Find the median and mean of the data set below:

Answer:

height: 125m; distance: 500m

Step-by-step explanation:

x = 250

f(x) = x − 0.002x2

f(x) = 250 − 0.002(250 )2

= 250 − 0.002(62,500)

= 250 − 125

= 125

250 times 2 = 500

[tex]\\ \rm\rightarrowtail y=x-0.002x^2[/tex]

So

[tex]\\ \rm\rightarrowtail y=250-0.002(250)^2[/tex]

[tex]\\ \rm\rightarrowtail y=250-0.002(62500)[/tex]

[tex]\\ \rm\rightarrowtail y=250-125[/tex]

[tex]\\ \rm\rightarrowtail y=125m[/tex]

Distance:-

Answer:

  b.  √3

Step-by-step explanation:

Given a point on the unit circle that represents the position of the terminal ray of an angle, the tangent of that angle is the ratio of the y-coordinate to the x-coordinate.

  tan(4π/3) = y/x = (-√3/2)/(-1/2) = √3/1

  tan(4π/3) = √3

_____

Additional comment

A calculator can confirm this for you.

Answer:

The base of this triangle is 2 units wide

Step-by-step explanation:

Your explanation is in the picture shown below!!!

Answer:

the interest would be $5,400 after 15 years

Answer:

994

Step-by-step explanation:

(8+2) = 10

10^3 = 1000

1000 - 6 = 994

Answer:

994

Step-by-step explanation:

(8+2)³-6

10³-6

1000-6

994

Hope that helps!

Answer:

See below ↓

Step-by-step explanation:

Given side lengths :

This question can be solved in two ways :

Case 1

Case 2

Hope it helps~

Answer:

398

Step-by-step explanation:

3582 / 9 = 398

Answer: 40 degrees

Step-by-step explanation:

We are given a cylinder and a cone of same volume i.e

[tex] \longrightarrow[/tex] Volume of cone = Volume of cylinder

And also the diameter of the cylinder is given 4 inches

[tex] \longrightarrow[/tex] Radius = [tex]\sf \dfrac{Diameter}{2}[/tex]

[tex] \longrightarrow[/tex] Radius = [tex] \sf\dfrac{4}{2}[/tex]

[tex] \longrightarrow[/tex] Radius = 2 inches

The height of cylinder is 3 inches. And the diameter of the cone is 6 inches

[tex] \longrightarrow[/tex] Radius = [tex]\sf\dfrac{Diameter}{2} [/tex]

[tex] \longrightarrow[/tex] Radius = [tex] \sf\dfrac{6}{2}[/tex]

[tex] \longrightarrow[/tex] Radius = 3 inches

First, let us recall the Formulas of volume of cylinder and cone:

[tex] \quad\longrightarrow\quad \sf {Cone = \dfrac{1}{3}\pi r^2 h }[/tex]

[tex] \quad\longrightarrow\quad \sf {Cylinder = \pi r^2 h }[/tex]

Now, we know that the volume of cone is equal to the volume of cylinder

[tex] \implies\quad \sf{\dfrac{1}{3}\pi r^2 h = \pi r^2 h }[/tex]

On putting the values:

[tex] :\implies\quad \sf{\dfrac{1}{3}\pi \times 3^2 \times h = \pi \times 2^2 \times 3 }[/tex]

[tex] :\implies\quad \sf{\dfrac{1}{\cancel{3}}\times 3.14 \times\cancel{ 9 }\times h = 3.14 \times 4 \times 3 }[/tex]

[tex] :\implies\quad \sf{3.14 \times 3 \times h = 3.14 \times 12 }[/tex]

[tex]: \implies\quad \sf{ h = \dfrac{ \cancel{3.14} \times 12 }{ \cancel{3.14} \times 3} }[/tex]

[tex] :\implies\quad \sf{ h =\cancel{ \dfrac{12}{3}}}[/tex]

[tex] :\implies\quad \underline{\underline{\pmb{\sf{h = 4 inches }}} }[/tex]

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence the height of the cone is 4 inches.

Answer:

f(4) = 13

Step-by-step explanation:

f(4) = 2(4)+5
f(4) = 13

Answer:

13

Step-by-step explanation:

f ( x ) = 2x + 5

To find : f ( 4 )

f ( 4 ) = f ( x )

Here,

x = 4

So,

f ( 4 ) = 2 ( 4 ) + 5

        = 2*4 + 5

        = 8 + 5

f ( 4 ) = 13

Answer:

4.5^5

Step-by-step explanation:

Answer:

(4.5)^5

Step-by-step explanation:

Answer:

800m

Step-by-step explanation:

If 100cm is equivalent to a meter (1 Meter). 8 Meters would be equivalent to 8 Meters multiplied by 100cm and divided by a meter (1 Meter)

Answer:

Step-by-step explanation:

Start by drawing five rectangles. Divide each of the five into four parts. You should have 20 sections.  1 1/4 is equal to 5/4, or five 1/4 pieces. Shade or erase five of the 20 sections. There should be 15 left. 15/4 is 3.75, or 3 3/4, which is less than four.

Hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

x^2+9x+14

Step-by-step explanation:

x×(x+7)+2×(x+7)

x^2+7x+2x +14

x^2+9x+14

Answer:

15

Step-by-step explanation:

Okay, so we know that Base*Length=Area, so we just have to divide the area by the base, so the formula here is Area/Base=Length.

That would get us 120/8=Length,

and if we just divide 120 by 8 we get 15, so the length is 15

The inequalities x≤2 or x<5 are unequal expressions

The common points of both inequalities are {.......0,1,2}

Inequalities are expressions that have unequal values

Number lines are lines that are used to represent numbers and expressions at regular intervals

The inequalities are given as;

x≤2 or x<5

This means that:

x is less than or equal to 2

And

x is less than 5

So, we have:

x≤2 = {.......0,1,2}

x<5 = {.......0,1,2,3,4}

The common points of both inequalities are:

x≤2 or x<5 = {.......0,1,2}

See attachment for the number line

Read more about number lines at:

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Quadrilateral ABCD was rotated 180 degrees about the origin to form A'B'C'D. The two figures are congruent to each other.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Quadrilateral ABCD was rotated 180 degrees about the origin to form A'B'C'D. The two figures are congruent to each other.

Find out more on transformation at: https://brainly.com/question/4057530

Answer:

20 - 2n

n = a number

Answer:

41,246.046 which could be rounded to .05 cents at the end.

Step-by-step explanation:

[tex]20700(1.09)^8[/tex]

we use this equation since we are working with interest, and we are compounding interest twice per year, for 4 years or 8 times.

hope this helps, please rate and mark as brainelst.

Answer:Its -3.5

Step-by-step explanation:

Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2

---Center = (h, k)

---Radius = r (this value will need to be squared in the final answer)

Center = (-3, -6)

---h = -3

---k = -6

Radius = 4

Equation: (x + 3)^2 + (y + 6)^2 = 16

Correct Answer: A

Hope this helps!

A check register is also known as a cash disbursements journal, is a document that holds the record of all of the check and cash transactions that one's business has for an accounting period.

The kind of transactions that are recorded in a Check Register or a Cash Disbursement Journal are:

Do note that the register referenced in the questions is unavailable hence the general answer.

Learn more about Check Register at:
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Answer:

1. (a. 8 b. 3 d. 6,6,12 e. 3,3,9) 2. (a. 2,3 b. 4,5 c. 6,6,2,3 d. 5,3,5) 3. (a.2/3 b.1/3 c.2/3 f.1/2 g.7/8 h.4/5)

Step-by-step explanation:

OK this is quite simple. Just multiply the top and bottom, otherwise known as the numerators and denominators, by whatever is next to it. In this case, 1a is [tex]\frac{2*4}{5*4}[/tex].

That would result in [tex]\frac{8}{20}[/tex]

Hey there!

In order to multiply fractions, we should multiply the numerator of the 1st fraction by the numerator of the 2nd fraction.

Same with denominators.

Let's multiply these fractions.

2/5=2*4/5*4=8/20

2/3=2*6/3*6=12/18

1/4=1*3/4*3=3/12

3/4=3*3/4*3=9/12

now divide:

10/15=10:5/15:5=2/3

12/18=12:6/18:6=2/3

12/15=12:3/15:3=4/5

15/25=15:5/25:5=3/5

Now, simplify the following fractions:

4/6

divide the top & bottom by 2:

2/3

next:

5/10

divide the top & bottom by 5:

1/2

next

5/15

divide the top & bottom by 5:

1/3

next:

12/18

divide the top & bottom. by 6

2/3

next

5/10

divide the top & bottom by 5

1/2

next

14/16

divide the top & bottom by 2

7/8

and then last but not least

28/35

divide the top & bottom by 7

4/5

And we're done!

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

66(2/3) %

Step-by-step explanation:

There are 30 possible outcomes because there are 30 cold drinks.

 The Probability of orange flavored  20/30   = 2/3 = 0.6666....

66.6666....%= 66(2/3) %

To find the range, interquartile range, and median of the box plot, see the image attached below to use as a guide.

A box plot consists of a rectangular box, a vertical line that divides the box, and two whiskers extending from the box.

The box plots being referred to in the question are missing, however, the diagram attached shows how to determine the values you will need in solving the question.

The median is represented by the vertical line that divides the rectangular box.

The range = max value - min value.

The interquartile range = the range of the rectangular box = Q3 - Q1.

In summary, to find the range, interquartile range, and median of the box plot, see the image attached below to use as a guide.

Learn more about box plot on:

https://brainly.com/question/14277132

Answer:

Miami

Step-by-step explanation:

First, you can either convert Miami's temperature to farenheit, or convert Chicago's temperature to celcius.

I will convert Miami's temp, to farenheit:

[tex]F=\frac{9}{5}C\°+32 < ==divide\\\\F=1.8C\°+32 < == substitute\ 35\° for\ C\\\\F=1.8(35)+32 < ==multiply\\\\F=63+32 < ==add\\\\F=95\°[/tex]

Miami: 95°F

Chicago: 75°F

Therefore, Miami is the warmer town.

Hope this helps!

The trigonometry identity sin(x + y) = sinx cosy + cosx siny.

sin(x + y) is one of the identities in trigonometry for compound angles.

The angle (x + y) represents the compound angles.

sin(x + y) = sinx cosy + cosx siny

To prove sin(x + y) = sinx cosy + cosx siny

Consider OX as a rotating line anti-clockwise. Let angle XOY = a

the making of an acute angle b the rotation in the same direction is

angleYOZ = b , angle XOZ = a + b

From triangle PTR,

∠TPR = 90 - ∠PRT , ∠ROX = a

From the right-angled triangle PQO

sin(a + b) = PQ/OP

= (PT + TQ) / OP

= PT/OP + TQ/OP

= PT/PR × PR/OP + RS/OR × OR/OP

= cos (∠TPR ) sinb + sina cosb

= sina cosb + cosa sinb

if we replace a=x and b=y

Therefore, sin(x + y) = sinx cosy + cosx siny.

Learn more about trigonometry identity;

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