Jorge has a box with different colors of tubes of paint. In the box, there are 7 tubes of blue paint, 4 tubes of red paint, 3 tubes of yellow paint and 6 tubes of green paint. Jorge selects a tube of paint at random. Which is more likely: selecting a tube of blue or yellow paint, OR selecting a tube of green or red paint?

Answers

Answer 1

The probability that  is more likely between selecting a tube of blue or yellow paint, OR selecting a tube of green or red paint id; Both are equally lilkely.

What is the probability of selection?

We are given;

Number of blue tubes = 7

Number of red tubes = 4

Number of yellow tubes = 3

Number of green tubes = 6

Thus;

Total number of painted tubes = 7 + 4 + 3 + 6 = 20

Probability of selecting a blue tube = 7/20

Probability of selecting a red tube = 4/20

Probability of selecting a yellow tube = 3/20

Probability of selecting a green tube = 6/20

Thus;

P(selecting a tube of blue or yellow paint) = (7/20) + (3/20) = 10/20

P(selecting a tube of green or red paint) = (6/20) + (4/20) = 10/20

Thus, they are equally likely.

Read more about probability of selection at; https://brainly.com/question/251701

#SPJ1


Related Questions

A work ladder can extend to 8 meters. How many centimeters is that? How many kilometers is that? Use 1000 m) unit analysis to solve this conversion problem (1 km ==​

Answers

Answer:

8m = 800cm

8m = 0.008km

Step-by-step explanation:

1 kilometer is 1000 meters

1 meter is 100 centimeters

You'd only have to multiply in the first one:

[tex]8 \times 100 = 800[/tex]

8m = 800cm

Remember that when multiplying by 100 you only have to add zeros.

For km, as it is bigger than m you have to divide by 1000, when dividing this time you only have to carry an imaginary point starting from right to left, the amount of zeros there are:

[tex]8. \\ .8 \\ .08 \\ .008 \\ 8 \div 1000 = .008[/tex]

8m = 0.008km

If you run out of numbers when carrying the point, just add zeros.

Solve this problem and explain how you did it. Hurry, it's due by Sunday at 11:59 pm!

Answers

Answer: m<a 57 degrees

Step-by-step explanation:

All of the angles are the same and equal, so all angles are 57 degrees. Including m<a

A recipe calls for 3/2 cups of flour. You only have a 1/2 cup measuring cup. What fraction of a cup of flour, in halves, do you need?

Answers

To obtain an amount of 3 / 2 cups of flour, then we need three halves of cup by means of a 1 / 2 cup measuring cup.

How many cups are needed to get the require amount of flour

In this problem we have the case of recipe that requires 3 / 2 cups of flour in terms of certain number of measuring cups with an amount of 1 / 2 cups. The number of measuring cups (n) is equal to the total required by the recipe (M) divided by the amount of the measuring cup (m), both in cups. That is:

n = M / m

If we know that m = 1 / 2 cup and M = 3 / 2 cup, then the number of measuring cups is:

n = (3 / 2 cup) / (1 / 2 cup)

n = 3

In other words, we need 3 halves of a cup of flour to obtain the required amount of 3 / 2 cups.

To learn more on fractions: https://brainly.com/question/12220774

#SPJ1


Express the radical using the imaginary unit, i.
Express your answer in simplified form.
+√-16 = ±

Answers

The answer is 4i.
Since the square root of negative 16 is 4i, and then outside is positive. It is just 4i.


help with example 4!!! first answer gets brainliest

Answers

Answer:

Assuming angle 1 is 75º.

1 -> 75

2 -> 105

3 -> 75

4 -> 105

5 -> 75

6 -> 105

7 -> 75

8 -> 105

which of the following are possible rational roots of the polynomial function
check all that apply
F(x)=2x^2-3x+7

a.+_2
b.+_1/2
c.+_1
d.+_1/7
e.+_7

help me

Answers

±1/2, ±1, ±7 are the possible rational roots of the polynomial function.

What is the rational root theorem?

The rational root theorem, also known as the rational root test, is an algebraic theorem that states that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, both the constant term (the term without a variable) and the leading coefficient (the coefficient of the highest power) must be divisible by the fraction's denominator.

