Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle is either in the circle or in the trapezoid.

Therefore, the value of x is 26.

in geometry, an angle is a measure of the amount of rotation between two intersecting lines, or between a line and a plane. It is typically measured in degrees, with a full rotation equal to 360 degrees. Angles can also be measured in radians, which is another unit of angular measurement .Since ∠1 and ∠2 are supplementary, their sum is equal to 180 degrees. That is:

m∠1 + m∠2 = 180

Substituting the given values, we have:

124° + (2x+4)° = 180°

Simplifying this equation, we get:

2x + 128 = 180

Subtracting 128 from both sides, we have:

2x = 52

Dividing both sides by 2, we get:

x = 26

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The measure of an exterior angle of a twelve sided polygon is 30 degrees

The measure of an exterior angle of a polygon is the angle formed between one side of the polygon and the extension of an adjacent side.

In any polygon, the sum of exterior angles is always 360 degrees. This is because if you start at one vertex of the polygon and walk all the way around the outside of the polygon, you will make a full 360-degree turn. Each time you make a turn at a vertex, you create an exterior angle, and the sum of these exterior angles is equal to 360 degrees.

In a twelve-sided polygon (a dodecagon), the measure of each exterior angle can be calculated using the formula:

measure of each exterior angle = 360 degrees ÷ number of sides

So for a dodecagon:

measure of each exterior angle = 360 degrees ÷ 12 = 30 degrees

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Answer:

42 m

Step-by-step explanation:

Equilateral triangle means that all sides are the same thus if the perimeter is 12 m

12m/3 = 4m for each side

The length of the boom will then how many triangles make the length which looks to be about 10.5

So 10.5 x 4 = 42 m

Answer:

114.3

Step-by-step explanation:

multiple the length value by 2.54

The percentage of people have iq scores somewhere between 70 and 130 is 95.44%.

To solve this problem, we need to standardize the IQ scores and then use a standard normal distribution table or calculator to find the proportion of scores between 70 and 130.

First, we need to calculate the z-scores for IQ scores of 70 and 130, using the formula:

z = (x - μ) / σ

where x is the IQ score, μ is the mean (100), and σ is the standard deviation (15).

For an IQ score of 70:

z = (70 - 100) / 15 = -2

For an IQ score of 130:

z = (130 - 100) / 15 = 2

We can now look up the proportion of scores between -2 and 2 in a standard normal distribution table or calculator. This represents the proportion of scores within two standard deviations of the mean, which is approximately 95% according to the empirical rule of normal distribution.

However, we want to find the proportion of scores between 70 and 130, not between -2 and 2. To do this, we need to subtract the proportion of scores below 70 (which is the same as the proportion below -2) from the proportion of scores below 130 (which is the same as the proportion below 2). The result gives us the proportion of scores between 70 and 130.

Using a standard normal distribution table or calculator, we can find that the proportion of scores below -2 (or 70) is 0.0228, and the proportion of scores below 2 (or 130) is 0.9772. Therefore, the proportion of scores between 70 and 130 is:

0.9772 - 0.0228 = 0.9544

This means that approximately 95.44% of people have IQ scores between 70 and 130.

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Another name for the regression line is the​ least squares line.

A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables. The equation of the regression line is used to predict (or estimate) the value of the response variable from a given value of the explanatory variable.

Another name given to regression line is the least squares line because it is chosen so that the sum of the squares of the differences between the observed​ y-value and the value predicted by the line is as small as possible.

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According to the graph the value of the Dog Walking Service would be $0.75 per minute.

To know the value per minute of the Dog Walking Service offered by Linda we must carry out the following mathematical procedure:

If every 20 minutes is worth $15, how much is each minute worth?

To do this we must follow the following rule of three:

Additionally, we must take into account that according to the graph, the value per minute decreases if we contract more hours of service. For example, with 40 minutes of service it would be worth 0.5 each minute.

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The total cost for each combination with the special offer would be:

Massage, leg wax, and manicure: £68.25

Massage, facial, and eyelash tint: £59.25

Massage, leg wax, and eyelash tint: £57.75

We can try out the different possibilities and calculate the total cost of each.

Let's start by listing the prices of the treatments she's interested in:

Massage: £35

Facial: £31

Leg wax: £29

Manicure: £27

Eyelash tint: £13

Now, we can try out the different combinations of 3 treatments and calculate their total cost:

Massage, facial, and leg wax:

Total cost = £35 + £31 + £29 = £95

With 25% off, the cost would be £71.25, which is over Lou's budget of £60, so this combination is not possible.

Massage, facial, and manicure:

Total cost = £35 + £31 + £27 = £93

With 25% off, the cost would be £69.75, which is still over Lou's budget of £60, so this combination is also not possible.

