1. From the information given in the triangles, are these triangles always, sometimes, or never congruent?
A. always
B. sometimes
C. never
D. cannot be determined

To find the expected value of the sum of the numbers on the two selected pieces of paper, we need to calculate the probability of each possible outcome and then multiply that probability by the value of the outcome. The expected  value of the sum of the numbers on the two selected pieces of paper is 6.1625.

Therefore the answer is 6.1625.

The possible outcomes for the first bag are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, each with a probability of 1/10.

The possible outcomes for the second bag are 20, 21, 22, 23, 24, 25, 26, 27, each with a probability of 1/8.

The possible outcomes for the sum of the numbers on the two selected pieces of paper are:

(1,20) ,(1,21) ,(1,22) ,(1,23) ,(1,24) ,(1,25) ,(1,26) ,(1,27)

(2,20) ,(2,21) ,(2,22) ,(2,23) ,(2,24) ,(2,25) ,(2,26) ,(2,27)

(3,20) ,(3,21) ,(3,22) ,(3,23) ,(3,24) ,(3,25) ,(3,26) ,(3,27)

...

(10,20) ,(10,21) ,(10,22) ,(10,23) ,(10,24) ,(10,25) ,(10,26) ,(10,27)

The expected value of the sum of the numbers on the two selected pieces of paper is the sum of the products of each possible outcome and its corresponding probability.

The probability of each outcome is (1/10) * (1/8) = 1/80

So the expected value of the sum of the numbers on the two selected pieces of paper is

(1 + 21)×(1/80) + (1 + 22)×(1/80) + (1 + 23)×(1/80) + (1 + 24)×(1/80) + .... + (10 + 27)×(1/80) = (21 + 22 + 23 + 24 + ... + 37)/80

= (20×17 + 1 + 2 + ... + 17)/80

= (340 + 17×(17 + 1)/ 2)/ 80

= (340 + 17×9)/ 80

= 6.1625

So the expected value of the sum of the numbers on the two selected pieces of paper is 6.1625

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On solving the question, by linear equation One bagel is 100*1.55 = 155 cents in dollars.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept.

A toast costs =  x dollars.

A bagel costs  = y dollars.

A muffin costs = z dollars.

It costs $3.15 for two pieces of toast and a bagel.

As a result, 2x + y = 3.15. To get the price of a bagel, we express x as a function of y,

2x = 3.15 —Y

x = -o.5y+ 1.575

It costs $3.30 for a bagel and a muffin.

Since x and z are functions of y,

—0.5y + 1.575 + + 3(3.3 — y) 9.15

—0.5y + 1.575 +2y + 9.9—3y = 9.15

—1.5y + 11.475 = 9.15

1.5y = 2.325

2.325

Y = 1.55

One bagel is 100*1.55 = 155 cents in dollars.

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The rate of change, y=−√x−4 +5 , is expressed as 1/5−2i/5 .The square root of a number is the number itself.

A number can be obtained by multiplying the square root by itself. Square root is represented by the symbol sqrt, which stands for square root of, end square root. The reverse of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number can be found by looking for a number that, when squared, yields the original value. If 'a' is the square root of 'b,' then a a = b.

given

Use the average rate of change formula to substitute.

(√1)−(√−4) / (1)−(−4)

Condense the phrase.

1/5−2i/5

The rate of change, y=−√x−4 +5 , is expressed as 1/5−2i/5 .The square root of a number is the number itself.

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The slope of a logarithmic graph depends on the type of logarithm used.

For a logarithmic function in the form y = log(b,x) where b is the base of the logarithm, the slope of the graph is undefined for x=0 and for x<0 because logarithmic functions are not defined in those cases.

For a natural logarithm, the slope is negative infinity at x=0 and positive for x > 0. As x increases, the slope becomes closer to zero.

For a common logarithm, the slope is negative infinity at x=0 and positive for x > 0. As x increases, the slope becomes closer to zero.

It's important to note that logarithmic functions are not linear functions, and therefore they do not have a constant slope, the slope of a logarithmic graph will change throughout the graph.

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Using the provided data, We should consider the mid-value for the number of students and take the average of percentage to find the estimate number, The answer is 168.

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It is used to make decisions, predictions and gain knowledge from data. It involves using statistical methods to collect, summarize, and draw conclusions from data. It is used in various fields such as business, economics, social science, engineering, and medicine. It helps to make sense of complex data and make informed decisions.

In statistics, an estimate is a value that is calculated from a sample of data in order to approximate a population parameter. The most common examples of estimates are sample mean, sample proportion, sample standard deviation, and sample variance. These estimates are used to infer information about the population from which the sample was drawn. For example, an estimate of the population mean is calculated by taking the average of a sample of data and using that value to infer the value of the population mean.

mid-value of 500-600 = 550

average % = 30.5%

Athletes number = 30.5% of 550

=168

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Answer:

f(8) = -68

Step-by-step explanation:

f(x) = -x² - 2x + 12

f(8) = ?

We just need to put 8 in for the x and solve it

f(8) = -(8)^2 -2(8) + 12

f(8) = -64 -16 +12

f(8) = -80 + 12

f(8) = -68

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.

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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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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The range of f is C.

What is range?
Range is the difference between the highest and lowest values in a set of data. It is a measure of variability, providing an indication of how widely values in the data set are dispersed from one another. In statistics, range is an important tool that helps to describe and summarize data. Range is also used to measure the dispersion of data within a data set, including the degree of spread or variability in the data.

-6<_f(x)<_6. This means that the f(x)-values range from -6 to 6, including -4 and -3. The range of f does not include -3, 3, 6, and 7, which are not within the range of -6 to 6.

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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:

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.

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.

4 is the range of the data set in the given set.