An anXn+ an− 1xn − 1 + … + a1x1 + a0 = 0  is a polynomial equation in one variable (x), where a0, a1,..., and an are regular integers. Therefore, q must divide a and p must divide a0 for a polynomial equation to have a rational solution, p/q.

It is given in the question,

F(x)=2x^2-3x+7

Here, p is a 7-fold factor.

p, thus, might have a value of 1, -1, 7, or -7.

and q is a two-fold factor.

Thus, q might have a value of 1, -1, 2, or -2.

Hence, ±1/2, ±1, ±7 are the possible rational roots of the polynomial function.

To learn more about rational root theorem refer to:

https://brainly.com/question/17754398

#SPJ1

A box has length of 6 feet width of 7 feet and a height of 4 inches

Answers

Answer: 168in^3

Step-by-step explanation:

6 x 7 x 4 = 168

For each value of u, determine whether it is a solution to 9u-7≥65.

Answers

Move constant
9u>=65+7
9u>=72

U>=9

Brainly pls

HELP ME ASAP!!!!!!!!

Answers

Answer:

The lie is #3

Step-by-step explanation:

The only way to solve this is by testing each equation to see if it's true. Remember that dividing powers with the same base, in this case b, means you're just subtracting the exponents.

Substituting 5 for y in #1 gives us the equation [tex]\frac{b^9}{b^5}=b^4[/tex]. This is the same as saying [tex]b^9^-^5=b^4[/tex], which is true.

Substituting 7 for z and 2 for x in #2 gives us [tex]\frac{b^7}{b^2}=b^5[/tex]. Like we did for the first one, this is the same as [tex]b^7^-^2=b^5[/tex], which is also true.

That means that #3 is a lie, but substituting 2 for x anyway gives us [tex]\frac{b^8}{b^2}=b^8[/tex], or [tex]b^8^-^2=b^8[/tex]. This is not a true statement, and x would have to equal 0 for this to be true.

Below are two parallel lines with a third line intersecting them.
x =
136

Answers

X=136 because 136 and x are corresponding angles

Find the coordinate using the subtraction method
-2x+9y=-9
-3x+5y=12

Answers

The co-ordinates will be(x,y) by the given equation the co-ordinates (9,1).

How to co-ordinate using subtraction method?

The technique of subtracting one vector's coordinates from another vector's coordinates is known as vector subtraction.Addition is represented by travelling up the -axis and to the right on the -axis. Subtraction is represented by going left and down the -axis. Since we are travelling below, we can deduct from our coordinate point, and since we are heading rightward, we can add to it.

So, the given equations are

-2x+9y=-9  ⇒ (i)

-3x+5y=12  ⇒ (ii)

(i) * 5 ⇒ -10x + 45y = -45

(ii) * 9 ⇒ -27x + 45y = 108

⇒ 17x =  153

x = 9

Now, substitute x=9 in equation (i)

-2(9) + 9y = -9

-18 + 9y = -9

9y = -9 + 18

y = 9/9

y = 1

Hence, the co-ordinates will be(x,y) by the given equation the co-ordinates (9,1).

To know more about co-ordinates check the below link:

https://brainly.com/question/17206319

#SPJ1


QUICKKKKK!!

Graph the image of the figure using the transformation given.

91) translation: (x, y) →(x+3, y-5)

92.) translation: (x,y) →(x,y -2)

93) reflection across x = -2

94.) reflect across y = 1

95) rotation 180° about the origin

96) rotation 90° counterclockwise about the
origin


I’ll give you all the points just helppppp me outttt!!

Answers

To graph the image of a figure using a transformation, we can follow the steps below:

Identify the points on the original figure.
Apply the transformation to each point to find the corresponding point on the image.
Connect the points on the image to form the image of the figure.
Here are the steps for each of the transformations you listed:

translation: (x, y) →(x+3, y-5)
To perform this transformation, we need to shift each point 3 units to the right and 5 units down. For example, if the original figure has a point at (1, 2), the image of that point would be at (1+3, 2-5) = (4, -3).

92.) translation: (x,y) →(x,y -2)

To perform this transformation, we need to shift each point 2 units down. For example, if the original figure has a point at (1, 2), the image of that point would be at (1, 2-2) = (1, 0).

reflection across x = -2
To reflect a figure across the line x = -2, we need to negate the y-coordinates of each point. For example, if the original figure has a point at (1, 2), the image of that point would be at (1, -2).

