3x-9-4=2 find the value of x​

The quartiles of each data set are explained below.

To find the quartiles of a data set, first ordered the data. Thereafter, determine the following:

1. Order the data set, 4, 6, 5, 6, 2, 7, 6, 8:

2, 4, 5, 6, 6, 6, 7, 8

The center of the data is between 6 and 6. Therefore, the middle = (6 + 6)/2 = 6. This means the median or second quartile = 6

Middle value of the first part of the data = (4 + 5)/2 = 4.5.

Middle value of the second part of the data = (6 + 7)/2 = 6.5

First quartile = 4.5

Second quartile = 6

Third quartile = 6.5

The same way we will also find the quartiles of the other given data set as stated below.

2. For 17, 14, 20, 29, 12, 24, 10, 19, we have:

First quartile = 13

Second quartile = 18

Third quartile = 22

3. For 68, 88, 44, 68, 50, 68, 37, 50, we have:

First quartile = 47

Second quartile = 59

Third quartile = 68

4. For 52, 60, 24, 36, 48, 52, 72, we have:

First quartile = 36

Second quartile = 52

Third quartile = 60

5. For 102, 78, 312, 170, 250, 40, 52, 38, 125, we have:

First quartile = 46

Second quartile = 102

Third quartile = 210

Learn more about the quartiles of a data set on:

https://brainly.com/question/28168026

#SPJ1

The range is $53000

The box and whisker plot represents the given parameter

From the plot, we have the following representations:

Least salary = 19,000

Highest salary = 72,000

The range is calculated as

Range = Highest salary - Least salary

Substitute the known values in the above equation, so, we have the following representation

Range = 72000 - 19000

Evaluate

Range = 53000

We have

Total graduates = 120

30 out of 120 is 1/4

This means that

30 graduates = Lower quartile

From the plot, we have

Lower quartile = 25,000

This means that

30 graduates = 25,000

The salary of $33000 is at the median position

This  means that

50% earn above $33,000

25% represents the lower quartile

From the plot, we have

Lower quartile = 25,000

This means that

25% of the graduates earn above $25,000

Read more about box and whisker at

https://brainly.com/question/3473797

#SPJ1

Answer:

-------------------------------

Use dimensions of the rectangle to find its area:

Answer:

The table of contents for Envision Math Volume 1 includes the following topics:

1. Whole Number Operations

2. Decimals

3. Fractions and Mixed Numbers

4. Algebraic Thinking

5. Geometry

6. Measurement

7. Data Analysis and Probability

8. Integers

9. Ratios and Proportional Relationships

10. Expressions and Equations

11. Geometric Measurement and Transformations

12. Statistics and Probability

Answer:

11

Step-by-step explanation:

6x3

=18

-2

=16

divided by 4

=4

+7

=11

Answer:13.5

Step-by-step explanation:

6x3-2/4+7

First multiply 6 and 3. Then divide 2 and 4.

18-0.5+7

Then subtract 0.5 from 18 and add 7

18-0.5= 16.5

16.5+7= 13.5

20 is is equal to 5 multiplied by 4.

5 is equal to 20 divided by 4

Answer:

4/5 of a kilometer

Step-by-step explanation:

1 ) Turn 5 3/4 into a mixed number

5 3/5 = 28/5

2 ) Since we are trying to find the distance per day we can divide by 7/1

28/5 ÷ 7/1

3 ) The equals 4/5 which is our final answer!

Hope this helps! :)

From the given choices, the vertex of the arrow will be equal to (5, 2.5). Hence, option D is correct.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the equation given in the question,

y = -0.1 x² + x

Substituting the values from the given options,

Firstly, check it from point (5, 5)

5 = -0.1(5)² + 5

5 = -2.5 + 5

5 ≠ 2.5, so it cannot be the answer.

Let's check from (5, 2.5)

Then,

2.5 = -0.1(5)² + 5

2.5 = -2.5 + 5

2.5 = 2.5, this one is correct.

The values obtained in this case are equivalent, or we can say that the horizontal distance the arrow travels is equal to the height of the arrow.

To know more about equation:

https://brainly.com/question/29657983

#SPJ1

Bob divided incorrectly, 42÷6 = 7 is correct.

A division is a process of splitting a specific amount into equal parts.

Given that the Bob has 42 cookies and he wants to give all his cookies away to each of his six friends.

Which means Bob has to split 42 cookies among his 6 friends equally.

He gives each friend the same amount he concludes each friend will receive 42÷6 = 8 cookies.

Bob is incorrect if we split 42 cookies to six friends, then each friend will get 7 cookies not 8 cookies.

Hence, Bob divided incorrectly, 42÷6 = 7 is correct.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ1

The domain of the function f(x) = -3x³ + 2x² - 5 is (-∞, ∞).

What is domain?

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 domain of a function is the set of input or argument values for which the function is real and defined

The function has no undefined points nor domain constraints. Therefore, the domain is [tex]$$-\infty < x < \infty$$[/tex].

To learn more about domain visit:https://brainly.com/question/28135761

#SPJ1

The number of feet in 9 inches is 6.75 feet.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 hour = 60 minutes

We have,

1 inch = 3/4 feet

Multiply 9 on both sides.

9 inches = 9 x 3/4 feet

9 inches = 27/4 feet

9 inches = 6.75 feet

9 inches = 6(3/4) feet

Thus,

The number of feet in 9 inches is 6.75 feet or 6(3/4) feet.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ1

Answer:

13.3

Step-by-step explanation:

7/200=x/380

cross multiply

7(380)=200x

2660=200x

/200  /200

13.3=x

hopes this helps please mark brainliest

Therefore , it will take 1.71 hours to fill the empty cistern if all the pipes are running.

equation: a statement that two expressions having variable- and/or number-filled expressions are equivalent. Since equations are essentially questions, the search for a way to respond to them has spurred the development of mathematics.

Here,

Let's assume that the pipelines in this instance are "a" to drain the water in 6 hours, "b" to fill the water on its own in 4 hours, and "c" to fill the water in 5 hours.

Therefore, if "a" can empty it in 6 hours, it has only completed 1/6 of the task in that time. In 6 hours, "a" would have completed 6/6 or 1 whole, the entire task, and the cistern would have been fully filled, but in 1 hour, it has only accomplished 1/6 of that.

In an hour, "b" has completed barely a quarter of the task.

In that case, "c" has only completed 1/5 of the task in an hour.

Now, assuming it took "x" hours, if "a," "b," and "c" are running, and "a" is draining while b & c filling it up.

The cistern must be filled in "x" hours, thus after 1 hour, all three have completed only 1/x of the task.

well, let's add their rates, to see what we get then.

=> 1/4 + 1/5 -1/6= 1/x

=> 15 + 20 - 10 / 60 = 1/x

=>35/60 =1/x

=> x=60/35

=>1.71 hours

Therefore , it will take 1.71 hours to fill the empty cistern if all the pipes are running.

To know more about equation , visit

https://brainly.com/question/10413253

#SPJ1

Answer:

The sum will be close to 1/4

Step-by-step explanation:

1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.

Answer: The sum will be close to 1/4

Step-by-step explanation:

You can start by making the fractions have the same denominator, (8*6) which gets you 48

You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.

12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.

To solve this problem, we need to use the basic trigonometric identities, which state that for any angle x:

sin^2(x) + cos^2(x) = 1

1 + tan^2(x) = sec^2(x)

1 + cot^2(x) = csc^2(x)

We can use these identities to simplify the expression (sin0 + cos0) = 2 + sec0 csc0/Sec0 CSC0. First, we note that sin0 + cos0 = 1, because sin^2(0) + cos^2(0) = 1. So, the left-hand side of the equation becomes 1 = 2 + sec0 csc0/Sec0 CSC0.

Next, we note that sec0 = 1/cos0 and csc0 = 1/sin0, so we can rewrite the right-hand side of the equation as 1 = 2 + 1/cos0 * 1/sin0 / Sec0 CSC0.

Then, we note that Sec0 = 1/cos0 and CSC0 = 1/sin0, so the right-hand side of the equation becomes 1 = 2 + 1/cos0 * 1/sin0 / 1/cos0 * 1/sin0. This simplifies to 1 = 2 + 1/cos0^2 * 1/sin0^2, which simplifies further to 1 = 2 + 1/cos0^2 / sin0^2.

Finally, we use the identity 1 + cot^2(0) = csc^2(0) to replace 1/sin0^2 with 1 + 1/cos0^2, which gives us 1 = 2 + 1/cos0^2 / (1 + 1/cos0^2). Solving for 1/cos0^2, we get 1/cos0^2 = -1. This means that cos0 = 0, which is not a valid value for the cosine function. Therefore, the original equation has no solution.

The solution is Option A.

The number of males that are not enrolled in Composition 1 is 35 males

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of males not enrolled in Composition 1 be = A

Now , the equation will be

The number of males enrolled in Composition 1 = 89 males

The number of females not enrolled in Composition 1 = 46 females

The row total of females = 127

So , the equation will be

The number of females enrolled in Composition 1 = row total of females - number of females not enrolled in Composition 1

Substituting the values in the equation , we get

The number of females enrolled in Composition 1 = 127 - 46

The number of females enrolled in Composition 1 = 81 females

Now ,

The total number of males and females enrolled = 170

Let the total number of males and females not enrolled = x

The row total of total males and females enrolled and not enrolled = 251

So , the equation will be

Total number of males and females not enrolled = row total of total males and females enrolled and not enrolled  - total number of males and females enrolled

Substituting the values in the equation , we get

Total number of males and females not enrolled = 251 - 170

Total number of males and females not enrolled = 81

Now ,

The column total of males and females not enrolled = 81

So ,

The total number of males not enrolled = column total of males and females not enrolled - number of females not enrolled in Composition 1

Substituting the values in the equation , we get

The total number of males not enrolled = 81 - 46

The total number of males not enrolled = 35 males

Therefore , the value of A is 35 males

Hence ,

The number of males that are not enrolled in Composition 1 is 35 males

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

it is A

Step-by-step explanation:

The value of n after solving the given equation comes to 75.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation.

A variable, coefficients, and constants make up an algebraic equation in most cases.

So, we have the equation:

n/(200 - n) = 3/5

Now, solve for x as follows:

n/(200 - n) = 3/5

5n = 600 - 3n

8n = 600

n = 600/8

n = 75

Therefore, the value of n after solving the given equation comes to 75.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ1

The gross pay of worker this week is $432.325

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Number of money made in one hour = $ 14.35

Number of hours, worked on Monday = 8 hours

Number of hours, worked on Tuesday = 1/2 hours

Number of hours, worked on Wednesday = 8¾ hours

Number of hours, worked on Thursday = 4 hours

Number of hours, worked on Friday = 8¼ hours

Total number of worked = 4 + 8 + 8¼ + 8¾ + 1/2

                                             = 29.5

Total gross pay = 14.35 × 29.5

                         = $432.325

Thus, The answer is $432.325

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ1

Use matrices created using the coefficients of the unknowns and their related determinants to apply Cramer's rule.

Three easy actions must be taken in order to describe this system as a matrix:

First, create a matrix with all the coefficients. An acronym for this is a coefficient matrix.

Multiply this matrix by the system setup's variables in another matrix.

In another matrix, place the solutions on the other side of the equal sign.

A = [[2, 3], [1, 1]]

A_{x} = [[3, 4], [1, 7]] d

A{y} = [[2, 4], [1, 7]]

det (A) = 2-3=-1

det (Ax) = 14 - 4 =10

Delta_{y} = [[2, 4], [1, 7]] det (A7), 22-2012

x = (det (Ax))/(det (A)) = 10

det (Ay) = 14 - 4 =10

To learn more about matrix refer to:

https://brainly.com/question/27929071

#SPJ1

Answer:   2.34

Step-by-step explanation:

After the decimal point it goes the tenth then the hundredth place. So that will be the second number after the decimal point. The question gives you a number and asks you to round to the hundredth place so you are going to first look what number is in the hundredth place and then look in the number after it. 3 is the number in the hundredth place and 6 is the number after. The rule is if the number is less than 5 the number stays as is and if the number is greater than 5 you round the number up. Since the number after the 3 is 6 you are going to round up. So the number rounded to the hundredth place is going to be 3.24.    

The addition equation is 93 - 67 = 26 in the number line.

What is number line?

A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). These numbers to the left of zero are all negative while the numbers just on right of zero are all positive. As a result, we can argue that on a number line, the value of numbers grows as we approach the right. The numbers on the right are therefore larger than the ones on the left, according to this statement.

The entire question is depicted in the picture that is attached.

Richard added 26 to 67 by first marking point 67 on the line, then adding 2 tens and 2 threes until he reached 93 as opposed to subtracting 67 to 93 by subtracting 6 tens and 7 ones starting at point 93, which results in 26.

Take note that 26 is equal to 10 plus 10 plus three additional times.

To verify his work, we add the following: 67 + 26 = 93, which is also written as 93 - 67 = 26.

Hence the addition equation is 93 - 67 = 26.

Learn more about number line, by the following link

https://brainly.com/question/12399107

#SPJ1

a) The mode of the data set is 7

b) The median of the data set is 6

c) The mean of the data set is 5.2

d) The range of the data set is 7.

Given,

Ten numbered data set; 3 & 7 & 2 & 4 & 7 & 5 & 7 & 1 & 8 & 8

We have to find the following;

a) Mode;-

Mode is the number that occurs the highest number of times.

Here,

7 is the most repeating number.

b) Median;-

Finding the middle number requires sorting all the data points and choosing the center one (or if there are two middle numbers, taking the mean of those two numbers).

Here,

5 and 7 are in the middle.

So, Median = 5 + 7 = 12/2 = 6

c) Mean;-

A dataset's mean is calculated by dividing the total number of values by the sum of all the values.

Here,

Mean = 3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8 / 10 = 52/10 = 5.2

d) Range;-

The difference between a collection of numbers' highest and lowest values is known as the range. Subtract the distribution's lowest number from its greatest number to determine it.

Here,

Lowest number = 1

Highest number = 8

Range = 8 - 1 = 7

Therefore,

a) Mode = 7

b) Median = 6

c) Mean = 5.2

d) Range = 7

Learn more about mean, mode, median and range here;

https://brainly.com/question/15444532

#SPJ4

Answer:

a

Step-by-step explanation: becasue i said so

Answer:

d) B => b. 0

Step-by-step explanation:

Now we have to,

→ find the y-intercept of the line.

Formula we use,

→ y = mx + b

→ b = y-intercept

Then the y-intercept is,

→ y = mx + b

→ y = (-2/3)x + 0

→ [ b = 0 ]

Hence, the y-intercept is 0.

Answer:

[tex]x=-3, 4[/tex]

Step-by-step explanation:

[tex]x^2-x-12=0 \\ \\ (x-4)(x+3)=0 \\ \\ x=-3, 4[/tex]

The required percent markup is 87.5%.

Here,
The markup is the difference between the selling price and the cost price, expressed as a percentage of the cost price.

Markup = ((Selling price - Cost price) / Cost price) x 100%

In this case, the cost of materials is $80 and the selling price is $150, so the markup is:

Markup = ((150 - 80) / 80) x 100%

Markup = (70 / 80) x 100%

Markup = 0.875 x 100%

Markup = 87.5%

Therefore, the percent markup is 87.5%.

Learn more about percentages here;

https://brainly.com/question/29306119

#SPJ1

The equation of a parabola with a directrix at y = −3 and a focus at (5, 3) is y=1/12(x - 5)² .

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

Given that the directrix of parabola is at y=-3.

Focus at (5, 3)

parabola with equation  (x - h)² = 4p(y - k)

p = 3 because the distance from the focus to the directrix is 6 and p = 6/2.

The vertex (5, 0)

Substitute h as 5 and k as 0.

(x - 5)² = 4(3)(y - 0)

(x - 5)² = 12y

Divide both sides by 12

y=1/12(x - 5)²

Hence,  the equation of a parabola with a directrix at y = −3 and a focus at (5, 3) is y=1/12(x - 5)² .

To learn more on Parabola click:

https://brainly.com/question/21685473

#SPJ1

Answer:

[tex]36-15i[/tex]

Step-by-step explanation:

[tex](i)(1+2)(2-3i)^2 \\ \\ =3i(2-3i)^2 \\ \\ =3i(9i^2 + 4 -12i) \\ \\ =3i(-9+4-12i) \\ \\ =3i(-5-12i) \\ \\ =-15i-36i^2 \\ \\ =36-15i[/tex]

Answer:

y = -8x + 10.

Step-by-step explanation:

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -8 and the y-intercept is (0, 10), so the equation is y = -8x + 10.