The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?

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For distributions C and D, the median represents the centre most accurately.

Given that the median is a robust statistic—that is, skewed data and outliers have little effect on it—it is the best estimate of centre for skewed or outlier-filled distributions.

Since the mean is not robust, it serves as a useful proxy for the centre in symmetric distributions.

Answer B has a uniform distribution, whereas answer A has a distribution that is nearly symmetric.

Given that the right tail is longer than the left, solution D appears to have a right-skewed distribution, while answer C has a left-skewed distribution.

Thus, for options C and D, the median would be the most appropriate way to measure the centre.

The question probable maybe:

For which distributions is the median the best measure of center? Select each correct answer:

(Given in the attachment)

Andrew is 1 5/8 meters tall.

Andrew's height is 5.75 meters

A variable dependent parameter equation is an equation where we solve a given problem from the statements and the data mentioned in it.

Let the height of Andrew be x meters

Given Paul is 0.25 meters taller than Andrew .

∴ Paul's height = 0.25 + x meters

  Also given that John is 1/8 meters shorter than Paul .

  John's height = 1/8(0.25 + x) meter

  Also given that John's height  is 3/4 meters.

⇒  3/4 = 1/8(0.25 + x)

⇒   6  = (0.25 + x)

∴     x = 5.75

Therefore the height of Andrew is 5.75 meters.

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Answer:

16 m < P < 19 m

Step-by-step explanation:

we know that

The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x----> the length of the third side

Applying the triangle inequality theorem

1) 3+8 > c

11 > c

c < 11 m

2) c+3 > 8

c> 5 m

so

the measure of the third side must be

5 m < c < 8 m

therefore

The perimeter of the triangle is equal to

P=3+8+c

P=11+c

The inequality is equal to

(11+5) m < P < (11+8) m

16 m < P < 19 m

You just have to split the figures in different parts...

- First Picture:

- the total length is 130, so the upper and bottom rectangles have 50ft. as showed, and the middle one is 130-(50x2) = 30

- The second step is get the 2 holes área to subtract from the “total rectangle without holes area” (30x40=1200)x2 and then (20,150-1400=18,750) so, the total area from the rectangle with the holes is 18,750!

The area of the figure is 2×3+(2×2)/2=8 square units.

Answer:

The solutions are (6,13) and (1,3)

Step-by-step explanation:

We want to solve

[tex]y=x^2-5x+7[/tex]

and

[tex]y=2x+1[/tex]

We equate both equations to get:

[tex]x^2-5x+7=2x+1[/tex]

[tex]x^2-5x-2x+7-1=0[/tex]

[tex]x^2-7x+6=0[/tex]

We split the middle term to get:

[tex]x^2-6x-x+6=0[/tex]

[tex]x(x-6)-1(x-6)=0[/tex]

[tex](x-6)(x-1)=0[/tex]

[tex](x-6)=0,(x-1)=0[/tex]

[tex]x=6,x=1[/tex]

When x=6, y=2(6)+1=13

When x=1, y=2(1)+1=3

The solutions are (6,13) and (1,3)

Answer:

q^12

Step-by-step explanation:

To raise a power to a power you multiply the powers together. That would be 6*2=12.

ANSWER

B. A(x)=0.5 (f .g)(x)

EXPLANATION

The area of a triangle is calculated using the formula:

Area=0.5 Base × Height

The base is given by

g(x)=2x

and the height of the function is

[tex]f(x)= {x}^{2} + 3[/tex]

This implies that:

A(x)=0.5f(x) × g(x)

A(x)=0.5 (f .g)(x)

Answer:

[tex]2x^\frac{5}{3} - 4y^\frac{3}{4}[/tex]

Step-by-step explanation:

Given equation:

[tex]\sqrt[3]{8x^5} - \sqrt[4]{256y^3}[/tex]

([tex](8x^5)^\frac{1}{3} - (256y^3)^\frac{1}{4} \\ (8^\frac{1}{3}  . x^\frac{5}{3} ) - (256^\frac{1}{4}. y^\frac{3}{4})\\ 2x^\frac{5}{3} - 4y^\frac{3}{4}[/tex] !

