Mr. Starnes and his wife have 6 grandchildren: Connor, Declan, Lucas, Piper, Sedona, and Zayne. They have 2 extra tickets to a holiday show, and will randomly select which 2 grandkids get to see the show with them.
a. Give a probability model for this chance process.
b. Find the probability that at least one of the two girls (Piper and Sedona) get to go to the show.

Answer:

side BC and side DF

Step-by-step explanation:

side BC and side DF

The list of the sample space is s = {Q, R, S, T}. Option B is the correct option.

What is the sample space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.

The random experiment's sample spaces are written in curly brackets, "{ } ".

Given that a spinner wheel has four parts. It is labeled with the names Q, R, S, and T.

The elements of sample space are Q, R, S, and T.

The sample space is a set, thus write the elements in curly brackets.

The sample space is s = {Q, R, S, T}.

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Therefore, the slope of the line passing through the points (-3,4) and (2,-1) is -1

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things. The term "line" may also be used to describe a line segment in daily life that contains two locations that serve as its endpoints.

A line's steepness may be determined by looking at its slope. The slope is computed mathematically as "rise over run" (change in y divided by change in x). Also, The slope of a line is known as "m", is the ratio of the change in the y-coordinate to the change in the x-coordinate of two points on the line.

To find the slope of a line passing through the points (-3,4) and (2,-1), we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

So, using the given points:

m = (-1 - 4) / (2 - (-3))

m = -5 / 5

m = -1

Therefore, the slope of the line passing through the points (-3,4) and (2,-1) is -1

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Hello there!

Answer:

y = ± 13

Step-by-step explanation:

[tex]y {}^{2} - 58 = 25 \times 4 + 11 \\ y {}^{2} - 58 = 100 + 11 \\ y {}^{2} - 58 = 111 \\ y {}^{2} - 58 - 111 = 111 - 111 \\ y {}^{2} - 169 = 0 \\ (y + 13)(y - 13) = 0 \\ y = - 13 \: \: \: and \: \: \: y = 13[/tex]

The first twenty digits after the decimal point of 7/11 when written as a decimal are: 6363636363636. The sum of these digits is 108.

Answer:

Step-by-step explanation:

Answer:

55

Step-by-step explanation: i think

Answer:

Step-by-step explanation:

it would be 55 because he does 11 each minute.

The main unknown at this point is "the number of adult tickets." The "number of children's tickets" is another factor that is unknowable. In order to assign two variables, do as follows:

Let a = # of adult tickets

and c = # of children's tickets.

Any traits, figures, or amounts that may be gauged or counted are considered variables. Another name for a variable is a data item. Variables include things like age, sex, business income and expenses, birthplace, capital expenditures, class grades, eye color, and vehicle type.

Setting up the equations using the unknowns that follow the word problem is the next step. Here are the details:

There are 460 tickets total because there are an adult ticket and a child ticket.

a + c = 460.

Now that we know we want to find the number of adult tickets, we can translate the basic equation a + c = 460 into terms of a:

a + c  = 460

-a       = -a        (For example, use -a to delete a from the left side of the equation on either side.)

c = 460 - a

We can now enter the equation c into the other equation, 8.75a + 3.50c = 3143, since we have the equation c expressed in terms of a.

Now, we need to find the value of c in the first equation so that we can plug it into the second equation:

292 + c = 460

-292     = -292

c =  168

(8.75 × 292) + (3.50 × 168) = 3143

2555 + 588 = 3143

3143 = 3143  

Therefore, We each have 3143

The  complete question is:

For a show adult tickets are $8.75 and children's tickets are $3.50. 460 tickets were sold for a total of 3143 how many adults tickets were sold?

Adult ticket = 8.75

child ticket = 3.50

460 tickets we're sold totaling 3143

how many adults tickets were sold

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On solving the provided question, we can say that by linear equation  $249.67  money was raised from the raffle

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here,

the linear equation that can be formed is

200x + 24 y = 3.50

125 x + 20y = 5

ratio = 8:1

so,  $249.67  money was raised from the raffle

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To ride a bike to school Torrin takes 15.75 min to ride to school and 3.54 km is the distance from his house to school.

Let  v₁ = 13.5 km/h the speed to school

v₂ = 10.5 km the speed returning home

t = the time of the ride to school in minutes

36 - t = the time of the ride from school in minutes

Since, distance = speed × time

⇒v₁ × t/60 = v₂ × (36 - t)/60

⇒13.5 × t/60 = 10.5 × (36 - t)/60

⇒t = 15.75 min

Now, the distance = v₁ × t/60 = 13.5 × 15.75/60 = 3.54 km.

