Which is the correct definition of perpendicular lines?

A. A part of a line that is bounded by two distinct endpoints.

B. A set of points that extends infinitely in two directions.

C. Two lines that intersect at a right angle.

D. Two lines that never cross.

(Note: the selected answer is the image is not guaranteed to be correct)

According to the given information the Pointwise Characterization of Perpendicular Bisectors.

A line known as a perpendicular bisector divides a specified line segment precisely in half, creating a 90° angle at the intersection. The intersection of a line segment's midpoint with a perpendicular bisector. It can be built with a compass and a ruler. On both sides of the line segment being divided, it forms a 90° angle.

The perpendicular bisector seems to be a mathematical construct that is being explored along with its creation in this article. We'll also look at the perpendicular bisector of a triangle and its properties. We will solve some few cases at the end to help you understand the subject better.

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The sample mean of snowfalls in the 18 midwestern cities of the United States is 24. This is calculated by applying the formula of arithmetic mean or average to the given sample of data.

What is arithmetic mean?

An arithmetic mean is examined as very similar to an average. Mathematically, it is obtained by dividing the sum of all objects by the total number of objects.

Calculation of the sample mean for given data

Given the total number of cities = 18

The total amount of snow falls = 20 + 40 + 31 + 7 + 15 + 29 + 25 + 20 + 17 + 32 + 28 + 12 + 34 + 29 + 20 + 17 + 33 + 23

The sample mean = total amount of snowfalls / total number of cities

= 432 / 18

= 24

Hence, the sample mean of the given data is 24.

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AB = 15, AC   = 14, BC = 8  

PQ = 8 , QR = 24,  PR = 8

The perimeter is the distance around the object. For example, your house has a fenced yard. The perimeter is the length of the fence. If the yard is 50 ft × 50 ft your fence is 200 ft long.

Perimeter of Δ ABC = Length of AB + Length of BC + Length of AC.

Perimeter of ΔABC = (2x + 7) + (2x) + (2x + 6) = 6x + 13

Perimeter of ΔPQR = (2x) + (3x + 9) + (2x) = 7x + 9

So, 6x + 13 = 7x + 9

 Therefore, x = 4

AB = 2(4) + 7 = 15             PQ = 2(4) = 8

AC = 2(4)+6     = 14          QR = 3(5) + 9 = 24

BC = 2(4)  = 8                    PR = 2(4) = 8

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To solve the inequality, multiply both sides by -7 and flip the inequality direction. The solution is n  ≤  -21 or (∞, -21]

Tips to solve linear inequalities:

Interval notation is often used for the solution(s). Recall the differences between a bracket [ or ], and a parenthesis (  or ). A bracket means the endpoint is included in the solution while a parenthesis means the endpoint is not included in the solution. Remember, infinity ∞ always use a parenthesis.

Example:  x ≥ 2 can be written as [2, ∞), while

                x > 0 is written as (2, ∞)

The given problem:

-n/7 ≥ 3

Multiply both sides by -7. Since we multiply it by a negative number, flip the inequality.

-n/7 . (-7) ≤ 3 . (-7)

n  ≤  -21

Using the interval notation, the solution is (∞, -21]

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Answer: 6

Step-by-step explanation: 6+1 Is 7 and there are no eggs left in the group of 7 so if they need one egg left and 7-1 is 6 the answer is 6.

Answer:

8 inches

Step-by-step explanation:

So if 11 in. cost 44 cents, then each inch cost 4 cents.

32/4=8

The nominal interest rate to plug in will be 0.085.

What is interest rate?

Given to us, the nominal rate is 8.5%,

The value to plug into your equation,

The equation can be simple interest or compound interest in both cases the value of the nominal rate to the plugin will be the same.

Thus, the nominal rate is 8.5% can be written as

Nominal rate = 8.5%

                     = 85/100 = 0.085

Hence, the nominal rate to plug in will be 0.085.

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There are 20 possible combinations are there for spring formal committees.

Combination:

The process of determining the number of ways in which r objects can be selected from n distinct objects without regard to the order in which they are selected. Such selections are called combinations.

[tex]^nC_r=\frac{n!}{(n-r)!r!}[/tex]

Where

n refers the total number of ways

r refers the selected one

Given,

There are six members on a student council.

Three of these members will serve on a spring formal committee.

Here we need to find the possible number of members in spring formal committees.

We know that the value of,

n = 6

and r = 3

So, apply the values on the formula,

Then we get,

[tex]^6C_3=\frac{6!}{(6-3)!3!}[/tex]

[tex]^6C_3=\frac{6!}{3!3!}[/tex]

⁶C₃ = 720/36

⁶C₃ = 20

Therefore, the resulting value is 20.

