(3x-5)/4 is less than or equal to -1

How to solve for x?

Ensuring that data is collected the same way each time it is collected is an example of data consistency.

Therefore, ensuring that data is collected the same way each time it is collected is an example of data consistency.

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Answer:

Step-by-step explanation:Answer:it Varys depending on the type of problem

Step-by-step explanation:Answer:

It Varys depending on what type of multi step problem

Step-by-step explanation:

if it has parentheses () then you do whatever problem is in the parentheses next is exponents which is the number of times a number is multiplied by itself the next thing you want to do is multiplication and division from left to right the last thing you will do for a multi step problem is Addition and subtraction from left to right always remember P. E.M.D.A.S for parentheses, exponents, multiplication, division, addition and subtraction.

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Work Shown:

A+B = 180 since the angles are supplementary

(2x-9)+(2x+21) = 180

4x+12 = 180

4x = 180-12

4x = 168

x = 168/4

x = 42

Then,

As a check, A+B = 75+105 = 180 to confirm the answer.

Answer:

the volume increases by a factor of  27

Step-by-step explanation:

pretend that the volume V can be

V=l×w×h 'l' is length, 'w' is width, and 'h' is height. Let's increase all of those measures by a factor of 3.

The new volume will be V': V'=3l × 3w × 3h

we can rearrange:V'=3×3×3×l×w×h

we now have l×w×h by itself: V'=3^3 ×l×w×h=3^3×V

You can now see that if all the linear dimensions of the prism are tripled, we get an increase of 3^3 to the original volume:

V'=27V

Proportion of females who have less than 3 close friend working note

What is the statistical median?

(a) Mean =1.04

Median=1

assuming the number of close friends as a whole value, our mean is also 1.

the distribution is roughly symmetric. because mean is approximately equal to median.

The explanation is provided in the image attached above;

Answer (b)Median number of a close friend for females is 1.

The calculation for median is provided in the image.

Answer(c) According to the shape of the distribution as we have observed from the data we can say that the median calculated for close friends of females is the same as the mean number of close friends for men.

Here we are not assuming the number of close friends in decimal(because it is not a continous variable).

Answer (d) P(less than 3)  = P(0)  +  P(1)  + P(2)

= 0.353+0.368+0.191=0.912

Proportion of females who have less than 3 close friend

working note:

m= mean =1.04

probability = ( e-m  x  mr)  /   r

P(0)   =  (e-1.04  x  1.040 )   /  0  = 0.353

P(1)   =  (e-1.04  x  1.041 )  /  1  = 0.368

P(2)   = (e-1.04  x  1.042 )  /  2  =  0.191

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The complete question is -

The following table reports counts of the number of "close friends" reported by a sample of men and a sample of women. Number of close friends 0 1 2. 3 4 Total Number of male respondents 20 12 10 5 N 49 Number of female respondents 25 13 9 6 2 2 55 a. Is the distribution corresponding to the number of female respondents roughly symmetric, skewed to the right, skewed to the left? Explain. b. Calculate the median number of close friends for females. Round your answer to two decimal places c. Based on the shape of the distribution (and only accounting for the number of close friends for females), do you expect the median calculated in part b. to be greater than the mean, smaller than the mean, or about the same as the mean number of close friends for men? Do not calculate the mean. d. What is the proportion of females who say they have less than 3 close friends? Give an exact answer.

Answer:

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Given AP:

We observe that:

Let the three terms be aₙ, aₙ₊₁, aₙ₊₂.

Use nth term formula:

The following two terms are:

Their sum is 111, set an equation and solve for n:

The three terms are 9th, 10th and 11th terms and they are:

Simplification form of 1/5 raised to the power minus 1 is 5.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

If a fraction's top and bottom share only one additional common factor, it is said to be in its simplest form. In other words, the top and bottom cannot be divided further and remain full numbers. Simplest form is also referred to as "lowest words."

The reduced form of a fraction is another name for its most basic form. For instance, the simplest representation of a fraction with a common component of 1 is 34 The simplest form, however, is not 2/4 because 12 is a further simplification of 2/4 that can be written.

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Answer: 1/5

Step-by-step explanation: 3/15 divided by 3= 1/5

The answer is 1/5.

First, You have to figure out if there are any numbers that go into both the numerator and denominator evenly.

This number, in this problem, would be three.

This is because 3/3=1 and 15/3=5.

