A bag contains 16 red, 15 blue, and 14 yellow balls. 2 balls are drawn without
replacement. Find the probability that:
a. Blue, then yellow is selected


b. Red, then red is selected

Answers

Answer 1

\(16+15+14=45\) - the total number of balls

\(|\Omega|=45\cdot44=1980\)

a)

\(A\) - blue, then yellow is selected

\(|A|=15\cdot14=210\\\\P(A)=\dfrac{210}{1980}=\dfrac{7}{66}\approx10.6\%\)

b)

 A - red, then red is selected

\(|A|=16\cdot15=240\\\\P(A)=\dfrac{240}{1980}=\dfrac{4}{33}\approx12.1\%\)


Related Questions

HELP ASAP PHOTO INCLUDED


HELP ASAP PHOTO INCLUDED

Answers

The volume of the cylindrical shaped pool with water is V = 75.4 feet³

Given data ,

Let the diameter of the pool be d = 8 feet

So , radius r = 4 feet

And , the height of the cylindrical pool is h = 3 feet

Now , the water is half full

So , Volume of Cylindrical pool is V = ( 1/2 ) πr²h

V = ( 1/2 ) ( 3.14 ) ( 4 )² ( 3 )

On simplifying , we get

V = 75.4 feet³

Hence , the amount of water in pool is V = 75.4 feet³

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Quadrilateral EFGH is an isosceles trapezoid with bases EH and FG. The measure of angle HGF is (9y + 3)°, and the measure of angle EFG is (8y + 5)°. What is the measure of angle HGF?

Answers

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

Final answer:

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

Explanation:

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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find the surface area of the regular hexgonal prism. ​

find the surface area of the regular hexgonal prism.

Answers

Check the picture below.

so the hexagonal prism is really just a hexagon with six 8x27 rectangles, let's simply get the area of all and sum them up.

\(\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap ~~ \begin{cases} p=perimeter\\ a=apothem\\[-0.5em] \hrulefill\\ p=\stackrel{8\times 6}{48}\\ a=6.9 \end{cases}\implies A=\cfrac{1}{2}(6.9)(48)\implies A=165.6 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{six rectangles} }{(6)(8)(27)}~~ + ~~\stackrel{ \textit{hexgonal face} }{165.6}}\implies 1296+165.6\implies \text{\LARGE 1461.6}~in^2\)

find the surface area of the regular hexgonal prism.

70 points!!!!!!!!!!
Rewrite y=2(1.06)9t in the form y=a(1+r)t or y=a(1−r)t to determine whether it represents exponential growth or exponential decay. Round a and r to the nearest hundredth if necessary.

Answers

The function is an exponential growth function

How to determine the type of the function

The function is given as

y=2(1.06)^9

We can begin by rewriting the given equation as:

y = 2 * 1.06t

So, we have

y = 2 * (1 + 0.06)^t

Now we can see that the equation is in the form y = a*b^t,

where a = 2 and b = 1.06^9

This equation represents exponential growth because the base of the exponent, b = 1.06, is greater than 1.

We can re-write it in the form y = a(1+r)t,

we can find the value of r by subtracting 1 from 1.06 which is 0.06 and the value of a is 2.

so we have y = 2(1+0.06)^t

So, the equation represents exponential growth with a = 2 and r = 0.06

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Find the equation of the line in slope-intercept form through (6, 1) and perpendicular to Y= 3 / 2 X + 1/4

Answers

The general form of the equation of a line in slope intercept is y = mx+b where m is the slope and b is the intercept. To find the equation, we simply need to find the values of m and b.