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Answer:

B is the perfect square

Step-by-step explanation:

Answer:

Terms = 2

Degree = 10

Step-by-step explanation:

Terms are the values appearing separated by the the mathematical sign. for this question we have 2 terms only.

the degree of a polynomial is usually the largest degree of the individual terms. for our question it's degree 10 since it's the highest.

Answer:

-5 = |5|

Step-by-step explanation:

Absolute value is the number of distance from zero. Therefore, it doesn't matter if the number is positive or negative in absolute value it is always positive.

Any polynomial whose coefficients are all equal to zero is said to be a zero polynomial. As a result, the zero polynomial's degree is either undefined or set to -1.

The largest exponential power in a polynomial equation is called the polynomial's degree. Any polynomial's degree is determined only by its variables; coefficients are should be disregarded. The degree of a polynomial is given for an nth degree polynomial function with real coefficients and x as the variable with the largest power n, where n accepts whole integer values:  p (x) = [tex]$$p(x)=a_n x^n+a_{n-1} x^{n-1}+a_{n-2} x^{n-2}+\ldots+a_1 x^1+a_0$$[/tex]  in standard form is given as 'n'.

The largest power of a variable in a polynomial equation is the polynomial's degree. Only terms with variables are taken into consideration when calculating the degree of a polynomial function. The degree of a polynomial is determined by the variable term's maximum exponential power.

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On solving the provided question, we can say that - the linear equation y = 7x - 17 at x= 0; y = -17 and m = -17

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

y = 7x - 17

at x= 0

y = -17

and m = -17

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That would be [tex] \sqrt{113} [/tex]

Answer: So Jamie ran 3 1/2 miles on Monday and half that distance on Tuesday. We need to know how far she ran "in all" which are key words for "addition".

We need to add 3 1/2 + (1/2)(3 1/2)

It's probably easiest to do this by converting to an improper fraction.

So let's convert:

3 1/2 is the same as 7/2. now we can rewrite the problem:

7/2 + (1/2)(7/2)

= 7/2 + 7/4 . Now we need a common denominator:

7/2 = 14/4

Now we have 14/4 + 7/4 = 21/4.  Now we should convert to a mixed number.

21/4 = 5 1/4

So Jamie ran 5 1/4 miles in all.

Step-by-step explanation:

Answer:

5.25 or 5 1/4 (Whichever you prefer)

Step-by-step explanation:

To make it simpler, we will convert 3 1/2 to decimal format.

First, take 3 and multiply it by the denominator 2 of 1/2, then add that number to the numerator of 1/2

3 x 2=6 -> 6+1=7

now add the denominator 2 under 7 and we now have 7/2, the equivalent to the mixed number 3 1/2

Afterward, to get the decimal, divide the numerator by the denominator:

7 divided by 2=  3.5

Now halve 3.5 to get the number Jaimie ran on Tuesday -> 1.75

Then add both 3.5 (3 1/2) and 1.75 (1 3/4), to get 5.25 or 5 1/4, which is your answer.

It can be written in standard form as [tex]5x^2-2+3[/tex] and the degree of polynomial is 2 with leading coefficient as 2.5.

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is fairly simple (x and y). When attempting to solve systems of two linear equations, this form is also very helpful.

The values on which mathematical operations take place in an algebraic expression are known as terms in mathematics. Let's explain with the help of a term example. This algebraic expression has terms 8x and 9, respectively.

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The net of the display consists of one rectangle and two right triangles.  168 ft² is needed to make a display case. Hence option D is the correct option.

What is surface area?

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The surface area of the triangular prism is the display area of the glass.

The surface area of a triangular prism consists of one rectangle and two right triangles.

The length of the rectangle is (10ft + 6 ft + 8ft) = 24ft.

The width of the rectangle is 5 ft.

The area of a rectangle is the product of length and width.

The area of the rectangle is 24ft × 5ft = 120 square ft

The length of the base of the triangle is 8 ft and the height is 6ft

The area of the triangle is 1/2 × base × height = 1/2 × 8 × 6 = 24 square ft

The display area is 120 square ft + 2 ×24 square ft = 120 + 48 = 168 ft².

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The shaded region has a surface area of 7π.

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. Draw a square on a sheet of paper using a pencil. It is a two-dimensional figure. The area of the form on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.

Here,

find the area of the circle with radius =3 cm,

then subtract the areas of the two circles with radius 1 cm

pir^2 = the area of a circle with radius = r

=pi(3)^2 -pi(1)^2 - pi(1)^2

= 9pi -pi-pi

= 9π-2π

= 7π

The area of shaded region is 7π.

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A homogenous mixture of two or more components is referred to as a solution.

Solution Examples: Brass is an illustration of a solid solution. Liquid solutions include aqueous hydrochloric acid as an illustration (HCl in water). Air is an illustration of a gaseous solution.

1)When we combine salt (often table salt) and water, we create salt water.

2)By combining sugar and water, sugar water is created.

