What is the difference between the median and the range in the data set shown below?


A. 5
B. 4.75
C. 1
D. 0.25

9514 1404 393

Answer:

  16.4

Step-by-step explanation:

The law of cosines is useful here. It tells you ...

  b^2 = a^2 + c^2 -2ac·cos(B)

  b^2 = 22^2 +10^2 -2·22·10·cos(44°)

  b^2 ≈ 267.49

  b ≈ √267.49 ≈ 16.35514

  b ≈ 16.4

Answer:

The answer is

[tex]y = \frac{1}{4} x + 3[/tex]

Step-by-step explanation:

Plug in and solve the equation. We are trying to find the y-intercept:

[tex]y= \frac{1}{4}x + b \\ 2 = \frac{1}{4} ( - 4) + b \\ 2 = - 1 + b \\ \frac{ + 1 = + 1 \: \: \: \: \: \: \: \: }{3 = b} [/tex]

We found the y-intercept, so now we plug it in it's right full spot in the formula.

[tex]y = \frac{1}{4} x + 3[/tex]

Answer:

Step-by-step explanation:

x^3=27

x=sqrt27=3

x=3

Answer:

A) x=3

Step-by-step explanation:

you can type it in the calculator like this: [tex]\sqrt[3]{27} =3[/tex]

Answer:

7

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

The reason is likely because of an unit error of centimetres square (cm²) which is to be in metres square (m²)

Step-by-step explanation:

The units of the length is in meters, and the side length, S, of the cube is S = 0.7 m, therefore, the answer is to be given as follows;

The surface area of one face of the cube = S² = (0.7 m)² = 0.49 m²

The number of faces in a cube = 6, therefore, we have;

The surface area of the cube = 6 × The surface area of one face of the cube

The surface area of the cube = 6 × 0.49 m² = 2.94 m²

Therefore, the surface area of the cube is 2.94 m² (m² not cm²)

Answer: No -1 is not an irrational number.

Step-by-step explanation: The number 1 can be classified as a natural number, a whole number, a perfect square, a perfect cube, an integer. This is only possible because it is a rational number, not irrational.

Answer:

6.5 or 6 1/2 miles per minute

Step-by-step explanation:

basically divide the amount of minutes by how many miles Jessica ran hence the minutes per mile.

Answer:

Step-by-step explanation: You divide the fractions. Start by making them a fraction instead of a mixed number then cross multiply keep the first flip the second and theres your answer :)

Answer:

Find the explanation below.

Step-by-step explanation:

Statements simply state the theorem that is to be proofed. Formal proof in logical sequence connects the hypotheses to the conclusion reached.

Statements and reasons are important because they help to breakdown a theorem, showing in steps and stages how a conclusion was reached. They provide facts that convince the observer that the theorem is indeed true.    

Answer:

x = 3.5

Step-by-step explanation:

Given

[tex]3^{2x-5}[/tex] = 9 , that is

[tex]3^{2x-5}[/tex] = 3²

Since the bases on both sides are equal, both 3 , then equate the exponents

2x - 5 = 2 ( add 5 to both sides )

2x = 7 ( divide both sides by 2 )

x = 3.5

Answer:

In this lesson, we'll be learning two new ways to represent arithmetic sequences: recursive formulas and explicit formulas. Formulas give us instructions on how to find any term of a sequence.

Step-by-step explanation:

Answer:

113.097

Step-by-step explanation:

so Basically to find the area of this cylinder have to set up to equation ((2)6pi)3

first you multiply 2 x 6 getting you 12 then multiply it by pi which in mathematical terms is 37.7 multiplied by 3, getting you 113.097

which can be simplified to 113

The surface area of the cylinder with height 3 cm and radius 6 cm is 340 cm².

The surface area of a figure is the number of unit squares it takes to cover the entire surface without gaps or overlaps. If a three-dimensional figure has flat sides, the sides are called faces.

Given that, the cylinder with height 3 cm and radius 6 cm, we need to find its surface area,

SA of a cylinder = 2 π × radius × (height + radius)

= 2 × 3.14 × 6 × (3+6)

= 2 × 3.14 × 6 × 9

= 339.12

≈ 340

Hence, the surface area of the cylinder with height 3 cm and radius 6 cm is 340 cm².

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Answer:

D. 1/2m + 25

Step-by-step explanation:

Sophie pays m dollars to rent a car for the weekend.

On the drive home, she buys $25 worth of gasoline.

From the above question, we are told that:

Her friend Melody pays for one-half the cost of the car rental only.

= m - 1/2m

= 1/2m

Hence, the cost of the rental that sophie is paying for is 1/2m dollars

She buys $25 of gasoline

Let the amount sophie spent be represented by A

The expression you could use to determine how much Sophie spent is given as:

A = 1/2m + 25

Answer:

1/2 + 25

Step-by-step explanation:

Don't feel like explaining. :)

Answer:

resolviendo para xey

Step-by-step explanation:

Espero que esto ayude amiga/o

Answer:

2.164, 2.379, 2.386, 2.538

Step-by-step explanation:

2.164<2.379<2.386<2.538

Answer:

2.164, 2.379, 2.386, 2.538 (least to greatest)

Step-by-step explanation:

The first number is the same so, all that you have to compare is what is after the decimal.

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/night/afternoon!!!

Answer:

yes (answer in the comments) U^U

Step-by-step explanation:

Answer:

2x+3x+35 =180

5x+25=180

5x =180-25

5x =155

x= 155/5

x= 31

Answer:

The answer is 15.

Step-by-step explanation:

Plug in the numbers for the a and b values individually.  For the numerator, 5(6) is the same thing as 5 * 6 = 30.  For the denominator, 1/4^2 would equal to 1/16 and when you multiply it by 32, you will get 2.

To clear things up, the fraction should be 30/2 and your answer should be 15 as a result.

Step-by-step explanation:

so...the answer is 15

...........

Answer:

t

Step-by-step explanation:

Answer:

x = 1-2

Step-by-step explanation:

27 = - 3x - 9

36 = -3x

-12 = x

x = -12

Step-by-step explanation:

27+9=-3x

36=-3x

36 divided by -3=x

-12=x

9514 1404 393

Answer:

  (-2, 2)

Step-by-step explanation:

The orthocenter is the intersection of the altitudes. The altitude lines are not difficult to find here. Each is a line through the vertex that is perpendicular to the opposite side.

Side XZ is horizontal, so the altitude to that side is the vertical line through Y. The x-coordinate of Y is -2, so that altitude has equation ...

  x = -2

__

Side YZ has a rise/run of -1/1 = -1, so the altitude to that side will be the line through X with a slope of -1/(-1) = 1. In point-slope form, the equation is ...

  y -(-1) +(1)(x -(-5))

  y = x +4 . . . . . . . . subtract 1 and simplify

The orthocenter is the point that satisfies both these equations. Using the first equation to substitute for x in the second, we have ...

  y = (-2) +4 = 2

The orthocenter is (x, y) = (-2, 2).

Answer:

It was the withdrawal of the Union troops from the South.

Step-by-step explanation:

The South could go back to blatant mistreatment and practically slavery without the oversight of the Northern troops- so all of the progress that was made was for nothing. That was when Reconstruction ended.

Step-by-step explanation:

We know that perimeter is the sum of all sides

= 2x³ + 6x + 4x³ - 5x + 6x³ + x

= 12x³ + 2x

= 2x ( 6x² + 1)

Hope it will help :)❤

Answer:

The shop with the best value is Tisco with .46 per can.

Step-by-step explanation:

So you need to divide 1.84 by 4 which you get .46.  Next you do 2.40 divided by 5 and you get .48.  Finally you can tell that .48 is greater than .46.

Hope this helps!

This one is very simple.

The triangle on the left has two equal sides, so the angle on the opposite side of that same triangle is also 52º. That angle is on a 180º line, so the angle right next to it has to be 180º - 52º, so 128º. The other two angles of that triangle are unknown, but still equal because of the sides being the same. So, subtract 128º from 180º to get 52º again, but divide it by two. The angle measurement of x = 26º

Answer:

f(5)=27

Step-by-step explanation:

The 5 in the f(5) just means thats what x is equal to, so using that information you can do 2(5)+17=27, so f(5)=27. (Sorry if its short)

Answer:

$3.25

Step-by-step explanation:

An item is regularly priced at $65. Abdul bought it at a discount of 95% off the regular price. Use the ALEKS calculator to find how much Abdul paid.​

Original price of item = $65

percent discount = 95%

discount price = 95% * 65

discount price = 0.95 * 65

discount price= $61.75

Amount abdul paid = Original price - discounted price

Amount abdul paid = $65 - $61.75

Amount abdul paid = $3.25

Hence abdul paid $3.25

Answer:

d

Step-by-step explanation:

because

12xy³z⁶/4x⁵yz¹²=3y²/x⁴z⁶

The division of (12xy³[tex]z^6[/tex])/ (4[tex]x^5[/tex]y[tex]z^{12[/tex]) is 3y²/ [tex]x^4[/tex][tex]z^6[/tex].

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

Given:

(12xy³[tex]z^6[/tex])/ (4[tex]x^5[/tex]y[tex]z^{12[/tex])

Now, expand for the division

12/4= 3

x / [tex]x^5[/tex] = 1/ [tex]x^4[/tex]

y³ /y = y²

[tex]z^6[/tex] / [tex]z^{12[/tex]= 1/[tex]z^6[/tex]

So, the division is

(12xy³[tex]z^6[/tex])/ (4[tex]x^5[/tex]y[tex]z^{12[/tex])

= 3y²/ [tex]x^4[/tex][tex]z^6[/tex]

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Answer:

1.48502 × 10²

Step-by-step explanation:

A number expressed in standard form is

a × [tex]10^{n}[/tex] ( 1 ≤ a < 10 and n is an integer )

Given

148.502 ← express as a number between 1 and 10

1.48502

To obtain the original number we require to multiply by 100 , that is 10²

Thus

148.502 = 1.48502 × 10²

Answer:

[tex]1.48502 \times {10}^{2} [/tex]

Step-by-step explanation:

To convert to standard form, move the decimal point until there is one digit to the left of the decimal point.

Since the decimal point moves to the left, the exponent value goes up. If the decimal point moves to the right, the exponent value gpes down.

In this case, since the decimal point moves to the left twice, then the exponent goes up by 2.

Hope this helps!