Have in mind that if we have two lines y = mx+b and y = dx+e, we say that two lines are perpendicular if the product of their slopes is -1. That is

\(m\cdot d\text{ = -1}\)

We are given the line y = (3/2)x+(1/4). For this line, the slope is (3/2). Since we want that our line y =mx+b is perpendicular to the given line, it must happen that

\(m\cdot(\frac{3}{2})\text{ = -1}\)

If we multiply by 2 on both sides and then divide by 3, we get

\(m\text{ = -1}\cdot\frac{2}{3}=-\frac{2}{3}\)

So far, we have the equation of our line to be y = (-2/3)x+b. We are given that this line passes through the point (6,1). This means that in this equation, if we replace x by 6, then we get y=1. This leads to the equation

\(1=(-\frac{2}{3})\cdot6+b\text{ = -2}\cdot2+b\text{ = -4+b}\)

So, if we add 4 on both sides, we get

\(b\text{ = 1+4 = 5}\)

So the equation of our line is y = (-2/3)*x + 5.

write 145,567 in expanded notation​

Answers

Answer:

100000+45000+500+60+7

Find the surface area of each prism. Round to the nearest tenth if necessary while doing your calculations as well as in your final answer. 360 units2 586 units2 456 units2 552 units2

Find the surface area of each prism. Round to the nearest tenth if necessary while doing your calculations

Answers

Answer:

correct answer is 456 sq units.

Step-by-step explanation:

Let us have a look at the formula for Surface Area of a prism:

\(A =p \times h+2 \times B\)

Where p is the perimeter of base

h is the height of prism

and B is the base area of prism.

Given that:

h = 7.5 units

Hypotenuse of prism's base = 20 units

One of the Other sides = 12  units

Pythagorean theorem can be used to find the 3rd side of right angled base.

Square of hypotenuse = Sum of squares of other two sides

\(20^2=12^2+side^2\\\Rightarrow 400=144+side^2\\\Rightarrow side =\sqrt{256}\\\Rightarrow side =16\ units\)

Area of base = area of right angled triangle:

\(B = \dfrac{1}{2} \times \text{Base Length} \times \text{Perpendicular Length}\\\Rightarrow B = \dfrac{1}{2} \times 16\times 12 = 96\ sq\ units\)

Perimeter \(\times\) height = (12+20+16) \(\times\) 7.5 = (48) \(\times\) 7.5 = 360 sq units

Now putting the values in formula:

Surface area, A = 360+96 = 456 sq units

So, correct answer is 456 sq units.

Suppose ^θ1 and ^θ2 are two unbiased estimators for θ and that ^θ2 is more efficient than ^θ1. (a) Is ^θ3=^θ1+^θ22 unbiased?
(b) Suppose Var(^θ1)=Var(^θ2) and that Cov(^θ1, ^θ2)=0. Then is ^θ3 more efficient than ^θ1 and ^θ2?
(c) Suppose Var(^θ1)

Answers

Unbiased estimators are statistical estimators that give an estimate of a population parameter that is equal to the true population parameter on average, regardless of the sample size.

The analysis suggests that the process Î 3 is more efficient than Î 1 and Î 2 when considered separately. However, when combined, the processes Î 1/2 and Î 2/2 are less efficient.

(a) To find out if Î 3=Î 1+Î 22 is unbiased, we must compute its anticipated value and contrast it with Î.

If Î 1 and Î 2 are unrelated and unbiased, E(Î 3) = E(Î 1 + Î 22) = E(Î 1) + E(Î 22) = Î + Î = 2Î

E(Î3) is biased as it does not equal Î.

(b) The formula for the variance of a linear combination of random variables can be used to assess if Î3 is more effective than Î1 and Î2.

Var(Î 3) is equal to Var(Î 1) plus 2Cov(Î 1, Î 2) plus Var(Î 2)/4.

Var(Î 1) = Var(Î 2) and Cov(Î 1, Î 2) = 0 result in:

Var(^θ3) = 5/4

Var(^θ1)

Var(Î 1) > 4/5Var(Î ), meaning that Î 3 is more effective than Î 1 and Î 2. If not, Î1 is more effective.

(c) If Var(Î1|Î2|Î3] Var(Î1|Î3]), then Î2 is more effective than Î1. Assume that Î1 and Î2 are equal and that Var(Î1) Var(Î2) independent. To calculate the variance of Î3, we can use the following formula for the variance of a linear combination of random variables:

As Î1 and Î2 are independent, Var(Î 3) = Var(Î 1) + 2Cov(Î1, Î2) + Var(Î2)/4 = Var(Î1) + 0 + Var(Î2)/4.

