Please please help I will give brainiest is I get 100% on this question. (actauly give me answers)
Provide a proof for the following.

Provide a proof using any method (two-column, flow-chart, or paragraph). For whichever method you choose, include the statements that lead you to the necessary conclusion, as well as corresponding reasons for each statement.

Hint: You may use the template provided below, and simply fill in the missing reasons for the proof.

To find the average value of a function from a graph, you can follow these steps:

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160 children between the ages of 5 and 15 comprise the cases.

Age and sex child cheated are the variables and types.

What impact do age, sex, being an only child, and whether or not kids received instructions have on the frequency of cheating in games?

a) What are the cases?

The cases are: the 160 children between the ages of 5 to 15.

b) What are the variables and their types?

The variables and types are: age (discrete numerical), sex (regular categorical), whether they were an only child or not (regular categorical), the result of the coin flip (regular categorical), whether the children were given instructions or not (regular categorical), and whether the child cheated (regular categorical).

c) What is the main research question?

The main research question is: What is the effect of age, sex, only child status, and whether or not children were given instructions on the rate of cheating in a game?

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Step-by-step explanation:

6 notebooks = $d

1 notebook = $?

So

1 notebook price = $d ÷ 6

Answer:

Step-by-step explanation:

n represents the number of notebooks

d represents the cost of a notebook

n = d            one notebook = d dollars

9n = 9d        multiply both sides by 9

Radians are multiplied by 180° radians to convert to degrees.

A unit of measurement for angles that is about 57.3°, or the angle covered in the center of a circle by an arc that has the same length as the radius.

Conversion factor between radians and degrees

One radian, or degree, equals 0.01745329252:

1° = π/180°

0.005555556π = 0.01745329252 rad

There are 57.295779513 radians in a degree.

1 rad = 180°/π \s= 57.295779513°

The angle in degrees is equal to the angle in radians times 180 degrees divided by the constant pi: degrees = radians 180° /

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Answer:

Both have 4 points, and sides.  

Squares have 4 even sides

Rectangles have 2 short sides and 2 long sides.

Answer:

-3, 1, 5, 9

Step-by-step explanation:

Read the y-coordinate of each point.

The inequalities represented on the graph is x ≥ -2.

In mathematics, an inequality is a mathematical expression where neither side is equal. Inequality in mathematics is defined as a comparison between two expressions or two numbers that is not equal. In mathematics, there are several varieties of inequality, including polynomial inequality, rational inequality, and absolute value inequality.

Given that,

Number line showing range from negative five to five. The left end point is a closed dot at negative two, with a ray pointing right past five.

From the above we observe that point on negative 2 is a closed dot hence the inequality would be ≥ or ≤.

Now, the ray point past five, that is it moves in positive direction.

Hence, the inequalities represented on the graph is x ≥ -2.

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Answer:

$1.24

Step-by-step explanation:

use a proportion.

$3.10/5 = x/2

5x = 2 × $3.10

x = $1.24

Answer:

$1.24

Step-by-step explanation:

$3.10 for 5 bags

I bag = 310/5= 62

Move the decimal point back two times which is 0.62

2 bags cost 0.62*2= 1.24

= $1.24

The total cost for 10 hours of work would be 25 + 50(10) = 525.

Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.

The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.

The total cost for 8 hours of work would be 25 + 50(8) = 425.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

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Therefore, the equations that represent circles with a diameter of 12 units and a center on the y-axis are: x² + (y - 3)²=36 and x² + (y + 8)²=36.

In mathematics, an equation is a statement that asserts the equality of two expressions. It consists of two expressions separated by an equals sign (=). The expression on the left side of the equals sign is called the left-hand side (LHS), and the expression on the right side of the equals sign is called the right-hand side (RHS). Solving an equation means finding the value of the variable that makes the equation true. I

Here,

A circle with diameter 12 units and center on the y-axis has its center at (0, c), where c is a constant. The radius of the circle is half the diameter, which is 6 units.

The equation of a circle with center (0, c) and radius r is given by:

x² + (y - c)² = r²

Substituting r = 6 and simplifying, we get:

x² + (y - c)² = 36

The only two equations among the options given that match this form are:

x² + (y - 3)² = 36 (center at (0,3))

x² + (y + 8)² = 36 (center at (0,-8))

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In general, if the sample size is large, adding an extremely large outlier to a data set will not substantially affect the mean (average) of the data set.

This is because the mean is calculated by summing all the values in the data set and dividing by the total number of values. As the sample size increases, the influence of any individual value on the mean becomes smaller. An extremely large outlier may have a significant impact on the sum of the data set, but if the sample size is large enough, the impact on the mean will be relatively small.

However, adding an extremely large outlier to a data set can substantially affect other measures of central tendency and dispersion, such as the median and standard deviation. These measures are based on the order and spread of the data, rather than the sum of the data, and may be more sensitive to extreme values.

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In the triangle BCD the value of ∠BDC is 105°.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

In ΔABC and ΔBCD it is given that -

∠A ≅ ∠B

∠ADC ≅ ∠BCD

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.

