Find the mean of the data set: 9. 4, 7, 3, 10, 9

Answer:

x=1

Step-by-step explanation:

1) multiply the numbers

2) combine multiplied terms into a single fraction

3) distribute

4) combine fractions with common denominator

5) combine like terms

6) multiply all terms by the same value to eliminate fraction denominators

7) cancel multiplied terms that are in the denominator

8) multiply the numbers

9) add 35/4 to both sides of the equation

10) simplify

( add the numbers twice)

11) divide both sides of the equation by the same term

12) simplify

(divide the numbers, cancel terms that are in both the numerator and denominator, and last but not least move the variable to the left)

well and behold your answer is x=1

Allowing users to dive deeper into the view of data with Online Analytical Processing (OLAP) is essential for comprehensive data analysis and decision-making.

Online Analytical Processing (OLAP) is a powerful technology that enables users to interactively analyze and explore data from various perspectives. It plays a crucial role in allowing users to dive deeper into the view of data by providing advanced analytical capabilities.

OLAP systems facilitate multidimensional data analysis, which allows users to navigate through different dimensions, hierarchies, and levels of detail. They can drill down, slice, dice, and pivot data to examine it from various angles, uncovering patterns, trends, and correlations that may not be apparent in traditional data representations.

OLAP also supports aggregation functions, allowing users to summarize data and perform calculations across multiple dimensions.

By allowing users to dive deeper into the view of data, OLAP empowers them to make informed decisions. They can perform ad-hoc analysis, conduct what-if scenarios, and interactively explore data to answer specific business questions.

OLAP's interactive nature enables users to iteratively refine their analysis, adjusting parameters, filters, and dimensions in real-time.

In addition, OLAP systems provide interactive visualization capabilities, presenting data through charts, graphs, and dashboards. This visual representation enhances data understanding and facilitates the identification of trends and outliers.

Overall, allowing users to dive deeper into the view of data with OLAP enhances their analytical capabilities, promotes data exploration, and enables them to make data-driven decisions. It is an important part of comprehensive data analysis and facilitates a deeper understanding of complex datasets.

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Answer: D

You get the same answer from doing both!

Answer:

a

Step-by-step explanation:

The total price paid by Mr. Thapa as per the new rating will be equal to Rs 180.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total distance traveled by Mr. Thapa = 5 km = 5000 meters.

The initial price paid for the taxi = Rs 14

Then, the meter was flagged down, then the fare went to rs 7.20 per 200 m.

Let the price paid after 5 km is x.

So, the ratio will be,

200 m = Rs 7.20

5000 m = x

Perform cross-multiplication,

200x = 5000 × 7.20

200x = 36000

x = 36000/200

x = Rs 180

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Solutions to the quadratic equation x² + 5x + 6 = 0 are x = -2 , -3

A quadratic equation is a second-order algebraic equation  in x. The quadratic equation in standard form is ax² + bx + c = 0. where a and b are the coefficients, x is the variable, and c is the constant term. A condition of the quadratic equation is that the coefficients of x² are nonzero terms (a ≠ 0).

Given equation

x² + 5x + 6 = 0

It can be written as

x² + 3x + 2x + 6 = 0

x(x + 3) + 2 (x + 3) = 0

Factoring out common factors

(x + 3)(x + 2) = 0

taking

x + 2 = 0

x = - 2

Now, taking

x + 3 = 0

x = -3

Hence, x = -2 , -3 are the solutions for the given quadratic equation.

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Complete question :

Quadratic relationships: tutorial

As per the discussion in the tutorial, what will be the solutions to the quadratic equation x² + 5x + 6x = 0

Answer:

B

Step-by-step explanation:

Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

Answer:

d

Step-by-step explanation:

CAFDYahi Sahi answer hai bhai

An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.

Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Let s represent the price of a pair of shoes.

Therefore, an algebraic expression which models the given context would be written as follows:

s + 0.02s = 1.05s.

