Ejemplos prácticos de cuando usamos la fórmula general en nuestra vida cotidiana? Ayúdenme por favor

Answer:

O I, II & III

Step-by-step explanation:

(2, 3) and (1, 1)

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

y = 2x + b

1 = 2(1) + b

b = -1

The equation of the line is

y = 2x - 1

I) y = 2(x - 2) + 3 = 2x - 4 + 3 = 2x - 1   Yes

II) y = 2x - 1   Yes

III) y = 2(x - 1) + 1 = 2x - 2 + 1 = 2x - 1   Yes

Answer: O I, II & III

The associative property works with expressions that use multiplication and addition. The correct option is (D).

The associative property is a rule in mathematics that allows us to change the grouping of the numbers or variables in an expression without changing the result. This property only applies to addition and multiplication, and not to subtraction and division.

The associative property of addition tells us that we can add a group of numbers in any order, and the result will be the same. For example, (2 + 3) + 4 is the same as 2 + (3 + 4). The associative property of multiplication tells us that we can multiply a group of numbers in any order, and the result will be the same. For example, (2 × 3) × 4 is the same as 2 × (3 × 4).

However, the associative property does not work with subtraction and division. For example, (10 - 3) - 2 is not the same as 10 - (3 - 2). Similarly, (12 ÷ 2) ÷ 3 is not the same as 12 ÷ (2 ÷ 3). Therefore, the correct answer to the question is D - the associative property works with expressions that use multiplication and addition.

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Answer:

If the probability of getting a two on a biased dice is 0.1, then the probability of not getting a two is 0.9.

To find the expected number of times a two is rolled in 250 rolls:

Expected value = (probability of an event occurring) x (number of trials)

Expected number of twos = 0.1 x 250 = 25

To find the expected number of times a number other than two is rolled in 250 rolls:

Expected number of non-twos = 0.9 x 250 = 225

Therefore, we would expect to roll a two 25 times and a number other than two 225 times in 250 rolls of this biased dice.

Answer:

0.790, or 79%.

Step-by-step explanation:

If the probability of getting a two on a biased dice is 0.1, then the probability of not getting a two is 0.9.

We can use the binomial distribution to calculate the probability of getting a certain number of twos in 250 rolls of the dice. The formula for the binomial distribution is:

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

Where:

P(X = k) is the probability of getting exactly k twos

n is the number of trials (250 rolls)

k is the number of successes (getting a two)

p is the probability of success (0.1)

(1-p) is the probability of failure (0.9)

C(n, k) is the number of ways to choose k successes from n trials (n choose k)

To calculate the probability of getting exactly k twos in 250 rolls, we plug in the values for n, k, p, and (1-p) into the formula:

P(X = k) = C(250, k) * 0.1^k * 0.9^(250-k)

We can use a calculator or a software program to find the probabilities for different values of k. Here are some examples:

The probability of getting no twos (k = 0) is P(X = 0) = C(250, 0) * 0.1^0 * 0.9^250 = 0.057

The probability of getting exactly one two (k = 1) is P(X = 1) = C(250, 1) * 0.1^1 * 0.9^249 = 0.153

The probability of getting at least two twos (k >= 2) is the complement of the probability of getting zero or one two:

P(X >= 2) = 1 - P(X = 0) - P(X = 1)

= 1 - 0.057 - 0.153

= 0.790

Therefore, the probability of getting at least two twos in 250 rolls of the biased dice is approximately 0.790, or 79%.

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The given statement " the null hypothesis predicts there is a relationship between the variable and a significant difference between the groups." is False because the null hypothesis predicts that there is no relationship between the variables and no significant difference between the groups.

A null hypothesis is a statement that suggests that no relationship exists between two variables. It serves as the baseline assumption and a starting point for researchers to test their alternative hypothesis.

Null hypothesis testing is a statistical method used to compare two mutually exclusive propositions: the null hypothesis and the alternative hypothesis.

In hypothesis testing, the null hypothesis states that there is no significant difference between two groups, while the alternative hypothesis suggests that there is a significant difference between the two groups.

If the observed data deviates significantly from what we would expect under the null hypothesis, we reject it in favor of the alternative hypothesis.

If the observed data does not significantly deviate from what we would expect under the null hypothesis, we fail to reject it.

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The solution of the system of equtaions:

Y = 5x + 1

Y = -x - 5

is (-1, -4), look at the graph at the end.

To solve a system of equations graphically just graph both of the equations, in this case are the lines y = 5x + 1 and y = -x - 5, in the same coordinate axis and then identify the point where these two lines intersect.

That point will be the solution of the given system of equations.

Said graph can be seen in the image at the end. There you can see two lines, one orange and one blue, and the lines intersect at the point (-1, -4), so that is the solution of the system.

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Answer: 1250 miles

Step-by-step explanation:

50 miles in 1/5 of an hour = 250 miles in 1 hour = 1250 miles in 5 hours

Answer:

1,250

Step-by-step explanation:

50 divided by 1/5 equals 250.

Multiply 250 by 5.

250*5= 1,250

Answer: Should be standard form.

Step-by-step explanation: Just cause the others don't really make sense and the equation looks basic.

The equation of the circle with center at (8, 2) that passes through (17, 14) in standard form is (x - 8)² + (y - 2)² = 225

In your problem, we are given that the center of the circle is located at (8, 2) and that the circle passes through the point (17, 14). To find the equation of this circle, we need to use the standard form of the equation of a circle, which is:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius of the circle.

To find the radius of the circle, we can use the distance formula between the center of the circle and the point on the circle that is given to us. The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) is the center of the circle and (x₂, y₂) is the point on the circle that is given to us.

Plugging in the values we have, we get:

d = √((17 - 8)² + (14 - 2)²) = √(81 + 144) = √(225) = 15

So the radius of the circle is 15.

Now we can plug in the values we have into the standard form of the equation of a circle:

(x - 8)² + (y - 2)² = 15²

which simplifies to:

(x - 8)² + (y - 2)² = 225

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To estimate a population proportion with a margin of error of 1% and a 99% confidence interval, we would need a sample size of at least 6644 individuals.

The formula to calculate the sample size is:

n = [z² x p(1-p)] / e²

where:

n is the sample size

z is the z-score corresponding to the desired confidence level (in this case, 2.576 for a 99% confidence level)

p is the planning value for the population proportion, which we don't know in this case, so we will assume the worst-case scenario of p=0.5 (which gives us the maximum sample size needed)

e is the desired margin of error

Plugging in the values, we get:

n = [(2.576)² x 0.5(1-0.5)] / (0.01)²

n = 6643.04

Since we need to round up to the next whole number, the minimum sample size needed is 6644.

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that the sum of the angles in a triangle is 180 degrees: C = 180 - A - B

C = 180 - 15 - 120

C = 45 degrees.

A triangle is a geometrical shape that consists of three straight sides and three angles. It is a three-sided polygon, which means that it is a closed figure with three-line segments as its sides. The sum of the interior angles of a triangle is always equal to 180 degrees, which is a fundamental property of triangles. Triangles can have different shapes and sizes, and they can be classified based on their side lengths and angle measures. Some common types of triangles include equilateral triangles (where all three sides are equal), isosceles triangles (where two sides are equal), and scalene triangles (where all three sides are different lengths). Triangles are commonly used in mathematics, geometry, and various fields of science and engineering.

by the question.

To solve the triangle, we can use the Law of Cosines, which states that:

[tex]c^{2} = a^{2} + b^{2} -2abcos(c)[/tex]

where c is the length of the third side and C is the angle opposite to it.

Given that one side is 17 and the first angle is 15 degrees, we can use the Law of Sines to find the ratio of the remaining sides:

[tex]a/sin(A) = b/sin(B) = c/sin(C)[/tex]

where A and B are the known angles and a and b are the known sides.

Using this formula, we have:

[tex]a/sin(15) = b/sin(120)[/tex]

or

[tex]b=a/sin(15) = b/sin(120)[/tex]

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The cost to ship a box containing 5 laptops, weighing a total of 11 kg (including the empty box), is $58.90, with a cost of $40.00 for the first 5 kg and $3.15 for each additional kilogram.

The total mass of the packed shipping box can be found by adding the mass of the laptops (5 * 1.65 kg = 8.25 kg) to the mass of the empty box (2.75 kg) for a total mass of 11 kg.

Since the cost to ship the box is $40.00 for the first 5 kg and $3.15 for each additional kilogram over 5 kg, we can split the total mass into two parts: the first 5 kg and the additional weight above 5 kg.

The cost to ship the first 5 kg is $40.00, and the remaining weight is 11 kg - 5 kg = 6 kg.

The cost to ship the additional 6 kg is $3.15 per kilogram, so the total cost to ship the packed box is:

$40.00 + $3.15 * 6 kg = $58.90

Therefore, the cost to ship the packed box is $58.90.

