statistics uses methods that generalize results obtained from a sample to the population and measure the reliability of the results.T/F

The solutions of the equation x² + 6x - 5 = 0 are m = -7 and n = 4.

An equation is an expression that states the equality of two mathematical quantities. It usually involves a set of mathematical symbols, such as an equal sign, numbers, and operators, which represent the relationship between the two sides of the equation. Equations are used to solve a variety of mathematical problems, ranging from simple equations to complex systems of equations.

We can solve this equation by using the Quadratic Formula.
The Quadratic Formula states that x = (-b ± √(b² - 4ac))/(2a).
In this equation, a = 1, b = 6, and c = -5.
Therefore, x = (-6 ± √(6² - 4(1)(-5))/(2(1))
x = (-6 ± √36 + 20)/2
x = (-6 ± √56)/2
x = (-6 ± √7(8))/2
x = (-6 ± 8)/2
x = (m = -14/2) + (n = 8/2)
Therefore, the solutions of the equation x² + 6x - 5 = 0 are m = -7 and n = 4.

To know more about equation click-
https://brainly.com/question/2972832
#SPJ1

As a result, the Last boxplot is the one that shows the distribution that is given and the highest value is 30 .

The mean of a dataset, often known as the arithmetic mean, is the sum of all values divided by the total number of values (as opposed to the geometric mean). This is the most often used indicator of central tendency and is frequently referred to as the "mean." This is obtained by dividing the number of values in the dataset by the sum of all the values. Calculations can be performed using either raw data or data that has been integrated into frequency tables. A number's average is referred to as its average. Simple math can be used to determine: After adding up all the digits, divide by the number of digits. the sum divided by the number.

given

N = 10 observations were made.

The base number is 6. ( least value)

Quartile lower, n+1 = 0.25

term = 0.25(13) = 3.25term = 13

Median equals 0.5 (n + 1)

term = 0.5(13) = 6.5 term = (20 + 24) /2 = 22

Upper quartile: 0.75 (13)

Interquartile Range (IQR) is equal to Q3 - Q1 (26.5 - 13) = 13.5

The highest value is 30. (highest value in the distribution)

As a result, the Last boxplot is the one that shows the distribution that is given and the highest value is 30 .

To know more about mean visit:

https://brainly.com/question/30094057

#SPJ1

=======================================

Work Shown:

[tex]\displaystyle \int_{0}^{2}\text{x}^3d\text{x}\\\\\\\displaystyle \frac{1}{4}\text{x}^{4}+C\bigg|_{0}^{2}\\\\\\\displaystyle \left[\frac{1}{4}2^{4}+C\right]-\left[\frac{1}{4}0^{4}+C\right]\\\\\\4\\\\\\\text{Therefore,} \ \displaystyle \int_{0}^{2}\text{x}^3d\text{x} = 4\\\\[/tex]

-----------

The integral rule I used in the 2nd step was

[tex]\displaystyle \int \text{x}^{n}d\text{x} = \frac{1}{n+1}\text{x}^{n+1}+C\\\\[/tex]

in which you can verify it's valid by differentiating [tex]\frac{1}{n+1}\text{x}^{n+1}+C\\\\[/tex] to end up with [tex]\text{x}^{n}[/tex] again.

Answer:

To find the value of the integral of [tex]{x}^{3}[/tex] from 0 to 2, we need to evaluate the definite integral:

[tex]\int_{0}^{2} {x}^{3} dx[/tex]

Using the power rule of integration, we can integrate the function as follows:

[tex]\int {x}^{3} dx = \frac{{x}^{4}}{4} + C[/tex]

where C is the constant of integration.

Plugging in the limits of integration, we get:

[tex]\int_{0}^{2} {x}^{3} dx = \left[\frac{{x}^{4}}{4}\right]_{0}^{2}[/tex]

[tex]= \left(\frac{{2}^{4}}{4}\right) - \left(\frac{{0}^{4}}{4}\right)[/tex]

[tex]= \frac{16}{4} - 0[/tex]

[tex]= 4[/tex]

Therefore, the value of the integral of [tex]{x}^{3}[/tex] from 0 to 2 is 4.

Answer:  i think (0,3)

Step-by-step explanation:

Mrs. Cheng's class lost the most pencils as the median value is larger than Mr. Simson's class.

Option B is the correct answer.

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

The box plot displays the number of pencils lost in a school year.

Mr. Simpson's class.

From the box plot,

Median = 14.5

Mrs. Cheng's class.

From the box plot,

Median = 16

The median tells us the average number of pencils lost.

Mrs. Cheng's class median is larger than Mr. Simpson's class.

Thus,

Mrs. Cheng's class lost the most pencils.

Learn more about the median here:

https://brainly.com/question/28060453

#SPJ1

Yes, All three interior angles of an acute triangle measure less than 90°. The sum of the angles of an acute triangle adds up to 180°.

An acute triangle is a triangle in which all three interior angles are less than 90º. Although the three interior angles of the acute triangle lie between 0° to 90°, their sum is always 180 degrees.

Triangles can be categorised on the basis of angles and sides. An acute triangle is one that is categorised on the basis of the measurement of angles. If all the interior angles of a triangle are less than 90°, then the triangle is stated to be an acute triangle.

To know more about acute triangle, here

https://brainly.com/question/1311149

#SPJ4

There are infinitely many possible solutions to a two-variable linear equation. Every point  which is a straight line, represents a solution to a linear equation with two variables.

In algebra, multiple equations are referred to as simultaneous equations or systems of equations because they must be solved simultaneously (the solution must satisfy each system of equations). For a system to have a singular solution, there must be an equal number of unknowns and equations. When there are enough data to construct equations from multiple unknowns, systems of equations are used to solve problems. When there are n unknowns, we typically require sufficient knowledge to formulate an equation for each one.

Thus, a system of linear equations with two variables has infinitely many  solutions.

To know more about system of linear equations refer to:

brainly.com/question/2030026

#SPJ4

Answer:

a)

Step-by-step explanation:

By definition; for constant speed,

S = ∆d/t

= 67.5/1.5

= 45

Therefore, the relationship between d and t is giving as; d = 45t

The probability that they read both newspapers will be 9/40.

What is probability?

Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also utilised in probability distribution. To determine the likelihood of a particular event occurring, we must first determine the total number of possibilities.

Now,

Total people=100

Reads USA today=40

Reads NY times=25

Reads both=9

Probability of people who read USA today=40/100

Probability that they also read NY times given they also read USA today=(9/100)/(40/100)

=9/40

To know more about probability visit the link

https://brainly.com/question/30034780?referrer=searchResults

#SPJ1

The binomial that completes the factorization S³-1=( )(s²+s+1) is (S - 1).

A polynomial called a binomial has only terms. As an illustration, x + 2 is a binomial, where x and 2 are two distinct terms. Additionally, in this case, x's exponent, coefficient, and constant are all equal to 1.

A binomial is an algebraic expression with two terms that contains a variable, a coefficient, exponents, and a constant. The binomial polynomial x2 + 4x is another illustration. 

Given that

S³-1=( )(s²+s+1) complete the factorization by finding the correct binomial

But this expression follows difference of cubes and factors as

a³ - b³ = (a - b)(a² + ab + b²)

With this, we can write the binomial as

S³-1=(S - 1)(s²+s+1)

Thus, the binomial that completes the factorization S³-1=( )(s²+s+1) is (S - 1).

Learn more about binomial

https://brainly.com/question/13870395

#SPJ1

62/100 is the fraction

31/50 is the simplest form

explanation:

62%

= 62/100

= (62/2) / (100/2)

= 31/50

The final answer is 31/50~

62%

to get rid of the percentage sign  and change to a fraction divide by 100

62/100

divide both numbers by to to change to simplest form

= 31/50

31/50 by the way I love how some people realize so many people answered this question already and decide they should add something that is totally not necessary.

To learn more about fraction refers to;

https://brainly.com/question/30044020

#SPJ1

Answer: laws and points

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

The measure of BC is 9 units.

Now, According to the question:

The given data is:

Quadrilateral ABCD is similar to Quadrilateral WXYZ.

AB =15 WX =25 XY =15 and YZ =20

To find the measure of BC.

We know that the corresponding sides of similar figures are proportional.

It is given that Quadrilateral ABCD is similar to Quadrilateral WXYZ. It means their corresponding sides are proportional.

[tex]\frac{AB}{WX}=\frac{BC}{XY}=\frac{CD}{YZ}=\frac{AD}{WZ}[/tex]

Now,

[tex]\frac{AB}{WX}=\frac{BC}{XY}[/tex]

After substituting the given values, we get

[tex]\frac{15}{25}=\frac{BC}{15}[/tex]

[tex]\frac{3}{5}=\frac{BC}{15}[/tex]

Multiply both sides by 15.

[tex]\frac{3}{5}[/tex] × 15 =  [tex]\frac{BC}{15}[/tex] × 15

BC = 9

Therefore, the measure of BC is 9 units.

Learn more about Quadrilateral at:

https://brainly.com/question/29934291

#SPJ4

The complete question is this:

Quadrilateral ABCD is similar to Quadrilateral WXYZ. If AB =15 WX =25 XY =15 and YZ =20, what is the measure of BC?

The probability that a number less than 1 will be rolled is 0 and the probability that the the number rolled will be less than 7 is 1

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Probability = sample space / total possible outcome

A fair die has 6 sides and each sides named from 1 to 6. Therefore the highest number one can get on a die is 6 and the least is 1

Therefore the probability to get a number less than 1 = 0/6 = 0

The probability of getting a number less than 7 = 6/6 = 1

learn more about probability from

https://brainly.com/question/24756209

#SPJ1

The percentage of members who have contributed to park cleanup will be 87.5%.

There will be 490 members who have helped clean up the park.

The percentage is defined as a ratio expressed as a fraction of 100.

As per the question, So far, 7/8 of the soccer club's 560 members have helped clean up their practice park.

The percentage of members that helped clean up the park will be calculated as :

= 7/8 × 100

= 87.5%

The members that have helped clean up the park will be calculated as :

= 7/8 × 560

Apply the multiplication operation, and we get

= 490 members

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ1

Answer: It's the first one

Also could you mark my answer as brainliest? It helps and doesnt hurt

To eliminate the x variable, you should multiply the equation by -(coefficient of x in the second equation)/(coefficient of x in the first equation)

One way of solving systems of linear equations is by using the method of elimination. This method involves adding or subtracting a multiple of one equation to the other in order to eliminate one of the variables.

In order to eliminate one of the variables, you should multiply the first equation by a coefficient that will make one of the variables in the first equation the opposite of the corresponding variable in the second equation when they are added.

For example, if you want to eliminate the variable x, you should multiply the first equation by a coefficient that makes the coefficient of x in the first equation the opposite of the coefficient of x in the second equation.

So if the equation is y = mx + b, to eliminate the x variable, you should multiply the equation by -(coefficient of x in the second equation)/(coefficient of x in the first equation).

It's important to note that you should be careful when choosing the coefficient, you should make sure that you don't divide by zero.

Read more about the system of linear equations:

brainly.com/question/24085666

#SPJ4

The polygon with vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) is a rhombus

The vertices of a polygon are the points where the sides of the polygon meet. A polygon is a closed shape that is made up of a finite number of straight line segments. The number of sides in a polygon is called its order or its degree.

The vertices of a polygon can be used to identify the shape of the polygon, for example a triangle with vertices (2,3), (4,5) and (6,7) are different from triangle with vertices (3,4), (5,6) and (7,8)

In addition, the vertices can be used to find the lengths of the sides of the polygon and to calculate its area and perimeter. Vertices can also be used to indicate the relative position of a polygon to other shapes or figures.

It's worth noting that the term "vertex" is also used to refer to the top of a pyramid or cone and the peak of a mountain. In these cases, it refers to the highest point of the object.

In this problem, the vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) when plotted on a graphing calculator shows that the two opposite sides are not equal to one another.

The shape with the vertices is a rhombus.

Learn more on vertices here;

https://brainly.com/question/7644338

#SPJ1

Tyrone initially had 1 1/6 cup amount of milk, but after buying 2 5/6 cups of milk at the store, he now has 3 1/6 cups.

1. Start with 1 1/6 cups of milk

2. Add 2 5/6 cups of milk

3. 1 1/6 + 2 5/6 = 3 1/6 cups of milk

Tyrone started out with 1 1/6 cup of milk. This could have been used for any number of things, such as cereal or baking. He then used 1 1/6 cup of this milk to make hot chocolate. After using the milk, Tyrone decided to buy 2 5/6 cups of milk from the store. This was most likely to make up for the milk he had used and to have enough for future use. Adding the 2 5/6 cups of milk to the 1 1/6 cup of milk he had originally gives a total of 3 1/6 cups of milk. This means that Tyrone had 1 1/6 cup of milk to start.

Learn more about amount here

https://brainly.com/question/28970975

#SPJ4

Answer:

D and C

Step-by-step explanation:

Quadratic equation will have 2 solution

Common quadratic equation as follows :

[tex]f(x) = ax^{2} + b(x) + c[/tex]

where :

a is the coefficient of [tex]x^{2}[/tex]

b is the coefficient of x

c is the constant term

To solve this equation there are several ways to do. One of the way is by factor.

For example :

[tex]x^{2} +7x + 10 = 0[/tex]

From above equation we search for factor. Assume they are a and b.

a. If a x b, the result will be 10

b. If a + b , the result will be 7

As we know that factor of 10 is 1, 2, 5, 10.

The best answer for those equation will be a = 2 and b = 5

[tex]x^{2} + 7x +10 = 0[/tex]

( x + 5 )( x + 2 ) = 0

x = -5 or x = -2

So the equation will have 2 solution. They are -5 and -2

Learn more about quadratic equation here

https://brainly.com/question/30098550

#SPJ4

Answer:

x=5

Step-by-step explanation:

set (2x+41)=51

subtract 41 from both sides

2x=10

divide each side by 2

x=5

If Sarah answered 12 questions correctly, then there must have been 15 questions on the quiz in total. This is because 80% of 15 is 12. To calculate this, you would use the equation: (number of correct answers/total number of questions) x 100.

Since Sarah got 80%, if you plug in 12 for the number of correct answers, the total number of questions must be 15.   To check this answer, you can also use the equation: (percentage/100) x total number of questions = number of correct answers. If you plug in 80 for the percentage and 15 for the total number of questions, the answer would be 12, which is the number of correct answers Sarah got. This confirms that there were 15 questions on the quiz.

To know more about equation refer  to the  link  brainly.com/question/29538993

#SPJ4

Answer:

105

Step-by-step explanation:

Time is always x, the independent variable.

Distance, money, etc. is always y, the dependent variable, when dealing with time.

Start with the ratio of 6:30.

If you travel 6 miles in thirty minutes, how many do you have in one?

Simplify it like this: [tex]\frac{6}{30} :\frac{30}{30}[/tex] [tex]= \frac{1}{5}: \frac{1}{1}[/tex]    

You travel a fifth of a mile in 1 minute. Now you must find out how much it takes to get from [tex]\frac{1}{5}[/tex] to 21.

(Hint: 21 ÷ [tex]\frac{1}{5}[/tex])

You may use a calculator.

So it takes 105 minutes just to cover 21 miles, and this can be shown in fraction form as [tex]\frac{21}{105}[/tex], or simpler, [tex]\frac{1}{5}[/tex].

Please forgive me if I am wrong. I trusted my brain and calculator, yet I will take full blame.

The probability model that either team Alpha or team Zeta will win is 1/2.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of teams in the quiz = 2

i.e

Team Alpha and team Zeta.

Now,

The probability that team Alpha will win.

= 1/2

The probability that team Zeta will win.

= 1/2

Thus,

The probability model that one team will win is 1/2.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ1

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 100000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &12 \end{cases}[/tex]

[tex]100000 = P\left(1+\frac{0.08}{12}\right)^{12\cdot 12}\implies 100000=P\left( \frac{151}{150} \right)^{144} \\\\\\ \cfrac{100000}{\left( \frac{151}{150} \right)^{144}}=P\implies \boxed{38411.47\approx P}[/tex]

The ordered pairings (-2, 3), and (-5, 3), respectively, depict points along a horizontal line.

Let's go over some information on the horizontal line.

If the y-coordinates of every point along the line are equal, the line is horizontal.

The horizontal line's slope is zero and it is perpendicular to the x-axis.

Because the y-coordinates of every point on the line equal b, the equation of the horizontal line through point (a, b) is y = b.

Find the points with the same y-coordinates in order to identify the ordered pairs that represent points along a horizontal line.

Response A:

The paired numbers are (-2, 3), and (-5 , 3)

X is located between -2 and -5.

3 and 3 are the y-coordinates.

The two ordered pairs' y-coordinates are equivalent.

Points (-2, 3) and (-5, 3) are adjacent on a horizontal axis.

To learn more about  horizontal line refer to:

https://brainly.com/question/14197570

#SPJ1

Answer:

9 pies

Step-by-step explanation:

We know

Mrs. Wilke spends $72 on pies

1 pie = $8

We take

$72 divided by $8 = 9 pies

So, Mrs. Wilke buys 9 pies for the school fair.