create a data set. create a data set with five observations for which the median would change by a large amount if the largest observation were deleted.

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

answer is b > 5

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

125 divided by 5 = 25

25 x 3 = 75

The answer of the given question based on the finding the domain of the equation the answer is  the domain of the function f(x) = x/(6x + 25) is all real numbers except x = -25/6. In interval notation, we can write the domain as:    (-∞, -25/6) U (-25/6, ∞)

In mathematics,  function is  rule or mapping that assigns unique output or value to each input or element from given set. A function can be thought of as  machine that takes an input and produces an output, where  output depends on  input and specific rule that defines function.

To find the domain of the function f(x) = x/(6x + 25), we need to identify any values of x that would make the denominator zero or undefined.

So, we need to solve the equation 6x + 25 = 0 for x:

6x + 25 = 0

6x = -25

x = -25/6

Since x = -25/6 would make the denominator zero, we need to exclude this value from the domain of the function.

Therefore, the domain of the function f(x) = x/(6x + 25) is all real numbers except x = -25/6. In interval notation, we can write the domain as:

(-∞, -25/6) U (-25/6, ∞).

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1. The solutions of the equation 6/(x+1)= x/(x-1) are x = 2 and x = 3.

2. The solutions of the equation x+ 4/x= -5 are x = -1 and x = -4.

What are the solutions ?

1. 6/(x+1) = x/(x-1)

To solve this equation, we first need to get rid of the fractions by multiplying both sides of the equation by the least common multiple of the denominators, which is (x+1)(x-1):

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

Expanding the left side, we get:

6x - 6 = x² + x

Moving all the terms to one side, we get:

x² - 5x + 6 = 0

This is a quadratic equation that can be factored as:

(x - 2)(x - 3) = 0

So, the solutions are x = 2 and x = 3. However, we need to check if these solutions are valid, because we cannot divide by zero.

Checking x = 2:

6/(2+1) = 2/(2-1)

2 = 2, which is true

Checking x = 3:

6/(3+1) = 3/(3-1)

3/2 = 3/2, which is true

Therefore, the solutions are x = 2 and x = 3.

2. x + 4/x = -5

To solve this equation, we first need to get rid of the fraction by multiplying both sides of the equation by x:

x² + 4 = -5x

Moving all the terms to one side, we get:

x² + 5x + 4 = 0

This is a quadratic equation that can be factored as:

(x + 1)(x + 4) = 0

So, the solutions are x = -1 and x = -4. However, we need to check if these solutions are valid, because we cannot divide by zero.

Checking x = -1:

-1 + 4/(-1) = -5

-1 - 4 = -5, which is true

Checking x = -4:

-4 + 4/(-4) = -5

-4 - 1 = -5, which is true

Therefore, the solutions are x = -1 and x = -4.

What is common multiple?

A common multiple is a number that is a multiple of two or more given numbers. For example, the common multiples of 2 and 3 are 6, 12, 18, 24, etc. These are all numbers that can be divided by both 2 and 3 without a remainder. A common multiple is "common" to the given numbers because it is a multiple of all of them.

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Complete question is:

1. The solutions of the equation 6/(x+1)= x/(x-1) are x = 2 and x = 3.

2. The solutions of the equation x+ 4/x= -5 are x = -1 and x = -4.

Answer:

Rotational symmetry of 135° about the origin: Yes

Rotational symmetry of 180° about the origin: Yes.

Step-by-step explanation:

Notice that the figure is a regular octagon, then, the figure has a rotational symmetry for multiple of 1/8 of a whole turn. To find the measure of the minimum angle of symmetry, divide 360 by 8:

\( \frac{360}{8} = 45\)

The regular octagon will have rotational symmetry about the origin for any angle which is multiple of 45°.

Divide 135° and 180° by 45° to check if they are multiples of 45°.

\( \frac{135}{45} = 3 \\ \frac{180}{45} = 4\)

Since both fractions are intengers, then both 135° and 180° are multiples of 45°.

Then, the regular octagon has rotational symmetry in both cases.

Therefore, the answer are;

Rotational symmetry of 135° about the origin: Yes

Rotational symmetry of 180° about the origin: Yes.

The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

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Step-by-step explanation:

6(x + 4) = 20

6x + 24 = 20

6x = 20 - 24

6x = -4

x = -4/6

x = -2/3

Answer:

⅔

Step-by-step explanation:

6(x + 4) = 20

(6 . x) + (6 . 4) = 20

6x + 24 = 20

6x = 20 - 24

6x = (-4)

x = (-4)/6

x = - ⅔

Answer:

see attached

Step-by-step explanation:

I can't seem to add an answer - it's telling me that my answer contains a link or inappropriate words, which it does not!

Therefore, I have typed it up, screen shotted it and attached it as attachments.

Answer:

TBH I would go with either B or D.

