A is the event that the student drives, and B is the event that the student went to the movies in the past month.
A Venn Diagram. One circle is labeled A (A and B Superscript C Baseline 0.06), another is labeled B (A Superscript C Baseline and B 0.22), and the shared area is labeled A and B (0.35). The area outside of the diagram is labeled A Superscript C Baseline and B superscript C Baseline 0.37.
Use the Venn diagram to answer the following questions.
What is the probability that a randomly selected student does not drive?
What is the probability that a randomly selected student went to the movies in the past month?
What is the probability that a randomly selected student drives or went to the movies in the past month?

A Is The Event That The Student Drives, And B Is The Event That The Student Went To The Movies In The

Answers

Answer 1

If an event that "student-drives" is denoted by "A", and event "student go for movie" is denoted by B, then

(a) Probability that randomly selected student do not drive is 0.59,

(b) Probability for randomly selected student go for movie last-month is 0.57,

(c) Probability that randomly selected student "drives" or "go for movie past month" is 0.63.

(a) To find the probability that a randomly selected student does not drive, we can use the complement of event A, which is A'.

From the Venn-Diagram, We know that;

(A and [tex]B^{c}[/tex]) = 0.06, ([tex]A^{c}[/tex] and [tex]B^{c}[/tex]) = 0.37,  (A and B) = 0.35,  ([tex]A^{c}[/tex] and B) = 0.22,

We use the values of (A and [tex]B^{c}[/tex]) and (A and B) to calculate P(A):

P(A) = (A and [tex]B^{c}[/tex]) + (A and B) = 0.06 + 0.35 = 0.41;

So, P([tex]A^{c}[/tex]) = 1 - P(A) = 1 - 0.41 = 0.59,

The probability that randomly selected student do not drive is 0.59.

Part (b) : Probability that randomly selected student go for movies past month, is denoted by P(B).

So, P(B) = (A and B) + ([tex]A^{c}[/tex] and B) = 0.35 + 0.22 = 0.57.

The probability that randomly selected student go for movies past month is 0.57.

Part (c) : Probability that randomly selected student drives or go for movies past month, is denoted by union of events A and B, and We know that, P(A U B) = P(A) + P(B) - P(A and B);

Substituting the values,

We get,

= 0.41 + 0.57 - 0.35

= 0.63.

So, probability that randomly selected student drives or go for movies past month is 0.63.

Learn more about Probability here

https://brainly.com/question/21537697

#SPJ1


Related Questions

Convert this equation into standard form

Answers

The standard form of the given equation is expressed as; 3x + y = -1

How to write a Linear Equation is standard form?

The standard form for linear equations in two variables is expressed as; Ax + By = C

We are given the equation as;

y - 5 = -3(x + 2)

Expanding the bracket gives us;

y - 5 = -3x - 6

Add 3x to both sides to get;

y - 5 + 3x = -6

Add 5 to both sides to get;

3x + y = -1

Read more about Linear equation in standard form at; https://brainly.com/question/1958920

#SPJ1

The local water slides have 70 employees, of which 40% are temporary. How many temporary employees are there?

Answers

There are 28 temporary employees

I need this asap because i will get in trouble if i don't pass this

Answers

-5+3(7.2-3.2)
-5+3(4)
-5+12
7

hope this helps
Answer:
7

Explanation:
order of operations is PEMDAS
Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.

-5 + 3 (7.2 - 3.2)

First you need to do the math for what is inside the parenthesis.
7.2 - 3.2 = 4

there are no exponents so next step is to multiply.

So you need to multiply
3 x 4 = 12

then there is no division so next step is to add.
-5 + 12 = 7

that is the pest step since there is no subtraction

Which set of numbers can represent the side lengths in inches of a right triangle?A. 8,12,15B. 10,24,26C. 12,20,25D. 15,18,20

Answers

The set B represent the side length in inches of a right triangle.

Now, According to the question:

Let's know:

What is Pythagoras Theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, [tex]a^2 + b^2 = c^2.[/tex]

Where  a and  b are the two legs of the triangle and c is the length of the hypotenuse [THE LONGEST SIDE].