3)Mouthwash is made up of various chemicals that have been dissolved in water.

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Answer:

g(- 8) = 20

Step-by-step explanation:

substitute x = - 8 into g(x) , that is

g(- 8) = - 3(- 8) - 4 = 24 - 4 = 20

Answer:

The inverse property definition states when added together with its additive inverse, the sum of the two numbers will be zero. When a number is multiplied by its multiplicative inverse, the product will be one

Step-by-step explanation:

The area of the shaded region is, 201.0 cm².

What is circle?

A circle is a closed, two-dimensional figure in which all points in the plane are equally spaced apart from the center. The symmetry line of reflection is formed by each line that traverses the circle. Additionally, it is rotationally symmetric around the center for all angles.

In the given figure we have to find the area of the shaded region.

First to find the area of circle with radius 10cm.

Area of circle = [tex]= \pi r^2 = 3.14*(10)^2 = 3.14*100 = 314cm^2[/tex]

Now to find the area of circle with radius 6cm.

Area of circle = [tex]= \pi r^2 = 3.14*6^2=3.14*36 = 113.04 cm^2[/tex]

So, the area of the shaded region is,

[tex]314cm^2 - 113.04cm^2 = 200.96cm^2=201.0cm^2[/tex]

Hence, the area of the shaded region is, 201.0 cm².

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To begin, our game organizer will introduce participants to the escape game instructions and backstory. Teams will have 60 minutes to complete their chosen quest

An escape room, also known as an escape game, puzzle room, exit game, or riddle room is a game in which a team of players discover clues, solve puzzles, and accomplish tasks in one or more rooms in order to accomplish a specific goal in a limited amount of time. The goal is often to escape from the site of the game.

Once you’re ready to start the game, your team will watch a mission video. This video explains the world your team is now a part of, what you’re trying to accomplish, and why you only have 60 minutes to do so!Some missions are about escaping the room, like in a prison break room. Other missions might not be centered around escaping, but instead, you might be completing a heist or launching a martian spaceship.Here’s an example of the type of mission video that plays at the beginning of a game. This one is from The Escape Game’s The Heist!

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Answer:21 teams

Step-by-step explanation:because if you cont the black dots and read the question that would be the answer

The average time is 7.5.  The average is calculated by dividing the total number of values in a given set by the sum of all the values in that set.

An average is a single number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group. Average The arithmetic mean is calculated by adding a set of numbers, dividing by their count, and then taking the result.

If every number in a list is the same number, then that number also serves as the average for the list. Every one of the diverse varieties of average shares this characteristic.

An average of the values in a sample of data can be used to define a mean. In other words, the arithmetic mean is another name for an average. A mean is a term used to describe the average.

Average = Sum /  Count

Sum = 7.48 + 7.45 + 7.90 + 7.37 + 7.25 + 7.40 + 7.55 + 7.60

= 60 / 8

= 7.5

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The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Given expression,
h(x) = x² - 1

Since the above expression is of parabola, which has a decreasing curve from (-∞, o), simultaneously the function shows the negative rate of change until the function is decreasing, So the required interval for which the function shows the negative rate of change is (-∞, 0).

Thus, The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

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Both  f(x) = 2.3 and t(n) = 2.3" is not a function as they does not has any input variable.

f(x) = 2.3 is not a function because it's a constant value, it doesn't have any input x that could be used to produce a different output. It's just a number, and it's not a mathematical function.

t(n) = 2 · 3^n also doesn't represent a function because, again, it doesn't have any input n that could be used to produce a different output. It's also just a number, and it's not a mathematical function.

A mathematical function is a set of ordered pairs (input, output) such that for each input, there is only one output. A function must have at least one variable that can take different values and the output must depend on the input value. In other words, for each value of the independent variable, there is only one value of the dependent variable.

So, in the case of f(x) = 2.3 and t(n) = 2 · 3^n, there is no input variable that can produce different output, so they're not functions.

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Answer: A perimeter is the total length of all the sides of a polygon. It is calculated by adding up the lengths of all the sides of the polygon. For a polygon with distinct and non-overlapping sides, each side length contributes exactly once to the perimeter. So in such case, a side length of a polygon can never produce two different perimeters.

However, it's worth mentioning that, one side length of a function could be a side of a polygon and the other could be a side of another shape. Also, it's possible that a single side length of an object is connected to a different set of side length, generating different perimeters.

For example, the length of an arc of a circle can be considered as a "side length" of the circle and it can be used to calculate both the perimeter of the arc and the circumference of the full circle, which are different measurements.

Also, a circular pool has a radius, but it's perimeter is the circumference, and this length is produced by the same radius but it's a different perimeter from the length of the radius.

In summary, a side length can produce different perimeter if we are talking about different shapes and measurements.

Step-by-step explanation: