You can graph the solutions of an inequality on a number line. How can you show the solutions of the inequality 3x +2 ≥ 1/2 ( x + 5 )

The probability that you pull a card at random from a regular 52 card deck and it is either a 3 or a heart is,

⇒ 17/52

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We know that;

In a regular 52 card deck,

Number of 3 cards = 4

And, Number of heart cards = 14

Hence, The probability that you pull a 3 cards = 4 / 52

And, The probability that you pull a heart = 13/52

Thus, The probability that you pull a card at random from a regular 52 card deck and it is either a 3 or a heart is,

⇒ 4/52 + 13/52

⇒ 17/52

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Answer: Multiplying both sides of the original equation by 100 gives the same

the solution as follows;

100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)

230·p - 1010 = 650·p - 400 - p

Step-by-step explanation:

Answer:

the answer is to the question is 12

It appears to be a constant connection that the square matrix has n eigenvalues, where n is the dimensions (not dimensions as in Rank, but as in # of Column values) of the square matrix.

similar to: a 3x3 matrix square, which has 3 Eigenvalues and only permits eigenvalue decomposition in the event that the matrix is diagonasible.

I think it has to do with how mirror-reflective and inverse the dimensional features of the Matrix can be, and how its linear structure is strong enough to support a dimensional cube.

When it comes to interaction, eigenvalue decomposition can be used to systematically eliminate it.

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So, there are 56 different committees possible, of 3 people, that could be elected to attend a political national convention from a ballot of 8 names.

When choosing a committee of 3 people from a group of 8 names, the order in which the names are chosen does not matter and repetition is not allowed, this is an example of a combination.

The number of different committees possible is given by the binomial coefficient (n choose k) where n is the number of items to choose from (in this case, 8 names) and k is the number of items to choose (in this case, 3 names for the committee).

The binomial coefficient is calculated as:

n!/(k!(n-k)!)

where ! denotes the factorial operator, meaning the product of all positive integers up to that number.

So in this case, the number of different committees possible is (8!/(3!(8-3)!) = 8!/(3!5!) = (876)/(321) = 56.

Therefore, there are 56 different committees possible, of 3 people, that could be elected to attend a political national convention from a ballot of 8 names.

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Answer:

No. The relation shows indirect variation.

Step-by-step explanation:

      In this relation the absolute value of one variable increases while the other gets decreased.

xy = k

  [tex]\sf x = \dfrac{k}{y}[/tex]

Here, xy = 3

           [tex]\sf x = \dfrac{3}{y}[/tex]

So, if the product of two variables is constant, then it is indirect or inverse variation.

There appears to be positive correlation between number of rainy days and tomato plant height.

This can be said because a positive correlation is a relationship between two variables that if one moves in a direction the other moves in the same direction. In this situation the rain increases so the tomato plant height increases, therefore there is a positive correlation.

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together.

A correlation reveals the nature and magnitude of a link between two variables. In other words, it illustrates the degree to which measurements of two or more variables are comparable throughout a dataset.

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The equation that represents the number of hours on the second week will be x / 184 = 13 / 119.60.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation to Eric works 13 hours the first week and earns 119.60. the second week, he earns 184.

Let 'x' be the number of hours. Then the equation is given as,

x / 184 = 13 / 119.60

Simplify the equation, then we have

x / 184 = 13 / 119.60

x = 184 x 13 / 119.60

x = 2392 / 119.60

x = 20 hours

The equation that represents the number of hours on the second week will be x / 184 = 13 / 119.60.

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The density in butter has a mass of 250g and volume of 290cm³ is 0.862 g/cm³.

Density is a physical property of matter that is defined as the amount of mass per unit of volume. It is measured in units of kilograms per cubic meter (kg/m^3) and is usually represented by the Greek symbol ρ (rho).

Density is a measure of how tightly the particles of a substance are packed together. The denser a substance is, the more mass it contains in a given volume.

Most commonly, density is used to compare different substances, such as solids, liquids, and gases.

In general, solids are more dense than liquids, and liquids are more dense than gases.

The density of a substance can change based on temperature, pressure, and other factors. For example, water has a greater density at 4°C than at any other temperature, and the density of a gas increases with increasing pressure.