So, by the theorem stated above -

∠ACD ≅ ∠BDC

In ΔACD he sum of angles of a triangle is 180°.

The equation will be -

∠ACD + ∠ADC + ∠A = 180°

Substitute the values in the equation -

∠ACD + 30° + 45° = 180°

∠ACD + 75° = 180°

∠ACD = 180° - 75°

∠ACD = 105°

Now, since ∠ACD ≅ ∠BDC.

So, ∠BDC = 105°.

Therefore, the measure of ∠BDC is 105°.

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Answer:

The probability that the first two chocolates Bob eats will have almonds is 5/51 or 9.8% (nearest tenth).

Step-by-step explanation:

Given that Bob has a box of chocolates containing 6 chocolate covered almonds, 4 chocolate covered peanuts, and 8 plain chocolates, the total number of chocolates in the box is:

[tex]\implies \sf Total=6 + 4 + 8 = 18[/tex]

[tex]\boxed{\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}}[/tex]

Therefore, the probability that the first chocolate Bob eats will have almonds is:

[tex]\implies \sf P(first\;almond)=\dfrac{6}{18}[/tex]

As Bob has eaten one almond chocolate there are now 5 chocolate covered almonds left and a total of 17 chocolates.  Therefore, the probability that the next chocolate Bob eats will have almonds is:

[tex]\implies \sf P(second\;almond)=\dfrac{5}{17}[/tex]

To find the total probability for two or more events, multiply the probabilities.  Therefore, the probability that the first two chocolates Bob eats will have almonds is:

[tex]\begin{aligned}\implies \sf P(first\;almond)\;and\;P(second\;almond) & =\dfrac{6}{18} \times \dfrac{5}{17}\\\\ &=\dfrac{30}{306}\\\\&=\dfrac{5}{51}\\\\&=0.0980392...\\\\&=9.80392...\%\end{aligned}[/tex]

Therefore, the probability that the first two chocolates Bob eats will have almonds is 5/51 or 9.8% (nearest tenth).

We utilize the differentiation method to obtain the derivative of a function. This entails calculating the limit of the ratio of the change in output (y value) to the change in input (x value). The formula then yields the function's derivative. f'(x) = [tex]\lim_{h \to 0} \frac{f(x+h) - f(x)}{h}[/tex].

Determining the derivative of a function is a simple process. Initially, you must establish the sort of function you are dealing with.

Once the kind of function has been decided, the variables of the function must be identified.

The power rule is then used to determine the derivative of each of the terms.

Lastly, you must combine all of the terms to obtain the overall derivative.

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Using proportions, we determined 24 out of every 36 households have a guest room.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, six out of every 9 households have a guest room.

So, the ratio is 6:9

Margaret asked x households in her neighborhood if they have a guest room, and 24 said yes

So, the ratio is 24:x

Now, the proportion is 6:9::24:x

6x=9×24

x=36

Hence, 24 out of every 36 households have a guest room.

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Answer:

Infinite (∞)

Step-by-step explanation:

A multiple in math are the numbers you get when you multiply a certain number by another number or integer.

Multiples of 10 are numbers that can be divided exactly by 10. The multiples of a number are infinite.

The measurement of the LM will be 42.0

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Here given in the question that one side of the wall 5 feet

So as it is a rectangular bedroom it can be split into 2 right-angled triangles.

So the hypotenuse of the triangle is 13 feet

Now using the Pythagoras theorem we can find out the length of the other wall

b² = h² -p²

given KM = 52, NL = 33

So the triangle MLN

LM = √(33²+26²) = 42.0

Hence The measurement of the LM will be 42.0

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Answer:

The correct answer is A. One unique triangle. This is because the sum of the angles in a triangle must equal 180 degrees, so with the given angles, only one unique triangle can be created.

Answer: A!

Step-by-step explanation:

I did it on a Module Test and it was correct!

The probability that a randomly selected first-year teacher makes less than $20,000 a year is approximately 0.0071.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

To solve this problem, we can use the normal distribution and the standard normal distribution table (also known as the z-table).

Let X be the salary of a first-year teacher. We are given that X is approximately normally distributed with a mean (average) of mu = $27,989 and a standard deviation of sigma = $3250. We want to find the probability that a randomly selected first-year teacher makes certain salaries.

A. Between $20,000 and $30,000 a year

To find the probability that a first-year teacher makes between $20,000 and $30,000 a year, we need to standardize the interval using the z-score formula:

z1 = (20000 - mu) / sigma = (20000 - 27989) / 3250 = -2.45

z2 = (30000 - mu) / sigma = (30000 - 27989) / 3250 = 0.63

Using a standard normal distribution table or calculator, we can find that the probability of a random variable being between z1 and z2 is approximately 0.8461.

Therefore, the probability that a randomly selected first-year teacher makes between $20,000 and $30,000 a year is approximately 0.8461.

B. Less than $20,000 a year

To find the probability that a first-year teacher makes less than $20,000 a year, we need to standardize this value using the z-score formula:

z = (20000 - mu) / sigma = (20000 - 27989) / 3250 = -2.45

Using a standard normal distribution table or calculator, we can find that the probability of a random variable being less than z is approximately 0.0071.