We can square each leg on the triangle and take the sum, if that is equal to the square of the longest side, we have a right triangle. Let's check for all of these.

A) [tex]8^2+12^2=15^2[/tex]

64 + 144 = 225

208 ≠ 225

This is not a right triangle.

B) [tex]10^2+24^2=26^2[/tex]

100 + 576 = 676

676 = 676

This is a right triangle.

C) [tex]12^2 + 20^2=25^2[/tex]

144 + 400 = 625

544 ≠ 625

This is not a right triangle.

D) [tex]15^2+18^2=20^2[/tex]

225 + 324 = 400

549 ≠400

This is not a right triangle.

Hence, The set B represent the side length in inches of a right triangle.

Learn more about Right Triangle at:

https://brainly.com/question/22215992

#SPJ4

Julie wanted to match Lisa's obstacle course record of 68.2 seconds. She has already spent thirty-nine and one fourth seconds on wall climbing and 12.84 seconds on the ropes. How much time did she have left to match the record? 12.24 seconds 16.11 seconds 26.41 seconds 28.95 seconds

Answers

The time she has left to match the record is 16.11 seconds. The correct answer would be an option (B).

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

To match Lisa's obstacle course record of 68.2 seconds, Julie needs to complete the course in 68.2 seconds.

We know that she has already spent 39.25 seconds on wall climbing and 12.84 seconds on the ropes.

So, the time she has left to match the record is:

68.2 - (39.25 + 12.84) = 68.2 - 52.09 = 16.11 seconds

In the above step, use the arithmetic operations to solve.

Hence, the answer is 16.11 seconds.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ1

What is the factor theorem formula?

Answers

The Factor Theorem states that if a polynomial P(x) has a factor (x-a), then P(a) = 0. In other words, if x-a is a factor of the polynomial, then the value of the polynomial when x=a is equal to zero.

The factor theorem is a fundamental concept in algebra and polynomial functions. This can be useful for determining the roots of a polynomial equation.

Key points:

The factor theorem only applies to polynomials, not other types of functions.The factor (x-a) must be a factor of the polynomial, not just a term.The value of P(a) will be zero only if x-a is a factor of the polynomial, not if it is just a root.The factor theorem can be used to find the roots of a polynomial equation by setting P(x) = 0 and solving for x.The factor theorem is closely related to the remainder theorem, which states that if P(x) is divided by (x-a), the remainder is P(a).

In summary, The Factor Theorem is a fundamental concept in Algebra and Polynomials, it helps us understand the relationship between the roots and the factors of a polynomial equation and how a root of a polynomial is related to the value of the polynomial evaluated at that point.

Learn more about the Factor theorem here:

https://brainly.com/question/24426167

#SPJ4

How do you find the center of enlargement of a triangle?

Answers

To find the center of enlargement, draw line segments between corresponding vertices of pre-image and image triangles, the point where they intersect is the center of enlargement, check that all the line segments intersect at the same point, or use the coordinates of the triangle and the scale factor.

You can follow these steps:

Identify the pre-image triangle. This is the original triangle that will be enlarged.Identify the image triangle. This is the enlarged version of the pre-image triangle.Draw a line segment between the corresponding vertices of the pre-image and image triangles.The point where these line segments intersect is the center of enlargement.To check that you have the correct center of enlargement, you can draw a line segment between any other corresponding vertices of the pre-image and image triangles and check that they intersect at the same point.

Another way to find the center of enlargement is to use the coordinates of the triangle and the scale factor. The center of enlargement is the point that remains the same distance from all points on the image and the pre-image. The center of enlargement is the point that the coordinates of the image triangle obtained from the coordinates of the pre-image triangle by multiplying each coordinate by the same scale factor greater than 1.

It's important to note that, the center of enlargement is the same as the center of dilation.

In both ways, it's important to have the pre-image triangle and the image triangle to find the center of enlargement.

To learn more about the triangle, visit:

brainly.com/question/2773823

#SPJ4

Which of the following ordered pairs is a solution to the inequality y is greater than one fourth times x plus 5? (12, 8) (11, 7) (8, 6) (4, 7)

Answers

The ordered pair that is a solution to the inequality:

y > (1/4)*x + 5

is (4, 7)

Which of the given ordered pairs is a solution for the inequality?

Here we have the inequality:

y > (1/4)*x + 5

To check if an ordered pair is a solution, we just need to replace the values of the ordered pair on the inequality and see if it is true.

For example, for (12, 8)

We will get:

8 > (1/4)*12 + 5

8 > 3 + 5

8 > 8

This is false, so (12, 8) is not a solution.

The pair that is a solution is:

(4, 7)

7 > (1/4)*4 + 5

7 > 1  + 5

7 > 6

This is true.

Learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

The area of a rectangle is 14 1/2 sq cm and one side is 4 1/2 cm. how long is the other side?

Answers

Answer:

6cm*4.5cm = 27cm²

5cm*5cm = 25cm²

The first has a greater area - by 2 square centimeters.

Step-by-step explanation:

Answer:5 1/2

Step-by-step explanation:

4 1/2+4 1/2=9

14 1/2 -9=5 1/2

How many vectors are there in 3D Mcq?

Answers

There are three vectors in three-dimensional space, namely the X-axis, the Y-axis, and the Z-axis.

What is vector?

Vector is a term used to describe a mathematical quantity that has both magnitude and direction, such as velocity, force, and acceleration. A vector can be represented by an arrow, with its length representing the magnitude and its direction indicating the direction. Vectors can be added together or scaled to create new vectors. Vector operations are essential in physics, engineering, and other fields of mathematics.

Each of these vectors has a magnitude and direction and can be used to represent any point in 3D space. All three axes intersect at the origin, which is the point (0,0,0). Vector algebra can be used to describe and calculate the relationships between these vectors in 3D space.

To know more about vector click-
https://brainly.com/question/15519257
#SPJ4

A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is meters from the base of the cliff. The angle of elevation from sea level to the base of the lighthouse is . The angle of elevation from sea level to the top of the lighthouse is . Find the height of the lighthouse from the top of the cliff. Do not round any intermediate computations. Round your answer to the nearest tenth. Note that the figure below is not drawn to scale.

Answers

There is no numbers provided, but this is how you solve it.

We can use the tangent function to solve for the height of the lighthouse.

Let h be the height of the lighthouse from the top of the cliff.

tan(angle of elevation from sea level to the top of the lighthouse) = (h+ height of lighthouse from sea level ) / distance from the base of the cliff

tan( angle of elevation from sea level to the top of the lighthouse) = (h+x) / distance from the base of the cliff

tan(angle of elevation from sea level to the base of the lighthouse) = (h) / distance from the base of the cliff

By dividing the first equation by the second equation

(h+x) / distance from the base of the cliff = tan( angle of elevation from sea level to the top of the lighthouse) / tan( angle of elevation from sea level to the base of the lighthouse)

(h+x) = (h) * (tan( angle of elevation from sea level to the top of the lighthouse) / tan( angle of elevation from sea level to the base of the lighthouse))

h = (x * tan( angle of elevation from sea level to the base of the lighthouse)) / ( tan( angle of elevation from sea level to the top of the lighthouse) - tan( angle of elevation from sea level to the base of the lighthouse))

After plugging in the values into the equation, we get:

h = (x * tan( )) / ( tan( ) - tan( ))

Round to the nearest tenth

h = (x * tan( )) /

How do you find the perpendicular bisector of a line segment?

Answers

The perpendicular bisector can be found by solving for the equation of the line and substituting the two points.

The perpendicular bisector of a line segment can be found by using the midpoint formula. The midpoint formula is used to find the midpoint of two points (x1,y1) and (x2,y2). The formula is:

Midpoint = (x1 + x2)/2, (y1 + y2)/2

Once the midpoint is found, the slope of the perpendicular line is found by using the negative reciprocal of the original line. The formula for the slope of the perpendicular line is y = -1/m * x + b, where m is the slope of the original line.

The equation of the perpendicular bisector is then found by substituting the slope and the midpoint into the equation of a line, y - y1 = m(x - x1).

Finally, the perpendicular bisector can be found by solving for the equation of the line and substituting the two points. The resulting equation is the equation of the perpendicular bisector.

Learn more about perpendicular bisector here:

https://brainly.com/question/12896755

#SPJ4

What is the surface area of a triangle having a base of 6m and 8m high?

Answers

Hi !

[tex]A= \frac{b \times h}{2} = \frac{6 \times 8}{2} = 24m {}^{2} [/tex]

Have a nice day ;)

A bakery sells different packages of muffins. The number of muffins, , and the price in dollars, , of their packages of muffins are given in the ordered pairs below. The set of ordered pairs is a relation that is also a function.


The bakery is considering adding a new package of muffins. Which of these combinations would make the relation NOT a function? Select TWO that apply.


Answers

A relation could be a function or it could not. Since b. (6, 8) and d. (4, 3), the connection would no longer be a function.

What are combinations?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

You can choose the components of combos in any order.

Permutations and combinations can be mixed up.

So, given is the ordered pair:

(x, y) = (1, 2); (2, 3); (4, 5); (6, 7); (12, 13)

All of the x-values in a relation must be distinct for it to be a function (i.e. no repetition)

The x values of choices (b) and (d) already exist in the ordered pair, namely (6,7) and (d), from the list of alternatives given (4,5)

Accordingly, (b) and (d) would prevent the relation from being a function.

Therefore, a relation could be a function or it could not. Since b. (6, 8) and d. (4, 3), the connection would no longer be a function.

Know more about combinations here:

https://brainly.com/question/11732255

#SPJ1

Correct question:

A bakery sells different packages of muffins. The number of muffins, x, and the price in dollars, y, of their packages of muffins are given in the ordered pairs below. The set of ordered pairs is a relation that is also a function.

{(1,2),(2,3),(4,5),(6,7),(12,13)}

The bakery is considering adding a new package of muffins. which ordered pairs would make the relation NOT a function? Choose all that are correct.

a. (10,13)

b. (6,8)

c. (8,12)

d. (4,3)

e. (24,18)

Find the equation of the line passing through the given point and perpendicular to the given line​

Answers

Answer:

5x + y = 34

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x - 5y = 8 ( subtract x from both sides )

- 5y = - x + 8 ( divide through by - 5 )

y = [tex]\frac{1}{5}[/tex] x - [tex]\frac{8}{5}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{5} }[/tex] = - 5 , then

y = - 5x + c ← is the partial equation

to find c substitute (5, 9 ) into the partial equation

9 = - 25 + c ⇒ c = 9 + 25 = 34

y = - 5x + 34 ← equation of perpendicular line in slope- intercept form

add 5x to both sides

5x + y = 34 ← equation in standard form

What is the area of a circle with a diameter of 5 m? use 3.14 for pi. round to the nearest tenth. responses a. 7.9 m² b. 15.7 m²c. 19.6 m² d. 78.5 m²

Answers

The area of a circle with a diameter of 5 m is 19.63 m², rounded to the nearest tenth, it would be 19.6 m². So the answer is c. 19.6 m².

What is circle ?

A circle is a two-dimensional geometric shape defined as the set of all points that are a fixed distance, called the radius, from a central point, called the center. A circle is the set of all points in a plane that are at a given distance from a given point, the center.

The area of a circle is given by the formula A = [tex]\pi r^{2}[/tex], where r is the radius of the circle. To find the area of a circle with a diameter of 5 m, we first need to find the radius. We can do this by dividing the diameter by 2:

r = 5 m / 2 = 2.5 m

Then we can substitute this value of r into the formula for the area of a circle:

A = [tex]\pi r^{2}[/tex] = π(2.5 m)^2 = 3.14 * 6.25 m^2 = 19.63 m²

So the area of a circle with a diameter of 5 m is 19.63 m², rounded to the nearest tenth, it would be 19.6 m². So the answer is c. 19.6 m².

To learn more about circle visit : brainly.com/question/29142813

#SPJ4

Answer:

The Area of a circle with a diameter of 5 m is 19.63 m² rounded to the Nearest tenth, it would be 19.6 m².  the answer is c. 19.6 m².

Step-by-step explanation:

good luck to you

A system of linear equations with exactly one solution is a(n) __________ system.