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Step-by-step explanation:

it is a arithematuc sequence because it has a common difference of 5

so the general term is Tn = 1 + (n-1)5

also the 5th term is T(5) = 1 + (5-1)5 = 21

Answer:

1)

\(v = \frac{4}{3} \pi( {1080}^{3} ) \)

\(v = (1.259712 \times {1000}^{3} )\pi\)

2)

\(v = \frac{4}{3} \pi( {1640}^{3} )\)

\(v = (5.881258667 \times {1000}^{3} )\pi\)

3) (answer is #4)

\( \frac{ \frac{4}{3} \pi( {1640}^{3} )}{ \frac{4}{3}\pi( {1080}^{3} ) } = 3.5\)

Answer:

Step-by-step explanation:

To find angle B we use tan

tan ∅ = opposite / adjacent

From the question

AC is the opposite

BC is the side adjacent to angle B

So we have

tan B = AC / BC

tan B = 6/9

tan B = 1/3

B = tan-¹ 1/3

B = 18.43°

B = 18° to the nearest hundredth

Hope this helps you

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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The following are the offered rational exponents in expression form:

• (A) the fourth root's tenth root = \(\sqrt[10]{4}\)

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: The following rational exponents are expressed in the expression form (Math Operator, Number/Variable, Math Operator): (A) the tenth root of four= \(\sqrt[10]{4}\)

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Answer:

N/A

Step-by-step explanation:

No figures below.

Appropriate hypotheses for performing a significance test: Null hypothesis: The mean weight of loaves of bread produced at the bakery is equal to 1 pound. Alternative hypothesis: The mean weight of loaves of bread produced at the bakery is less than 1 pound.

Parameter of interest: The mean weight of loaves of bread produced at the bakery.b. There is some evidence for the alternative hypothesis since the p-value is 0.00806, which is less than the level of significance of 0.01. This means that the results are statistically significant, and it is unlikely to get this result due to chance alone.c. At the α level of 0.01, the conclusion would be to reject the null hypothesis since the p-value is less than the level of significance.

This means that there is sufficient evidence to support the alternative hypothesis, which is that the mean weight of loaves of bread produced at the bakery is less than 1 pound. In summary, data markers are used in charts to represent individual data points. They are often used in combination with other chart elements, such as axes, gridlines, and legends, to help viewers understand the data being presented. The column, bar, area, dot, pie slice, or other symbol in a chart that represents a single data point is a data marker. Data markers provide you with a visual representation of the data in a chart. For example, in a column chart, each column represents a single data point.

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Answer:

0.0495

Step-by-step explanation:

used a calculator

0.0495.

\(495 / 10000 = 0.0495.\)

B)

Answer:

A

Step-by-step explanation:

The machine is pushing the dirt together

The distance of Saturn from the Sun by the orbital period formula is 9.54732 astronomical units

Orbital period is the time period, which is required for a planet or one astronomical body to revolve completely around the other body.

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula

\(P =a^{3/2}\)

The orbital period of Saturn is 29. 5 years. To find the value of distance of Saturn from the Sun, put the values in the above formula as,

\(29.5=a^{3/2}\\a=29.5^{3/2}\\a=9.54732\rm\)

Thus, the distance of Saturn from the Sun by the orbital period formula is 9.54732 astronomical units.

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Answer:

I believe it would be 3 reflection followed by translation.

Step-by-step explanation:

Answer:

S=2t

or

T=1/2 S

Answer:

(-10,3),(9,0)

Step-by-step explanation:

Step-by-step explanation:

9:21 is equivalent to 3:7.

To find the value of f(6), we can use the information given about the function f(x) and its derivative f'(x).The value of f(6) is 44/3.