Step-by-step explanation:

Well first off your going to 24 miles not 96 or 99 and it doesn't say how much they went on Monday or Tuesday

Answer:

b

Step-by-step explanation:

Answer:

125, 105, 120

Step-by-step explanation:

You would first make an equation with what you know:

x + 45 + x + 25 + x + 40 = 350.

Now, you would simplify and add like terms.

3x + 110 = 350

Now, you would subtract 110 from both sides.

3x = 240

Now, you would divide both sides by 3.

x = 80

Now that you know what x is, simply plug it in to the respective equations for all three sides.

x + 45 would become 80 + 45, and add up to 125.

x + 25 would become 80 + 25, and add up to 105.

x + 40 would become 80 + 40, and add up to 120.

To check your work, you would now add the three totals.

125 + 105 + 120 = 350.

Answer:

I don't think so

Step-by-step explanation:

The sum is the numbers added together and 3+1 -5 -8 -2+1=-10 so you did not get 5

No, Cameron will not win the game.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

A card game requires that you have a sum of 5 in order to win.

Now, Let us calculate the sum of the cards.

= 3 + 11 + (-5) + (-8) + (-2) + 1

= 0.

Since, the sum is not equal to 5,

Hence, Cameron will not win the game.

So, Cameron needs to draw more cards and hope that they add up to 5 to win the game.

Thus, Cameron will not win the game.

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Answer:

0

Step-by-step explanation:

2 - c(4) is -2. -2 + a(2) is 0.

Hope it helps!

Answer:

Step-by-step explanation:

The problem specifies that you may use a calculator. The formula, as reference, is:

You can use a regular calculator or an online spreadsheet to solve. In sheets, arrange your data and use the =PERCENTILE( ) function. In the parentheses, write the range of your data and the requested percentile as a decimal. So if I type the data (the ages of the signers for this example) in cells A:4 through A:23, I'd write =percentile(A7:A23,0.25).

So the answers:

25th percentile is 34.

80th percentile is 48.4.

Using the t-distribution, the 95% confidence interval for the mean sugar content for single servings of Alpha-Bits is (10.15, 12.45).

In this problem, we have that:

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

First, we find the number of degrees of freedom, which is one less than the sample size, thus df = 19.

Now, we have to find the critical value for a 95% confidence interval with 19 df, thus, looking at the t-table or using a calculator, t = 2.093.

Then:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 11.3 - 2.093\frac{2.45}{\sqrt{20}} = 10.15\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 11.3 + 2.093\frac{2.45}{\sqrt{20}} = 12.45\)

The interval is (10.15, 12.45).

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The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

Given a function F(x), a translation to the right h units would map F(x) to F(x - h).

The parent function of the square root is:

For h = 6, the translation to the right will map it to:

Choice C. A translation to the right six units

y=1/2x

Hope it helps.

Do comment if you have any query.

Answer:

y=1/2x

Step-by-step explanation:

The length of the arc shown in red is

Step-by-step explanation:

step 1

Find the circumference of the circle The circumference is equal to we have substitute

step 2

Find the length of the arc in red Remember that the length of the circumference subtends a central angle of 360 degrees so by proportion find the length of the arc by a central angle of 110 degrees Simplify

Answer:

2x-3

Step-by-step explanation:

Answer:

Unreduced : (x • 2) – (3)

Reduced: 2x – 3

Answer:

circumference (c) , radius (r)

Step-by-step explanation:

c=2 pi r

c=2*3.14 *39

c= 244.92cm

Answer:

The circumference is about 22.14cm

Step-by-step explanation:

This is because first you take the area and multiply it by pi. Next you take the square root of this number. Now you take this number and multiply it by 2 to get 22.14.

Hope I helped! Have a Great rest of your day! :-)

Answer: The number is =5

Step-by-step explanation:

21  +                  3X                              =         ("Difference means subtract.)                           2X

Twenty-one more than three times a number is equal to the difference between 46 and twice the number

Then write the proper equation:     21+3x= 46-2x.

Next get rid of the smaller "x" so 3x+2x=46-25

solve X

5x=25

x=5

                                                                Thank you

Answer:

m=200

Step-by-step explanation:

percent means 100,so we duvude 300:by 100 then m=200

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

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

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:

(0, -6) , (6, 0)

Step-by-step explanation:

it could be (0, -6) or (6,0)

The required answers are 300,000, 310,000 and 315,000 respectively.

Given:

The given number is 314,609.

To find:

The value of the given number rounded to nearest hundred thousand, nearest ten thousand and to the nearest thousand.

Solution:

We have,

314,609

The digit at ten thousands place is 1<5. If the given number rounded to nearest hundred thousand, we get 300,000.

The digit at thousands place is 4<5. If the given number rounded to nearest ten thousand, we get 310,000.

The digit at hundreds place is 6>5. If the given number rounded to nearest thousand, we get 315,000.

After rounding the given number to nearest hundred thousand, nearest ten thousand and to the nearest thousand, we get 300,000, 310,000 and 315,000 respectively.

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation: