a number, X, rounded to 1 significant figure is 40. Write the error interval for x

The independent variable of a boxplot is categorical. This means that variable used to create boxplot consists of distinct categories rather than continuous numerical values. The boxplot allows to visualize and compare the distribution of a quantitative variable across different categories .

In statistical analysis, the independent variable is the variable that is manipulated or controlled in order to observe its effect on the dependent variable. In the case of a boxplot, the independent variable is typically a categorical variable. This means that it consists of distinct categories or groups that are not inherently ordered or continuous.

For example, in a study comparing the heights of individuals from different countries, the independent variable would be the country itself, which is a categorical variable. The heights of individuals would be the dependent variable, and the boxplot would show the distribution of heights for each country.

By using a boxplot, we can easily compare the distribution of a quantitative variable across different categories or groups and identify any differences or patterns that may exist. It provides a visual summary of the minimum, first quartile, median, third quartile, and maximum values within each category, allowing for easy comparisons and identification of outliers.

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Answer:

The answer to the first question is (0.2y^7)^3

Step-by-step explanation:

The expression (0.2 × y⁷)³ is a cube of a monomial in standard form and the expression (16/3)x¹¹y¹⁸ is a monomial in standard form.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression below which is given in the question

0.008y²¹

We have to write the given expression as a cube of a monomial in standard form

0.008y²¹

0.2 × 0.2 × 0.2 × y⁷× y⁷× y⁷

(0.2 × y⁷)³

The above expression is a cube of a monomial in standard form

(−3xy²)³· (− 2/3x²y³)⁴

We have to write the given expression as a monomial in standard form

(−3xy²)³· (− 2/3x²y³)⁴

(−3x)³(y²)³· (− 2/3x²)⁴(y³)⁴

x³y⁶· 16/3x⁸y¹²

(16/3)x³⁺⁸y⁶⁺¹²

(16/3)x¹¹y¹⁸

The above expression is a monomial in standard form.

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Answer:

The area of the circle is 3,8550 mm

Step-by-step explanation:

Step-by-step explanation:

JL would be the total length

The Sum of JK and KL would be equal to the value of JL

4x + 3x = 42

Finding x

7x = 42

x = 42/7

x = 6

Hence,

Value of x is 6

Step-by-step explanation:

4x + 3x = 42

7x = 42

x = 42/7 = 6 answer

Answer:

A

Step-by-step explanation:

The function has vertical asymptotes at x=7 and x=-3, so the denominator needs to have factors (x-7) and (x+3).

This eliminates all the options except for A.

Answer:

She knows that in the last week 30 customers paid cash, 40 custo… ... paid cash, 40 customers used a debit card, and 6 customers used a credit card. Based on these results, express the probability that the next customer will pay with something other than a debit card as a decimal to the nearest hundredth.

Step-by-step explanation:

Answer:

║⊕║·····∧····∨····Hola :D····∨····∧····║⊕║

Your answer should be:

47.37% or 36/76 as a fraction

Step-by-step explanation:

Hope this helped!

Brainliest appreciated!

Have a great day! :D

For a 35 number of pages, the price would be equal. & it would cost $82.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

An online scrapbooking company charges $12 for a basic book and $2 per page.

Meanwhile, a family friend is willing to make a scrapbook for $47 plus $1 per page.

let, the number of page = x, the price would be equal.

so, we get,

12 + 2x = 47+x

i.e. x = 35

Hence, For a 35 number of pages, the price would be equal. & it would cost $82.

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True, perpendicular lines have slopes that are negative reciprocals of one another.

Perpendicular lines are lines that intersect at an angle of 90°. The slopes of two perpendicular lines are negative reciprocals of one another. This implies that if two lines have slopes m1 and m2 and are perpendicular, then the relationship between m1 and m2 is:

m1 × m2 = -1.

A reciprocal is a number that can be divided into one. In the case of a slope, the reciprocal is calculated by flipping the fraction upside down, thus changing the numerator and denominator. Therefore, for two perpendicular lines with slopes m1 and m2:

m2 = -1/m1.

Thus, the slopes of two perpendicular lines are negative reciprocals of one another.

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Answer:

x + y =2

-x         -x

y = -1x + 2

Perpendicular is y= 1x + 2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

STEPS to find the find the scale factor given a center of dilation an image and a Preimage are given below

What is Scale factor, pre-image and dilation?

