Find the mean, variance and standard deviation for the probability distribution given below:
X -1 3 9 12
P(X) 0.587 0.115 0.21 0.088
A. Mean = B. Variance = C. Standard Deviation =

Answers

Answer 1

The mean, variance, and standard deviation for the probability distribution given are A. Mean = 5.5; B. Variance = 13.875; C. Standard Deviation = 3.722.

The mean, variance and standard deviation of the probability distribution can be calculated using the formula. The mean is calculated by summing up the product of all the values and their respective probabilities and then dividing it by the total probability. In this case, the mean is calculated as:

(1*0.587 + 3*0.115 + 9*0.21 + 12*0.088)/(0.587 + 0.115 + 0.21 + 0.088) = 5.5.

The variance is calculated by summing up the product of the squares of the values and their respective probabilities and then dividing it by the total probability. In this case, the variance is calculated as:

(1^2*0.587 + 3^2*0.115 + 9^2*0.21 + 12^2*0.088)/(0.587 + 0.115 + 0.21 + 0.088) = 13.875.

The standard deviation is the square root of the variance and it is calculated as √13.875 = 3.722.

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Related Questions

Can someone please explain how to do inequalities in math.
please add an example too.

Answers

When solving inequalities, solve them like regular equations. Worry about the inequality sign/s at the end.

For instance, if the inequality is 11 - 8x < -13

1.Subtract 11 on both sides to get -8x by itself. 11-11 - 8x < -13-11

2. Simplify
-8x < -24

3. Divide both sides by -8
-8x/-8 < -24/-8

4. Simplify
X < 3, but since you divided by a negative number you need to switch the inequality sign to x>3. This is because an inequality rule says when you’re dividing a negative number, the inequality sign switches. But, if you’re dividing by a positive number, you don’t change the sign.

And you would graph this on a number line by having an open circle of 3 with the line going to the right. It would have an open circle because it doesn’t include 3 as the solution.

Solve the system. 3x+y = 10 y = 6x+1 Enter your answer by filling in the blanks. The solution is (/,/)

Answers

The estimated solution of the system 3x + y = 10 and y = 6x + 1 is (1, 7)

What is an equation?

An equation is used to show the relationship between numbers and variables.

The standard form of a linear equation graph is:

y = mx + b

Where m is the slope of the line and b is the y intercept.

Given the linear equation:

3x + y = 10

y = -3x + 10   (1)

y = 6x + 1     (2)

Subtracting equation 2 from 1 to solve using elimination method gives:

0 = -9x + 9

9x = 9

x = 1

put  x = 1 in eqn 2:

y = 6(1) + 1

y = 7  

The solution is (1, 7)

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What is the interval of zero?

Answers

If the confidence interval for a difference between groups includes zero, that means that if you run your experiment again you have a good chance of finding no difference between groups.

If the confidence interval for a difference between groups includes zero, that means that if you run your experiment again you have a good chance of finding no difference between groups.

If the confidence interval for a correlation or regression includes zero, that means that if you run the experiment again there is a good chance of finding no correlation in the data.

In both of these cases, you will also find a high p-value when you run the statistical test, meaning that the results could have occurred under the null hypothesis of no relationship between variables or no difference between groups.

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How do you write log in e form?

Answers

Log to exponential form is very useful to easily perform complicated numeric calculations. The logarithmic form

loga N=x

can be easily transformed into the exponential form as:

ax=N

Normally, large astronomical and scientific calculations are written in exponential form, and here we can use the log to exponential form of transformation.

Logarithms are occasionally transformed using antilog tables to normal form, rather than transforming into exponential form.

Log to exponential form required specific formulas of logarithms and exponents. Logarithms help in easily transforming the multiplication and division across numbers into addition and subtraction.

And exponentials help in working across numbers with different bases and different powers.

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19. The Beaufort Scale measures the intensity of tornadoes. For a tornado

3

with Beaufort number B, the formula v = 1. 9B2 may be used to

estimate the tornado's wind speed in miles per hour. Estimate the wind

speed of a tornado with Beaufort number 9.

Answers

The the wind speed of a tornado with Beaufort number 9 is 51.3 miles per hour.

What is speed?

Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in meters per second (m/s) in this example because the distance is measured in meters (m) and the time is measured in seconds (s).

Given:

The Beaufort Scale measures the intensity of tornadoes. For a tornado

with Beaufort number B, the formula [tex]v = 1.9B^\frac{3}{2}[/tex] may be used to

estimate the tornado's wind speed in miles per hour.

We have to estimate the wind speed of a tornado with Beaufort number 9.

Plug B = 9 in the formula [tex]v = 1.9B^\frac{3}{2}[/tex]

[tex]v = 1.9(9)^\frac{3}{2} \\v = 1.9(27)\\v = 51.3[/tex]

Hence, the the wind speed of a tornado with Beaufort number 9 is

51.3 miles per hour.

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Will give you brainlist
What are the two equations to set up to solve the equation?

|3x-2|=19

3x-2=


~QUESTION 2~

3|x+2|-7=14

x=_______

_____


~QUESTION 3~

-2|2x+3|+14(greater than and equal to symbol) -16

= < with line * < with line

Answers

The two equation to set up to solve the equation |3x - 2| = 19 are

3x - 2 = 193x - 2 = -19

Question 2

x = 5 OR -9

Question 3

x ≥ 6 OR x ≥ -9

What is absolute value?

Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line.

A number can never have a negative absolute value.

How to write the absolute value equation

The equation is written in the form below

|3x - 2| = 19

removing the absolute value sign

3x - 2 = ± 19

the two equations are

3x - 2 = 19

3x - 2 = -19

Question 2

solving for x

3|x + 2| - 7 = 14

3|x + 2| = 14 + 7

3|x + 2| =  21

divide through by 3

|x + 2| =  7

removing the absolute value sign

x + 2 =  ±7

solving for x for positive value

x + 2 = 7

x = 5

solving for the negative sign

x + 2 = -7

x = -9

Question 3

-2|2x+3| + 14 ≥ -16

-2|2x+3| ≥ -30

dividing through by -2

|2x+3| ≥ 15

2x+3 ≥ ±15

solving for the positive sign

2x+3 ≥ 15

x ≥ 6

solving for the negative sign

2x+3 ≤ -15

x ≥ -9

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how to get the Y intercept when you don't have a 0 X coordinate?​

Answers

Answer: You plug in y as 0 into your equation.

Step-by-step explanation:

Do the above thing OK.

2x³ +x² -25x +12 factorised

Answers

The correct solutions for "x" after factorizing the cubic equation are:

x1 = -4

x2 = 0.5

x3 = 3

Cubic Equation:

A cubic polynomial in mathematics is a polynomial whose highest degree is three. A cubic equation is one that contains a cubic polynomial.

Either one real root or three real roots are present in every cubic equation. The cubic equation is written as ax^3+bx^2+cx+d=0.

Therefore, standard form of the cubic equation is: ax^3 + bx^2 + cx + d = 0

Given: 2x³ +x² -25x +12

On comparing with the standard form of the cubic equation, we get;

a=2

b=1

c=-25

d=12

After factorizing the cubic equation, we have three roots.

x1 = -4

x2 = 0.5

x3 = 3

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The rectangular floor of a classroom is 26 feet in length and 36 feet in width. A scale drawing of the floor has a length of 13 inches. What is the perimeter, in inches, of the floor in the scale drawing?


HURRYYY I NEED HELP AGAIN!

Answers

Answer: 62 inches

Step-by-step explanation:

26÷13 =2

so 2 is the scale factor

so 36÷2= 18

18+18+13+13=62

I HOPE THAT HELPED

What are the 3 possible solutions for any quadratic?

Answers

There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

quadratic equations

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).

factoring

factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

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A university just acquired more land which is shown by the triangle in the diagram. What is the area of the land that the university just aquired?

Answers

Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.

Define area.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Area = length x breadth.

Here,

Given : A triangle land which has

height = 2miles

and base = 1.5+ 1.5 = 3 miles

Thus,

To find the area of triangle :

=> Area = 1/2*b*h

=>Area = 3*2/2

=> Area = 3 miles square

Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.

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1. What is the unit of measurement for speed using the metric system?