Given that f'(x) is continuous, we can apply the Fundamental Theorem of Calculus. According to the theorem:

∫[a to b] f '(x) dx = f(b) - f(a)

In this case, we are given that:

∫[1 to 6] 6 f '(x) dx = 16

We can simplify the integral:

6 ∫[1 to 6] f '(x) dx = 16

Since f'(x) is the derivative of f(x), the integral of 6 f '(x) dx is equal to 6 f(x). Therefore, we have:

6 f(6) - 6 f(1) = 16

Substituting the given value f(1) = 12:

6 f(6) - 6(12) = 16

6 f(6) - 72 = 16

Next, we isolate the term with f(6):

6 f(6) = 16 + 72

6 f(6) = 88

Finally, we solve for f(6) by dividing both sides by 6:

f(6) = 88 / 6

f(6) = 44/3

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The dimensions of the field should be 125m by 100m to enclose the maximum area.

To solve this problem, we can use the fact that the area of a rectangle is given by A = lw, where l and w are the length and width of the rectangle, respectively. Since the field is to be subdivided into four congruent plots, we can express the width in terms of the length as w = (1/4)(l).

We can then use the fact that the total length of fencing available is 6000m to set up an equation for the perimeter of the rectangle, which is given by P = 2l + 5w. Substituting w with (1/4)(l), we get P = 2l + 5((1/4)(l)) = (9/2)l.

Solving for l in terms of P, we get l = (2/9)P. Substituting this expression for l into the equation for the area, we get A = (1/4)(l)(w) = (1/4)(l)((1/4)(l)) = (1/16)l^2.

We can now express the area in terms of P as A = (1/16)((2/9)P)^2 = (4/81)(P^2). To find the maximum area, we can take the derivative of A with respect to P and set it equal to zero, which gives dA/dP = (8/81)P = 0. This implies that P = 0 or P = 81/8. Since P cannot be zero, we have P = 81/8.

Substituting this value of P back into the equation for l, we get l = (2/9)(81/8) = 18.75. Finally, substituting l and w = (1/4)(l) into the equation for A, we get A = (1/16)(18.75)(4.6875) = 117.1875. Therefore, the dimensions of the field should be 125m by 100m to enclose the maximum area.

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To calculate how much Alice will pay for the carpet, we need to know the area of the carpet in square feet. Without that information, it is not possible to provide the exact amount Alice will pay.

The cost of the carpet is given as $3.00 per square foot. To determine the total amount Alice will pay, we need to know the area of the carpet. The formula to calculate the total cost is given by multiplying the cost per square foot by the area of the carpet:

Total cost = Cost per square foot × Area of the carpet

Without the area of the carpet being provided, we cannot calculate the exact amount Alice will pay. The cost per square foot only gives us the rate at which the carpet is priced, but it does not provide information about the size of the carpet. Once we have the area in square feet, we can multiply it by the cost per square foot to determine the total cost that Alice will pay for the carpet.

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To determine if a matrix is a linear combination of other matrices, we need to check if it can be written as a weighted sum of those matrices where the weights are scalar values (numbers).

If a matrix can be expressed in this way, it is said to be a linear combination of the other matrices.

For example if we have matrices: A, B & C and we can write matrix D as follows:

Then D is a linear combination of matrices A, B and C. This concept is important in linear algebra as it allows us to express one matrix in terms of others. Making it easier to manipulate & analyze the matrices. A matrix is a linear combination of other matrices if it can be expressed as a weighted sum of those matrices where the weights are scalar values.

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As Brian and his wife earned $550,000 in wages during 2020. The amount he pays in income taxes would be $167,700.

An income tax is a type of tax levied by governments on the earnings of businesses and individuals within their jurisdiction.

The amount of income tax that Brian and his wife paid in 2020 depends on several factors, such as their filing status, deductions, credits, and the tax rates that apply to their income.

Assuming that Brian and his wife filed jointly and did not have any significant deductions or credits, we can use the following tax brackets and rates for the 2020 tax year: 35% on taxable income between $414,701 and $622,050.

. Assuming that they did not have any significant deductions or credits, their taxable income would be $550,000 (their wages) minus the standard deduction for joint filers, which was $24,800 in 2020.

The income taxes will be calculated as:

= (35% * $550,000) - $24,800

= $192,500 - $24,800

= $167,700

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