Massage, leg wax, and manicure:

Total cost = £35 + £29 + £27 = £91

With 25% off, the cost would be £68.25, which is within Lou's budget of £60. Therefore, this combination is possible.

Massage, facial, and eyelash tint:

Total cost = £35 + £31 + £13 = £79

With 25% off, the cost would be £59.25, which is within Lou's budget of £60. Therefore, this combination is also possible.

Massage, leg wax, and eyelash tint:

Total cost = £35 + £29 + £13 = £77

With 25% off, the cost would be £57.75, which is within Lou's budget of £60. Therefore, this combination is also possible.

From the above calculations, we can see that Lou can choose from three possible combinations of treatments that fit within her budget and qualify for the special offer:

Massage, leg wax, and manicure

Massage, facial, and eyelash tint

Massage, leg wax, and eyelash tint

The total cost for each combination with the special offer would be:

Massage, leg wax, and manicure: £68.25

Massage, facial, and eyelash tint: £59.25

Massage, leg wax, and eyelash tint: £57.75

Therefore, Lou can choose any of the above combinations and pay the corresponding total cost to enjoy the special offer.

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A discrete distribution is used to calculate the probability that a random variable will be exactly equal to some value which is 0 ≤ P(X = x) ≤ 1 and ∑P(X = x) =1.

We can say that a discrete distribution is a probability distribution that depicts the occurrence of discrete or individually countable outcomes.

We know that the discrete probability distribution is counting of the occurrences that have countable or finite outcomes. We also know that discrete distributions contrast with continuous distributions, where outcomes can fall anywhere on a continuum, common examples of discrete distribution include the binomial, Poisson, and Bernoulli distributions.

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Answer: $119.90

Step-by-step explanation:

Answer:

The percent decrease of the sale price of the sofa from the regular price is 17%.

Step-by-step explanation:

Sure! Here are the steps to find the percent decrease:

The percent decrease of the sale price from the regular price is 17%.

Answer:

17% is the percen

Answer: x = -7

Step-by-step explanation:

3x-4=-25

add 4 on each side

3x=-21

both are divisible by 3

x=-7

The amount of wrapping paper use to wrap the rectangular gift box is 292 ft².

The surface area of a rectangular prism is expressed as;

S.A = 2( wl + hl + hw )

Given the data in the diagram;

Plug the values into the above formula and find the surface area.

S.A = 2( wl + hl + hw )

S.A = 2( (6×8) + (7×8) + (7×6) )

S.A = 2( 48 + 56 + 42 )

S.A = 2( 146 )

S.A = 292 ft²

Therefore, the surface area of the right rectangular prism is 292 ft².

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Answer: yes

Step-by-step explanation:

None of the points intercept eachother if we make a vertical line and there are no y-values with more than one x-value.

The different possibilities of combinations of 4 are combinations of 4 distinct items, combinations of 4 items with replacement, combinations of 4 items without replacement and combinations of 4 items without replacement

It depends on what exactly you mean by "combinations of 4." Here are a few possibilities and the corresponding answers:

Combinations of 4 distinct items: If you have 4 distinct items and you want to know how many different ways there are to choose a group of 4 from among them, the answer is 4 choose 4, which is equal to 1.

Combinations of 4 items with replacement: If you have a set of items and you want to know how many different groups of 4 you can make if you're allowed to repeat items, the answer is the number of items raised to the 4th power

Combinations of 4 items without replacement: If you have a set of items and you want to know how many different groups of 4 you can make if you're not allowed to repeat items

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Answer: First Choice. 9r² + r -4

Step-by-step explanation:

Given information

Side 1 = 5r²+3

Side 2 = 4r²-6r+1

Side 3 = 7r-8

Formula for the perimeter of the triangle

Perimeter = Side 1 + Side 2 + Side 3

Substitute values into the formula

Perimeter = (5r² + 3) + (4r² - 6r + 1) + (7r - 8)

Simplify the expression

Perimeter = 5r² + 4r² + 7r - 6r + 3 + 1 - 8

Perimeter = 9r² + r + 4 - 8

Perimeter = [tex]\Large\boxed{9r^2+r-4}[/tex]

Hope this helps!! :)

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Answer:

$2945.8

Step-by-step explanation:

226.60 multiplied by 13 is 2945.8.  

To check the answer you divide 2945.8

and 13 to get 226.60 or 226.6

Answer:

56%

Step-by-step explanation:

The probability of snow on Tuesday is 20%, which means the probability of no snow on Tuesday is 100% - 20% = 80%.

Similarly, the probability of snow on Wednesday is 30%, which means the probability of no snow on Wednesday is 100% - 30% = 70%.

The probability that it will not snow on either day is the product of the probabilities of no snow on Tuesday and no snow on Wednesday:

(80%)(70%) = 56%

So the probability that it will not snow on either day is 56%.

The fraction of the group who had a score of 35 or more is 20%.