Dilation: A dilation is a stretch or a contraction in a figure or point's size and placement.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation. The phrase "scale factor" describes this transition.

Scale Factor: In a dilatation, the scale factor refers to how much the figure is enlarged or contracted.

Step 1:

By comparing the length of one side of the pre-image to the corresponding side of the post-image, one may determine the dilation scale factor. The pre-image must be multiplied by the scaling factor to equal the post-image. If the side of the pre-image is the length of \(lpre\)and the length of the corresponding side of the post-image is \(lpost\),

, then the scale factor is given by k in the equation  =  \(lpre\) \(k\)=\(lpost\).

We can solve for k algebraically.

Step 2:-

Choose a matching group of spots on the pre-image and picture. the main point

(x1,y1) being the focal point of the pre-image (x2,y2) be the Centre of the enlarged picture.

By resolving the following two equations, you may get the coordinates of the Centre of dilation,

Step 3:-

Find the coordinate of center of dilation,

\(x_{0}=\frac{kx1 - x2}{k-1} \\\\y_{0}=\frac{ky1 - y2}{k -1}\)

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Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Answer: not a solution

Step-by-step explanation: 7a = 7 * 21 which does not equal 28, it equals 147, 7 * 4= 28, so actually a=4

Hope this helps :)

Answer:

40 or 16+6+6+6+6

Step-by-step explanation:

To find the surface area of a 3d figure, we can imagine all of its faces laid down on a flat plane. In this case, we would have a square, and four congruent triangles. Now all we have to do is find the areas of each shape and add them up.

4 is the base of the pyramid, so it's also the square's side length. Since a square has four equal sides, our square's length and width are both 4.

4*4 = 16

For every triangle we have, the base is 4 and the height is 3. The area of a triangle can be found using the formula A=(bh)/2. We plug in the values:

A = (4*3)/2

A = (12)/2

A = 6

Since we have 4 triangles, the surface area is:

16+6+6+6+6 = 40

Answer:

16+6+6+6+6

Step-by-step explanation:

KHan

The region (labelled A) corresponding to all values of x and y that is added as an attachment

Based on the given information, we can write the following system of inequalities:

Lashonda exercises for at least 7 hours:

x + y ≥ 7

She spends at most 5 hours on weight training:

y ≤ 5

She spends at most 11 hours doing cardiovascular work:

x ≤ 11

So the system of inequalities can be written as:

x + y ≥ 7

y ≤ 5

x ≤ 11

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Step-by-step explanation:

Tan = opposite / adjacent

use pythagorean theorem to find CD first.

A² = B² + C²

9² = (SqRt (66) )² + C²

81 - 66 = C²

C = SqRt (15)

now find tan

SqRt (66) / SqRt (15 = tan

tan = 2.0976

tan^¹(2.0976) = 64.51 degrees

Answer:

I don't understand the question. Write it again & briefly.

Answer:

18

Step-by-step explanation:

If you x 12x6 the area would get you 72 you already used 6 and 12 you just times 6x3 and that gets 18. If this didnt help im sorry!

Answer:

The question is Given that we should range the graph below: 12,10,9,8,6,5,4,3,2

-12-11-10-9-8-7-6

1 2 3 4 5 6 7 8 9 10 11 12

8

-9

-10

56

-12

and the ranging of my answer is that

-12

-10

-9

-8

-6

-5

-4

-3

-2

-1.

1 2 3 4 5 6 8 8 10 12

12

10

9

8

6

5

4

The range of the given function \(y = -e^x\) can be represented in set notation as follows:

Range: {y | y ≤ 0}

As per the shown graph, the given function is  \(y = -e^x\) , which represents an exponential decay.

As x increases, the value of  \(-e^x\) decreases rapidly.

Consequently, the range of the function is all real numbers less than or equal to zero.

Here, the graph of this function forms a curve that approaches the x-axis but never intersects or goes above it.

The function has no upper bound but approaches zero as x approaches negative infinity.

However, it never reaches zero or any positive value, resulting in a range that consists of all real numbers less than or equal to zero.

The range of the given function \(y = -e^x\) can be represented in set notation as follows:

Range: {y | y ≤ 0}

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Answer:

16.67%, 50%, 16.67%

Step-by-step explanation:

There are 6 different ways that the 4 kids can be paired up, so any one of the ways is rounded to 16.67%. So a and c are 16.67%

Not Zack is any pairing that doesn't have a Z. That is 3 out of 6, which is 50%.

By using the concept of growth, it can be calculated that

Number of turkeys after 10 years  = 57

It took 10 years for the number of turkeys to double

What is growth?

Growth is the increase in the value of an asset or cost or population at a certain rate over a certain period of time.

Original number of turkeys = 45

Rate of growth = 2.3 %

Time  = 10 years

Number of turkeys after 10 years = \(45 \times (1 + \frac{2.3}{100})^{10}\)

                                                       = 57

Now,

New number of turkeys = 45 \(\times\)2 = 90

\(90 = 45 \times (1 + \frac{2.3}{100})^n\)

\((1 + \frac{2.3}{100})^n = \frac{90}{45}\\\\1.023^n = 2\\n\ ln (1.023) = ln( 2)\\n \times 0.023 = 0.693\\n = \frac{0.693}{0.023}\\n = 30.1 \ years\)

It took 10 years for the number of turkeys to double

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Answer:

x = 120

Step-by-step explanation:

0.25(x + 4) - 3 = 28

Multiply 0.25 into the parenthesis

0.25x + 1 - 3 = 28

Combine like-terms

0.25x - 2 = 28

Add 2 to both sides

0.25x = 30

Divide both sides by 0.25

x = 120

The probability of Jack taking 2 red candies is 3/28.

What do you mean by a union in probability?
The letter "U" (union) stands for "or." Specifically, P(AB) represents the probability of that event A or event B occurring. The sample points that are present in both event A and event B must be counted in order to determine P(AUB).

The new probability set made up of all the elements from both sets is created when two sets are joined. When two sets intersect, a new set is created that includes every element from both sets.

Solution Explained:

Given in the question,

A bag contains 3 red and 5 green candies.

Total possibilities is 3 + 5 = 8  

Jack takes a candy at random and eats it  

A/Q there are 3 red candies out of 8, the probability is given by,

P(R) = 3/8

Now there are 2 red candies out of 7, so the probability is given by,

P(R') = 2/7

The probability of both events is given by,

P(2R) = P(R) × P (R') = 3/8 × 2/7 = 3/28

Therefore, the probability of Tim taking 2 red candies is P(2R) = 3/28

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These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth

The aspect of Earth's orbital relationship to the Sun that varies with a periodicity of both 400 Ka and 100 Ka is the eccentricity of Earth's orbit. The eccentricity refers to the shape of Earth's orbit around the Sun, which is not a perfect circle, but an ellipse. The eccentricity of Earth's orbit changes over time due to gravitational interactions with other planets, particularly Jupiter and Saturn. When Earth's orbit is more elliptical, its distance from the Sun varies more throughout the year, leading to variations in climate and the amount of solar radiation received on Earth's surface. The periodicity of 400 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the amount of solar radiation received at different latitudes and the distribution of ice ages. The periodicity of 100 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the intensity of the seasons and the distribution of glacial periods. These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth.

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The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D with three variables.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The functions of a point (or vector) in R2 or R3 that have real values will now be looked at. These functions will typically be defined on sets of points in R2, but there will be occasions when we utilise points in R3 and when it is more convenient to think of the points as vectors (or terminal points of vectors).

Each point f(x,y) in D is given a real number f(x,y) according to a real-valued function f defined on a subset D of R2. The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D, and the range of f is the greatest set D in R2 on which f is defined.

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Answer:

y = -1x -2

Step-by-step explanation:

[] First, we can tell it is negative because it is going from top-left to bottom-right

[] Next, it intercepts the y-axis at -2, so our b is -2

[] Last, since it is graphed, we can use "rise over run"

       () We move down one and to the right one, this becomes 1/1, which becomes a slope of 1, so our m is -1 since it is negative

Now let's plug our pieces in

Slope-intercept form is y = mx + b

y = mx + b

y = (-1)x + b

y = -1x -2

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:The width of the rectangle is 1 unit

Step-by-step explanation:Let the length of the rectangle be x

let the breadth be x-5

Since ,area of rectangle=length*breadth

           area = x*(x-5)

           6=x^2-5x

           x^2-5x-6=0

solving the above equation,

x^2-(6x-x)-6=0

x^2-6x+x-6=0

x(x-6)+1(x-6)=0

(x-6)(x+1)=0

x=6 and x=-1

since the breadth cannot have negative value

Hence ,the breadth of rectangle is 1 unit

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Answer: x= 60

Step-by-step explanation:

In the given figure

These are vertically opposite angle so, 2x=120

x=60