94.) reflect across y = 1

To reflect a figure across the line y = 1, we need to negate the x-coordinates of each point. For example, if the original figure has a point at (1, 2), the image of that point would be at (-1, 2).

rotation 180° about the origin
To rotate a figure 180° about the origin, we need to negate both the x- and y-coordinates of each point. For example, if the original figure has a point at (1, 2), the image of that point would be at (-1, -2).

rotation 90° counterclockwise about the origin
To rotate a figure 90° counterclockwise about the origin, we need to swap the x- and y-coordinates of each point and negate one of them. For example, if the original figure has a point at (1, 2), the image of that point would be at (-2, 1).

I hope this helps! If you provide the points on the original figure, I can help you graph the image for each of the transformations.

The image after the transformations of rotation, translation or reflection can be found by certain operation or rotation.

We can find how to know the image of certain figures after the given transformations are done.

91) Here it is translation.

x coordinates are shifted to right by 3 units and y coordinates are shifted to  down by 5 units.

So the entire graph will be shifted to right by 3 units and down by 5 units.

92) Here, the translation is by not shifting the x coordinates and shifting the y coordinates 2 units to the down.

So the entire graph will be shifted to down by 2 units.

93) When a graph is reflected across x = -2, then the graph is moved horizontally such that the original figure and the image will be at the same distance from x = -2.

94) When a graph is reflected across y = 1, then the graph is moved vertically such that the original figure and the image will be at the same distance from y = 1.

95) When a graph is rotated about the origin 180°, if it is clockwise or anticlockwise, each of the coordinates (x, y) in the graph will become (-x, -y).

96) If the rotation is 90° counterclockwise about the origin, the coordinates (x, y) in the original graph becomes (-y, x).

Learn more about Transformations here :

https://brainly.com/question/11709244

#SPJ6

Omar is constructing equilateral triangle ABC. Using a compass and a straightedge, he need to copy AB to

form the other two sides of the triangle. He sets the compass width to AB and draws two arcs from A as shown.

Points A and B with identical construction marks as parts of a circle with center point A.

After plotting point C, he will draw three line segments to connect points A, B, and C. What steps should he follow to plot point C?


Without changing the compass width, draw an arc from B to intersect the other arc, and plot point C.


Without changing the compass width, draw an arc from B, and plot point C on the new arc.


Increase the compass width, draw an arc from B to intersect the other arc, and plot point C.


Increase the compass width, draw an arc from B, and plot point C on the new arc.

Answers

An equilateral triangle is a triangle that has three equal-length sides, commonly referred to as a "regular" triangle.

What is the equilateral triangle?When all three sides of a triangle are equal, the triangle is said to be equilateral. The third side is likewise equal in this unique instance of an isosceles triangle. A triangle with the sides AB, BC, and CA is equilateral.An equilateral triangle is a triangle whose three sides are all the same length, also referred to as a "regular" triangle. An isosceles triangle with three equal sides is called an equilateral triangle. It is a special case of an isosceles triangle.An equilateral triangle in geometry is a triangle whose sides are all of the same length. Since the three sides are equal, the three angles that are opposite the equal sides are also equal.

Find the attachment answer

Learn more about equilateral triangle refer to :

https://brainly.com/question/17264112

#SPJ1

Find the value of the variable. Type your number answer into box. (This is the same picture as #5.)

the answer to 5 was 1.67

Answers

Answer:

x = 21

Step-by-step explanation:

[tex]\frac{x}{9}[/tex] = [tex]\frac{35}{15}[/tex]

[tex]\frac{35}{15}[/tex] can be simplified to [tex]\frac{7}{3}[/tex] if we divide the numerator and denominator by 5

[tex]\frac{x}{9}[/tex] = [tex]\frac{7}{3}[/tex]  cross multiply and solve for x

3x = 63  Divide both sides by 3

x = 21

On the Dell River, a boat will pass the Colby drawbridge and then the Wave drawbridge. Rename each of the two drawbridge opening times. There are 60 minutes in an hour so use 60 as a common denominator. Then rename each opening time using another common denominator. Explain how you found your answers

Answers

Because we know that the common denominator is 60 then 3/4 of an hour is 45mins then 1/6 of an hour is 10.