Var(Î 1) + Var(Î 2) = 4 and (Var(Î 1) + Var(Î 2)) = 2

As a result, Ï 3 is more effective than Î 1 and Î 2 taken separately, but not as effective as Î 2/2 and Î 1/2 taken together.

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Venessa bought 80 apples for 4$.out of these apples 25 precent were rotten and had to be thrown away Vanessa sold the remaining apples at 6 cents per apple. What is the profit or loss percentage

Answers

The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

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Caroline was thinking of a number. Caroline subtracts 2.9 from the number and gets an answer of 2.9. Form an equation with x

Answers

Answer:

let the thought no be x

then, ×-2.9=2.9

or,x=2.9+2.9

or,x=5.8

Mark be as brainlist plz

Ali used 2/7 of a foot of ribbon to attach a decoration to his rearview mirror. Now, he has 10/21​ of a foot of ribbon left.

QUESTION: How much ribbon did Ali start with?

Answers

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

What are mathematical operations?

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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Help for college scholarships! Must be a paragraph.

How has your family background affected the way you see the world?

Answers

Family background refers to the culture and tradition of the family into which a person is born.

What is family background?

Family background refers to the culture and tradition of the family into which a person is born. it is worthy of note that most of this family traditions are unspoken yet are firmly entrenched in the psyche of individual as he/she grows.

My family is strictly conservative having  had a Southern Baptist orientation. My dad believes deeply in  religion and a moralist and perfectionist.

As a  result of this, I find myself always grappling with the unfortunate disorder in the world; always trying to bring order to my world as much as I can.

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log₂ 16? What is the answer

Answers

Answer:

4 is the correct answer to your question

answer:4
explanation: 2^?= 16
2^4=16

Which of the following equations have exactly one solution?
Choose all answers that apply:
Α.
2x - 31 = 2x - 31

B
2x – 31 = -2x - 31

C
2x + 31 = 2x - 31

D
2x - 2 = 2x - 31

Which of the following equations have exactly one solution?Choose all answers that apply:.2x - 31 = 2x

Answers

Answer:

Step-by-step explanation:

We need to find which of the equations has exactly one solution.

We will solve all options and check our results

A.  

Solving:

There are infinite number of solutions

B.  

Solving:

The equation has only one solution

C.  

Solving:

Since both sides are not equal so, the equation has no solution

D.  

Solving:

Since both sides are not equal so, the equation has no solution

So, Correct option is Option B

Keywords: Solving Equations

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Use the distributive property to create an equivalent expression for -6(7t - 4). Make sure you answer is in the form shown below

Answers

Answer:

-42t + 24

Step-by-step explanation:

-6(7t-4)=  -42t + 24

-6 x 7t = -42t

-6 x -4 = +4

simplify 10 + 4(- 8q - 4)

Answers

The answer simplify is = -362

Answer:

-32q-6

Step-by-step explanation:

Or option C if you are doing it on Khan

Chandra hires 21 people to pick crops from her field. She agrees to pay them $2.50 for each unit they pick. Estimate
the total amount of money she will have to pay if each person picks 6 units.

Answers

Answer:

I think its 315

Step-by-step explanation:

because I think I have to multiply if u do I think it's 21x2.50x6 and it's equal to 315

Gabby has five bags of beads. Each bag has the same proportion of blue beads (x) to red beads (y). The table shows the numbers of beads in five bags. What is the constant of proportionality of red beads to blue beads?

Answers

The constant of proportionality of red beads to blue beads is 2/3

The constant of proportionality of red beads to blue beads

This refers to the Fixed ratio of Gabby's blue beads to red beads in the 5 bags. In order words, the constant of proportionality describes a ratio is which is does not change as it is fixed

Now, carefully follows my explanation below:

The constant of proportionality is represented by k

The number of bags of beads Gabby has = 5 bagsThe blue beads = xThe red beads = y

Then it goes further as thus:

Blue : Red = 32 : 48

= 32/48

= 4/6

= 2/3

Blue : Red = 48 : 72

= 48 : 72

= 2 / 3

Blue : Red = 60 : 90

= 2 / 3

So therefore, from the solution which I have provided above, it can be concluded that the constant of proportionality of the red beads to blue beads is 2/3.

