of change is fifteen halves

c
an = 20(one half)n − 1; average rate of change is negative fifteen halves

d
an = 10(one half)n − 1; average rate of change is negative fifteen halves

Answers

The sequence based on the information would be: B. an = [tex]10 1/2^{-1}[/tex]average rate of change is negative fifteen halves.

How to explain the function

This question is about exponent function/series. You are given 3 points from the function, point A (1,10), point B( 2, 5), and point  C(4,1.25).  

If you insert point A to the function, an will give a result of 10 for n=1.

For n=0, the result would be:

an= 10([tex]1/2^{-1}[/tex])

= 10 * 2

= 20

Then the average rate of change from n=0 to n=2 would be:

Rate of change= (y₂ -y₁)/ (x₂ -x₁)

Rate of change= (5-20)/ (2-0)

= -15/2

= negative fifteen halves

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Write the equation of a line perpendicular to the one above that passes through (-2, 9). You may use either slope intercept or point slope form.

Answers

Answer:

-3x + 3

Step-by-step explanation:

To find the equation of a line perpendicular to the line passing through (-2, 1) and (4, 3), we need to determine the slope of the original line first. Then, we can use the negative reciprocal of that slope to find the slope of the perpendicular line. Finally, we can use the point-slope form to write the equation of the perpendicular line.

Step 1: Find the slope of the original line.

Slope (m) = (change in y) / (change in x)

m = (3 - 1) / (4 - (-2))

m = 2 / 6

m = 1/3

Step 2: Determine the slope of the perpendicular line.

The slope of the perpendicular line is the negative reciprocal of the original line's slope.

Perpendicular slope = -1 / (1/3)

Perpendicular slope = -3

Step 3: Use the point-slope form to write the equation.

The point-slope form is given by:

y - y1 = m(x - x1)

Using the point (-2, 9) and the perpendicular slope (-3), we can write the equation as:

y - 9 = -3(x - (-2))

y - 9 = -3(x + 2)

y - 9 = -3x - 6

y = -3x + 3

Therefore, the equation of the line perpendicular to the line passing through (-2, 1) and (4, 3) and passing through (-2, 9) is y = -3x + 3.

A kid's size small T-shirt is designed to fit children
who weigh between 43 and 55 pounds.
a. Write an inequality to describe w, the weight
of a child who has outgrown the small T-shirt.
9 √
b. Write an inequality to describe y, the weight
of a child who is not ready for the small T-shirt
yet.

Answers

A) The inequality that the weight of a child who has outgrown the small T-shirt is w > 55. B) The inequality that the weight of a child who is not ready for the small T-shirt yet. Is y < 43

How to determine the inequalities

a. To describe the weight (w) of a child who has outgrown the small T-shirt, we can use the inequality:

w > 55

This inequality states that the weight of a child (w) must be greater than 55 pounds for them to have outgrown the small T-shirt.

b. To describe the weight (y) of a child who is not ready for the small T-shirt yet, we can use the inequality:

y < 43

This inequality states that the weight of a child (y) must be less than 43 pounds for them to not be ready for the small T-shirt yet.

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solve for v, PV/T=pv/t

Answers

No matter the values of P, V, T, p, and t, as long as the equation PV/T = pv/t holds true, the solution for v is always equal to V.

To solve for v in the equation PV/T = pv/t, we can manipulate the equation to isolate v on one side.

Starting with the given equation:

PV/T = pv/t

To isolate v, we can cross-multiply:

PVt = pVt

Next, we divide both sides of the equation by pt:

V = v

Therefore, the solution is v = V.

In other words, v is equal to V, which means they represent the same values.

This implies that v and V are interchangeable and can be used interchangeably in the equation.

