2. If there are 95 pencils and 45 erasers in the box, what is the simplified ratio of erasers to pencils? LED
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Answer:

\(x = 20\)

Step-by-step explanation:

Given

The attached triangle

Required

Find x

The value of x will be found using the following equivalent ratios:

\(11 : 121 = 10 : 5x + 10\)

Convert to fraction

\(\frac{11}{121} = \frac{10}{5x + 10}\)

Factorize:

\(\frac{11}{121} = \frac{5*2}{5(x + 2)}\)

Simplify

\(\frac{1}{11} = \frac{2}{x + 2}\)

Cross Multiply

\(1 * (x + 2) = 2 * 11\)

\(x + 2 = 22\)

Collect Like Terms

\(x = 22-2\)

\(x = 20\)

what you mean but heres the points on the map u were talking about

Answer: The slope m = 3/5

Step-by-step explanation:

The slope can be found by using the formula: m = y2 - y1 / x2-x1

Where m is the slope and (x1, y1) and (x2, y2) are the two points on the line.

x1 = 2  , y1 = 1

x2 = -3 , y2 = -2

Substituting the values from the points in the problem gives :

m = -2-1 / -3-2

m = 3/5

Hence, the slope that passes through (2, 1) and (-3, -2) is 3/5.

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complete question:

What is the meaning of the term statistical inference?

What is the meaning of the term statistical inference?A/An ---Select--- assumption conclusion observation about the value of a ---Select--- population parameter sample statistic population statistic sample parameter based on information from the corresponding ---Select--- population statistic sample statistic population parameter sample parameter and the associated ---Select--- probability distributions assumptions observations inferences .

Answer:

1. conclusion

2. population parameter

3. sample statistic

4. probability distribution

Step-by-step explanation:

I have filled in the correct answers into the question as we have below. they are in bold letters

Statistical inference is a conclusion about the value of a population parameter based on information from the corresponding sample statistic and the associated probability distribution.

Statistical inference can be defined as the act of using data analysis to get the properties of an underlying probability distribution.

Answer:

$325

Step-by-step explanation:

Find the regular price by dividing 247 by 0.76:

247/0.76:

= 325

So, the regular price was $325

Step-by-step explanation:

i sure will help

i will try my best to be on time and online

Given :

Heather spend 2/7 of her money buying presents.

She then had €48.65 left.

To Find :

The initial amount of money she had.

Solution :

Let, initial amount she had is €x.

So,

\(x - \dfrac{2x}{7} = 48.65\\\\\dfrac{5x}{7} = 48.65 \\\\x = \dfrac{48.65\times 7}{5}\)

x = €68.11

Therefore, initially he had €68.11 .

Answer:

b

Step-by-step explanation:

The 3 sets of data with the same median but different mean are given as follows:

The mean of a data-set is calculated as the sum of all values in the data-set divided by the number of values in the data-set.

The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% of the data-set is more than.

Hence, for a data-set of five elements, which is an odd cardinality, the median is the third element of the ordered data-set.

Then the three data-sets can be constructed with five elements, in which the third element is the same but the sum of the five elements is different.

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The relationship between investments and productivity is that investments can help improve productivity, which is the correct option (C).

Investments can be used to acquire new equipment, hire additional workers, or implement new technologies that can enhance a company's productivity.

In general, corporations' major source of revenue is productivity, which is the economic outcome of the company's specific operations, such as the sale of a certain product, the rental of a certain item, the supply of a certain service, and so on.

By investing in these areas, companies can improve their efficiency, reduce costs, and increase output.

Therefore, the relationship between investments and productivity is that investments can help improve productivity.

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Using the given zero . The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

If 1 + i is a zero of the polynomial function P(x), then its conjugate, 1 - i, must also be a zero of the polynomial, since complex zeros of polynomial functions with real coefficients always come in conjugate pairs.

To find the remaining zero, we can use polynomial division or synthetic division to divide P(x) by (x - 1 - i)(x - 1 + i), which is the quadratic factor corresponding to the two known zeros:

      2x^2 - 3x + 2

P(x) = --------------

       (x - 1 - i)(x - 1 + i)

Now we need to solve for the roots of the quadratic factor 2x^2 - 3x + 2. We can use the quadratic formula:

x = [3 ± sqrt(9 - 4*2*2)] / (2*2)

 = [3 ± sqrt(1)] / 4

 = 1/2 or 2

Therefore, the remaining zeros of P(x) are 1/2 and 2. The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

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f(x)=2x

f(-3)=2(-3)

f(-3)=-6

Answer:

A. -6

Step-by-step explanation:

Just plug in -3 to where x is.

Answer:

This is a rectangle

Step-by-step explanation:

2D shape with 4 right angles would be a rectangle because 2 sides are equal and the other 2 would be equal to give you 4 right angles

Answer:

Let us set up a ratio to find the relationship between side lengths of the two triangles.

25:10

5:2

We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.

So, if XZ is 6, let's place it into the ratio and find what "x" is.

5(3) : 2(3)

15 : 6

x = 15

For every 1 orange in the fruit bowl there are three bananas.

According to the question,

We have the following information:

In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.

Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:

4 oranges = 12 bananas

Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.

So, we have the following expression:

1 orange = 12/4 bananas

1 orange = 3 bananas

Hence, for every 1 orange in the fruit bowl there are three bananas.

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2x³ + 2x² - 3 is the cubic trinomial that is expressed as the sum of 3x³ - 7x² +2 and -x³ +9x² - 5.

Given: To express the sum 3x³ - 7x² +2 and -x³ +9x² - 5 of as a trinomial.

What are algebraic equations?

Algebraic equations are a sequence or combination of characters containing variables, alphabets, numbers, symbols, etc. which are equated to some value.

What are polynomials?

Polynomials are algebraic expressions that consist of variables, coefficients, and operators. A polynomial is usually depicted as the sum of m terms for some unknown variable x, raised to the power of n with some constants.

For example: Let us consider p(x) to be a polynomial of degree n. The p(x) can be represented as

p(x) = Cₙ xⁿ + Cₙ₋₁xⁿ⁻¹ . . . . . . . + m terms . . . . . + K (where K is some constant and C's are coefficients of x)

What are trinomials?

Trinomials are algebraic expressions that consist of three non-zero terms or monomials.

For example: f(x) = x + y + z is a linear trinomial of 3 variables x, y, and z.

f(x) = x² + 4x + 1 is a quadratic trinomial of 1 variable x and so on.

Let's solve the problem:

Consider f(x) = 3x³ - 7x² +2 and g(x) = -x³ +9x² - 5

We have to express it as a sum of trinomials.

We can see both f(x) and g(x) are Cubic trinomials of one variable x and the lower degrees of x are the same.

So f(x) + g(x) will also given a cubic trinomial of one variable x

f(x) + g(x) = (3x³ - 7x² +2) + (-x³ +9x² - 5)

Grouping similar terms

f(x) + g(x) = (3x³ - x³) + (-7x² + 9x²) + (2 - 5)

f(x) + g(x) = 2x³ + 2x² - 3

Therefore, the required trinomial is 2x³ + 2x² - 3.

Hence 2x³ + 2x² - 3 is the cubic trinomial that is expressed as the sum of 3x³ - 7x² +2 and -x³ +9x² - 5.

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Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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The condition that is it preferable to use stratified random sampling rather than simple random sampling is C. The population can be divided into a large number of strata so that each stratum contains only a few individuals

Stratified sampling is a method of sampling from a population that can be divided into subpopulations in statistics. When sampling subpopulations within an overall population in statistical surveys, it may be advantageous to sample each subpopulation independently.

Stratified random sampling is a sampling method that divides a population into smaller subgroups known as strata. Strata are formed in stratified random sampling, or stratification, based on members' shared attributes or characteristics, such as income or educational attainment.

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Answer:

C.

Step-by-step explanation:

Length * width * height = volume

15*9*9 = 1215

If the temperature dropped at a constant rate, it would have dropped 4°C per hour. This can be calculated by taking the difference in temperature (24°C) and dividing it by the number of hours that passed (4 hours).

Equivalent ratios are ratios of equal values

The equivalent ratios are 8.5 pages in 1 hour and 17 pages in 2 hours

The rate is given as:

Rate = 34 pages in 8 hours

Express as ratio

Rate = 34 pages : 8 hours

Divide by 2

Rate = 17 pages : 2 hours

Divide by 2

Rate = 8.5 pages : 1 hour

Hence, the equivalent ratios are 8.5 pages in 1 hour and 17 pages in 2 hours

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Answer:  8       34

               1        4.25

               12      51

\(\qquad \qquad \stackrel{indirect~\hfill }{\textit{inverse proportional variation}} \\\\ \textit{\underline{y} varies inversely with \underline{x} and \underline{z}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{xz}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\\\\\)

\(y = \cfrac{k}{xz}\qquad \textit{we also know} \begin{cases} x=3\\ y=24\\ z=15 \end{cases}\implies 24=\cfrac{k}{(3)(15)} \\\\\\ 24(3)(15)=k\implies 1080=k~\hspace{10em}\boxed{y=\cfrac{1080}{xz}}\)

Answer:

16 - 4 = 7 + 6

Step-by-step explanation:

16 - 4 = 12

7 + 6 = 13

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.

This line tells John that the point must lie in Quadrant 1 if r is positive or Quadrant 2 if r is negative. Therefore, the point will lie Quadrant 3 or 4 the angle of rotation.

Step 1; John will start plotting the point by first of all seeing the sign of the radius and the value of the given angle.

Step 2; John will make a circle of the given radius, and plot the point at an angle given as a coordinate on the circle.

If r is positive, then the point will lie in Quadrant 1 or 2. However, If r is negative, then the point will lie in Quadrant 3 or 4.

In case r is positive, the point will lie in the same quadrant as the angle of rotation.

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Answer:

the correct answer is 2 no real solurions hope this helps

Step-by-step explanation:

4k - 6 < 3k + (k - 1)

4k < 3k + 6(k - 1)

4k < 3k + 6k - 6

4k < 9k - 6

4k - 9k < -6

-5k < -6

k < -6

-5

k < 6

5

Answer:

{x∈R | \(\frac{2x}{3\pi } +\frac{1}{2}\), x∉Z}

Step-by-step explanation:

Given the function y=3tan(2/3x)

We know that tangent is a function that's continuous within it's domain but not continuous on all real numbers

Also, the roots of y=3tan(2/3x) is \(3\pi n/2\) where n is an integer

Note that the domain of the function cannot be within \(3\pi n/2\)

Therefore, {x∈R | \(\frac{2x}{3\pi } +\frac{1}{2}\), x∉Z}

Answer:

I think the answer is 5,000 .