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Gabby has five bags of beads. Each bag has the same proportion of blue beads (x) to red beads (y). The

another way to find 4x2x5

Answers

Another way to find 4x2x5 is to multiply two of the digits and multiply the last digit with the product of two.

What is multiplication?

Multiplication is when you take one number and add it together a number of times. Example: 5 multiplied by 4 = 5 + 5 + 5 + 5 = 20. We took the number 5 and added it together 4 times. This is why multiplication is sometimes called "times".

Given are three numbers multiplied, 4x2x5, we need to find the another way to solve it,

So,

4x2x5 = 40

So, in another method,

Multiply 4 and 2, we get, 8 as product, now multiply the product 8 to the last number 5,

8x5 = 40

Hence, the another way to find 4x2x5 is to multiply two of the digits and multiply the last digit with the product of two.

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The question is incomplete solved for:

Find the another method to solve 4x2x5

Which expression is equivalent to 24 x^2 -22 x + 5?

Answers

Answer:

(12x-5)(2x-1)

Step-by-step explanation:

...............................................................

Answers

Answer: Hey.!! Step-by-step explanation:

Answer:

Someone got my answer deleted

Step-by-step explanation:

What number makes the equation true? Enter the answer in the box. 4= 36 - N​

Answers

Answer:

as i see

the answer is 32.....

If f(x) = 6x3 – 11x2
6x3 – 11x2 – 26x + 15 and
f(3) = 0, then find all of the zeros of f(x)
algebraically.

Answers

Answer:

f(6)g(8)

f(3)=0

Step-by-step explanation:

its a mathematics formula its ia trick

please help image attached! x=?

please help image attached! x=?

Answers

Answer:

90°

Step-by-step explanation:

from the figure and the measurements it is a square, the diagonals are perpendicular and form 4 angles of 90°, so 90° is your answer.

A floor is covered with 83 multicolored tiles and 60 plain red tiles. What is the ratio of red tiles to all tiles?

Answers

Answer: 60/143

Explanation:

From the information given,

number of multicolored tiles = 83

number of plain red tiles = 60

Total number of tiles = 60 + 83 = 143

ratio of red tiles to all tiles = 60/143

Need Help Picture Below ( 25 Points)

Need Help Picture Below ( 25 Points)

Answers

Therefore , the solution of the given problem of equation comes out to be n = 3.

What is an equation?

The same variable word is frequently used in mathematical formulas to attempt to ensure consistency between two assertions. Mathematical equations, also referred to as assertions, are used to demonstrate the equality of many academic figures. Instead of dividing 12 into two portions in this instance, the normalise function adds b + 6 to use the illustration of

y + 6.

Here,

Part 1: We will add 1 to both sides of the equation because we want to separate n in this situation:

=> n - 1 + 1 = 2 + 1

Simplifying:

=> n = 3

Consequently, n = 3 is the answer to the problem n - 1 = 2 when n is taken into account.

To put it up:

=> n - 1 = 2

To both ends, add one:

=> n - 1 + 1 = 2 + 1

Simplify:

=>n = 3

Part 2:

In order to isolate the variable (n) on one side of the equation, we can use inverse operations to answer for n in the equation n - 1 = 2.

Addition is the opposite of reduction. In order to isolate n in this example, we therefore add 1 to both sides of the equation using the inverse process of subtraction.

The steps required are as follows:

=>  n - 1 = 2 (original calculation) (original equation)

To both ends, add one:

=>  n - 1 + 1 = 2 + 1

Simplify:

=> n = 3

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Jessica has a sack of vegetables.
There are 3 carrots for every 4 potatoes
in the sack.
If there are 12 carrots in the sack, how
many potatoes are there?

Answers

16 potatoes

according to the question:

we can formulate it as, (12*4)/3

= 48/3= 16

use the BODMAS rule to solve

that is Brackets Of Division Multiplication Addition Subtraction

so first (12*4) will be calculated.

multiply means adding equal groups

the first value that is used to multiply is called the multiplicand (12)

the second value that is been multiplied is called the multiplier. (4)

the result that we get when we multiply the multiplicand and the multiplier is called the product. (48)

then, divide the product with the denominator

48/3

The division is the process of splitting a specific amount into equal parts.

therefore, 16 potatoes are there.

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f(1)=0
f(n)=f(n−1)+2

Answers

Answer: f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Step-by-step explanation: Using the given recursive formula:

f(1) = 0

f(n) = f(n-1) + 2

We can find the values of f(n) for different values of n:

f(1) = 0

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

f(5) = f(4) + 2 = 6 + 2 = 8

And so on.

We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:

f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Kathleen and Antonio hung out at the mall on Saturday. They spent 1 hour and 15 minutes shopping for clothes and 1 hour and 30 minutes at the food court. Then they spent 2 hours at the video arcade before heading home. If it was 11:00 A.M. when Kathleen and Antonio started shopping for clothes, what time was it when they left the mall?

Please help me fast!!!!!

Answers

Answer and Step-by-step explanation:

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First, we should list all the information that is given to us.

Started at: 11:00 AM

Time spent shopping: 1 hour and 15 minutes

The spent in food court: 1 hour and 30 minutes

Time spent in video arcade: 2 hours

Now, all we have to do is add the times.

11:00 AM + 1 hour and 15 minutes = 12:15 PM

12:15 PM + 1 hour and 30 minutes = 1:45 PM

1:45 PM + 2 hours = 3:45 PM

So, Kathleen and Antonio left the mall at 3:45 pm.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

HELP ME!!!!
ZEARN!!!!!!!!!

HELP ME!!!!ZEARN!!!!!!!!!

Answers

A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

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On jan. 1, 20x1, the cost of equipment purchase is 80000 with a useful life of 5yrs with no residual value, using a straight-line method. complete the following statements to correctly describe the processes involved in apportionment and redistricting. Q 9. What is the importance of management function of controlling for an organization? What are the methods of controlling?Q 10. What factors make services different from goods? Explain these characteristics of services and then discuss the challenges that arise from these specific characteristics.Q 11. Engineers are sometimes utilized in the area of marketing/selling or after sales services. Please provide examples for such cases/areas. Do you think these job positions are appropriate for engineers? Why/why not? Please discuss.Answer All Questions please For many years, humans have used a variety of techniques that have influenced the genetic makeupof organisms. These techniques have led to the production of new varieties of organisms that possesscharacteristics that are useful to humans. Identify one technique presently being used to alter thegenetic makeup of an organism, and explain how humans can benefit from this change. Your answermust include at least:the name of the technique used to alter the genetic makeup a brief description of what is involved in this techniqueone specific example of how this technique has been used a statement of how humans have benefited from the production of this new variety of organism. true or false bone completely encased in connective tissue such as tendon or ligament, for example, the patella (kneecap). Given the first order differential equation dy_2y + t dt 2yt = -, find the general solution for y by 1.1 using the substitution y = vt. (8) 1.2 rewriting the equation as a Bernouli equation and solving as a Bernoulli equation. (8) [16] QUESTION 2 Find the general solution for the following differential equation using the method of undetermined coefficients dy_36y=cosh3x. (10) dx [10] QUESTION 3 Find the general solutions of the following differential equations using D-operator methods: 3.1 (D-5D+6)y=e-x + sin 2x (8) 3.2 (D +2D+4) y = ex sin 2x (8) On January 1, Year 1, you are considering the purchase of Nico Enterprises common stock. Based on your analysis of Nico Enterprises, you determine the following: 1. Predicted growth rate for Year 1 through Year 5 is constant 3%. 2. After Year 6 the growth rate will be zero. 3. Nico just paid a dividend $3. 4. Required rate of return (cost of capital) is 8%. 5. Determine the purchase price per share of Nico Enterprises common stock as of January 1, Year 1. 1) Which of the following are true? Select all that apply.In the portfolio matrix, the "stars" have high future revenue potentialThe marketing plan consists of the 4Ps: planning, promotion, price, and productIn the development of organizational plans, business plans should be developed firstThe implementation of a business plan should identify leverage peopleJKOFinancial Management Four: Business Case Analysis FILL IN THE BLANK. Some companies create separate Websites for each country in which they do business; this is called ______ of a Website.** Which of the following pricing strategies is appropriate during the maturity stage of the product life cycle? A. Skimming B. Penetration strategy