Therefore, there are 20 possible combinations are there for spring formal committees.

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Answer:

assuming you wanted the value of m

[tex]m=\frac{5D}{9}+36[/tex]

__________

         [tex]D=\frac{9}{5}\left(m-36\right)\\=\frac{9}{5}\left(m-36\right)=D\\5\cdot \frac{9}{5}\left(m-36\right)=5D\\=9\left(m-36\right)=5D\\\frac{9\left(m-36\right)}{9}=\frac{5D}{9}\\=m-36=\frac{5D}{9}\\m-36+36=\frac{5D}{9}+36\\m=\frac{5D}{9}+36[/tex]

__________

Hope this helps.

Answer:

x = 6

Step-by-step explanation:

21 : 28

27 : 6x

Cross multiply

21*6x = 27*28

126x = 756

756/126 = x

x = 6

Option (b), “a continuum of possible values” is the correct option.

The concepts of continuous probability distribution and normal distribution are used here to solve this problem.

The continuous probability distribution can be defined as the probability distribution of a continuous random variable. Normal distribution is used for finding the probability of a continuous variable when the data is more or less symmetric. The probability of being less than or more than some value can be calculated by calculating the area of the curve to the left of that value.

The probability of a continuous random variable will assume a particular value is zero. Consider a continuous random variable, which follows normal distribution with a mean,  and a standard deviation, which can be represented as to calculate the probability for a random variable, convert the variable into a standard normal variable by the transformation:

Option (a), “an array of individual values” is incorrect because the continuous probability distribution does not contain an array of individual values. Option (c), “a list of possible values” is incorrect because it is not just a list of possible values. Option (d), “counts” is incorrect because the counts is not a characterized by the continuous probability.

False

Probability can be defined as the likelihood or chance of an event occuring. Probability is a branch of Mathematics that deals with the calculation on the chances of happening of a particular event.

For instance, the probability that a student will pass an exam is 1/2.

The students has a total of two possible outcomes, pass or fail.So, the probability of one outcome = 1/total outcome which is 1/2

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Answer:

27

Step-by-step explanation:

[tex]3^2 = 9\\2\cdot \:9+5\left(3\right)-6\\2 \cdot 9 = 18\\18+5\left(3\right)-6\\5 \cdot 3 = 15\\18+15-6\\18 + 15 = 33\\33 - 6 = 27\\= 27[/tex]

[tex] \bf \implies27[/tex]

[tex] \bf \leadsto{2x }^{2} + 5x - 6 \\ \bf \leadsto 2 {(3)}^{2} + 5(3) - 6 \\ \bf \leadsto 2(9) + 15 - 6 \\ \bf \leadsto18 + 15 - 6 \\ \bf \leadsto18 + 9 \\ \bf \leadsto27[/tex]

To provide a baseline against which they can evaluate the effects of a specific treatment, experimenters make use of a(n) Control condition (Option D).

Now,

Hence, to provide a baseline against which they can evaluate the effects of a specific treatment, experimenters make use of a(n) Control condition (Option D).

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Answer:

5

Step-by-step explanation:

28+21+6=55

Answer:55-50

The probability is 1/4 that the winners will be wearing numbers 2, 4, and 7.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have been given that a group of 12 dance competition contestants is wearing the numbers 1 through 12.

To determine the probability that the winners will be wearing numbers 2, 4 and 7

Here are favorable outcomes that the contestants wearing numbers 2, 4, and 7

So the number of favorable outcomes = 3

And there is a total number of outcomes = 12

Required probability = 3/12

Required probability = 1/4.

Thus, the probability is 1/4 that the winners will be wearing numbers 2, 4, and 7.

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Answer: 750,519

Step-by-step explanation:

1st: multiply terms

2nd: divide terms

3rd: add terms

4th: subtract your last two terms

I hope this helps!

For the given graph, we have that:

a) It is not a function.

b) The function is discrete.

c) The domain is {-5,2} and the range is all real values.

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.

For this problem, we can see that it is not a function, as the values of x = -5 and x = 2 are mapped to multiple values of y.

For this problem, the function is defined only for x = -5 and x = 2, which are integer values, hence it is a discrete function.

Thus, the domain is {-5,2} and the range is all real values.

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Student's mean score of the class is 80.6.

Mean:

Mean or the average of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

Given,

A student receives test scores of 62, 83, and 91. the student's term project score is 88 and her homework score is 76. each test is worth 20% of the final grade, the term project is 25% of the final grade, and the homework grade is 15% of the final grade.

Here we need to find the student's mean score in the class.

First, we have to convert the percentage into decimal,

Then

=> 20% = 0.20

=> 25% = 0.25

=> 15% = 0.15

Then we have to find the scores from it,

Test A is 0.20 of the total and scores 62.

Test B is 0.20 of the total and scores 83.

Test C is 0.20 of the total and scores 91.

Project F is 0.25 of the total and scores 88.

Work H is 0.15 of the total and scores 76.

Multiply across:

=> A = (0.2 * 62) = 12.4

=> B = (0.2 * 83) = 16.6

=> C = (0.2 * 91) = 18.2

=> F = (0.25 * 88) = 22

=> H = (0.15 * 76) = 11.4

Now we have to add all these values to find the mean,

=> A + B + C + F + H

=> 12.4 + 16.6 + 18.2 + 22 + 11.4

=> 80.6

Therefore, the mean of that student is 80.6

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Answer:

Graph is attached

Step-by-step explanation:

The equation of the line is 3x - 4y = 12

If the point(-4, -6) is to lie on this line then the values x = -4 and y = -6 must satisfy this equation

Plug in these values on the left side
3(-4) - 4(-6) = -12 - (-24) = -12 + 24 = 12

So indeed this point satisfies this equation and therefore it must lie on this line

Answer:-0.825 or 52/63

27/31 ounce of red paint should she really have to make 3 fluid ounces of purple paint.

Any arithmetic operation involving two or more fractions, such as addition or subtraction, is achievable if the denominators of both fractions are equal. This is referred to as the common denominator. A common denominator is an integer that has at least one element in common with both denominators other than 1.

Given:

3 /10 red + 11 /15 blue  makes 1 1/30 purple

Get a common denominator of 30

3/10 * 3/3 = 9/30  red

11/15 *2/2 = 22/ 30  blue

1  1/30 = 31/30   purple

the amount of paint required to make 3 fluid ounce of purple color of paints:

So,

((3/10) * (31/30)) * 3

= (3/10 * 30/31) * 3

= 27/31 ounce.

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Answer:

It depends, each person gets 500 pizzas, and since there is no info on how long it takes for each of them to eat one pizza, there is no possible answer,

Step-by-step explanation:

Answer:

Each person would have 500 pizzas but how long they last would depend how fast they eat 'em lol

Step-by-step explanation:

2000 / 4 is 500

Answer:

-6.1, 6.3, 630%

Step-by-step explanation:

-610%, 630%, 630%

2.) No correlation

3.) Negative correlation

Step-by-step explanation:

Subtracting the maximum sodium intake from the intake of the cereal bar, you can eat amounts of sodium less than 2,175 mg of sodium the rest of the day.

From the text, the intake has to be less than 2300 mg. From the table, each cereal bar has 125 mg of sodium.

You eat one cereal bar, hence:

2300 - 125 = 2,175.

You can eat amounts of sodium less than 2,175 mg of sodium the rest of the day.

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I am writing this because the app says the answer is to short :)))

Answer:

Step-by-step explanation:

-2x+3y

Answer:

$7.95

Step-by-step explanation:

The equation c = 7.95b represents the total cost of the boxed lunches

c represents the total cost

b represents the number of boxed lunches

To find the total cost of multiple items, you generally multiply the cost of a single item by the number of items there are.

Using this, we can find the cost per item is 7.95 dollars, or 7 dollars and 95 cents.

The form of the partial fraction decomposition of the given function is:

[tex]\frac{A}{x+5}+\frac{B}{x-4}[/tex]

To find the form of the partial fraction:

The rational expression given is: [tex]\frac{x-20}{x^2+x-20}[/tex]

Factor the provided rational expression's denominator:

[tex]\begin{aligned}\frac{x-20}{x^2+x-20} &=\frac{x-20}{x^2+5 x-4 x-20} \\&=\frac{x-20}{x(x+5)-4(x+5)} \\&=\frac{x-20}{(x+5)(x-4)}\end{aligned}[/tex]

Apply the partial fraction decomposition method now:

[tex]\begin{aligned}\frac{x-20}{x^2+x-20} &=\frac{x-20}{(x+5)(x-4)} \\&=\frac{A}{x+5}+\frac{B}{x-4}\end{aligned}[/tex]

Therefore, the form of the partial fraction decomposition of the given function is:

[tex]\frac{A}{x+5}+\frac{B}{x-4}[/tex]

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The correct question is given below:
Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients.

[tex]\frac{x-20}{x^2+x-20}[/tex]

Answer:

$4.60

Step by Step:

First, you have to subtract $20 from $6.20 which is the change you got back. Once you remove that, you will get $13.80, the actual amount of all three pairs of socks. Now, you have to figure out how much each pair of socks is. So you need to divide 13.80 by 3 which is $4.60. So each pair of socks was $4.60

Hope that helps :D