Answers

Answer:

independent

Step-by-step explanation:

A system of linear equations with exactly one solution is a _independent   system.

Does anybody know what 5 1/3 minus 3 2/3 and 8 4/7 minus 7 5/7 is? And if possible try simplifying the answers.

Answers

Answer: 5 1/3 - 3 2/3 = 1 2/3. 8 4/7 - 7 5/7 = 6/7. Yes its simplified and 100% correct.

Step-by-step explanation:

Write an equation of the passes through the given point and has the given slope? 1.(10, -4); slope - 2/5

Answers

The equation of the line that passes through the point (10, -4) and has the slope -2/5 is y = 2/5 x

How to identify the equation of the line

The slope, m of the linear function is given as -2/5.

The equation of the line that passes through point (10, -4) is calculated using the point slope formula which is given as:

x₁ = 10

y₁ = -4

m = -2/5

substituting in to the formula

(y - y₁) = m (x - x₁)

y + 4 = -2/5 (x - 10)

y + 4 = -2/5 x + 4

y = 2/5 x + 4 - 4

y = 2/5 x

The equation of the line is given as y = 2/5 x

Learn more about linear functions at:

https://brainly.com/question/30125370

#SPJ1

Is 0 0 an infinite solution?

Answers

Since 0 = 0 for any value of x, the system of equations has infinite solutions.

What is  infinite solution?

Both sides of an infinite solution are equal. As an illustration, 6x + 2y - 8 = 12x + 4y - 16 Using a formula or method for infinite solutions, you can simplify the equation and make both sides to equal one another, making it an infinite solution. The concept of infinite connotes boundlessness or infinity. Typically, it is denoted by the symbol "".

What is an infinite number?

There are an unlimited number of numbers in a series. a collection of infinitely many natural integers, as an illustration. The initial value 0, and the initial value infinite, are represented by the logarithms and +, respectively.

                     The original values 0 and infinity are similarly treated when we consider both of the conceivable values and + as a single infinity.

Learn more about infinite solution

brainly.com/question/29093214

#SPJ4

Please help me with my work

Answers

Answer: 3k^2

Step-by-step explanation:

2. What is the new balance for the credit statement shown?
Billing
Date
Payments
& Credits
12/11/--
$70.94
Previous
Balance
$185.74
Finance
Charge
$2.71
New
Purchases
$49.80
New
Balance

Answers

So, here on solving the provided question, we can say that the New balance is as [tex]397.51[/tex]

What is balance ?

A balance is the sum owing to an account in banking and accounting. The difference between the total debits and total credits posted to an account during an accounting period is referred to as a "balance" in accounting. The account will display a debit balance if the total of all debits exceeds the total of all credits.

Using the above data, first calculate the outstanding balance by using the formula below:

Previous balance-payments  is as  Unpaid balance

Unpaid balance is as [tex]95.85-45[/tex]

Unpaid balance is as [tex]50.85[/tex]

Finance charge is as [tex]50.85*1.5%[/tex]

Finance charge is as [tex]0.76[/tex]

New balance is as [tex]50.85+0.76+345.90[/tex]

New balance is as [tex]397.51[/tex]

To know more about balance visit:
https://brainly.com/question/30122278

#SPJ1

A gym has soccer balls and basketballs. The ratio of soccer balls to basketballs is 3:2. The number of soccer balls at the gym is shown. How many basketballs does the gym have?

Answers

Answer: If the ratio of soccer balls to basketballs is 3:2, that means for every 3 soccer balls, there are 2 basketballs.

Let's say there are x soccer balls at the gym.

The ratio can be represented as 3x:2x

So the number of basketballs at the gym would be 2x.

So if you know the number of soccer balls at the gym, you can find the number of basketballs by multiplying the number of soccer balls by 2/3.

For example, if the gym has 18 soccer balls, the number of basketballs would be 2/3 * 18 = 12 basketballs

Step-by-step explanation:

A number cube is rolled 50 times and the results are shown in the graph. Determine the experimental probability of rolling a 1.

Answers

Based on the information, we can conclude that we have a 5% chance (probability) of getting 1 in this test of throwing the dice 50 times.

How to calculate the probability of getting 1 according to the results?

Taking into account the results of the graph, we can establish the probability of getting the number 1 in the 50 throws made. To do this, we must perform the following procedure:

50 / 100 = 0.50.5 * 10 = 5%

In accordance with the above and based on the results of the test we can establish that we have a 5% probability of getting 1. This could be expressed as a 0.05 probability, in which 0 is not at all likely and 1 is very likely.

Note: This question is incomplete because there is some information missing. Here is the complete information:

Image attached

Learn more about probability in: https://brainly.com/question/11234923

#SPJ1

How to solve
-y - 10=6x
5x + y= -10
Using the system by elimination

Answers

One way to solve a system of equations by elimination is to add or subtract the equations in such a way that one variable is eliminated. Here's one way to use elimination to solve the system of equations:
-y - 10 = 6x
5x + y = -10

First, we can add or subtract the equations in such a way that one variable is eliminated.
Add the equations :
-y - 10 + 5x + y = 6x + -10
5x = -20
x = -4
now we have x = -4 we can substitute this value in any of the equations we have.
let's substitute x = -4 in the first equation
-y -10 = 6*(-4)
-y = -40
y = 40
we have x = -4 and y = 40
we could check the solution by substitute x = -4 and y = 40 in the second equation
5*(-4) + 40 = -10
and we get 20+40 = -10, which is true.
therefore the solution for the system of equations is x = -4, y = 40

The cost of 1 cap and 1 wallet is
£28.
The cost of 2 caps and 1 wallet is
£45.
a) How much does 1 cap cost?
b) How much does 1 wallet cost?

Answers

Answer:

1 cap costs 17 dollars

1 wallet is 11

Step-by-step explanation:

45 - 28 = 17

The difference between one wallet and a cap and two caps and a wallet is 17, therefore each cap is 17 dollars

28 - 17 = 11

I hope this helps have a good day (:

9 gems will craft a diamond block what do you notice about the rate? write an equivalent ratio to represent this rate

Answers

The unit rate of the diamond block is 9

The equivalent ratio of the unit rate of the diamond block is 9/1

What is unit rate?

A unit rate is the cost for only one of anything.

This is expressed as a ratio with a denominator of 1.

For instance, if you covered 60 meters in 10 seconds, you did so at an average speed of 6 meters per second.

Although both of the ratios 60 meters in 10 seconds and 6 meters in one second are rates, only the latter is a unit rate.

For the problem, 9 gems will craft a diamond block this means that

9 gems = 1 diamond block, hence for every diamond block 9 gems will be used

The unit rate is 9/1

Learn more about unit rate at:

https://brainly.com/question/4895463

#SPJ1

Please I’m gone faillll helpppooop

Answers

On solving the question of the polynomial The quotient = 3x+8 and remainder are  and 2 respectively.

What are Polynomials ?

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

A polynomial is an equation made up of coefficients and indeterminates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.

Polynomial long division is an extended variant of the well-known mathematical operation known as long division. It is an algorithm for dividing a polynomial by another polynomial of the same or lower degree. Due to the fact that it breaks down a more difficult division issue into simpler ones, it may be completed quickly by hand.

Dividing 3x^3 - 2X^2 + 2x - 1 by x-1

= 3x+8

The quotient = 3x+8 and remainder are  and 2 respectively.

To learn more about Polynomials refer to :

brainly.com/question/29123928

#SPJ1

An
elementary school teacher with 25 students plans to have each of them make a poster about two different states. The teacher first numbers the states (in alphabetical order, from
01 to 50), then uses a random number table to decide which states each kid gets. The random digits are 33874 64946 29977 66233.
a) Which two state numbers does the first student get?
b) Which two state numbers go to the second student?

Answers

Therefore , the solution of the given problem of combination comes out to be a) 45 and 10 b) 17 and 10

Define combination.

Combinations are mathematical procedures that count the number of possible configurations from a set of items, where the selection direction is immaterial. You can select any arrangement of the parts in any combination. It's possible to mix together combinations and permutations.

Here,

Given :

Total students = 25

a) The first state is represented by the first two-digit number in the random digits, which is 45.

The following random two-digit number, which does not represent a state, is 92.

The following two-digit number in the random sequence is 10, which stands for the first student's second state.

b) The second student's initial state is represented by the following two-digit number (17) from the random digits.

Ten symbolizes the second state for the second state and is the first two-digit number of the random digits.

Therefore , the solution of the given problem of combination comes out to be a) 45 and 10 b) 17 and 10

To know more about combination , visit

https://brainly.com/question/20211959

#SPJ1

What are the 3 different types of solutions a 2 variable system can have?

Answers

The 3 different types of solutions a 2 variable system can have are a unique solution, no solution and many solutions.

There are 3 types of systems of linear equations which are as follows:

Dependent: The system has infinitely many solutions. The graphs of these equations represent the same lines.

Example: [tex]\left \{ {{2x + 2y = 4} \atop {4x + 4y = 8}} \right.[/tex]

The system has infinitely many solutions.

Independent: The system has exactly one solution. The graphs of these equations intersect at a single point.

Example: [tex]\left \{ {{x + y = 5} \atop {x - y = -1}} \right.[/tex]

The only solution to the system is (2, 3)

Inconsistent: The system has no solution. The graphs of these equations are parallel lines.

Example: [tex]\left \{ {{x + 2y = 9} \atop {2x + 4y = 7}} \right.[/tex]

The system has no solution.

To know more about linear equations, here

https://brainly.com/question/29739212

#SPJ4

Other Questions
WHICH LINE IS PERPENDICULAR TO THE LINE WITH EQUATION Y = -1/2X? All of the following are considered characteristics of health-related physical fitness EXCEPT Group of answer choices balance cardiorespiratory endurance muscular endurance muscular strength Flag question: Question 39 Examine the first two steps for solving this equation. 3x - 6(5x 3) = 9x 6 1. distribute: 3x - 30x - 18 = 9x 6 2. combine like terms: -27x - 18 = 9x 6 what could be the coefficient of x once the variable term is isolated on one side of the equation? check all that apply. 36 27 24 24 27 36 PLEASE HELP AND EXPLAIN Which of the following foods would be least likely to contribute to the development of heart disease Demarino used personalized communications with the surgeon, hospital, and staff as he established the relationship. using personalized communications provides a(n) _______________. The function y=f(x)is graphed below. What is the average rate of change of the function f(x) on the interval 7x8? Drag each equation and coordinate to the correct location on the table. Not all equations or coordinates will be used.In the table below, quadratic equations are given in standard form. Rewrite each equation in the form that reveals the maximum orminimum value, and then identify the coordinate point of that extreme value. the _______ is the central organ in the circulatory system. it has four chambers. When an embargo is placed on a country, no imports from or exports to that country are allowed. True or false?. HELP PLEASE!!!Drag each tile to the correct box.Arrange the events in the correct order of their occurrence.1) Rise of the Roman Empire, 40 BC2) Destruction of Jerusalem by the Romans, AD 703) Decline of Olmec culture, 400 BC4) Early Middle Ages begin in Europe, AD 4005) Zhou Dynasty in China founded, 1000 BC6) Fall of Han Dynasty in China, AD 200 The sequence of steps that starts with the sensory receptors in the eye changing light information from the world into electrical signals sent by neurons is an example of _______________ All of the following are true statements about phosphor storage plate (PSP) imaging system imaging plates except they: Which of the following would DECREASE the NPV of a project being considered, other things held constant 2. The public information strategy includes the types of information to be distributed, the procedures for distributing information, procedures for updating or correcting information, and: Given that 20=20+18+16+...+x, how many terms are on the right side of the equation A simple random sample of size n is drawn from a normally distributed population, and the mean of the sample is x Overbar, while the standard deviation is s. What is the 90% confidence interval for the population mean The point within earth where an earthquake occurs is called the , and the point on earth's surface directly above this location is called the .___________. In at least 150 words, explain how richard wrights use of dialogue in the short story "the man who was almost a man" contributes to the overall meaning of the story. provide specific textual evidence to support your response. With a reserve ratio of .5, an increase in deposits of $100 will result in an increase in money of _____.