Upon enlisting in the Marine Corps. I was given the
)
opportunity to create a College Sovings fund for every
$1.00 I deposited the government would deposit
an additional $2.00 with a max of $100.00/month.
If I deposited the max each month how much money did I have
at the end of 5 years if I started with $100.00

Answers

Answer 1

Answer:

Step-by-step explanation:

Here's a step-by-step explanation of the solution:

Calculate the government deposit: For every $1.00 you deposit, the government deposits $2.00. So if you deposit the maximum of $100.00 each month, the government deposit would be $100.00 * $2.00 = $200.00.

Calculate the total deposit each month: The total deposit each month is the sum of your deposit and the government deposit, so it would be $100.00 + $200.00 = $300.00.

Calculate the number of months: You started with $100.00 and made the maximum deposit of $100.00 each month for 5 years. Five years is 5 * 12 = 60 months.

Calculate the total deposit over 5 years: Over 5 years, you made 60 deposits of $300.00 each, so the total deposit over 5 years would be 60 * $300.00 = $18,000.00.

Calculate the final balance: Adding the initial deposit of $100.00 to the total deposit over 5 years, the final balance in your account after 5 years would be $18,000.00 + $100.00 = $18,100.00.

So, at the end of 5 years, if you deposited the maximum of $100.00 each month into the College Savings fund, you would have $18,100.00 in your account.


Related Questions

melinda is practicing her penalty kicks. She took 40 shots and only missed 8. Based on the data,how many kicks will she make if she takes 60 shots

Answers

Answer:

48 kicks

Step-by-step explanation:

If she shoots 40 times and misses 8, we can create a ratio to represent the number of total shots to the number of misses:

40/8 = 60/x X represents the amount she will miss if she takes 60 shots.

We can find the value of x by using cross multiplication:

480 = 40x. We can now isolate x by dividing both sides by 40:

X = 12.

Melinda will miss 12 out of 60 shots.

She will make 48 kicks.

Step 1: 3 - 5 = √√4x + 6
Step 2: 3x - 5-6 = √4x+6-6
Step 3: 3x 11 = √/4x
Step 4: (3x - 11)² =(√4x)
What is the next step in the solution to this equation?

Answers

The next step in the solution to this equation is to evaluate the exponents

How to determine the next step in the solution to this equation

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

The steps 1 to 4

Using the above as a guide, we have the following:

Step 4: (3x - 11)² =(√4x)²

At this point,, we open the bracket

This is done by evaluating the exponents

So, we have

9x² - 66x + 121 = 4x

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Please help question below

Answers

The equation for option 1 is y = 3.5x + 7.5 and option 2 is y = 5.5x. Option 1 will be the least expensive. The solution has been obtained by using the slope-intercept form.

What is slope-intercept form?

The graph of the equation y = mx + b is represented by a line with a slope of m and a y-intercept of b. The slope-intercept representation of the linear equation is employed, and the values of m and b are real numbers.

We are given two options.

Using slope-intercept form, we get the equations as

Option 1

It requires monthly fee of $7.50 which means this is the y-intercept and $3.50 per game which means this is the slope.

So, the equation is y = 3.5x + 7.5

Option 2

Slope = (33 - 16.5)/ (6 - 3)

Slope = 16.5/ 3

Slope = 5.5

The y-intercept for this is 0.

So, we get the equation as y = 5.5x.

Fee for renting 5 games

As per option 1: y = 3.5(5) + 7.5 = $25

As per option 2: y = 5.5(5) = $27.5

Hence, option 1 will be the least expensive.

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Isaac made all these rectangles with 24cm lengths of string. This implies that the perimeter of all these rectangles are equal. What do you observe about the sun of the length and the width, give a reason for your answer?

Answers

Answer: Since the perimeter of all the rectangles is equal (24 cm), the sum of the length and width of each rectangle must be equal for each rectangle. This is because the perimeter of a rectangle is equal to the sum of its lengths plus the sum of its widths, multiplied by 2.

For example, if the length of one rectangle is "l" cm and its width is "w" cm, then its perimeter would be 2l + 2w = 24 cm.

So, in general, we can write the equation: l + w = P/2, where P is the perimeter of the rectangle (in this case, P = 24 cm).

Therefore, the sum of the length and width of each rectangle is equal and constant, regardless of the individual values of the length and width. This means that as the length of a rectangle increases, its width must decrease by an equal amount to keep the sum constant. And vice versa.

In conclusion, the sum of the length and width of each rectangle is equal, and it is equal to half of the perimeter of the rectangle.

Step-by-step explanation:

Mr. Lopez surveyed some of the students in the after-school program to figure out whether he should buy jumbo chocolate chip cookies or cinnamon twists for dessert. The circle graph shows the results. Cinnamon twists were chosen by 12 students. How students said he should buy jumbo chocolate chips cookies?

Answers

68 students said that Mr.Lopez should buy jumbo chocolate chip cookies.

What is a circle graph?

A pie chart, often known as a circle chart, is a visual representation of the various values of a specific variable or a means to summarise a set of nominal data (e.g. percentage distribution). This kind of chart consists of a circle with numerous segments.

Let's say the total number of students = X.

From the circle graph, we can say that 15% of students chose cinnamon twists and their count is 12.

Which means that

[tex]X*\frac{15}{100}=12\\ X=80[/tex]

Therefore the total number of students is 80.

Among the 80 students except for 12 students, the remaining students asked for jumbo chocolate chip cookies.

Which is equal to 80-12=68.

Therefore 68 students said that Mr.Lopez should buy jumbo chocolate chip cookies.

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PLEASE HURRY I REALLY NEED HELP WITH THIS PROBLEM

5. Suppose a poll is to be conducted in an elementary school by interviewing 50 students. Explain whether or not the following samples are representative of the students at the school. a. The first 50 students leaving the cafeteria. b. Fifty randomly chosen names from a computer-generated list of names of all students at the school. c. Ten students randomly chosen from each of the 5 areas of campus. d. Five students from 10 teachers' classes.​

Answers

If a poll is to be conducted in an elementary school by interviewing 50 students, the following samples have been described as either representative or not representative as follows:

a. The first 50 students leaving the cafeteria. Not representative

b. Fifty randomly chosen names from a computer-generated list of names of all students at the school. Representative

c. Ten students randomly chosen from each of the 5 areas of campus. Representative

d. Five students from 10 teachers' classes. Representative

What is a representative sample?

A representative sample is a small collection from a larger group from which any information obtained will be as good as the larger group. While choosing a representative sample, the researcher should take care not to zone the participants from a given section of the population. This will cause the information to be skewed and not objective.

Selecting 50 students leaving a cafeteria will not be representative because this might only represent a section of the school that will be giving their response based on a certain mood.

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Please help. Find the output, y When the input, x, is -7.

Answers

The output value of y when input value x is -7:   -6

What are functions?

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check given expression is a function or not we can check it by a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

A graph of a function,

And input value x  = -7

output value y = ?

As it can be seen in the graph,

For input value x  = 0

output value of y = -2

Similarly,

for input value x  = -7

It can be seen in the graph that

the value of y = -6

Hence, the value of y is -6

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If FD = 45 units and DE = 60 units , what is the value of a? round the solution to the nearest hundredth

Answers

For the given triangle, the value of 'a' would be 41.41 degrees.

What is cosine angle?

In mathematics, the cosine of an angle is a trigonometric function that relates the ratio of the adjacent side of a right triangle to the hypotenuse.

More formally, the cosine of an angle is defined as the ratio of the length of the adjacent side of a right triangle to the length of the hypotenuse. It is denoted by the symbol cos and is calculated using the following formula:

cos(theta) = adjacent side / hypotenuse

where theta is the measure of the angle in radians or degrees.

By using the cosine definition,

cosθ = adjacent side/Hypotenuse

cos(a) = 45/50

[tex]a = cos^{-1}(\frac{45}{60})[/tex]

a = 41.41°

Hence, for the given triangle, the value of 'a' would be 41.41 degrees.

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Given that [tex]\frac{|z - 5i|}{|z + 5i|} = 1[/tex] , show that z lies on the x-axis.

Answers

The proof that z lies on the x-axis is shown below

How to show that z lies on the x-axis.