Answers

Answer:

meter per second(m/s)

Answer:

Hey there! The metric system has a unit called meters per second for measuring speed. It's abbreviated as m/s and it's used to measure how far something travels in a certain amount of time. For example, if something goes 50 meters in 10 seconds, its speed would be 50 m/s / 10 s = 5 m/s. There are other units for measuring speed too, like kilometers per hour (km/h) and centimeters per second (cm/s). It just depends on what you're measuring and how precise you need to be.

________________________________________________________

How do things like distance and time affect the speed of an object?

Well, speed is all about how far something goes in a certain amount of time. So if you increase the distance traveled or decrease the time it takes to travel that distance, the speed will increase. On the other hand, if you decrease the distance traveled or increase the time it takes to travel that distance, the speed will decrease.

Why is it important to measure and calculate speed in certain situations?

There are all sorts of situations where knowing the speed of something is important. For example, if you're driving a car, it's important to know how fast you're going so you can stay safe and follow the speed limits. In sports, measuring speed can help coaches and players improve their performance. And in science, measuring the speed of light or other phenomena can help us better understand the world around us. So as you can see, speed is a pretty important concept!

Is halting undecidable?

Answers

Therefore , the solution of the given problem of tractable problem comes out be it is the most frequently encountered problem that has been discovered to be insoluble.

What is a tractable problem?

a process that completes a manageable task in a polynomial amount of time. The polynomial upper bound is used. If an issue cannot be resolved in a polynomial amount of time, it is referred to as being intractable. The bound's minimum is exponential.

Here,

There is no programme that can resolve the halting difficulty for sufficiently general computer programs,

making it the most frequently encountered problem that has been discovered to be insoluble.

The type of computer software we're discussing must be made clear.

Therefore , the solution of the given problem of tractable problem comes out be it is the most frequently encountered problem that has been discovered to be insoluble.

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What is the 3 triangular number?

Answers

A triangular number succession is the representation of numbers as just an ordered set of equilateral triangles. The order of these numbers is 1, 3, and 6.

What exactly is meant by triangular numbers?

A triangular number is one that may be written as the sum of a initial n positive integers.

A good example of a triangular number is 6, which may be written as 1+2+3 when the first three positive integers are added together.Triangular numbers make up a sequence if one considers the sum of the first positive integer as the initial element, the sum of the first two positive integers as the second element, and so on.If a number equals that sum of such initial n positive integers, then n denotes the position of that particular triangular number with in the series.Triangular numbers can be used to create equilateral triangles.

The first 3 triangular numbers are therefore 1, 3, and 6.

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Rewrite 14x4y3 − 42x3y4 using a common factor.

Answers

The expression 14x⁴y³ - 42x³y⁴ is rewritten to 14x³y³(x - y)

What is an algebraic expression?

An algebraic expression can be described as a mathematical expression that is made up of terms, coefficients, variables, factors and constants.

They are also made up of some arithmetic operations, such as;

SubtractionMultiplicationDivisionBracketParenthesesAddition, etc

From the information given, we have the algebraic expression;

14x⁴y³ - 42x³y⁴

Now, factor the common numbers, we have;

14(x⁴y³ - 3x³y⁴)

Factor the common variables, we get;

14x³y³(x - y)

Hence, the expression is 14x³y³(x - y)

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y=-5 8x+5y=-17 substitution

Answers

[tex]8x+5y=-17[/tex] when y is -5

Substitute for y with given value:

[tex]8x+5(-5)=-17[/tex]

[tex]8x-25=-17[/tex]

Add 25 to both sides:

[tex]8x-25+25=-17+25[/tex]

[tex]8x=8[/tex]

Divide both sides by 8:

[tex]\dfrac{8x}{8} =\dfrac{8}{8}[/tex]

[tex]\fbox{x = 1}[/tex]

6 x/11 ➕1

What does x equal

Answers

X is 55 after rearranging the equation given

IS this statement true. When two conjugates are multiplied, the product is a

difference of two squares

Answers

Therefore the product of two conjugates is a difference of two squares.

What are conjugates?

When two binomials have the same terms but different arithmetic operators in the center of these related words, they are said to be conjugate. For instance, the conjugate of p + q is p - q.

Define binomial numbers.

An integer known as a binomial number is produced by evaluating a homogeneous polynomial with two terms, also known as a binomial.

This statement is true.

The conjugates of a complex number are two complex numbers that differ only in their signs. They are of the form a + bi and a - bi.

When two conjugates are multiplied, the product is (a + bi)(a - bi) = a^2 + (bi)^2 = a^2 - b^2 + (2abi) = (a^2 - b^2) + (2ab)i.

which is in the form (a^2 - b^2) + (2ab)i = (a^2 - b^2) + (2ab)i = (a+b)(a-b)

So the product of two conjugates is a difference of two squares.

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Write a system of equations to describe the situation below, solve usi
the blanks.
Parent volunteers at Salem High School are processing yearbook orde
an option to get the basic yearbook or a deluxe option, which includes
protective cover. In Mrs. Wu's class, 21 basic yearbooks and 6 deluxe
ordered, for a total of $2,025. The students in Mr. Boyer's class ordere
and 18 deluxe yearbooks, for a total of $2,763. How much does each
The basic yearbook costs $
and the deluxe yearbook costs $
Submit

Answers

Answer: $52.57 for each basic yearbook and $153.5 for each deluxe yearbook

Step-by-step explanation:

First, do Mr. Boyer's class to find out how much each deluxe yearbook is:

2,763 ÷ 18 = $153.5

Then do, Mrs. Wu's class: First, multiply 153.5 by the 6 deluxe yearbooks ordered;

153.5 x 6 = 921

After, subtract 921 from 2,025:

2,025 - 921 = 1104

The remaining $1104 is the total cost of the 21 basic yearbooks ordered. Divide the total cost by the number of yearbooks ordered to find the unit price:

1104 ÷ 21 = 52.5714285714

Round to the nearest hundredth: $52.57

Please give brainliest

Greg has 14 as many songs on his computer as Mark. Raj has 6 fewer than 60% of the songs that Mark has. Mark has 720 songs on his computer.

Answers

Using percentage and equations, Greg has 734 songs, Raj has 426 songs and Mark has 720 songs

What is Percentage

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent symbol, "%". For example, 45% (read as "forty-five percent") is equal to 45/100, or 0.45. Percentages have no dimension, which it's why they are dimensionless number. for example 60% of a number, then it means 60 per cent of its whole.

In this problem, we can write an equations and solve to determine the number of songs Greg has on his computer.

Let;

x = number of songs Greg hasy = Number of songs Raj has

Since Mark has 720 songs in his computer;

x = 14 + 720

x = 734

Greg has 734 songs

We can calculate the number of songs Raj has by;

y = 60%(720) - 6

y = [(0.6) * 720] - 6

y = 426

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SHOW YOUR WORK 256 divided by 6400

Answers

u sure it is 6400 divided by 256?

Russel is doing an experiment for a science fair project. He fills a beaker with water three times. He puts 16.5 mililiters of water in each test tube. How many full test tubes can Russel fill with water? 1. Describe one way to estimate the solution to this problem. 2. Russel calculates correctly and says the answer to the problem is 36.36 test tubes. Is Russel's answer reasonable? Explain ​

Answers

The number of full test tubes Russel fill with water must be discrete number and not rational. 36 test tubes is the answer.

How to Know Cylinder Volume ?

Volume of a cylinder can be known either by the use of formula (V = πr²h) or by measuring with the volume of a known liquid.

Given that Russel is doing an experiment for a science fair project. He fills a beaker with water three times. He puts 16.5 milliliters of water in each test tube. How many full test tubes can Russel fill with water?

1. Describe one way to estimate the solution to this problem.

By dividing the amount of milliliters of water in the baker by 16.5 ml

2. Russel calculates correctly and says the answer to the problem is 36.36 test tubes. Is Russel's answer reasonable?

No! The reason is based on the fact that the answer must be a whole number and not a decimal number since the question centered on number of full test tubes filled with water.

Therefore, the correct answer should be 36 test tubes.

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If 2x − 1 ≤ f(x) ≤ x2 − 2x + 3 for x ≥ 0, find lim x→2 f(x).

Answers

The limit as x approaches 2 or lim x→2  is 4.

When calculating a limit, the goal is to find the value of the function as x approaches the given value. In this case, the given value is 2. As x approaches 2, the values of the function will approach 4, which is the upper bound of the given inequality. This means that the limit as x approaches 2 is 4.

To prove this, we can look at the inequality and find the values of the function at x = 1 and x = 3. For x = 1, the function value is -1, which is less than 4. For x = 3, the function value is 7, which is greater than 4. This means that the function values are increasing as x gets closer to 2, so the limit as x approaches 2 is 4.

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Angle AOB is a central angle with a measure of 110 degrees.
What is the measure of its arc AB?

Answers

The measure of the ACB arc is 250° when in the picture we have a circle with an angle AOB is a central angle with a measure of 110°.

Given that,

In the picture we have a circle with an angle AOB is a central angle with a measure of 110°.

We have to find the measure of the ACB arc.

We know that,

Suppose that AB is the minor arc that is m(arc AB) = 110°

We know that measure of the major arc is 360°-  measure of minor arc.

m(arc ACB)= 360- m(arc AB)

m(arc ACB)= 360-110

m(arc ACB)= 250°

Therefore, The measure of the ACB arc is 250° when in the picture we have a circle with an angle AOB is a central angle with a measure of 110°.

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What kinds of problems are not solved by algorithms?

Answers

Answer:

Undecidable Problems

Step-by-step explanation:

when journalizing an accounts payable account what account is credited
a. it depends on the transaction
b. accounts payable
c. cash
d. accounts receivable

Answers

Answer:

cash

Step-by-step explanation:

debit - account payable

credit - cash



2/3 of the students in a class passed their math test. If 16 of students passed the test, how many students are in the class

Answers

Answer:

24 students are in the class

Step-by-step explanation:

Let x represent the total number of students in the class. We have the equation:

(2/3)x = 16

x = 24 students

So, there are 24 students in the class.

Answer:

24 students

Step-by-step explanation:

16/2=8

8*3=24

Factor the expression completely.
x^4-15x^2+54

Answers

Answer:

x^2(x^2 - 15) + 9(x-6)(x+1)

Step-by-step explanation:

To factor the expression x^4 - 15x^2 + 54 completely, we need to find the common factors in each term. In this case, we can see that the terms x^4 and -15x^2 share a common factor of x^2. To factor this out, we can use the difference of squares factorization:

x^4 - 15x^2 + 54 = x^4 - 15x^2 + (9x^2 - 9x^2) + 54

= x^2(x^2 - 15) + 9(x^2 - 6)

= x^2(x^2 - 15) + 9(x-6)(x+1)

Since x^2-15 can't be factored further. The expression is fully factored.

We can check this by multiplying it back and it should be the same as original expression.

How do you solve a 3 by 3 system of equations using matrices?

Answers

The solutions can be read off of the diagonal entries in the reduced matrix.

To solve a 3 x 3 system of equations using matrices, first we need to create the augmented matrix for the system of equations. The augmented matrix contains the coefficients of the variables and the constants for each equation on each row. Then we can use row operations to reduce the augmented matrix to reduced row-echelon form. This can be done by adding or subtracting rows to each other, multiplying or dividing a row by a non-zero number, and swapping two rows. After reducing the matrix to row-echelon form, we can back-substitute the solutions to the system of equations. The solutions can be read off of the diagonal entries in the reduced matrix. For example, if the matrix is reduced to the form [a b c d e f g h i] then the solution to the system of equations is x = d/a, y = e/b, and z = f/c.

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5. Measure the length of each leg and the hypotenuse of this triangle: a.f = units ag units fg = units​

Answers

To find the length of the side opposite the angle, multiply the hypotenuse by sin(). Alternatively, to obtain the side next to the angle, multiply the hypotenuse by cos()

What is Hypotenuse triangle?

The term "hypotenuse" refers to a right-angled triangle's longest side as compared to the base and perpendicular lengths. The right angle, the largest angle of the three angles in a right triangle, is opposite the hypotenuse side. In essence, only the right triangle possesses the hypotenuse feature, not any other triangles. When we study the right-angled theorem, Pythagoras Theorem, or Pythagorean Theorem, this is better understood.

Hypotenuse Theoram

Pythagoras theorem defines the hypotenuse theorem. This theorem states that the square of a right-angled triangle's hypotenuse side is equal to the sum of its base and perpendicular squares, so that;

Hypotenuse2 = Base2 + Perpendicular2

The square root of the sum of the base and perpendicular squares of a right-angled triangle provides the formula to get the hypotenuse. The hypotenuse formula is represented as follows:

Hypotenuse = √[Base2 + Perpendicular2]

Length of the hypotenuse:Hypotenuse length: In the scenario where the square root is not a perfect square, we take an approximation of the root here in order for the solution to appear.Additionally, the squares of the base and the height should always be added to establish the value, however this does not provide a perfect square.Due to the imperfect square-root number, we must therefore approximation the solution.

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What are the 5 main food groups and their function? What molecule solid would have the highest melting point? Off the coast of Chile and Peru, ocean currents and winds cause a rising of cold, nutrient-laden water. This enrichment of the ocean's surface layer results in an abundant planktoncrop, which in turn supports large fish and seabird populations.El Nino is the name for a set of oceanographic conditions that occurs every 5 to 8 years,causing disturbances in Earth's biological and weather systems. El Nino (Spanish for"Christ child") gets its name from the fact that it usually happens around Christmas.El Nino occurs when trade winds that drive the currents weaken and fail. In the ocean, thesupply of nutrients is cut off, and rather sterile warm water kills off the plankton. The fishand seabirds starve.Dramatic changes also take place in the world's weather. As the trade winds subside, thewind patterns around the globe are disrupted. For example, the normally cool Europeancontinent may experience prolonged periods of torrid temperatures as its normal windpatterns change. El Nino's effects may be felt for as long as 2 years at a time.A spokesman states, "El Nino will have no effect on world food prices." Why is the speakerprobably in error?A. Food consumption goes up during El Nino.B. Loss of fish and variable weather conditions reduce food availability.C. Food production increases because of El Nino.D. The Northern Hemisphere makes up the Southern Hemisphere's food lossesE. New food sources are constantly being found If 400g of ice at -2C i placed in 1 kg of water at 21C what i the end product when equilibrium i reached? 1) Jesus has 100 and he expends 8 dollars everyday. How much money would he have left after 8.days? Show all your work. When the victim exhibits some personal characteristic that unknowingly either threatens or encourages the attacker, it is known as: A. Passive precipitation B. Active precipitation C. Deviant Place Theory D. Lifestyle Theory What is the pH of a 7.5 10-3 M Ba(OH)2 solution at 25C?a. 0.015b. 1.82c. 12.18d. 11.88 factor each square root0.7 times square root of 300-0.125 times square root of 192 After Chapter 6 & 7What change does Utterson note in his friend Jekyll in the first paragraph How did this shift, again, in thesecond? Cite text evidence. What is the basis for the pain/distress classification system used by most institutions?A. AAALAC pain/distress categories.B. PHS pain/distress categories.C. USDA pain/distress categories.D. Guide pain/distress categories. hope is the thing with feathers the poet uses the words gale and storm as metaphors. what might these words represent What is a real value number? In Newton's second law, F = ma, the mass m is a gravitational mass.(a) True(b) False. If a sample of pure hydrogen gas is ignited very carefully, the hydrogen burns gently, combining with the oxygen gas of the air to form water vapor. Write the unbalanced chemical equation for this reaction. Choose two words that best replace the underlined words below.very bright How do you do numb 3. please help How many prime numbers are between $30$ and $40$? Read the following quote from a group discussing a good charity to donate money from a recent fundraiser: "I think we should give the money to an animal shelter." What iswrong with this idea?A. It lacks support.B. It is off topic. How many moles of MgCO3 are present in 252. 939 grams of MgCO37 N O 3 5 Od 6 sndjxjcjcjcjchc G Find the future values of the following ordinary annuities. FV of $600 each 6 months for 4 years at a nominal rate of 8%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $ FV of $300 each 3 months for 4 years at a nominal rate of 8%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $ The annuities described in parts a and b have the same amount of money paid into them during the 4-year period, and both earn interest at the same nominal rate, yet the annuity in part b earns more than the one in part a over the 4 years. Why does this occur