Given that it asks for a fraction in the simplest form, we of course have order those numbers as numerator and denominator.

The three is the numerator, or, above the fifteen, or the denominator.

This must mean that the one is the numerator.

Because the 1 is the numerator, that must mean the 5 is the denominator, which brings us to the answer.... 1/5

Answer:

6703488×1810

9

Step-by-step explanation:

Four more than five times x is the same as x increased by 26. The value of x is  x=5.5

Given information can be written in the form of algebraic equation is :

5x+4=x+26

5x-x=26-4

4x=22

x=5.5

The equal to (=) symbol is used to unite two algebraic expressions to form an algebraic equation. Because polynomials are included on both sides of the equal sign, algebraic equations are sometimes referred to as polynomial equations. Variables, coefficients, constants, and algebraic operations like addition, subtraction, multiplication, division, and exponentiation are all components of an algebraic equation.

A mathematical statement with two equal algebraic expressions is called an algebraic equation. When P and Q are polynomials, the usual form of an algebraic equation is P = 0 or P = Q. Equations in algebra with only one variable are referred to as univariate equations, whereas equations with several variables are referred to as multivariate equations. The solution of an algebraic problem is always balanced.

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Answer:

e = 40h

After eleven hours, she will earn $440.00

Step-by-step explanation:

Let e = earnings

Let h = hours

e = 40h  She earns 40 for every hours that she tutors.  If she tutors for 11 hours, you would substitute aa for h to calculate her earnings.

e = 40(11)

e = 440

Answer:

Step-by-step explation; c2 + c2 -3c + 5c + 3 - 2

                                        = 2c2 + 2c +1

√17 unit is  the components of vector V .

what is components of vector?

A vector quantity has a magnitude and a direction as its two attributes. You must compare both the magnitude and the direction of two vector quantities of the same type.

The initial and terminal points of a vector v  are given by

(6, 3) and (2, 2).

Hence:

The component form of v is

V = ( 2 - 6) ( 2 - 3)

   = (  -4 , -1)

The length of the vector is

l v l = [tex]\sqrt{(-4)^{2} + ( -1)^{2} }[/tex]  = √17 unit

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The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

Therefore, the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

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[tex] \: \Large \mathbb{ANSWER:}[/tex]

[tex] \: \: \boxed{ \rm{{x}^{2} - 4x - 2 - \frac{8}{x - 1} }} \\ \\ [/tex]

[tex] \: \: \text{Kindly Refer to the Attachement for the solution.}[/tex]

Answer:

Reflected over the x-axis , Compressed by a factor of 0.4. , Translated 2 units left.

What is  Reflected over the x-axis?

Point (x, y) is reflected across the x-axis as (x, -y). The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse.

[tex]y = \sqrt[3]{x}[/tex]

[tex]y' = - 0.4\sqrt[3]{x - 2}[/tex]

Required

The transformation from y to y'

First, y is reflected over the x-axis.

The transformation rule is

(x, y)   → ( x, -y)

So, we have

y = ∛x becomes

y' = - ∛x

Next, it was compressed by a scale factor of 0.4

The rule is

y' = k * y

Where k is the scale factor (i.e. k = 0.4)

So, we have

y' = 0.4 * -∛x

y' = - (0.4)∛x

Lastly, the function is translated 2 units left;

The rule is

(x, y)  → ( x - 2 ,y)

So, we have

[tex]y' = ( 0 .4)\sqrt[3]{x - 2}[/tex]

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Answer:

The answer are given below:

Step-by-step explanation:

1. Roaster form

A={0,1,2,3,4}

Set builder form

A={x: x⊂ w, x<5}

2.

Roaster form

B={2,3,5,7,11,13,17,.................}

Set builder form

B={x: where x is a prime number}

3.

Roaster form

C={jan ,june ,july }

Set builder form

C={x: x is month starting with "J" }

4.

Roaster form

D={4,6,8,9}

Set builder form

D={x: where x is a prime number, x<10}

5.

Roaster form

E={null}

Set builder form

E={x: x is null}

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Answer:

Dot plots are hard to construct when dealing with larger, more precise data sets. This makes it difficult to read multiple data points, and it gets very confusing after a while. Therefore, it would not be a good choice for graphing due to its inaccuracy.

Answer:

Dot plot aren't too good for large sets of datas. If you also got many data that are close together, the more you got the harder it will be might to read the data that your doing

Answer:

9 books are needed for the plans to cost the same

Step-by-step explanation:

50 = 5 + 5x

45 = 5x

x = 9

Answer:8

Step-by-step explanation: 8 *2=16-5=11

The value of AB in the geometry is 24 units.

According to the diagram,

BD ≅ BC

BD = 5x - 26

BC = 2x + 1

AC = 43

Therefore, the value of AB can be found using the knowledge of geometry.

BD = BC

5x - 26 = 2x + 1

5x  - 2x = 1 + 26

3x = 27

divide both sides by 3

x = 27 / 3

x = 9

Therefore,

BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19

AC = BC + AB

AB = AC - BC

AB = 43 - 19

AB = 24 units

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Answer:

D.Moving left to right, the whole number stays the same, the tenths stay the same, and the hundredths decrease by 2.

Answer:

18 cm

Step-by-step explanation:

Range = Largest Number - Smallest Number

We know the following from the original data set:

Largest Number = 32 cm

Smallest Number = 3 cm

Original Range = 32 cm - 3 cm = 29 cm

The outlier is 3 cm because all the other numbers are relatively close to ine another in their 20s and 30s. If we remove 3 cm from the data set, we know the following:

Largest Number = 32 cm (Doesn't change)

Smallest Number = 21 cm

New Range = 32 cm - 21 cm = 11 cm

We can compare the two ranges by subtracting the larger range from the smaller range:

Range Difference = 29 cm - 11 cm = 18 cm

Therefore, the range decreases by 18 cm when we remove the outlier.

The inequality is 16 + 5t ≥ 61 and it takes 9 minutes or more minutes to fill the tank with at least 61 liters of waters.

Inequality:

Inequality is defined as a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given,

Latoya's fish tank has 16 liters of water in it. she plans to add 5 liters per minute until the tank has at least 61 liters.

Here we need to find the possible numbers of minutes Latoya could add water and we have to find the inequality also.

Let t be the number of minutes.

So, now we can start with 16 liters and every minute (t) you plan to add 5, the final product will have at least (≥) 61 so the equation would be:

=> 16 + 5t ≥ 61

=> 5t ≥ 61 - 16

=> 5t ≥ 45

=> t ≥ 45/5

=> t ≥ 9

So, Latoya need 9 minutes or more to fill the tank with at least 61 liters.

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Answer:

let's assume that Sandra's regular hourly rate is x dollars per hour then she is paid 1.5x per hour for the overtime and we have 40x + (48 - 40) *1.5x = 442

Step-by-step explanation:

The value of measure of ls is 126 degrees.

It is given in the question that the measure of two supplementary angles, ls and lt, are in the ratio of 7:3.

We have to find the value of measure of ls.

Let the measure of two supplementary angles ls and lt be 7x and 3x respectively.

We know that, the sum of measure of  two supplementary angles is 180 degrees.

Hence, according to the data given in the question, we can write,

7x + 3x = 180 degrees

10x = 180

x = 180/10

x = 18 degrees

Hence,

mls = 7x = 7*18 = 126 degrees.

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The length of the diagonal AC can be calculated using equations:

= √(64 + W²).

The correct option is B.

The Pythagorean theorem states that the total of the squares upon that legs of a right triangle equals the square upon that hypotenuse (the side opposite this same right angle)—or, in popular algebraic notation:

a² + b² = c².

The length of the rectangle = 8

The width of the rectangle = w

The hypotonus of the rectangle = p

Using the Pythagoras formula:

P² = L² + W²

P = √(L² + W²)

Putting the value of Length = 8

P = √(8² + W²)

P = √(64 + W²)

The length of the diagonal AC can be calculated using equations:

= √(64 + W²).

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The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6

What is perimeter of the rectangle?

The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x+ 6

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2( l + w)

Given the following parameters

length l = 8x - 1

width w = 2x + 4

Substitute the expressions for the length and width into the formula;

P = 2(8x - 1 + 2x + 4)

P = 2(10x + 3)

Distribute 2 over each term in the parenthesis

P = 2(10x) + 2(3)

P = 20x + 6

Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6.

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The complete question is -

The perimeter formula for a rectangle is 2l + 2w, where l is the length and w is the width. Complete the steps to find an expression that represents the perimeter of the rectangle. Substitute the expressions for length and width into the formula 2l + 2w. Distribute 2 to each term in the parentheses. Combine like terms. inches