Given,

In the question:

There are 60 minutes in an hour so use 60 as a common denominator. Then rename each opening time using another common denominator.

Explain how you found your answer.

Now, According to the question:

There are 60 min in an hour

and, 60 as a common denominator.

So, 45/60 and 10/60

Explanation: Because we know that the common denominator is 60 then 3/4 of an hour is 45mins then 1/6 of an hour is 10.

Learn more about Common Denominator at:

https://brainly.com/question/16231761

#SPJ4

Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A.
Select all of the measurement pairs that could be the dimensions of Rectangle B.

4.5 inches by 1.5 inches
8 inches by 2 inches
10 inches by 4 inches
13.5 inches by 4.5 inches
90 inches by 30 inches

Answers

Answer:32

Step-by-step explanation:

In art, what is the difference between symmetry and balance?

Answers

This should probably go in the ART section of Brainly, it may be confusing to people like me, who only have math on here :]

Balance is the use of even elements in a work of art, while symmetry is a type of balance, where parts of the image are mirrored.

Hope this helps,

:]

The figure shows two parallel lines cut by a transversal what is the value of x

Answers

The value of.x will be 20 and the angles will each have a value of 90 degrees.

What are angles?

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "opening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

Angles are used by engineers and architects to create highways, structures, and sports venues.

Hence, The value of.x will be 20 and the angles will each have a value of 90 degrees.

learn more about angles click here:

https://brainly.com/question/25716982

#SPJ1

a restaurant wants to gather data about a new dish by giving out free samples and asking for feedback. who should the restaurant give samples to? 1 point all diners diners who are willing to pay for the samples 80% of diners diners who spend the most money on their meal

Answers

The correct option regarding who should the restaurant give samples to generate a representative sample is given as follows:

All diners diners who are willing to pay for the samples.

What is sampling?

Sampling is a technique for when a group of elements from a population is taken to represent the entire population.

This group of elements has to be representative of the entire population, as to lead to correct conclusions.

In this problem, all the dinners who are willing to pay for the samples should be sampled, as if they are willing to pay, it means that they are interested in the new dish, hence their opinions should be considered as it would improve the restaurant's revenue with the new dish.

More can be learned about sampling at https://brainly.com/question/9910540

#SPJ1

which exspression shows 50+30 written as a product of two ffactors

Answers

Hey, sorry if I mixed up some words I had just broke my wrist yesterday...

Now, 50 Can be written as five, multiplied by 30 can be written as three multiplied by 10. So 50 unless 30 that's equal to five, multiplied by 10 plus three, multiplied by 10. here 10 is a common factor. So this equals 10 multiplied by the sum of five and three.

question is attached

Answers

Answer:

56

Step-by-step explanation:

Top line:

100% - 80% = 20%

20% of 60 = 0.2 × 60 = 12

Small piece on top is 12.

Second line:

Small piece is 12.

100% - 60% = 40%

Small piece is also 40%.

40% of x = 12

0.4x = 12

x = 12/0.4

x = 30

The entire second line is 30.

60% of 30 = 0.6 × 30 = 18

60% of second line is 18.

Third line:

30% of third line = 18

100% - 30% = 70%

30/18 = 70/x

30x = 18 × 70

x = 42

Larger part of third line is 42.

Fourth line:

75% of 4th line is 42.

100/x = 75/42

75x = 100 × 42

x = 56

Answer: 56

P---> P' (2,-4) for (x,y) ---> (x-3, y-3) and reflection line y=x Find the coordinates of P

Answers

The coordinates of P' after the transformation are (-1, 1)

How to determine the coordinates that describe the transformation of P?

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

Point P' = (2, -4)

This point can be represented as

(x, y) =  (2, -4)

Also, from the question, we have the transformation to be:

(x-3, y-3) and reflection line y=x

Mathematically, this can be expressed as

(x, y) = (y - 3, x - 3)

So, we have

Point P' = (2, -4)

This means that

y -3 = 2

x - 3 = -4

Evaluate

y = 1

x = -1

Hence, the point P after transformation is (-1, 1)

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Fill in the blank. (Please help) ​

Answers

Answer: Table

Step-by-step explanation: Hope you find it helpful!

What is the value of t?

Answers

Answer: t = 37.8 degree

Step-by-step explanation:

We know that a circle has 360 degrees, this is half a circle, so it total is 180 degrees.

We add 63.7 with 78.7 = 142.4 degree

Take 180 - 142.2 = 37.8 degree

which point is not on the graph of 5x+6y=-42

Answers

The slope is m = RISE / RUN, and the change in y is frequently referred to as "RISE."

Step-by-step explanation:

[tex]5*x-6*y-(42)=0[/tex]

Tiger understands that this is a straight line equation. Typically, this equation is expressed as y=mx+b (or "y=mx+c" in the UK).

A straight line drawn using the Cartesian coordinate system has the formula "y=mx+b," where "y" denotes the vertical axis and "x" denotes the horizontal axis.

In this equation, y represents how high the line rises, x represents how far it travels along, m represents the slope or gradient, or how steep the line is, and b represents the Y-intercept, or the point at which the line crosses the Y axis.

The X, Y, and slope are collectively referred to as the line properties. We will now plot the line 5x-6y-42 = 0 and determine its characteristics.

x = 0 the value of y is 7/-1 so this line "cuts" the y axis at y=-7.00000

y-intercept = 42/-6 = 7/-1  = -7.00000

y = 0 the value of x is 42/5 Our line therefore "cuts" the x axis at x= 8.40000

x-intercept = 42/5  =  8.40000

 Slope = 1.667/2.000 = 0.833  x-intercept = 42/5 = 8.40000  y-intercept = 42/-6 = 7/-1 = -7.00000

To learn more about 5x+6y=-42 refer to:

https://brainly.com/question/15280009

#SPJ1

what is 1-1/3 pls help me

Answers

Answer:

2/3

Step-by-step explanation:

1-1/3 is the same that   3/3 - 1/3

3/3 - 1/3 = 2/3

--------------------

Answers

Answer:

-------------------

Step-by-step explanation:

5. What are the real and complex solutions of the polynomial equation? (1 point)
x^3-8=0
01+i3, and 1-i√√3
O2,-1+13, and-1-i√√3
O2, 1+2i √√3, and 1-2i √√3
02, 2+2i √√3, and 2-2i

Answers

Given polynomial equation x3 - 8 = 0

x3-8 is a cubic polynomial is in the form a3 - b3 = (a - b)(a2 + ab + b2)

x3 - 23 = (x - 2)(x2 + 2x + 4)

One root is 2

x2 + 2x + 4 = 0

x = -b ± √(b2 - 4ac) / 2a

x = -2 ± √22 - 4(4) /2

x = -2 ± √4 - 16 /2

x = -2 ± √-12 /2

x = -1 ± √3i

Therefore, x = 2, -1 ±√3i

To learn more about  polynomial equation  visit:

https://brainly.com/question/25958000

#SPJ1

Given,

polynomial equation x3 - 8 = 0

x3-8 is a cubic polynomial is in the form a3 - b3 = (a - b)(a2 + ab + b2)

x3 - 23 = (x - 2)(x2 + 2x + 4)

One root is 2

x2 + 2x + 4 = 0

x = -b ± √(b2 - 4ac) / 2

x = -2 ± √22 - 4(4) /2

x = -2 ± √4 - 16 /2

x = -2 ± √-12 /2

x = -1 ± √3i

Therefore, x = 2, -1 ±√3i

To learn more about polynomial equation  visit:

https://brainly.com/question/13053190

#SPJ1

What is the range of the function f(x) = -2(x+1)-2, when the domain is {-5, 0, 5}?
A {-5,0,5}
B {-11,-1,9}
C {-14,-4,6}
D {-10, 0, 10}

Answers

Answer: D

Step-by-step explanation:

To find the range, substitute each element in the domain into the function.

[tex]f(-5)=-2(-5+1)-2=-10\\\\f(0)=-2(0+1)-2=0\\\\f(5)=-2(5+1)-2=10[/tex]

Which is g(x)? In this question

Answers

The equation of the transformed function is (c) g(x) = 4(1/3x)²

How to describe the transformation from the parent function?

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

f(x) = x²

g(x) = horizontally shrunk of f(x) by a factor 1/3 and vertical stretch by a factor of 4

The above equations implies that, we have the transformation to be:

Horizontally shrunk of f(x)Vertical stretch by a factor of 4

Mathematically, this can be represented as

g(x) = 4f(1/3x)

Substitute the known values in the above equation, so, we have the following representation

g(x) = 4(1/3x)²

Hence, the transformed function si g(x) = 4(1/3x)²

Read more about transformation at

brainly.com/question/27224272

#SPJ1

Other Questions
which statement might the nurse make to nursing assistive personnel (nap) before delegating the collection of a routine urine sample from a patient with an indwelling urinary catheter? Which it profession is directly responsible for the smooth operations and maintenance of the business networks?. Which statements describe acceleration? Check all that apply. Negative acceleration occurs when an object slows down in the positive direction. Negative acceleration occurs when an object slows down in the negative direction. Negative acceleration occurs when an object speeds up in the negative direction. Positive acceleration occurs when an object speeds up in the positive direction. Positive acceleration occurs when an object speeds up in the negative direction. Positive acceleration occurs when an object slows down in the negative direction. As a result of Reagan's economic policies,1) The gap between rich and poor was narrowed2) The federal government would begin to operate under huge yearly deficits3) The federal debt was practically eliminated4) The number of Americans living in poverty reached its lowest point in over a decade What do you press to stop a program that is running in the Scratch Run window? A. red square B. red hexagon C. red circle D. red stop sign Ayaan doesnt like the way that a particular game ended. She feels disappointed and frustrated. What did Ayaan not like about the game? A. the objective B. the outcome C. the rules D. the control method Use Pythagoras' theorem to work out the length ofthe side AD in the rectangle below.Give your answer in centimetres to 2 d.p.BA6.3 cm4 cmD Calculate the kinetic energy of the cart at the point shown below. It has a mass of 0.5 kg, is 2.0 m high, and is moving at a velocity of 1.5 m/s. Round your answer to the hundredths place (two the decimal places). Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 25, 11, 12, 27,26, 22, 8,5. Use Table 2. a. Calculate the sample mean and the sample standard deviation. (Round intermediate calculations to 4 decimal places. Round "Sample mean" to 3 decimal places and "Sample standard deviation" to 2 decimal places.) Sample mean 17.000Sample standard deviation 79.42 b. Construct the 95% confidence interval for the population mean (Round "t" value to 3 decimal places and final answers to 2 decimal places.) Confidence interval 83.41 to -49.418 c. Construct the 90% confidence interval for the population mean. (Round "t" value to 3 decimal places and final answers to 2 decimal places.)Confidence interval 70.21 to -36.218 d, what happens to the margin of error as the confidence level increases from 95% to 90%?as the confidence level increases, the margin of error becomes smaller whats the absoulte value of the equation 7 - 12look on the image its in number 3 Please help Find the angles:Arc QR = Arc RS = QPS = PSR = SRQ = Alan travel 8 2/3 kilometer to get to chool. He ran 1 10/11 kilometer and walked the ret. How many kilometer were left to walk? How did the classical civilization of Rome develop? Describe some aspects of its culture. Alvarado Company produced 8,000 units of product that required 7.5 standard direct labor hours per unit. The standard fixed overhead cost per unit is $2.00 per direct labor hour at 55,000 hours, which is 100% of normal capacity. Determine the fixed factory overhead volume variance. Enter a favorable variance as a negative number using a minus sign and an unfavorable variance as a positive number. I have found a small piece of rock that I believed is actually gold. The density of gold is 19.3 g/cc. Is there a way that I could find the density of the piece of rock I found? How would I find the density? 18. Find the total length of segment A E. A clothing company has 4,630 shirts to ship. It can fit 130 shirts in a shipping box .How many boxes are to ship all the shirts? when your employees receive work assignments based on who has the lowest opportunity cost in performing each task, the basis for the work assignments is a zero-coupon bond with face value $1,000 and maturity of four years sells for $743.22. required: a. what is its yield to maturity? (round your answer to 2 decimal places.) determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral triangle. check all that apply