A histogram is a graphical representation of the distribution of numerical data. It consists of a series of bars (or rectangles) that are aligned along an axis, typically the x-axis, with the area of each bar proportional to the frequency or count of data points that fall within a specific interval or bin on that axis. Histograms are commonly used in statistics and data analysis to show the frequency distribution of a dataset. They allow you to visualize the shape of the distribution, including the central tendency (mean, median, mode) and the spread (variance, standard deviation). Histograms can also be used to identify outliers, gaps, and patterns in the data. They are often used in quality control to identify defects, in finance to analyze stock prices, in biology to analyze population distribution, and in many other fields where numerical data needs to be analyzed and understood visually.

Here,

First, you need to determine the range of scores represented in the histogram. This should be indicated by the x-axis of the histogram. Next, you need to identify the bin or bins in the histogram that correspond to scores of 35 or more. A bin is a group or interval of scores. The height of each bin represents the frequency or count of scores in that interval. Once you have identified the bin(s) that correspond to scores of 35 or more, you need to sum the heights of those bins to get the total count or frequency of scores that are 35 or higher. Finally, you can divide the total count or frequency of scores that are 35 or higher by the total count or frequency of scores in the entire histogram to get the estimated fraction of the group who had a score of 35 or more.

For example, if the histogram represents the happiness scores of 100 people and the bin or bins that correspond to scores of 35 or more have a total count of 20, then the estimated fraction of the group who had a score of 35 or more is 20/100 = 0.2 or 20%.

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The conversion of 63 f to c is equivalent to approximately 17.22°C .

For 63 (degrees) Fahrenheit we write 63 °F, and (degrees) Celsius or centigrades are denoted with the symbol °C.

As a side note: the unit of temperature Fahrenheit is named after the German physicist Daniel Gabriel Fahrenheit.

So if you have been looking for 63 °F to °C, then you are right here, too.

To convert a temperature from Fahrenheit (°F) to Celsius (°C), you can use the formula:

°C = (°F - 32) * 5/9

So, to convert 63°F to °C, you can substitute 63 for °F in the formula:

°C = (63 - 32) * 5/9

= 31 * 5/9

= 155/9

≈ 17.22°C

Therefore, 63°F is equivalent to approximately 17.22°C (rounded to two decimal places).

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Babysitting and yard work are two potential sources of INCOME for teens.

A DEBIT CARD can be used to purchase groceries without using cash.

If you want to set-up a BUDGET, you need to know how much money you spend.

Your budget should include a SAVINGS plan.

Begin your budget by setting aside enough money to cover your EXPENSES.

A(n) LAYAWAY plan allows you to put a small amount of money down and make regular

payments until you have paid for an item.

When you buy now and pay later, you use a method of payment called CREDIT.

Answer: D.6

hope this helped

A calculator for simplifying fractions is a tool that can be used to reduce a fraction to its simplest form or lowest terms.

The process of simplifying a fraction involves finding the greatest common factor of the numerator and the denominator and then dividing both by that factor. This results in a fraction that has been simplified as much as possible. A calculator of simplifying fractions can perform this calculation automatically, making it a quick and easy way to simplify fractions.

This tool can be especially helpful for those who struggle with math, or for those who need to perform a large number of calculations quickly and accurately. Many online calculators are available for free and can simplify fractions in seconds.

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Generally, the main five functions of consumer protection agencies includes:

Consumer protection agencies are organizations that work to protect consumers from unfair and deceptive business practices. These agencies perform a variety of functions to promote fair and ethical business practices and ensure that consumers are able to make informed decisions when purchasing goods and services.

The list of the consumer protection agencies we have in U.S. are:

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Answer:

x=2sqrt2

Step-by-step explanation:

The legs are equal, thus the sides are x, x, and hypotenuse is 4. This means that x^2+x^2=4^2. Thus, 2x^2=16 => x^2=8 => x= sqrt8 => x=2sqrt2

The line of the best fit of the scatter plot is added as an attachment

The missing graph is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The graph

A good line of best fit would have equal number of points on either sides

To plot the graph, we draw a line that divides the points on the graph evenly

This line when drawn on the scattered points divided the points approximately evenly

The line is not a proportional relationship because it does not go through the origin

Hence, the line of the best fit is attached

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Answer:

Therefore, when  we put x=1 and y=2, the equation 3(x+2y)-2x+10 simplifies to 23.

Step-by-step explanation:

To evaluate and simplify the expression first we have to put x=1 and y=2 in the equation as given in the question,

3(x+2y)-2x+10 = 3(1+2(2))-2(1)+10

                       =3(1+2(2))-2+10

                       = 3(1+4)+8

                       = 3(5)+8

                       = 15+8

                       = 23

Therefore, when  we put x=1 and y=2, the equation 3(x+2y)-2x+10 simplifies to 23.

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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