Determine if conjecture: True or False

The difference between two negative numbers is always negative

The correct answer is that tables can help to identify patterns in complex data sets, particularly when multiple variables are involved. They provide a linear organization that simplifies finding specific data points and can facilitate the calculation of conditional probabilities in regard to dependent variables.

Selecting the correct advantage of using tables among the given options, the correct response would be option B: Tables can help to see patterns in data. Tables are indeed important tools when dealing with data and statistical information. They organize data in a linear way, making it easier to locate specific points. They're capable of breaking down complex data points that might be hard to convey through written explanation or through other graphical data representation formats.

Furthermore, tables are particularly useful when displaying data associated with multiple variables - for example in Contingency Tables or Two-way tables. These tables simplify the process of calculating probabilities, especially when the variables involved are dependent on each other. These tables can facilitate calculating conditional probabilities easily by decisively organizing the data.

While tables are advantageous in their own right, it's not accurate to say, as in option A, that they automatically make the most difficult problems much easier, nor, as in option C, that all problems require tables to solve them. Instead, they represent a powerful, but specific tool among many others available for data analysis.

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Compatible numbers are numbers in a problem that are easy to compute is a correct statement.

To perform mathematical operations like addition, subtraction,division and multiplication break the numbers into parts such that they are near to the multiple of 10 by subtracting or adding such values to those numbers.

According to the given question compatible are easy to compute it is true.

Compatible numbers are easy for addition, subtraction,division and multiplication and these operations can easily done by mentally without pen and paper.

For example - If we have to add 430 and 760.First we will add 400 and 700 that is 1100 and 30 added to 60 is 90 so the answer is 1190.

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it is C hope this helps

Final answer:

A font is a complete set of characters with the same typeface or design, crucial for typographic identity in various industries. Typefaces can be serif, conveying classical vibes, or sans serif, appearing modern. Digital advancements have made typefaces more accessible and diverse for designers.

Explanation:

Understanding Typeface in Typography

A font is a complete set of characters that uses the same typeface or design. This uniformity is a vital aspect of typographic identity and conveys different meanings and vibes, which can be crucial to a corporate image, for instance. The selection of an appropriate typeface is influenced by its use case; businesses might choose a typeface that reflects their industry and brand values. The character of a font can be greatly affected by factors such as whether it is serif or sans serif. A serif typeface, which includes small decorative lines at the end of the strokes that form the letters, like Times New Roman or Garamond, often conveys a classical or refined feeling. In contrast, sans serif typefaces, like Helvetica, lack these lines and therefore appear more modern.

The evolution from physical typesetting to digital design has vastly increased the availability and variety of typefaces, making them accessible and affordable, some even for free. In addition, digital typefaces can be created and distributed worldwide with minimal cost. This evolution has led to a proliferation of typefaces for designers to choose from in creating distinct and visually engaging texts.

the equation would be:

C = 75+100w

Answer: Our required function would be

[tex]C=75+100w[/tex]

Step-by-step explanation:

Since we have given that

Charges of daycare = $175

Enrollment fee = $100 per week

Let C be the cost of daycare after a certain number of weeks.

Let w be the number of weeks.

So, function would be

[tex]C=75+100w[/tex]

Hence, our required function would be

[tex]C=75+100w[/tex]

Truman took approximately 51 minutes to get to work.

To calculate the total time it took Truman to travel to work, we need to consider the time he waited for the bus and the time it took to travel the distance.

Answer:

3.200×107   ​h

Step-by-step explanation:

The perimeter of the woods behind Adam’s house, which is shaped as a rectangle, is calculated by the formula 2(length + width), substituting the given values we get 38 m.

The subject of this question involves calculating the perimeter of a rectangle, in this case, the size of the woods. Perimeter is calculated by adding all the sides of a figure, and for a rectangle, you can calculate it using the formula: 2(length + width).

Given that the length of the woods is 15 m and the width is 4 m, we can substitute these values into the formula like this: 2(15m + 4m) = 2(19m) which gives us a total perimeter of 38 m.

To visualize this, if an average male is about two meters tall, around 19 men laid end to end would cover the total perimeter of the woods.

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we know that

[tex](5x+15)\°+(3x-3)\°=180\°[/tex] -----> by consecutive interior angles

so

Solve for x

[tex](5x+15)+(3x-3)=180\\ 8x+12=180\\8x=180-12 \\x=168/8 \\x=21\°[/tex]

therefore

the answer is

[tex]x=21\°[/tex]

The Prove of m∠KJL = m∠KML is shown below.

An "arc" is a smooth curve that connects two points in mathematics. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference. An arc is a type of curve.

We have,

KJL and ∠KML intercept arc KL.

Now, Angle made by arc at center is double the angle made on any point on the circle other than arc.

So, m <KJL = 1/2 < ( KL)

m <KML = 1/2 (KL)

By comparing the above statement

m <KML = m <KJL

Hence proved.

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The two fractions expressed using lowest common denominator (LCD) is written as  [tex]\frac{4}{24} \ and \ \frac{9}{24}[/tex]

The given fractions;

1/6 and 3/8

LCD is the lowest common denominator. To express the given fraction using LCD, we will consider the common multiples of the denominators.

The common multiples of 8 and 6 include the following;

With the first common multiple, we will rewrite the two fractions to have the same denominator as shown below;

[tex]\frac{1}{6} = \frac{4}{6\times 4} = \frac{4}{24} \\\\\frac{3}{8} = \frac{3\times 3}{8\times 3} = \frac{9}{24}[/tex]

Thus, the two fractions with the same denominator is written as [tex]\frac{4}{24} \ and \ \frac{9}{24}[/tex]

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The domain of the compound function (f/g)(x) is all real numbers except x = 5, where the function g(x) would cause a division by zero.

To find the domain of the compound function (f/g)(x), we need to consider the domains of both f(x) and g(x), as well as where g(x) is not equal to zero, since we cannot divide by zero.

The function f(x) = x^2 - 25 is a quadratic function and its domain is all real numbers because a quadratic function is defined for every real number.

The function g(x) = x - 5 is a linear function, and its domain is also all real numbers. However, for the quotient (f/g)(x), we must exclude the value where g(x) = 0. Solving g(x) = 0 gives us the value x = 5.

Therefore, the domain of (f/g)(x) is all real numbers except x = 5, since at x = 5, the denominator g(x) would be zero, making the division undefined.

Lin is 12000 ft far above sea level.

The process of subtracting one number from another is known as subtraction.

Given that, the initial height of Lin is 22000 ft.

Now, the height of Lin is dropped by 10000, therefore, the new height is:

22000 - 10000

= 12000

Hence, Lin is 12000 ft far above sea level.

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Final answer:

To find the measures of two angles forming a linear pair, where one angle is 26° greater than the other, set up an equation with the sum equal to 180°. Solving the equation reveals that the angles measure 77° and 103°.

Explanation:

When two angles form a linear pair, they are adjacent (share a common side) and supplementary, meaning their measures add up to 180°. If one angle is 26° greater than the other, we can set up the following equations to represent the relationship between the two angles:

Then x + 26° is the measure of the larger angle.

Since they form a linear pair, x + (x + 26°) = 180°.

Combining like terms gives us 2x + 26° = 180°. To find the value of x, subtract 26° from both sides, yielding 2x = 154°. Divide by 2 to get x = 77°. Therefore, the smaller angle measures 77°, and the larger angle measures 77° + 26° = 103°.

Summarily, the measures of the two angles forming a linear pair are 77° and 103° respectively.