The space between the highest and lowest values in a data collection is known as the range. Similar units to the data are used to quantify variability. Variability is increased with larger values. The range has several limitations but is the most straightforward statistical measure of dispersion to compute and comprehend.

This means that the range might alternatively be described as the distance between the highest and lowest observation.

In the given data set,

range = maximum frequency - minimum frequency

range = 5 - 1

range = 4

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The exponential function that best models this data is given as follows:

C. y = 80(0.75)^x + 20.

An exponential function, considering it's asymptote, is defined as follows:

y = a(b)^x + c.

In which the parameters are given as follows:

From the graph, the horizontal asymptote is at y = 20, hence the parameter c is defined as follows:

c = 20.

When x = 0, y = 100, hence the parameter a is obtained as follows:

100 = a(b)^0 + 20

a + 20 = 100

a = 80.

When x = 5, y = 40, hence the parameter b is obtained as follows:

40 = 80b^5 + 20

80b^5 = 20

b^5 = 1/4

b = (1/4)^(1/5)

b = 0.75. (approximately).

Hence the function is defined as follows:

y = 80(0.75)^x + 20.

Meaning that the correct option is given by option C.

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The symbol ∑ (sigma) is used to represent the sum of a set of numbers. This is very important notation in statistics.

If a hypothesis is correct, a set of data's standard deviation serves as a gauge of how rare it is. Standard deviations are expressed in units called sigma, or, by physicists. The findings are progressively inconsistent with the hypothesis as the number of sigma increases. The word's derivation is derived from the Greek letter "sigma," which is used in statistics to measure how much a process deviates from its mean or goal.

To express the total of a set of data or the total of a function over a specified range, it is frequently used in statistics and probability. For instance, if X is a collection of numbers, the term ∑X would stand for the collection's total. The symbol is typically followed by a variable, such as I indicating the range of the sum, for example, ∑i=1 to n for the summing from i=1 to i=n. The index I is frequently used to identify the individual components of the set.

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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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A plot point example contains a point in a story that defines the turning point in the story.

A story's plot point is a crucial turning moment that occurs during the narrative. The tale and the characters may be developed and advanced using these ideas.

Plot points offer your tale movement by advancing the plot and dragging the reader along. 'A particularly crucial portion of a storyline of a work of fiction,' according to the definition of a plot point. Never undervalue the significance of your framework, even if your book is contemplative or literary.

An example of plot point is :

In a story about a young girl who is trying to save her village from an impending monster attack, the plot point may occur when the girl discovers an ancient artifact that gives her the power to defeat the monster. This event marks a significant turning point in the story, as it sets the stage for the girl to take on the monster and potentially save her village.

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Answer:

u not get the answer

Step-by-step explanation:

The area of circle A to the area of circle B ratio is 100: 64, and the ratio of e: f is 13: 10.

The area of the circle is equal to the multiplication of the square of the circle's radius and π.

A = πr²

where 'r' is the radius

Circumference of circle A × 0.8 = circumference of circle B

So, taking r as the radius of A,

2πr =  circumference of circle A

2πr × 0.8 = circumference of circle B

So the radius of B is r × 0.8.

Now we can substitute that in the area equations :

Area of A = π×r²

Area of B = π × (r × 0.8)² = π × r² × 0.64

The circumferences of the A to B ratio is

Circumference of A : Circumference of B = (2 × π × r)/(2 × π × r × 0.8)

= 1: 0.8 = 100: 80,

The areas of circle A to circle B ratio is

Area of A : Area of B = (π × r²)/(π × r² × 0.64) = 1: 0.64 = 100: 64

e² = f² × 1.69

69% larger shows that f² is the 100% to which we must add 69% to obtain e². 100% + 69% Equals 169%, obtaining a factor of 1.69.

We have this equation:

e² = f² × 1.69

Apply the square root on both sides.

e = f × √(1.69) = f × 1.3

e/f = 1.3 = 1.3/1 = 13/10

the ratio e:f = 13: 10

Thus, the ratio of circle A's area to circle B's area is 100: 64 and the ratio of e: f is 13: 10.

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Answer:

Step-by-step explanation:

The radius of the sphere is 9 cm.

It is a three-dimensional figure where the volume is given as:

The volume of a sphere is 4/3πr³.

We have,

The surface area of a sphere = 324π cm²

4πr² = 324π

r² = 324/4

r² = 81

r = √81

r = ±9

r = -9 cm (rejected)

r = 9 cm

Thus,

The radius is 9 cm.

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The dilation of the circle with a scale factor 1/r and center at (a,b) will transform the circle into a point at (a,b).

A dilation is a transformation that results in an image with the same shape as the original but a different size. • An enlargement is a dilation that produces a larger image. • A reduction is a dilation that produces a smaller image.

To solve this we will use the transformation formula for a dilation with center (a,b) and scale factor

k, (x,y) --> (a + k(x-a), b + k(y-b)).

Substituting in our values, we get

(x,y) --> (a + (1/r)(x-a), b + (1/r)(y-b)).

Setting this equal to (a,b), we get

(a + (1/r)(x-a) = a, b + (1/r)(y-b) = b).

Solving for x and y gives x = a and y = b. Therefore, the dilation of the circle with a scale factor of 1/r and center at (a,b) will transform the circle into a point at (a,b).

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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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Answer:

Can you please show the picture

Step-by-step explanation:

Step-by-step explanation:

send the pic clearly i will help surely im sorry

Answer:

55

Step-by-step explanation: i think

Answer:

Step-by-step explanation:

it would be 55 because he does 11 each minute.

Answer:

B is the perfect square

Step-by-step explanation:

Answer:

g(- 8) = 20

Step-by-step explanation:

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

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