For z to lie on the x-axis, then the coordinate must be represented as (x, 0)

Given that

[tex]\frac{|z - 5i|}{|z + 5i|} = 1[/tex]

We start by simplifying the given expression using the definition of the modulus of a complex number:

So, we have

[tex]\frac{|z - 5i|}{|z + 5i|} = \frac{\sqrt{(x - 0)^2 + (y - 5)^2}}{\sqrt{(x - 0)^2 + (y + 5)^2}} = 1[/tex]

Where

z = x + yi or z = (x, y)

Squaring both sides of the equation above, we obtain:

[tex]\frac{(x - 0)^2 + (y - 5)^2}{(x - 0)^2 + (y + 5)^2} = 1[/tex]

This gives

[tex]\frac{x^2 + (y - 5)^2}{x^2 + (y + 5)^2} = 1[/tex]

By comparison, we have

[tex](y + 5)^2 = (y - 5)^2[/tex]

Set y = 0 to test the equation

So, we have

[tex](0 + 5)^2 = (0 - 5)^2[/tex]

25 = 25 --- true

The equation is true for y = 0

This means that

z = (x, 0)

Hence, z lies on the x-axis

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Find the 52nd term of the arithmetic sequence

3
,
12
,
27

Answers

The 52nd term of the arithmetic sequence -3, 12, 27, ..... is equal to 762.

How to calculate an arithmetic sequence?

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 12 - (-3)

Common difference, d = 12 + 3

Common difference, d = 15

Substituting the given parameters into the formula, the 52nd term of this arithmetic sequence is given by;

a₅₂ = a₁ + (52 - 1)d

a₅₂ = -3 + (51)(15)

a₅₂ = -3 + 765

a₅₂ = 762.

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Can you please tell me the graphing points for this equation?
y = 2^(x+5) +1

Answers

The graphing points of the equation is given in the table.

What is an equation?

An equation is a statement that asserts the equality of two expressions, the expressions are written one on each side of an '=' equal to sign.

Given equation is [tex]y=2^{x+5} +1[/tex].

To find the graphing points of the functions:

By assuming the value for x and substitute in the given function to find the values of y.

[tex]if x=-2,y=2^{-2+5} +1=9\\ifx=-1, y=2^{-1+5} +1=17\\if x=0,y=2^{0+5} +1=33\\if x=1,y=2^{1+5} +1=65\\ifx=2,y=2^{2+5} +1=129[/tex]

It is given the table format as,

                 x                [tex]y=2^{x+5} +1[/tex]

                -2                     9

                -1                      17

                 0                     33

                  1                     65

                  2                   129  

Hence, these are all the graphing points of the equation.

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A grocer bought 100 pounds of mushrooms at 79¢ per pound. Experience
indicates that, as a result of aging, 40% of the mushrooms are sold at cost and
another 20% are discarded. Find the original marked price that will produce a
25% markup on cost.

Answers

The original markup price that will lead to a markup on cost of 25 % would be $ 1. 68 per pound

How to find the marked price ?

To find the marked up price, first, find the amount that is a 25 % markup on cost to be :

= ( 100 pounds x 79 cents per pound ) x ( 1 + 25 %)

= 79 x 1. 25

= $ 98. 75

The 40 % sold would bring in:

= 40 % x 100 x 0. 79

= $ 31. 60

The amount left to be raised is:

= 98. 75 - 31. 60

= $ 67. 15

The markup price on the rest of the mushrooms is:

= 67.15 / ( 100 - 40 % - 20 %)

= $ 1. 68 per pound

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18.
Credit scores are made of _____.


credit history, payment history, debt ratio, and types of credit


creditworthiness


FICO


credit profile

Answers

Credit scores are made of credit history, payment history, debt ratio, and types of credit which is therefore denoted as option A.

What is a Credit score?

This is referred to as a numerical expression based on a level analysis of a person's credit files, to represent the creditworthiness of an individual.

It is a prediction of how likely you are to pay a loan back on time based on information from your credit reports and has different components such as the credit history, payment history, debt ratio, etc.

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what is the least common denominator for 5/18, 11/12, and 6/13

Answers

Answer:

LCD → 468

Step-by-step explanation:

[tex]\frac{5}{18} = \frac{5}{18} * \frac{26}{26} = \frac{130}{468}[/tex]

[tex]\frac{11}{12} = \frac{11}{12} * \frac{39}{39} = \frac{429}{468}[/tex]

[tex]\frac{6}{13} = \frac{6}{13} * \frac{36}{36} = \frac{219}{468}[/tex]

Hence, the least common denominator for these three fractions would be 468.

Determine the more basic function that has been shifted, reflected, stretched, or compressed q(x) = -1/x + 1

Answers

The more basic function that has been shifted, reflected, stretched, or compressed to create q(x) = -1/x + 1 is the function f(x) = 1/x.

What do you understand by the team function?

The transformation applied to f(x) to obtain q(x) is divided into several steps:

Reflection: The negative sign in front of 1/x reflects the graph of f(x) across the x-axis, causing the y-values to change sign.

Vertical shift: Adding "+1" to -1/x raises the graph of f(x) by one unit.

Horizontal shift: Although there is no explicit horizontal shift in q(x), we can see that the graph of q(x) has a vertical asymptote at x=0, whereas the graph of f(x) does not. This means that the graph of q(x) has been shifted to the right by one unit.

The more basic function that has been shifted, reflected, stretched, or compressed to create q(x) = -1/x + 1 is the function f(x) = 1/x.

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Some researchers want to compare meditation and exercise to see which is more effective for reducing
stress. They randomly selected 100 people who suffer from high stress to participate in the study. The
subjects will either be given a 10-week course in a meditation program or they will participate in a 10-
week exercise program. The researchers must decide how to assign the subjects to these programs.
One option would be random assignment of the subjects into the programs. Another option is to allow
each subject to choose a program.
Which of the following is the main advantage of randomly assigning subjects to one of the two
programs rather than allowing them to choose?

Answers

Answer:

This is not math...

Step-by-step explanation:

Solve the equation for all real solutions in simplest form.
2q² +11q+13= 0

Answers

The given equation can be solved using the Quadratic Formula. The Quadratic Formula states that for an equation of the form ax2 + bx + c = 0, the solutions are x = [-b ± √(b2 - 4ac)]/2a.

In this case, a = 2, b = 11, and c = 13. Plugging these values into the Quadratic Formula yields: x = [-11 ± √(112 - 4(2)(13))]/2(2). Simplifying this expression gives us x = [-11 ± √(121)]/4.

Solving for the two solutions yields x = [-11 ± 11]/4, or x = [-11 + 11]/4 and x = [-11 - 11]/4. Simplifying further, we get x = 0 and x = -2. Therefore, the two real solutions to the given equation are x = 0 and x = -2, in simplest form.

Blake needs a wooden dowel that is 2 1/6 feet
long. How much should he cut off the dowel
shown below?
-5 1/4 ft

Answers

Blake needs a wooden dowel that is 2 1/6 feet long. Blake needs to cut off 7.4167 feet from the dowel.

What are arithmatic operations?

Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.

To find out how much Blake should cut off the dowel, we need to subtract the length of the dowel from the required length.

The length of the dowel is -5 1/4 feet, which can be written as -5.25 feet.

The required length is 2 1/6 feet, which can be written as 2.1667 feet (rounded to four decimal places).

To find out how much needs to be cut off, we can subtract the length of the dowel from the required length:

2.1667 ft - (-5.25 ft) = 7.4167 ft

Therefore, Blake needs to cut off 7.4167 feet from the dowel.

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A curve is defined by the implicit equation X³ + X²Y + 4Y² = 6.
Find the value of day/dx when X = 1 and when Y = 1.

Answers

Find the value of day/dx when X = 1 and when Y = 1. I would like to answer correct but Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.

O REAL NUMBERS
Signed fraction multiplication: Basic
Multiply.
(-9) (-7/3)
Write your answer in simplest form.

Answers

Answer:

21

Step-by-step explanation:

(-9)([tex]-\frac{7}{3}[/tex]) = 63/3 = 21

what is prepaid expense?

Answers

Answer:

Prepaid expenses are payments made in advance for goods or services that will be received or used in the future. These expenses are considered assets on a company's balance sheet because they provide future economic benefits. Examples of prepaid expenses include rent payments made in advance, insurance premiums, and prepaid service contracts. They are recorded as an asset on the company's balance sheet until the expense is incurred, at which point it is recognized as an expense on the income statement.

Step-by-step explanation:

Let A, B, and C be events relative to the sample space S. Using Venndiagrams, shade the areas representing events:

a.) (A∩B)′

b.) (A∪B)′

c.) (A∩C)∪B

Answers

If A, B and C be events relative to the sample space S, then the Venn diagram of the representing event has been plotted

Let A, B and C be events relative to the sample space S.

The sample space is the set of all possible outcomes of the experiment.

The Venn diagram is the pictorial representation of the sample space of the experiment by using the circles and the overlapping of the circles.

Here we have to plot the each representing events using the Venn diagram representation

Part a

The event is (A ∩ B)'

Plot the Venn diagram

Part b

The event is (A ∪ B)'

Plot Venn diagram

Part c

The event is (A ∩ C) ∪ B

Plot the Venn diagram

Therefore, the Venn diagram of the each event has been plotted

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PLEASE HELP!!! 4 questions

Answers

The value of x from the given triangle is approximately 19.10.

What is triangle?

Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.

We can use the Pythagorean theorem to find the value of x. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. Mathematically, it can be represented as follows:

c² = a²+ b²

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

In this problem, c = 25, and we need to find the value of x which is the length of one of the other two sides. Let's call the other side y. Then, we can write the equation as follows:

25² = x² + y²

We are also given that the angle between x and y is 41 degrees. We can use trigonometry to find the value of y. The sine function gives us the ratio of the opposite side to the hypotenuse, so we can write:

sin(41) = y/25

Therefore, y = 25 * sin(41). Now that we have the values of x and y, we can substitute them in the equation derived from the Pythagorean theorem:

25² = x² + (25 * sin(41))²

Solving for x, we get:

x = √(25²- (25 * sin(41))²)

Using a calculator, we get that sin(41) = 0.661437827766148.

Now, we can substitute this value in the equation:

x = √(25² - (25 * sin(41))²)

x = √(25² - (25 * 0.661437827766148)²)

x = √(25² - (16.0359050108801)²)

x = √(625 - 256.132749101278)

x = √(368.867250898722)

x = 19.10

Hence, The value of x is approximately 19.10

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Provide evidence of how you manage your staff to manage complain​

Answers

One way to manage your staff to manage complaints would be  to establish clear procedures for handling complaints and regularly train staff on these procedures.

How to manage staff complaints ?

Establishing clear procedures for handling complaints and training staff helps to ensure that all complaints are handled consistently and effectively, reducing the potential for misunderstandings or conflicts to arise.

Additionally, creating an open-door policy for staff to voice their concerns and providing regular opportunities for feedback can help to identify and address issues before they escalate into complaints. Regular communication and coaching can also help to build strong working relationships and foster a positive workplace culture, reducing the likelihood of complaints in the first place.

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i cant figure out the second number ​

Answers

The second number is 37

Use a graphing utility to graph the cost and revenue functions in the same viewing window. Find the sales x necessary to break even (R = C) and the corresponding revenue R obtained by selling x units. (Round to the nearest whole unit.)
Cost Revenue
C = 7.8 √x + 22,000 R = 13.82x

Answers

The revenue corresponding to break even condition for selling x units is $4.28.

What is a cost function?

An evaluation of the model's accuracy in estimating the link between X and y is done using a cost function. In most cases, this is represented as a difference or distance between the projected value and the actual value. The price element (you may also see this referred to as loss or error.)

To break even (R = C) we have:

7.8 √x + 22,000 = 13.82x

Substitute the value of x = u² thus:

7.8u +22000 = 13.8u²

13.8u² - 7.8u - 22000 = 0

The quadratic formula is given as:

u = -b ± √b² - 4ac / 2a

u = -(-7.8) ± √(-7.8)²- (4)(13.82)(22000) / 2(13.82)

u = 7.8 ± 7.8 / 27.64

u = 7.8 + 7.8 / 27.64

u = 0.56

Back substituting the value of u:

x = u²

x = (0.56)²

x = 0.31

Substituting the value of x is R:

R = 13.82 (0.31)

R = 4.28

Hence, the revenue corresponding to break even condition for selling x units is $4.28.

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You are interested in the development of language in bilinguals. You are able to locate five families in the word with 18-month-old toddlers who are learning both Swahili and Vietnamese simultaneously. Given that these are the only families that fit this qualification, therefore, these five families are your study population. You test the children to see how many words they can speak in Swahili. The results are listed in the following table: Calculate the mean for this population. Complete the following table. Calculate the variance and standard deviation for this population.

Answers

The mean for this population is 55. The variance and standard deviation for this population are 94.8 and 9.74

The data is given for five families and their children are tested to see how many words they can speak in Swahili.

Toddler     Number of words(X)        X - M         (X - M)²

   A                        47                          - 8                64

   B                        73                           18               324

   C                        56                            1                  1

   D                        46                          -9                 81

   E                        53                          -2                  4

                                                                              424

Mean of the population(M) = (∑X)/n

                                             = (47 + 73 + 56 + 46 + 53)/5

                                             = 275/5 = 55

Variance f population (σ²) = (X - M)²/n = 474/5 = 94.8

Standard deviation of population(σ) = √94.8 = 9.74

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In the coordinate plane, rhombus LMNO has vertices L(– 4,1), M(0,4), N(5,4), and O(1,1), and rhombus WXYZ has vertices W(– 9,– 1), X(– 1,– 7), Y(9,– 7), and Z(1,– 1). Select the sequence of transformations that can be applied to LMNO to show that it is similar to WXYZ.

Answers

On solving the provided question, we can say that Area of Rhombus is 24 cm²

What is Rhοmbus?

A rhombus is an equal-sided quadrilateral in Euclidean plane geοmetry. The term "equilateral triangle" alsο refers to a quadrilateral whose sides are of the same length. A parallelοgram has a unique variation knοwn as a rhombus. In a rhombus, the οpposite sides and angles are parallel and equal.

A rhombus's diagοnal is split in half by a right angle, and each of its sides is the same length. Rhombic diamοnds and diamonds are other names for rhοmbuses. The length οf every side is the same. Diagοnals are equal in a rhοmbus. At a 90° angle, parallel lines split in half, 180 degrees is the sum of adjacent angles.

By distance formula

BD = [tex]\sqrt{(-2-4)^2 + (-1-5)^2}[/tex]

BD = [tex]\sqrt{36 + 36}[/tex]

BD = 6√2

similarly,

AC = 4√2

and, Area = 1/2 × (product of diagonals)

Area of Rhombus = 1/2 × 6√2 × 4√2 = 24 cm²

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What is the correct answer answer asap for brainlist

Answers

Based on the information provided, the passage that explains the citation is "The outcome...is situational irony..." (option A).

What does explaining a citation mean?

When you cite information from other sources or authors, there are three elements that should be included:

Introduction: Introduce your citation, for example by saying "Twain claimed that..."Citation: Here you add the words of the author or you paraphrase them.Explanation: This step requires connecting the citation to your text by explaining its meaning.

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Consider event A and event B. What is the probability that event B occurs, given that event A has already occurred?
P(BNA)
P(A)-P(B)
OA
O B.
O C.
O D.
P(BNA)
P(A)
P(BOA)
P(B)
P(BUA)
P(5)

Answers

P(B A)=P(B)

Step-by-step explanation:Given situation that two events occurred event A and event B event A has already occurredtherefore, there is no relationship between them event A and event B since, the probability of B does not depend on any activity of A therefore, P(B A)=P(B)

The probability that event B occurs, given that event A has already occurred is P(A) = P(A ∩ B) / P(B | A).

What is an Event?

An event is the outcome of a chance experiment or a collection of similar outcomes.

As the sample space is a collection of all potential outcomes of a random experiment, it might be defined as every subset of that space.

When the event B is dependent on event A,

P(A ∩ B) ≠ P(A) x P(B)

When the event A comes before event B. So, the probability of B given A:

P(B | A) = P(A ∩ B) / P(A)

P(A) = P(A ∩ B) / P(B | A)

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