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Will give you brainly! :) Thank you for taking time out of your day to answer this!​

Answers

The probability values are P(30 ≤ Amount ≤ 59) = 0.43, P(Amount ≥ 60 or Amount < 30) = 0.57 and P(Amount ≥ 40) = 0.45

Calculating the probability values

At least $30 but not more than $59

This means that we use the money spent from 30 to 59

So, we have

30 to 59 = 76 + 58 + 67

30 to 59 = 201

Total = 85 + 98 + 201 + 84

Total = 468

Next, we have

P(30 ≤ Amount ≤ 59) = 201/468

P(30 ≤ Amount ≤ 59) = 0.43

At least $60 or less than $30

This means that we use the money spent less than 30 and greater than or equal to 60

So, we have

At least $60 or less than $30 = 84 + 85 + 98

At least $60 or less than $30 = 267

Next, we have

P(Amount ≥ 60 or Amount < 30) = 267/468

P(Amount ≥ 60 or Amount < 30) = 0.57

At least $40

This means that we use the money spent greater than or equal to 40

So, we have

At least $40 = 58 + 67 + 84

At least $40 = 209

Next, we have

P(Amount ≥ 40) = 209/468

P(Amount ≥ 40) = 0.45

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Cameron surveyed her friends about the number of apps they use. The responses were 15, 16, 18, 9, 18, 4, 19, 20, 17, and 36 apps. Use the range and interquartile range to describe how the data vary.

Answers

The middle half of the data values vary by:

Interquartile = [tex]Q_3-Q_1[/tex] =>  19.25 - 13.5 = 5.25

The given data is :

15, 16, 18, 9, 18, 4, 19, 20, 17, and 36 apps.

We have to find:

Use the range and interquartile range to describe how the data vary.

We have to arrange the data from smallest to largest.

4, 9, 15, 16, 17, 18, 18, 19, 20, 36

Range of the data is : Highest no. - lowest no.

Range of the data is: 36 - 4 = 32

The location of the [tex]Q_1[/tex] = (n + 1) × 0.25 (where n is the total no. in the data)

The location of the [tex]Q_1[/tex] = (10 + 1)  × 0.25 = 11  × 0.25 = 2.75

∴[tex]Q_1[/tex] = 15 × 0.75 + 9 × 0.25  = 13.5

The location of the [tex]Q_3[/tex] = (n + 1) × 0.75

The location of the [tex]Q_3[/tex] = 11 × 0.75 = 8.75

∴[tex]Q_3[/tex] = 19 × 0.75 + 20 × 0.25 = 19.25

Hence, The middle half of the data values vary by:

Interquartile = [tex]Q_3-Q_1[/tex] =>  19.25 - 13.5 = 5.25

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A telephone pole is 54 feet tall. A guy wire runs 83 feet, from point A at the top of the telephone pole, to the ground at point B. The base of the telephone pole is at point C. Triangle ABC is a right triangle.

How far from the base of the telephone pole, to the nearest tenth of a foot, is the guy wire secured to the ground at point B?

Answers

Okay, let's break this down step-by-step:

* The telephone pole is 54 feet tall

* The guy wire runs 83 feet from point A (top of pole) to point B (ground)

* So the hypotenuse (AB) of the right triangle is 83 feet

* The opposite side (AC) is 54 feet (height of pole)

To find the adjacent side (BC), we use the Pythagorean theorem:

a^2 + b^2 = c^2

54^2 + BC^2 = 83^2

Solving for BC gives:

BC = sqrt(83^2 - 54^2) = sqrt(1296 - 2916) = sqrt(1620) = 40 feet

So the guy wire is secured 40 feet from the base of the telephone pole.

Rounded to the nearest tenth is 40.0 feet.

Therefore, the final answer is:

40.0

Let me know if you have any other questions!

Could someone help me with this? I have to double check I’m right thank you

Answers

Solving linear equations using matrices involves steps ranging from creating an augmented matrix, performing row operations, back substitution, and then interpreting results

To solve a system of linear equations using matrices:

Step 1: Write the system of linear equations in matrix form.

Represent the coefficients of the variables as a matrix (called the coefficient matrix), and the constants on the right side of the equations as another matrix (called the constant matrix).

Step 2: Create the augmented matrix.

Combine the coefficient matrix and the constant matrix into a single matrix by appending the constant matrix as an additional column. This combined matrix is called the augmented matrix.

Step 3: Perform row operations to achieve row-echelon form.

Use row operations (swapping rows, multiplying a row by a constant, or adding/subtracting rows) to manipulate the augmented matrix into row-echelon form. Row-echelon form has zeroes below the diagonal and non-zero elements on the diagonal.

Step 4: Perform back-substitution.

Starting from the last row of the row-echelon form matrix, solve for the variables using back-substitution. Substitute the values of the variables you find into the previous rows to determine the remaining variable values.

Step 5: Interpret the results.

Once you have solved all the variables, you have found the solution to the system of linear equations. If there are infinitely many solutions or no solutions, this will be indicated by the row-echelon form.

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

5/4 = h/44, so h = 55

The height of the tree is 55 feet.

D is correct.

The product of a number and five added to 17

Answers

Answer:

The phrase "The product of a number and five added to 17" can be represented mathematically as:

5x + 17

In this expression, 'x' represents the unknown number. The product of the number and five is calculated by multiplying the number by 5, and then 17 is added to the result.

A researcher performed an experiment with two groups. She found the difference of the means for each group. Then
she combined the groups, chose two new groups, and found the difference between the means of those groups. She
repeated this process 200 times. The normal distribution of the difference in the means she found is given below. How
great would the difference in means between the first two groups have to be in order to be considered significant?
At least 8
O At least 10
At least 9
At least 7

Answers

Answer:

Step-by-step explanation:

To determine the significance level for the difference in means between the first two groups, we need to refer to the provided normal distribution. However, you haven't provided the details or parameters of the normal distribution, such as the mean and standard deviation. Without this information, it is not possible to determine the exact significance level required.

In hypothesis testing, the significance level, typically denoted as α (alpha), is chosen by the researcher before conducting the experiment. It represents the threshold at which the researcher considers the results to be statistically significant. Commonly used significance levels are 0.05 (5%) or 0.01 (1%).

Please provide the necessary parameters or more information about the normal distribution to determine the specific significance level for the difference in means between the first two groups.

b) Find the sum of all the numbers between 0 and 207 which are exactly divisible by 3.

Answers

27 and 9 are two numbers between 0 & 207 which are divisible with three and then their sum = 27+9=36

-49 = 7i, what number is the i.

Answers

Answer:

-7

Step-by-step explanation:

divide by 7 on both sides and you get i = -7

A popular brand has introduced a new design of jeans. All major stores have stocked the jeans because the brand usually sells very well. But the cost of these jeans is much higher than those of other brands, so people don't buy them.

Answers

The price of the jeans will decrease because supply is greater than demand hence the stores will sell them at discounted prices.

How do we calculate?

The store owners would be forced to cut pricing if the jeans weren't purchased at all or as frequently as the other brands. Either they choose that choice, return the goods if possible  or just toss the jeans away. It generally takes some trial and error to determine the proper price.

For instance, the owner may lower the price to $75 and test whether the 25% discount works or not if the jeans initially sell for $100 and nobody buys them for a week.

The price might remain there if people continue to buy and if not, the cost might decrease even further.

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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

From the relationship of AC bar ≅ BD bar, we can tell that ABCD is a rectangle.

How is this a rectangle ?

A quadrilateral with two sets of parallel sides is known as a parallelogram.

If ABCD is a parallelogram where AC and BD have equal lengths, then the opposite sides of ABCD are also equal. ABCD has two sets of sides that are parallel and have the same length.

The fact that ABCD possesses two sets of sides that are parallel and of equal length logically leads to the conclusion that it also has four angles that are right. One reason for this is that the angles opposite each other in a parallelogram are of equal measure, while the sum of the angles at each corner of a parallelogram is always 180 degrees.Therefore, ABCD is a rectangle.

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Help me please I need help asap

Answers

1. Area of the smaller circle is 100πcm²

2. Area of the bigger circle 800πcm²

How to determine the value

The formula for the circumference of a circle is expressed as;

Circumference = 2πr

Substitute the values, we get;

20π = 2πr

Divide by the coefficient of r, we get;

r = 10cm

Now, area of a circle is expressed as;

Area = πr²

Substitute the value of the radius

Area = π × 10²

Find the square

Area = 100πcm²

Area of the big circle = 8(area of the small circle)

substitute the values

Area of the big circle = 8(100π)

expand the bracket

Area of the big circle = 800 πcm²

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The algebraic expression below is a polynomial. x-1^k, where k is a real number

Answers

Answer: True

Step-by-step explanation:

Find the area of the composite figure

Answers

The area of the composite shape is 125units²

What is area of shape?

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A composite shape can be defines as a shape created with two or more basic shapes.

The composite shape can be divided into 2 equal squares and a rectangles.

Area of the square = l²

= 5× 5 = 25

For two squares it will be;

25 × 2

= 50 units²

area of the rectangle = l× w

where w is the width

A = 15 × 5

= 75 units²

Therefore the area of the composite shape = 50 + 75 = 125 units²

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5. [0.5/1 Points] DETAILS PREVIOUS ANSWERS SALGTRIG4 7.3.112.
A rectangle is to be inscribed in a semicircle of radius 4 cm as shown in the following figure.
10
4 cm-
(a) Find the function that models the area of the rectangle.
A(0) = 16 sin (20)
Need Help? Read It
MY NOTES
4
ASK YOUR TEACHER
(b) Find the largest possible area for such an inscribed rectangle. [Hint: Use the fact that sin(u) achieves its maximum value at u=/2.]
16
cm²
(c) Find the dimensions of the inscribed rectangle with the largest possible area. (Round your answers to two decimal places.)
smaller dimension 2
x cm
larger dimension 25
x cm
PR.

Answers

The Area function [tex]A(x) = 2x * \sqrt(16 - x^2).[/tex]

How to solve

(a) For a rectangle inscribed in a semicircle of radius 4 cm, let half-length be x and height be y.

Therefore, the Area function [tex]A(x) = 2x * \sqrt(16 - x^2).[/tex]

(b) Maximum area occurs when x = [tex]4 * sin(\pi/4), so A(4 * sin(\pi/4)) = 16 cm^2.[/tex]

(c) Dimensions for the largest inscribed rectangle are smaller dimension (height) ≈ of 2.83 cm, a larger dimension (base) ≈ of 5.66 cm.

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Please help due 5 min!!!!

Answers

The midsegments of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases

You roll a 6-sided number cube and toss a coin. Let event A = Toss a heads.

What outcomes are in event A?

What outcomes are in event AC?

Answers

1. Event A includes the outcomes of H and T,

2. while event AC includes all the possible outcomes of rolling a number cube, which are 1, 2, 3, 4, 5, and 6.

1. Event A is defined as tossing a heads on a coin, regardless of the outcome of rolling a number cube. Therefore, the outcomes in event A are H (heads) and T (tails), since either of these outcomes could occur when rolling a number cube and tossing a coin.

2. Event AC is the complement of event A, i.e., it is the set of outcomes that are not in event A. Since event A contains H and T, the outcomes in event AC are the remaining outcomes that are not in event A, which are all the possible outcomes when rolling a number cube: 1, 2, 3, 4, 5, and 6.

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Simplify > (x)3(−x3y)2

−x9y2

x5y2

−x6y2

x9y2

Answers

The simplified expression of the expression (x)³(−x³y)² is x⁹y²

Simplyfing the expression using the common factor

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

(x)3(−x3y)2

Express properly

So, we have

(x)³(−x³y)²

Open the brackets

(x)³(−x³y)² = x³ * x⁶y²

Multiply (x)³ and x⁶ in the expression

So, we have the following representation

(x)³(−x³y)² = x⁹y²

Hence, the simplified expression is x⁹y²

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1. Is there a right angle in the triangle shown by connecting the center of the earth, the
satellite & station 1? How do you know? *Assume that the line connecting the satellite
& station 1 is tangent to the earth*

Answers

The triangle shown in the figure formed by the line connecting the center of the Earth to the Station 1, the Station 1 to the Satellite, and the Satellite to the center of the Earth forms a right triangle.

What is a right triangle?

A right triangle is a triangle that has a 90 degrees interior angle.

The line joining the center of the Earth and Station 1 is perpendicular to the line connecting the Satellite to Station 1, because, the line connecting the Satellite to Station 1 is a tangent and tangents to a circle are perpendicular to a radius of the circle at the point of tangency.

The triangle formed by connecting the center of the Earth to the Station 1, and connecting the Satellite to Station 1, and connecting the Satellite to the center of the Earth forms a right triangle, because the angle formed by the line connecting the center of the Earth to Station 1, forms a right angle with the tangent from the Satellite to the Station 1

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which are true please help

Answers

Answer:

  All statements above are false

Step-by-step explanation:

You want to know which of the statements saying translation, rotation, and reflection change the measures of line segments or angles is true.

Rigid motion

Translation, rotation, and reflection are referred to as "rigid motion." That means all parts of the transformed figure keep their measures and positions relative to other parts of the figure. No lengths or angle measures are changed.

  All of the (above) listed statements are false.

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3.3.4√20+5-43 calculate ​

Answers

Here are the steps to calculate the expression √20 + 5 - 43 :

Step 1: Simplify the square root of 20:

[tex]\sqrt{20}[/tex]

Step 2: Calculate the value of the square root:

[tex]\sqrt{20} = 2\sqrt{5}[/tex]

Step 3: Substitute the value of the square root into the expression:

[tex]2\sqrt{5} + 5 - 43[/tex]

Step 4: Perform addition:

[tex]2\sqrt{5} + 5 = 2\sqrt{5} + \frac{5}{1} = \frac{2\sqrt{5} + 5}{1}[/tex]

Step 5: Perform subtraction:

[tex]\frac{2\sqrt{5} + 5}{1} - 43 = \frac{2\sqrt{5} + 5 - 43}{1}[/tex]

Step 6: Simplify the numerator:

[tex]\frac{2\sqrt{5} - 38}{1}[/tex]

Step 7: Simplify the expression:

[tex]2\sqrt{5} - 38[/tex]

Therefore, the calculation √20 + 5 - 43 simplifies to 2√5 - 38.

A triangle has side lengths of 2.83 meters, 4 meters, and 2.24 meters. The angles measure 45°, 63°, and 72°.

What type of triangle is this?

Answers

Answer:

ougylbhj,

Step-by-step explanation:

ulygkuyHold on, our servers are swamped. Wait for your answer to fully load

some help is required

Answers

54° is the value of the given angle BAC.

As we know that the arc and angles formed by intersecting chords,

θ = (α + β)/2    .....(i)

According to the given figure, we have

θ = 10x+4

α =9x-12

β = 12x +15

Substitute the value in equation (1)

10x+4 = (9x-12+12x +15)/2

20x+8 = 21x +3

x = 8-3

x = 5

Thus,

∠BAC = θ

= 10*5+4

= 50 + 4

=54

Therefore, the value of the given angle will be 54°.

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Three lines intersect to form six angles that measure in degrees in some of the angles are represented by expressions as shown in this. Based on the diagram write an algebraic equation that can be used to find the value of X show explain how you got your answer

Answers

1. The equation to be formed is 40 + 5x + 90 = 180

2. The value of x is 10

What is the sum of angles on a straight line?

A straight line's total angles are always 180 degrees. Around the place where two lines join, they create four angles. The total of the angles on either side of a straight line, if those lines are straight and form one, is always 180 degrees.

We know that;

40 + 5x + 90 = 180 (Sum of angles on a straight line)

130 + 5x = 180

5x = 180 - 130

x = 50/5

x = 10

Thus the value of x is given as 10

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b) tan 2A cot A-1 = sec 2A

Answers

The trigonometric equation is tan 2A cot A-1 = sec 2A

We have to prove the trigonometric equation

tan 2A cot A-1 = sec 2A

Now let us take LHS

tan 2A cot A-1  

2tanA/1-tan²A - 1 . cotA - 1

2-1+tan²A/1-tan²A

1+tan²A/1-tan²A

sec2A

Hence, the trigonometric equation is tan 2A cot A-1 = sec 2A

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Find area of the shape

Answers

Answer:

130.4

Step-by-step explanation:

6 x 14 = 84

8 x 4 = 32

(4 x 7.2)/2 = 14.4

Other Questions
you've decided to create a list of all of the words for names, events, and ideas that exist in the palauan language. which of the following are you creating?. a. focal. b. vocabulary c.paralanguage. d.syntax For his exercise today, bill plans to run and swim some laps. The table below shows how long ( in minutes) it takes him to run each lap and swim to each lap Let x and y have joint pdf fxy(x,y) = 12xy(1-x). Show that the support of (U,V) can be described by v >1 and 0 Can anyone help me i understand spanish but i struggle w this a lott HELP ASAP PLSSSSS HELP NOW What is the correct numerical expression for "9 times 4 added to the difference of 3 and 2?" 9 x 4 + (3 2) 9 x (4 + 3) 2 9 + (4 x 3) 2 9 2 x 4 + 3 Consider a perpetuity-immediate that pays 10 dollars for the first five years and and then pays 15 for all the following years. The atomic and molecular rms speeds of gases, Vrms, are usually quite large, even at low temperatures.What is Vrms, in meters per second, for helium atoms at 5.4 K (which is close to the point of liquefaction)? the notion that life continues after death multiple choice is one of the oldest human concepts. originated in egypt. is a relatively recent idea. originated in early greece. data used to build a data mining model is called _____. a. training data b. exploration data c. test data d. validation data -57-31/x+3 what is x Fatty acid degradation proceeds through repeated cycles of Boxidation with each cycle containing four reactions. Arrange the four enzymes that catalyze these reactions in order from first to last. 3-hydroxyacyl-COA dehydrogenase Acyl-CoA dehydrogenase B-ketoacyl-CoA thiolase Enoyl-CoA hydratase Essay on duties and responsibilities of A Timekeeper In the paragraph box below, type a sentence following the sentence pattern provided.subject-verb-direct object Find the limit of the sequence if it converges; otherwise indicate divergence.an= (ln n)^5/n after 75 years in business, abc corp. has decided it is time to overhaul its compensation system. what advice would you offer its hr manager? You are on the staff of Camden Inc. The CFO believes project acceptance should be based on the NPV, but Steve Camden, the president, insists that no project should be accepted unless its IRR exceeds the project's risk-adjusted WACC. Now you must make a recommendation on a project that has a cost of $15,000 and two cash flows: $110,000 at the end of Year 1 and $100,000 at the end of Year 2. The president and the CFO both agree that the appropriate WACC for this project is 10%. At 10%, the NPV is $2,355.37, but you find two IRRs, one at 6.33% and one at 527%, and a MIRr of 11.32%. Which of the following statements best describes your optimal recommendation, i.e., the analysis and recommendation is best for the company and least likely to get you in trouble with either the CFO or the president?a. You should recommend that the project be rejected because its NPV is negative and its IRR is less than the WACC.b. You should recommend that the project be rejected because, although its NPV is positive, it has an IRR that is less than the WACC.c. You should recommen that the project be accepted because (1) its NPV is positive and (2) although it has two IRRs, in this case it would be better to focus on the MIRR, which exceeds the WACC. You should explain this to the president and tell him that the firm's value will increase if the project is accepted.d. You should recommend that the project be rejected. Although its NPV is positive it has two IRRs, onoe of which is less than the WACC, which indicates that the firm's value will decline if the project is accepted.e. You should recommend that the project be rejected because, although its NPV is positive, its MIRR is less than the WACC, and that indicates that the firm's value will decline if it is accepted. if a firm's expected sales are $248,000 and its break-even sales are $189,000, the margin of safety in dollars is: multiple choice $189,000. $59,000. $437,000. $23,900. $248,000. a table that is in 1nf and contains no partial dependencies is said to be in . question 8 options: a) 1nf b) 3nf c) 4nf d) 2nf Answer the following questions a Find A b 3 whose eigenvalues are 1 and 4, and whose eigenvectors are *> respectively b Find B whose eigenvalues are 1 and 3 John is a 16yo boy who presents to the er after hurting his knee in a football game. he described twisting his knee and then being unable to extend it completely. john tells the clinician that he heard a pop when the injury occurred and has been experiencing localized pain. the clinician suspects a meniscal tear. which test would be most appropriate to assess for the presence of a meniscal tear?