The initial equations of (3√8x^5) and (4√256y^3) are first changed to exponential form and then simplified to final forms of 6x^2√x and 64y respectively. The final simplified form of the entire equation therefore becomes 6x^2√x - 64y.

The given expression is (3√8x^5) - (4√256y^3). Lets breakdown and simplify each component firstly.

The first expression, 3√8x^5, can be written as 3*(8x^5)^(1/2). The number 8 can be expressed as 2^3 and x^5 as (x^2)^(5/2). So, 3√(8x^5) simplifies to 3*2x^2*√(x) = 6x^2√x.

For the second expression, 4√256y^3, can be written as 4*(256y^3)^(1/2). The number 256 can be expressed as 2^8 and y^3 as (y^2)^(3/2). So, 4√(256y^3) simplifies to 4*16y = 64y.

Now, putting these values back into the original equation, we get: 6x^2√x - 64y

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Answer:

1: Rhombus

2: Square

3: Rectangle

4: Trapezoid (isosceles trapezoid to be exact)

Answer:

1. convex

2. square

3. rectangle

4. trapezoid

Step-by-step explanation:

Answer:

option C is the correct answer

Step-by-step explanation:

System A:                                                  System B:

-x - 2y = 7    ........(1)                               -x - 2y = 7    .......(3)  

5x - 6y = -3  ........(2)                                  -16y= 32  ........(4)

Solution for system A: ( -3, -2)

For option A

Multiply the first equation by 3

3(- x - 2y) = 3(7)         ⇒     - 3x - 6y = 21 ........... (5)

Add equation 2 and 5

  5x - 6y = -3

- 3x - 6y = 21

  2x -12y = 18   ⇒  2( x - 6y ) = 2( 9 )    ⇒   x - 6y = 9

Option A is not equal to equation in system B so now we check option B.

 For option B

Multiply the first equation by -5

-5(- x - 2y) = -5(7)         ⇒    5x + 10y = -35 ........... (6)

Add equation 2 and 6

  5x - 6y = -3

  5x + 10y = -35

  10x + 4y = -38   ⇒   2( 5x + 2y ) = 2(-19)    ⇒  5x + 2y = -19

Option B is not equal to equation in system B so now we check option C.

For option C

Multiply the first equation by 5            

5(- x - 2y) = 5(7)         ⇒   - 5x - 10y = 35 ........... (7)

Add equation 2 and 7

  5x - 6y = -3

- 5x - 10y = 35

    0 - 16y = 32   ⇒   -16y = 32

Option C is equal to equation in system b so now we check if the solution to system B is same as system A.  

Solution to system B:

First, we find value of y from equation 4:

-16y = 32   ⇒    y = [tex]\frac{32}{-16}[/tex]   ⇒    y = -2

Now, we put value of y in equation 3 to find value of x:

-x - 2y = 7  ⇒  -x - 2(-2) = 7   ⇒  -x + 4 = 7   ⇒  -x = 7 - 4  ⇒  -x = 3

multiply both sides by -1

-1 × (-x) = -1 × (3)       ⇒     x = -3

Solution of system B = (-3, -2)

Solution of system B is the same as system A, so option C is correct.

Answer:

5/4, 1.3, 1 8/25

Step-by-step explanation:

5/4=1.25

1 8/25=1.32

---------------

The numbers 1.3, 5/4, 1, and 8/25 can be rearranged from least to greatest as 0.32, 1, 1.25, 1.3 once they're all converted to decimals. Converting fractions and whole numbers to decimals is a crucial skill in Mathematics and can simplify problems like this.

To answer your question, the numbers 1.3,5/4,1 and 8/25 can be put in order from least to greatest by first converting them all to decimals or fractions. Given in their current form 5/4 equals 1.25 as a decimal and 8/25 equals 0.32 as a decimal. Hence we can put them into increasing order as 0.32, 1, 1.25, 1.3.

Understanding how to convert between fractions, decimals, and whole numbers is an essential skill in mathematics, and it can make problems like this easier to understand and solve. For instance, understanding that the fraction 5/4 is equivalent to the decimal 1.25 makes it easier to compare with other numbers.