Density is an important factor in many physical and chemical processes, including buoyancy, diffusion, and surface tension.

Density is also used in many calculations, such as calculating the volume of a container or the mass of an object.

Density, p = m/v

Where, m is mass of butter and v is volume of butter.

p = 250/290

p = 0.862 g/cm³

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The area of the given figure would be = 508yd

The area of an object is defined as the total space that is being occupied by that object.

The are of the given shape above= area of a rectangle - area of square.

Area of the rectangle = length × width

= 36 × 18 = 648yd

Are of a square = length × width

= 10×14 = 140

Therefore, area of the figure, 648 - 140 = 508yd

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The complete statement would be, confounding  in a study occurs when the effects of two or more explanatory variables are not separated. Therefore, any relation that may exist between an explanatory variable and the response variable may be due to some other variable or variables not accounted for in the study.

We know that an  extraneous variable is a variable that has the potential to affect the results and it is not a independent variable.

A confounding variable is nothing but a type of extraneous variable which is related to a study’s independent and dependent variables.

These variables (confounding variables) are also known as confounders or confounding factors.

Any variable must follow following conditions to be a confounding variable:

1) A variable must be correlated with the independent variable.

2) It must be related to the dependent variable.

Thus, confounding occurs when the effects of two or more explanatory variables are not separated. therefore, any relation that may exist between an explanatory variable and the response variable may be due to some other variable not accounted for in the study.

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The complete question is:

__________ in a study occurs when the effects of two or more explanatory variables are not separated. Therefore, any relation that may exist between an explanatory variable and the response variable may be due to some other variable or variables not accounted for in the study.

As the importance of having a powerful online presence continues to grow, many people are chosen to build their own websites using do-it-yourself (DIY) tools.

These tools, also known as website builders, are relatively easy to use and inexpensive. Examples include Wix, Square Space, Weebly, and more.

Web builder users lean to create two various types of websites, either personal sites a creative display, blog or portfolio or business sites for online ecommerce, sales, or an online business presence.

Understanding what users of web builders design with the DIY tools is an important step in pick out what makes these tools stand out.

While the mass of users is familiar with the techniques needed to build a site, the actual types of websites being built vary. Nearly half of respondents (48%) specify that their website was built for personal purposes, while 42% said that their website is for business.

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Answer:

Step-by-step explanation:

Answer:

Volume =936.3 ft³

Step-by-step explanation:

Solution Given:

The mathematics tells us that the cube of the ratio of the lengths is equal to the ratio of the volumes.

[tex]{(\frac{Side\: of\: bigger \: solid}{Side \: of \: smaller \: solid} )}^3 = \frac{volume\: of \: bigger \: solid}{volume \: of \: smaller \: solid} [/tex]

let volume of smaller solid be x.

by equation

[tex] {(\frac{12}{8} )}^3 = \frac{3160}{x} [/tex]

doing criss cross multiplication

12³*x=3160*8³

we get

[tex]x = \frac{3160 \times 8^3}{12^3} [/tex]

x= 936.296296296 ft³

The equation that represents the total sales for the month is given as follows:

y = 0.05x + 1000.

The linear function for this problem is defined in slope-intercept format, as follows:

y = mx + b.

In which:

The parameters for this problem are given as follows:

b = 1000, m = 0.05.

Hence the function is defined as follows:

y = 0.05x + 1000.

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The table of values is not a function

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

The table of values

The general rule of functions is that

Each y value must have different x values

In the table of values, the y values 2 and 5 all have the same x value

Hence, it is not a function

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The slope of the line is 0.93 and the y intercept is 100.54

Value of tempareture at time 30 mins = 1/2 hr = 101.01°

Value of tempareture at 1 hr is = 101.47°

Value of temperature at 90 mins  =1.5 hr = 101.935°

An equation is a formula that uses the equals sign to connect two expressions to show that they are equal.

A line's slope is how steeply it slopes from LEFT to RIGHT. The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.

The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A - > B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.

As per the problem

at starting that is x =0 hrs The temperature y = 99.9°

at x = 10/60 = 1/6 , y = 100.7° and at x = 2 , y = 102.4°

The equation of the line is

y-y₁ = (y₂ - y₁)/(x₂ - x₁) * (x - x₁)

(y - 100.7) = (102.4 - 100.7)/(2 - 1/6) * (x - 1/6)

y = 0.93x + 100.54

The slope of the line is 0.93 and the y intercept is 100.54

Value of tempareture at time 30 mins = 1/2 hr = 101.01°

Value of tempareture at 1 hr is = 101.47°

Value of temperature at 90 mins  =1.5 hr = 101.935°

Temperature at 4 hrs past current time  = 104.26°

The domain of the function will be the time which can go upto infinite.

The range will be the temperature and have a fixed value between the range of a human body temperature as the body temperature can not exceed that temperature.

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Therefore, the given statement that the t-distribution has more area in the tails than the standard normal distribution

SO ITS TRUE

Answer: true

Step-by-step explanation:

For completion of maze faster, time need to be decreased. therefore test is left tailed.

The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference.

These types of definitions can be hard to understand because of their technical nature. A picture makes the concepts much easier to comprehend!

The significance level determines how far out from the null hypothesis value we'll draw that line on the graph. To graph a significance level of 0.05, we need to shade the 5% of the distribution that is furthest away from the null hypothesis.

It is give that mean time for maze is

seconds.

We will conduct hypothesis for population parameter (not sample statistics).

The null and alternate hypothesis are as below:

H0 : µ = 18

Ha : µ < 18

For completion of maze faster, time need to be decreased. therefore test is left tailed.

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For the energy use to double it will take approximately 69.66 years.

To find out how many years it will take for the energy use to double, we can use the formula for exponential growth:

P = P₀ * (1 + r)^t

where P is the final amount of energy use, P₀ is the initial amount of energy use, r is the growth rate (1% per year in this case), and t is the number of years.

Setting P = 2 * P₀ and solving for t, we get:

2 * P₀ = P₀ * (1 + r)^t

Dividing both sides by P₀:

2 = (1 + r)^t

Taking the natural logarithm of both sides:

ln(2) = t * ln(1 + r)

Dividing both sides by ln(1 + r):

t = ln(2) / ln(1 + r)

Plugging in the values for r = 0.01 and using the natural logarithm function, we get:

t = ln(2) / ln(1 + 0.01) = 69.66 years

So it will take approximately 69.66 years for the energy use to double.

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A characteristic of interest for the elements is called C) Variable.

A dataset is a grouping or set of data. This set is typically displayed in a tabular format. Each column provides information about a distinct variable. In accordance with the stated question, each row represents a certain component of the data set. The management of data includes datasets.

A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

A qualitative variable, often known as a categorical variable, is one in which the variable categories are expressed verbally rather than as sets of numbers. Nominal and ordinal are the two subtypes of categorical data. Nominal variables don't have numerical values; they have "names."

Therefore, A characteristic of interest for the elements is called C) Variable.

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According to the area of parallelogram, the value of height is 4m.

In math the term parallelogram is defined as a special kind of quadrilateral in which the opposite sides are parallel and equal.

And the general form to calculate the area of parallelogram is written as,

=> A = base x height,

Here we know that the area of the parallelogram is 48 m² and the base is 12 m.

Then the value of height is calculated as,

=> 48 = 12 x height.

When we simplify this one then we get the value of height as,

=> height = 48/12

=> height = 4.

Therefore the correct option is A.

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Answer:

Answers are in bold

Data set A:

Mean: 7

Median: 7

Mode: 7

Range: 11

Data set B:

Mean: 78

Median: 95

Mode: No mode or all the numbers (85, 105, 95, 90, 115)

Range: 30

Data set C:

Mean: 13

Median: 13

Mode: 11 and 16

Range: 7

Step-by-step explanation:

I just answered this but you're welcome.

Option C, yes, the opposite side are both parallel and congruent, is the correct answer.

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.

According to the definition of parallelogram the opposite sides of the parallelogram are equal and parallel.

Hence, option C, yes, the opposite side are both parallel and congruent, is the right answer.

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Me. I definitely want to take a break

Two isosceles right triangles are the two triangles formed by the cut.

A quadrilateral is a four-sided polygon, having four edges and four corners.

Given that Nathan cut a square tile in half for his kitchen, he made one cut along a diagonal from one vertex to another,

We need to find the triangles formed by cutting the square diagonally.

Every square has 4 right angles, so each triangle will have one right triangle, which makes the triangles, right triangles.

They are isosceles because all sides of the square are the same, though the diagonal is not.

Hence,  Two isosceles right triangles are the two triangles formed by the cut.

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a. The number of people that enjoyed only skiing is 129

b. The number of people that enjoyed snow boarding and ice skating only is 13

c. The number of people that enjoyed snow board or ice skating is 221

d. The number of people that enjoyed none is 35

e. The number of people that enjoyed at least two is 62

sets is a collection of well-defined objects or elements.

The total number of visitors is 350

n(ski and snow board only) = 49-2 = 47

n( ski and skating) only= 2-2 = 0

n( snow board and skating) = 15-2 = 13

n( snow board only) = 154-(47+13+2) = 92

n( skating only) = 57-(13+2) = 32

a. The number of that that enjoyed skiing only = 178-(47+2) = 129

b. n( skating and snow board) only= 13

c. n ( ski or snow board) only = 129+92 = 221

d. the number of people that didn't enjoy any = 350-(129+47+92+13+32+2)

= 350-315 = 35

e. the number of people that enjoyed at least two = 13+2+47 = 62

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If the rental car company charges $54.75 per day to rent a car and $0.14 for every mile driven, then the inequality which can be used to determine number of days Camden can afford to rent is "54.75x + 0.14(75)  ≤ 120"  and the number of days are 2  .

the per day charge for the car by rental company is = $54.75  ;

the charge for per mile driven is = $0.14  ;

let the number of days Camden rents the car is = x days ;

let the number of miles driven by Camden be = y miles ,

the equation for the total cost (c) of the trip can be denoted as :

⇒ c = 54.75x + 0.14y    ...equation(1)

the atmost amount that Caden can afford is = $120  ;

So , the situation can be represented in inequality form as :

⇒ 54.75x + 0.14y ≤ 120  ;

the number of miles driven by Camden is = 75 miles ,

Substituting value of y = 75 in the inequality ,

we get ;

⇒ 54.75x + 0.14(75)  ≤ 120 ;

⇒ 54.75x + 10.5  ≤ 120 ;

⇒ 54.75x ≤ 120 - 10.5  ;

⇒ 54.75x ≤ 109.5 ;

⇒ x ≤ 109.5/54.75   ;

⇒ x ≤ 2 .

Therefore , Camden can afford to rent while staying within his budget for 2 days .

The given question is incomplete , the complete question is

A rental car company charges $54.75 per day to rent a car and $0.14 for every mile driven. Camden wants to rent a car, knowing that: He plans to drive 75 miles. He has at most $120 to spend.

Write and solve an inequality which can be used to determine "x", the number of days Camden can afford to rent while staying within his budget ?

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Winning lottery 5 times most likely, guessing 64-bit key, 128-bit key, hit by lightening.

What is probability ?

Probability is a measure of the likelihood of an event occurring. It is typically expressed as a decimal or fraction between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain.

1) Being hit by lightning this year (probability is 1/105) - The probability is the lowest because the odds of being hit by lightning in a given year are relatively low.

2) Guessing a 128-bit key on the first try - The probability of guessing a 128-bit key on the first try is very low because of the large number of possible key combinations.

3) Guessing a 64-bit key on the first try - The probability of guessing a 64-bit key on the first try is lower than guessing a 128-bit key, but still relatively low because of the large number of possible key combinations.

4) Winning a lottery with 1 million (106) contestants five times in a row (the probability is (1/106)5) - The probability of winning a lottery with such large number of contestants is relatively low, but it is still much higher than the first three events.

So the order is:

1) Being hit by lightning this year

2) Guessing a 128-bit key on the first try

3) Guessing a 64-bit key on the first try

4) Winning a lottery with 1 million contestants five times in a row,

Winning lottery 5 times most likely, guessing 64-bit key, 128-bit key, hit by lightening.

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