Translate X < 6 into a written statement.

The IQR would remain unaffected.

The Standard deviation  is a measure of how much the individual values in a data set differ from the mean. The formula to calculate the standard deviation is:

SD = √(∑(x-mean)2/n)

Where, x = an individual value in the data set, n = total number of values in the data set and mean = average of the data set.

In the given data set, with the electric car being removed, the total number of values in the data set would reduce from 67 to 66. Therefore, the standard deviation would be calculated using the formula with 66 in place of n.

The interquartile range (IQR) is the difference between the third quartile and the first quartile. The formula to calculate the IQR is:

IQR = (Q3-Q1)

Where, Q3 = third quartile and Q1 = first quartile.

In the given data set, with the electric car being removed, the values of both the quartiles would remain unaffected as the extreme outlier is removed from the data set and the quartiles are calculated using the values from the middle 50% of the data set. Therefore, the IQR would remain unaffected.

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For a function to be continuous at a specific point, the limit from both sides at that point should exist and be equal to the value of the function at that point. In this case, the function is continuous at x = 0 if c = 0.

To determine the value of c that makes the function f(x) continuous, we need to analyze the given function and find the condition for continuity. The first part provides an overview of the process, while the second part breaks down the steps to find the value of c based on the given information.

The function f(x) is defined as follows:

For x ≠ 0, f(x) = x^3 + 3x

For x = 0, f(x) = 2

For f(x) to be continuous at x = c, the left-hand limit as x approaches c and the right-hand limit as x approaches c should be equal to the value of f(c).

Let's consider x = 0 as the potential value of c.

For x ≠ 0, f(x) = x^3 + 3x. As x approaches 0 from either the left or right side, the expression x^3 + 3x approaches 0.

At x = 0, f(x) = 2.

To ensure continuity, the left-hand limit and the right-hand limit at x = 0 should also approach 2.

Since both the limits approach 0 and the value of f(x) at x = 0 is 2, we can conclude that the function f(x) is continuous at x = 0 if c = 0.

Therefore, the value of c that makes f(x) a continuous function is c = 0.

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Answer:

2x³- 2px² + p + 2

First plug in x = -3

2(-3)³- 2p(-3)² + p + 2

According to PEMDAS, we should solve the exponents first.

(-3)³ = -27

(-3)² = 9

2(-27) - 2(9)p + p + 2

Now multiply.

-54 - 18p + p + 2

Now combine the variables and constants.

-17p - 52

This is the simplified expression.

If it is an equation, then it would equal 0.

-17p - 52 = 0

To solve for p, add 52 to both sides.

-17p = 52

Now isolate the p by dividing by -17.

p = -52/17 or -3.0589

While a data set consisting only of anomalous objects is possible, it would be an abuse of the terminology since it would not reflect the expected or normal behavior of the system.

It's possible for a dataset to consist only of anomalous objects if the dataset has been specifically curated to include dissimilar documents, as you've described. In this context, the term "anomalous" refers to documents that are not highly related, connected, or similar to one another.

However, it's important to note that this might be an unusual case or an atypical use of the term "anomalous," as anomalies generally refer to rare or unexpected occurrences within a larger, more homogeneous dataset.

In your described scenario, the selected documents might be more accurately referred to as "diverse" or "dissimilar" rather than strictly "anomalous."

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The house was in the shape of an octagon, with eight separate bedrooms on each side.

The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.

The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.

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Answer:

\(a^{2} + 2ab +b^{2}\)

Answer:

\( \frac{1}{w {}^{6} } \)

Step-by-step explanation:

\( {w}^{3} \times w {}^{ - 9} \)

equal

\(w {}^{ - 6} \)

Using the product of power rule,

\( {x}^{a } \times x {}^{e} = x {}^{a + e} \)

Then apply negative power rule

\(a {}^{ - x} = \frac{1}{a {}^{x} } \)

So it now becomes

\( \frac{1}{w {}^{6} } \)

The ∆ABC is an isosceles triangle and have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.

An isosceles triangle have the measure of its base angles to be equal, and the sum of the interior angles sum up to 180°.

Given that sides AB ≅ BC, then the triangle ∆ABC has two sides with similar length and base angles so;

angles m∠A and m∠C are the base angles are both equal to 51°

m∠B = 180° - (51 + 51)° {sum of interior angles of a triangle}

m∠B = 180° - 102°

m∠B = 78°

Therefore, the isosceles triangle ∆ABC have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.

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The amount of feet of border that she needs to purchase is given as follows:

20 feet.

The perimeter of a square of side length s is given by the multiplication of four and the side length s, as follows:

P = 4s.

All the sides measure 5 feet, hence the parameter s is given as follows:

s = 5.

Then the perimeter of the square plot is given as follows:

P = 4 x 5

P = 20 feet.

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Step-by-step explanation:

3^x eventually gets larger......it has exponential growth....the other is only linear growth

Answer:

Is there answer choices

Step-by-step explanation:

NVM guess this is the answer  

m of <MTS is 107 degrees and m of <STN=73 degrees

Answer:

m of <MTS is 107 degrees and m of <STN=73 degrees

Step-by-step explanation:

You do 180-73 to find the other angle beside 73 and since they're parallel its the same angles but opposite essentially. Sorry this isn't the best explanation.

A. No, because the alternatives are not quantifiable.

B. No, because the alternatives are quantifiable.

C. Yes, because the alternatives are quantifiable.

D. Yes, because the alternatives are not quantifiable.

In decision-making, the quantifiability of alternatives refers to the ability to assign numerical values or measures to different options. Option A states that the alternatives are not quantifiable, suggesting that they cannot be measured or compared using numerical values. On the other hand, option B asserts that the alternatives are quantifiable, indicating that they can be measured and compared using quantifiable criteria.

To determine the correct answer for each scenario, we need to consider the nature of the decision and whether the alternatives involved can be assigned numerical values or measures. For example, when deciding on the paint color for the factory floor or extending cafeteria business hours, the alternatives may involve both quantifiable costs and benefits, making option B the appropriate choice.

However, in scenarios such as hiring a new engineer or changing the work shift, the qualities, qualifications, or effects involved may not be easily quantifiable, leading us to choose options D and C, respectively.

Ultimately, the correct answer depends on the specific context and the extent to which the alternatives can be measured or compared using quantifiable criteria.

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Answer:

  an = 1/n^2

Step-by-step explanation:

We notice that the denominators are the squares of successive integers. The general term will be ...

  \(\boxed{a_n=\dfrac{1}{n^2}}\)

The present value of the income stream is $250,000 and the future value after 5 years is $28,011.59.

To find the present value and future value of an income stream of $5000 a year for a period of 5 years, with a continuous interest rate of 2 percent, we can use the following formulas:

Present Value (PV) = A / r

Future Value (FV) = A * (e^(rt) - 1)

where A is the annual income stream, r is the continuous interest rate, t is the time period in years, and e is the mathematical constant approximately equal to 2.71828.

Using these formulas, we can calculate the present value the income stream as follows:

Present Value (PV) = A / r

PV = 5000 / 0.02 = $250,000

The present value formula calculates the current worth of a future income stream by discounting it back to its present value using a given interest rate.

In this case, we divide the annual income stream of $5000 by the continuous interest rate of 2 percent to get the present value of $250,000.

Using these formulas, we can calculate the future value the income stream as follows:

Future Value (FV) = A * (e^(rt) - 1)

FV = 5000 * (e^(0.02*5) - 1) = $28,011.59

The future value formula calculates what an investment will be worth at a future date based on a given interest rate. In this case, we use the formula to calculate what the income stream will be worth after 5 years at a continuous interest rate of 2 percent.

We multiply the annual income stream by the exponential function e raised to the power of (interest rate x time period), subtract one from this result and then multiply by annual income to get future value.

Therefore, the present value of the income stream is $250,000 and the future value after 5 years is $28,011.59.

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Answer:

You can write in

Step-by-step explanation:

Lakhs

First write 100,203.

Put ones,tens,hundreds,thousands,ten thousands and lakh on top of each number from the extreme left.

This is how you can write 100,203 in another way. You can't write in any other way than this one.

Hope this helps....

Have a nice day!!!!

The expression is f(x) = $0.95x+$9.50

From the question, we have

A cell phone company charges $9.50 per month to rent a cell phone and $0.95 per minute.

f(x) = $0.95x+$9.50

Addition:

The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.

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Answer: $310,000

Step-by-step explanation:

In 40 additional years, the amount she made less than her college counterparts was;

= 10,000 * 40

= $400,000

She however made $90,000 more than them as they went to college;

= 400,000 - 90,000

= $310,000

The long-term financial cost was $310,000.

Answer:

length is equal to the square root of the sum of the x coordinates squared and the difference of y

The required expression is y = 28d which models the number of pounds of bamboo (i.e.y) a panda needs in terms of days d.

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

It can take an average of 28 pounds of bamboo to satisfy a panda's daily dietary needs.

Let the number of pounds of bamboo would be y

According to the given condition,

The expression models the number of pounds of bamboo a panda needs in terms of days d :

y = 28d

Therefore, the required expression is y = 28d.

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Answer: √7 is irrational because the square root of 7 isn't a perfect root.

Step-by-step explanation:

Answer:

c(2) = -10

Step-by-step explanation:

The first equation says that the first term of the sequence is -20.

The second equation is saying that to find any term of the sequence, add 10 to the previous term.

c(2) = c(2-1) + 10

c(2) = c(1) + 10

c(2) = -20  + 10 = -10

The statements that relate each function are given as follows:

1. At 3 seconds, the toy rocket is higher than the drone: f(3) > g(3).

2. At the start, the toy rocket is 25ft above the drone: f(0) - g(0) = 25.

The four inequality symbols, along with their meaning, are presented as follows:

The functions for this problem are given as follows:

At 3 seconds, we have that the toy rocket is higher than the drone, that is, f(3) is greater than g(3), hence the inequality is given as follows:

f(3) > g(3).

At the start, the heights are given as follows:

The difference is of 25 ft, hence the expression is given as follows:

f(0) - g(0) = 25.

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Answer:

(-16 , -4)

Step-by-step explanation:

you use rise over run

the rise is your y

the run is the x

\(\frac{y2-y1}{x2-x1}\)⇒\(\frac{-3-1}{-24-(-8)}\) =

\(\frac{-4}{-16}\) or (-16, -4)

Answer:

A 26 feet below

Step-by-step explanation:

3,000 - 988 + 748 - 885 + 1,099 = 2,974

Answer:

9.33

Step-by-step explanation:

hope that helps!

Answer:

I can't answer a so here

b=yes

Step-by-step explanation:

Answer: 5.75

Step-by-step explanation:

Ignore the half an hour that is intentional it throws you off divide 15.75 by 3 not 3.5 that’ll get you the wrong answer

Answer:

8( 3x+2y) ( 9x^2 -6xy +4y^2)

Step-by-step explanation:

216x^3 + 64y^3

Factor out the greatest common factor of 8

8( 27x^3 +8y^3)

Rewriting

8 ( (3x)^3 + (2y)^2))

Recognizing this as the difference of cubes)

a^3 + b^3 = (a+b) (a^2-ab+b^2)

8 ( (3x)^3 + (2y)^2)) = 8( 3x+2y) ( 9x^2 -(3x)(2y) +4y^2)

                                 =8( 3x+2y) ( 9x^2 -6xy +4y^2)