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Answer:

[tex]y=200(1.05)^{x}[/tex]

Step-by-step explanation:

This is a compound interest problem. The principal is given as 200 and the interest rate as 5%. We can use the compound interest formula to determine the relationship between time and money;

[tex]A=P(1+r)^{n}[/tex]

where;

A is the amount of money

P is the principal invested

r is the rate of interest

n is the time duration

Substituting the information given we have;

[tex]y=200(1+\frac{5}{100})^{x}\\\\y=200(1.05)^{x}[/tex]

which is an exponential function

Find the attached for the graph of this exponential function.

Answer:

8*8*8 if thats what you mean. Same outcome as 8^3

Step-by-step explanation:

Final answer:

To simplify 8³ on a scientific calculator, input 8, press the exponentiation key, enter 3, and press '=' to get the result of 512, or 5.12 x 10² in scientific notation.

Explanation:

To simplify 8² using a scientific calculator, you would typically follow these steps:

Ensure that the calculator is turned on and in the correct computational mode.

Enter the number 8.

Press the exponentiation key, often labeled as '^', 'exp', or represented by a caret symbol.

Enter the number 3 to represent the power to which you are raising 8.

Press the '=' or 'Enter' key to execute the calculation.

The calculator will give you the answer, which is 512. When simplifying further, if we were to represent this number in scientific notation, it would be written as 5.12 times 10², as it has three significant figures.

Answer:

Amplitude is 3

Step-by-step explanation:

in y=-3sin5x

the number in front of sign is always the amplitude. Its not negative 3 because the negative simply means it reflects across the x-axis

ANSWER

The amplitude is 3

EXPLANATION

The amplitude of a periodic function is the distance from the midline of its graph to the peak.

The given function is:

[tex]y = - 3 \sin(5x) [/tex]

This function is of the form:

[tex]y = a \: \sin(bx) [/tex]

The of this function is

[tex] |a| [/tex]

By comparing the two functions, we have a=-3.

Therefore the amplitude of the given function is

[tex] | - 3| = 3[/tex]

The formula to find slope is:

[tex]\frac{y_{2}-y_{1}  }{x_{2}-x_{1} }[/tex]

[tex]y_{2} = 0\\y_{1} =3\\x_{2} = 4 \\x_{1} = 0[/tex]

so...

[tex]\frac{0-3}{4-0}[/tex]

[tex]\frac{-3}{4}[/tex] <<<the slope

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

-3/4

Step-by-step explanation:

The slope is given by

m = (y2-y1)/(x2-x1)

   = (0-3)/(4-0)

   = -3/4

Mean is the average so just add up all the numbers in your data set and divide by the total for numbers that there are.

Ex. (5, 7, 8, 9)

5+7+8+9=29

29/4=7.25

7.25 is the Mean.

Median is the number that is directly in the middle so just count inwards from each side after you ordered your data set. If you get two numbers just add them both and divide by two.

Answer:

-6.

Step-by-step explanation:

y = x - 6

y = 6x - 19

To eliminate x the first equation should be multiplied by -6 giving:

-6y = -6x + 36

Adding this to the second equation will eliminate x.

Answer:

The longest bread stick is approximately 16 in

Explanation:

The diagram representing the tray is shown in the attached image

From the diagram, we can note that the diagonal of the tray represents the hypotenuse of a right-angled triangle having legs 9.5 in and 13 in

Therefore, to get the length of the hypotenuse, we can use the Pythagorean equation which is as follows:

c² = a² + b²

where c is the length of the hypotenuse and a and b are the length of the two legs

Substitute with the givens in the above equation to get the length of the hypotenuse as follows:

c² = (9.5)² + (13)² = 259.25

c = 16.1 in which is approximately 16 in

From the above, we can conclude that:

The longest bread stick that can be fit straight along the diagonal of the tray is approximately 16 in

Hope this helps :)

Answer:

The three integers are 81,82 and 83

Step-by-step explanation:

Let

x,x+1 and x+2 ----> the three consecutive integers

we know that

[tex]x+(x+1)+(x+2)=246[/tex]

Solve for x

[tex]3x+3=246[/tex]

[tex]3x=246-3[/tex]

[tex]x=243/3[/tex]

[tex]x=81[/tex]

therefore

[tex]x=81[/tex]

[tex]x+1=81+1=82[/tex]

[tex]x+2=81+2=83[/tex]

The answer is 3/28

-1/4 x -3/7

-1 x -3 = 3

4 x 7 = 28

3/28

Answer: 3/28

Step-by-step explanation:

Answer:

Option 1: 0.32

Step-by-step explanation:

Let

P(A) be the experimental probability of getting two

And

P(B) be the experimental probability of getting three

The dice is rolled 360 times.

So the sample space is n(S) = 360

P(A) = n(A)/n(S)

= 54/360

= 0.15

And

P(B) = n(B)/n(S)

= 62/360

= 0.172

As both the events A and B are mutually exclusive,

P(A or B)  = P(A) + P(B)

= 0.15 + 0.172

=0.322

Rounding of to one decimal gives us:

0.32

So the probability of rolling a two or three is 0.32 ..

Answer:

No teen sent texts fewer than 1630 or more than 1854 texts in a month

Step-by-step explanation:

margin of error gives the difference that may come in the sample results from the actual population results.

Given:

Average teen sends 1742±112 texts per month

here ±112 is margin of error, calculating maximum difference:

1742+112=1854

1743-112=1630

No teen sent texts fewer than 1630 or more than 1854 texts in a month !

Hello There!

Number 2

3.50x=40

Then, divide both of the numbers by 3.50.

You end up with X=11.42 is greater or equal to 12 movies

Number 3

5h+3

5 ‘5’ + 3 = 30

Number 4,5,6 are attached in images below.

Answer:

[tex]x= 11.47[/tex]

Step-by-step explanation:

By definition the cosine of an angle is the quotient between the side adjacent to the angle and the hypotenuse.

In other words:

[tex]cos (\alpha) = \frac{adjacent}{hypotenuse}[/tex]

In this triangle the length of the side adjacent to the 55 degree angle is x, and the length of the hypotenuse is 20

So:

[tex]cos(55\°) = \frac{x}{20}[/tex]

Now we solve the equation to find the value of x

[tex]x = 20cos(55\°)[/tex]

Finally

[tex]x= 11.47[/tex]

Answer:

11.47

Step-by-step explanation:

Given

Two angles of 90 and 55 degrees

and a side of length 20

Finding third angle= 180-(90+55)

                              = 35

Finding x:

Using Law of Sines to find length of side x

x/sinX=y/SinY

x/sin35=20/sin90

x=20sin35

x=11.47 !

Answer:

B) y = 5x

Step-by-step explanation:

We need to find the slope

m = (y2-y1) /(x2-x1)

We have 2 points (0,0) and (6,30)

m = (30-0)/(6-0)

  = 30/6

  =5

The slope is5

y = mx+b

The y intercept is 0

y = 5x+0

y = 5x

Answer:

B:)

Step-by-step explanation:

Answer:

• mathematical: y ≤ 52

• reasonable: 0 ≤ y ≤ 52

Step-by-step explanation:

The reasonable range is the set of heights between the maximum height and the ground (y=0).

___

The maximum height is about 44.51 meters, so values between that and 52 meters are not in the reasonable range. A maximum height of 52 meters requires an initial velocity of about 15.4 m/s.

Answer:

Step-by-step explanation:

C

[tex] \frac{9}{8} [/tex]

Step-by-step explanation:

you would want to get rid of the -1/2 so you have to add one half to the other side of the equation and since 1/2 equals 4/8 the equation would be

4/8 plus 5/8 which equals 9/8

ANSWER

|SU|=3ft

EXPLANATION

Triangle TSU is an isosceles right triangle.

Because one of the angles in the right triangle is 45°.

This means that the third angle is also 45°.

This implies that that |ST|=|SU|

The reason is that isosceles triangle has the base angles equal and the arms on these angles are equal.