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Answer:

Step-by-step explanation:

We can start by simplifying the expression using the laws of exponents:

343^(2x) * 49^(-x/2) = 49^(x/2)

We can then simplify further by expressing everything in terms of 7 (since 7 is the common factor of both 343 and 49):

(7^3)^(2x) * (7^2)^(-x/2) = (7^2)^(x/2)

Applying the laws of exponents again, we get:

7^(6x) * 7^(-x) = 7^x

7^(6x - x) = 7^x

7^(5x) = 7^x

Now we can solve for x by equating the exponents on both sides:

5x = x

4x = 0

x = 0

Therefore, the solution to the equation is x = 0.

Answer:

x = 0

Step-by-step explanation:

343^(2x) * 49^(-x/2) = 49^(x/2)

(7^3)^(2x) * (7^2)^(-x/2) = (7^2)^(x/2)

7^(6x) * 7^(-x) = 7^(x)

Now, we can simplify the equation further by combining the like terms on both sides:

7^(6x - x) = 7^(x)

7^(5x) = 7^(x)

We can solve for x by equating the exponents on both sides of the equation:

5x = x

4x = 0

x = 0

Therefore, the solution to the equation is x = 0.

Robin can go to the movies a maximum of 5 times this month.

Let's start by defining a variable to represent the number of times Robin goes to the movies. Let's call this variable "x".

We know that each movie ticket costs $5, and Robin wants to have at least $12.50 left at the end of the month. This means that the total amount of money she can spend on movies is:

40 - 12.50 = $27.50

We can set up an inequality to represent this:

5x ≤ 27.50

To solve for x, we can divide both sides of the inequality by 5:

x ≤ 5.5

Since we can't go to the movies a fractional number of times, we round down to the nearest whole number.

Therefore, Robin can go to the movies a maximum of 5 times this month.

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The probability of the spinner landing on the letter C is 1/4

To understand the probability of the spinner landing on the letter C, we need to start by looking at the total number of possible outcomes. In this case, there are four possible outcomes, corresponding to the four letters A, B, C, and D.

Since each of the four quadrants on the spinner is equal in size, each of the four letters has an equal chance of being landed on. Therefore, the probability of the spinner landing on the letter C is the number of ways that the spinner can land on C, divided by the total number of possible outcomes.

Since there is only one way for the spinner to land on C, and there are four possible outcomes in total, the probability of the spinner landing on the letter C is 1/4

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The given question is incomplete, the complete question is:

A spinner with four equal quadrants labeled A, B, C, and D is spun. What is the theoretical probability of the spinner landing on the letter C

Yes

The logarithm function is continuous for all x>0. Its derivative is 1/x and r12 ln x dx = x ln x - x + c.

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The standard deviation of the number of defective bulbs in a sample of 11 light bulbs, where 60% are defective, is 1.53, rounded to two decimal places.

The number of defective bulbs in a sample of 11 light bulbs follows a binomial distribution with parameters n = 11 and p = 0.6, where n is the sample size and p is the probability of a defective bulb.

The standard deviation of the binomial distribution is given by the formula:

σ = sqrt(np(1-p))

where σ is the standard deviation, n is the sample size, p is the probability of success (defective bulb), and (1-p) is the probability of failure (non-defective bulb).

Substituting the values into the formula, we get:

σ = sqrt(11 * 0.6 * 0.4) = 1.53

Therefore, the standard deviation of the number of defective bulbs in the sample is 1.53, rounded to two decimal places.

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Answer:

We can use the slope-intercept form of a linear equation to model the balance y after t months, where the slope represents the rate of change of the balance and the y-intercept represents the initial balance.

The initial balance (y-intercept) is the amount Tina borrowed to buy the refrigerator, which we don't know. But we can find the slope using the two data points provided:

Four months: balance = $630

Six months: balance = $520

The change in the balance over the two-month period is:

$520 - $630 = -$110

The slope of the line is the rate of change of the balance per month, which is:

slope = Δy/Δt = (-$110)/(6-4) = -$55/month

Using the point-slope form of a linear equation, we can plug in one of the data points to find the y-intercept:

y - 630 = -$55(t - 4)

y - 630 = -$55t + 220

y = -$55t + 850

Therefore, the equation that models the balance y after t months is:

y = -$55t + 850.

After answering the prοvided questiοn, we can cοnclude that As a result, expressiοn the pizza place is abοut a mile away frοm the schοοl.

In mathematics, an expressiοn is a grοup οf representatiοns, digits, and cοnglοmerates that resemble a statistical cοrrelatiοn οr regimen. An expressiοn can be a real number, a mutable, οr a cοmbinatiοn οf the twο. Additiοn, subtractiοn, rapid spread, divisiοn, and expοnentiatiοn are examples οf mathematical οperatοrs.

Arithmetic, mathematics, and shape all make extensive use οf expressiοns. They are used in mathematical fοrmula representatiοn, equatiοn sοlutiοn, and mathematical relatiοnship simplificatiοn.  

If the pizza place is 7 miles frοm yοur friend's hοuse and her hοuse is 8 miles frοm schοοl, the distance between the twο can be calculated as fοllοws:

distance frοm pizza shοp tο schοοl = distance frοm friend's hοuse tο schοοl - distance frοm friend's hοuse tο pizza shοp

8 miles minus 7 miles = distance frοm pizza place tο schοοl

1 mile frοm the pizza place tο the schοοl

As a result, the pizza place is abοut a mile away frοm the schοοl.

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To balance the equation, the right side of the equation must also change by 4%.

What is equation?

An equation is a mathematical statement that asserts the equality of two expressions. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equals sign (=)

To balance the exchange equation, the percentage change on the left side of the equation [tex](\% \triangle M + \% \triangle V)[/tex] must equal the percentage change on the right side of the equation [tex](\% \triangle P + \% \triangle Q)[/tex].

Given that there has been a 3% change in the money supply [tex](\% \triangle M)[/tex] and a 1% change in velocity [tex](\% \triangle V)[/tex], the left side of the equation can be written as:

[tex]\%\triangle M + \%\triangle V = 3\% + 1\% = 4\%[/tex]

To balance the equation, the right side of the equation must also change by 4%. Therefore, the correct answer is:

B. 4%

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The approximate diameter of the largest pillow Sarita can use is 12 inches.

Sarita has 38 inches of fringe to sew around a circular pillow.

To calculate the approximate diameter of the largest pillow she can use, we can use the formula 2 × (fringe length ÷ 3.14) = diameter. In this case, the diameter would be approximately 12 inches (38 ÷ 3.14 = 12.1).

To solve this problem, we need to divide the length of the fringe (38 inches) by the value of pi (3.14). Dividing 38 by 3.14 gives us 12.1. Since we are looking for the approximate diameter, we can round this number down to 12 inches.

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The class intervals are given as:

0 - 15   15-30  30-45

2            3          2

A histogram is a graphical representation of the distribution of numerical data. It is a way of summarizing the shape and spread of a set of continuous data values into a series of bins or intervals.

The histogram is a bar graph-like representation of the data, where the data is grouped into intervals or bins on the horizontal axis and the frequency or count of observations falling into each bin is represented by the height of the bar on the vertical axis.

Each value is grouped into one of three ranges, 0-15, 15-30, 30-45, once we know how many values are in each group, we can graph it.

The class intervals are given as:

0 - 15   15-30  30-45

2            3          2

The histogram is provided below:

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In 1970, an industrial waste site contained an estimated 350 tons of contaminated soil. special cleaning crews were contracted to clean up the site. the crews can remove 20% of the contaminated soil each year. describes an exponential function because it follows a fixed rate of decay over time, which can be expressed as a mathematical formula.

The given data describes an exponential function because it describes a quantity that decreases at a fixed rate over time.

The 350 tons of contaminated soil represents the initial quantity, and the special cleaning crews removing 20% of the contaminated soil each year represents the rate of decay. This decay rate can be expressed as a percentage decrease, which describes an exponential function.
To be more specific, an exponential function is a mathematical model that describes the decay of a quantity over a period of time. The decay rate can be expressed as a constant, which is multiplied by the initial quantity. The resulting value represents the quantity of the item at the end of each time period.
For example, in the given situation, the initial quantity of contaminated soil is 350 tons.

After one year, the quantity decreases by 20%, or 0.2, to represent the amount of contaminated soil removed.

This can be expressed as a mathematical formula as follows:

Q1 = 350 x 0.2

where Q1 is the quantity after the first year.

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Answer:

√1.5

Step-by-step explanation:

As a fraction, the square root of 3/2 can be expressed as √1.51 or just as √1.5.

Providing free access to a variety of stimuli for the purposes of identifying potential reinforcers is best described by Free Operant Preference Assessment.

What is a free operant preference assessment? Free operant preference assessment refers to a behavior analysis process used to determine the preferred stimulus of an individual in a naturalistic environment. This method measures the potential and meaningful reinforcers through the observation of a child's free time. A reinforcement is a consequence that strengthens a behavior.The free operant preference assessment is frequently utilized in the autism field to identify reinforcing stimuli. It is a process of assessing a child's preferred items and actions in a naturalistic setting.The free operant preference assessment is conducted in three different stages: Stage 1: involves observation of preferred items and items that are likely to become potential reinforcers, Stage 2: involves assessing for a hierarchy of items and stage 3 involves using the data gathered to plan the student’s schedule, including reinforcement and non-contingent time periods.

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FREE OPERANT PREFERENCE ASSESSMENT. Providing free access to a variety of stimuli for the purposes of identifying potential reinforcers is best described by Free Operant Preference Assessment.

A free operant preference assessment is a measure of the attractiveness or preference for various stimuli by measuring an individual's time spent with them.

Free access to different stimuli is given to the individual to determine their preferences, which are subsequently used to reinforce the desired behavior or work on behavior modification through behavior analysis.

The steps to conducting a Free Operant Preference Assessment: Prepare the list of stimuli: Initially, you have to prepare a list of stimuli that you believe may act as a reinforcer for the individual, which may include toys, foods, or other things that the person likes.

Prepare the environment: Arrange the stimuli in a room, and let the individual enter it.

Make sure that there is sufficient space to move around and that the person has free access to all of the stimuli.  

Record the time the individual spends with each stimulus. You can observe the person, either directly or through video recording.

 Based on the data obtained, the most preferred and least preferred stimuli can be identified. Then, these preferred stimuli can be used as potential reinforcers.

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Answer:

(5x+40)+x+2(2x+20)=360

5x+40+x+4x+40=360

10x+80=360

10x=360-80

10x=280

x=28°

substitute x=28° into (5x+40)

=140+40= 180

therefore line Ac is the diameter of a he circle because a diameter divides a circle into 2 equal part and the angle on the line is 180° showing that the circle is on a straight line

To increase £88 by 14%, we can use the multiplication method, which involves multiplying the original amount by the decimal equivalent of the percentage increase.

The multiplication method is a mathematical technique used to solve problems involving multiplication. It involves breaking down numbers into their constituent parts and then multiplying those parts together to arrive at the final answer.

To find the decimal equivalent of 14%, we divide the percentage by 100:

14% ÷ 100 = 0.14

This tells us that a 14% increase is equivalent to multiplying the original amount by 1.14 (1 + 0.14).

To increase £88 by 14%, we can multiply it by 1.14:

£88 x 1.14 = £100.32

Therefore, the increased amount is £100.32.

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Answer:

Step-by-step explanation:

The solution (16, 2) means 16 small gloves and 2 large gloves can be made in less than or equal to 16 hours and cost less than or equal to $40 in materials to make.

The machine part's maximum possible size is 13.5 + 0.07, or 13.57 millimeters.

Two mathematical expressions are shown to be equal in an equation, which is a declaration that is frequently denoted by the equals symbol (=). It implies that the amounts or values represented by both formulations are the same. Equations are a useful tool for representing the relationships between variables and for problem-solving because they allow you to identify the values of the unknown variables that the equation requires. They are frequently applied in the domains of math, physics, engineering, and other sciences as well as in daily activities like budgeting, time management, and cooking.

given

The following absolute value equation could be used to calculate the machine part's height's maximum and minimum values:

0.07 for |height - 13.5|

The machine part's minimum possible size is 13.5 minus 0.07, or 13.43 millimeters.

The machine part's maximum possible size is 13.5 + 0.07, or 13.57 millimeters.

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Answer:

y = -3x + 3

Step-by-step explanation:

Knowing that;

Slope Intercept form : y = mx + b

To Find the Slope:

Used any given ordered pair given and use- m =  [tex]\frac{y_2-y_1}{x_2- x_1}[/tex]

Given Table:

X                  Y

1                   0

2                  -3

3                  -6

4                  -9

Solve:

I will use the ordered pair:

(1,0)

(2, -3)

1 and 2 are "x"

0 and -3 are "y"

m [tex]=\frac{-3-0}{2- 1}[/tex]

m [tex]=\frac{-3}{1}[/tex]

m [tex]=[/tex] -3

Now putting the value of m in equation

y = -3x + b

To find the y intercept (b) in the slope intercept formula:

Choose any ordered pair and substitute it in the slope intercept.

Let's choose the first point, (1,0) for calculating y-intercept.

Now plug it in the slope intercept formula:

y = mx + b

y = -3x + 3

Hence, the slope intercept form for that table is:

y = -3x + 3.

RevyBreeze

The height is either 10 cm,12 cm,14 cm.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The base of the parallelogram has a length of 10 cm.

Here, area is not given so the height may be anything.

suppose h = 10

Hence, We get;

Area = base * height

      = 10 * 10

       = 100 cm²

if h = 12

area = 10 * 12

       = 120 cm²

if h = 14

area = 10 * 14

        = 140 cm²

Therefore, the height is either 10 cm,12 cm,14 cm.

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