Therefore, the probability that a randomly selected first-year teacher makes less than $20,000 a year is approximately 0.0071.

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Answer:

[tex]\frac{2}{4}[/tex] or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

When each time a coin is flipped, there are two possible outcomes.

The chance for either heads or tails being chosen is one half.

Thus, the number of times the coin can be flipped and land on heads or tails is [tex]\frac{1}{2}[/tex].

Hope it helped!

The slope of UN is solved to be

The slope of UN is solved using the points denoting U and N and the points are

U (4, -2) and N (1, 2)

Formula for slope is

= change in y direction  / change in x direction

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

= -4 / 3

The slope of UN is -1 1/3

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The temperature in Fahrenheit that is equal to 17 degree Celsius is  62.6 Fahrenheit .

The Celsius (°C) and Fahrenheit (°F) are two common temperature scales which are used to measure the temperature. Celsius is based on the metric system, and is widely used in most countries. Fahrenheit, on the other hand, is used mostly in the United States and a few other countries.

We use the the formula "°F = (°C × 1.8) + 32" , to convert the temperature from degree Celsius to degree Fahrenheit ;  

In this case  , we have to convert 17 Celsius to Fahrenheit,

So , we can write the formula as : °F = (°C × 1.8) + 32

⇒ °F = (17 × 1.8) + 32 ;

⇒ °F = 30.6 + 32 ;

⇒ °F = 62.6  .

Therefore, 17 Celsius is equal to 62.6 Fahrenheit .

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The mass of 1 whole pizza will be 384 g.

What is Proportion ?

A part, piece, or number that is measured in comparison to a total is referred to as a proportion in general. When two ratios are equal, according to the definition of proportion, they are in proportion. It is a formula or claim that shows that two ratios or fractions are equivalent.

He has cut 1st pizza into 24 slices and other pizza into 8 slices.

Let the mass of small slice to be "x" g

So, the mass of large slice will be " 32+x " g

Now, Ben has two identical pizzas, it means the mass of both pizzas will be same.

So, mass of 1st pizza = mass of other pizza

                        24 x   =  8 ( 32+x )

                        24x = 256 + 8x

                        16x = 256

                         x = 16

Hence, the mass of 1 whole pizza = 24 × 16 = 384 g.

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Sure! A table of values for f(x) = log base 8 of x is shown below:

x) f(x)

1) 0

2) 1/3

3) 0.54

4) 0.67

5)0.79

6)0.89

7) 0.97

8) 1

9) 1.10

10) 1.18

A logarithmic function is a type of mathematical function that involves the use of logarithms. Logarithms are a way of expressing numbers in terms of exponents, and logarithmic functions are functions that involve the logarithm of one or more variables.

The general form of a logarithmic function is:

f(x) = log_b(x)

where b is the base of the logarithm, and x is the argument of the logarithm.

Logarithmic functions have several important properties. One of the main properties is that they can be used to convert between exponential and logarithmic forms of equations. For example, the equation[tex]2^3[/tex] = 8 can be written in a logarithmic form as log_2(8) = 3.

Logarithmic functions are also used in many applications in science, engineering, and finance. In science, logarithmic functions are used to describe the behavior of phenomena that exhibit exponential growth or decay, such as radioactive decay or population growth. In finance, logarithmic functions are used to calculate compound interest and to model the growth of investments over time.

The graph of a logarithmic function is a curve that approaches but never touches the x-axis as the x approaches zero. The shape of the curve depends on the base of the logarithm, and it becomes steeper as the base gets larger. The inverse function of a logarithmic function is an exponential function.

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Answer:

$0.07

Step-by-step explanation:

We know

It cost Nevaeh $5.39 to send 77 text messages.

How much does it cost to send one text?

We take

5.39 / 77 = $0.07 per text

So, it costs $0.07 to send one text.

It costs Nevaeh $0.07 to send one text message.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

To find out how much it costs to send one text message, we can divide the total cost by the number of messages:

Cost per message = total cost/number of messages

In this case, the total cost is $5.39 and the number of messages is 77, so:

Cost per message = $5.39 / 77 = $0.07

Therefore, it costs Nevaeh $0.07 to send one text message.

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Answer:

11 /16

Step-by-step explanation:

Answer:

1=24.5

Step-by-step explanation:

2*2=98

4=98

2= 49

which means

1 is 24.5

32 ounces make up a quart. This is a common unit of measurement in the US and other nations that follow the imperial system. Two pints, four cups, or 0.946 liters make up a quart.

The Latin word quartus, which means "fourth," is where the word "quart" originates. This is due to the fact that a quart is 128 ounces or one-fourth of a gallon. A quart is a standard unit of measurement for liquid volumes in the dairy sector, as well as in cooking and baking.

In conclusion, the unit of measurement known as a quart is equivalent to 32 ounces or one-fourth of a gallon. It is frequently employed in dairy production, baking, and cooking. When measuring and preparing components, it's crucial to comprehend how to convert between quarts and other measurement units.

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