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snow_tiger [21]
3 years ago
10

What is the mode of the data set? (Please help)

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0

Answer:

the number that occures the most is the answer

Step-by-step explanation:

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A square region with perimeter 60 inches is made with square inch tiles. Bob removes one tile from the square and rearranges the
icang [17]

Answer:

  60 inches

Step-by-step explanation:

The perimeter will be minimized when the tiles are rearranged to form a rectangle with dimensions as close to each other as possible.

<h3>Rectangle dimensions</h3>

The square has a side length of ...

  P = 4s   ⇒   s = P/4 . . . . . P is perimeter, s is side length

  (60 in)/4 = 15 in . . . . length of the side of the square

The square has an area of ...

  A = s²

  A = (15 in)² = 225 in²

When 1 tile is removed, the resulting area, in square inches, is ...

  A = 225 -1 = 15² -1² = (15 -1)(15 +1) = 14×16

<h3>Perimeter</h3>

The perimeter of a rectangle is given by ...

  P = 2(L+W)

For this rectangle, the perimeter is ...

  P = 2(14 in + 16 in) = 2(30 in) = 60 in

The perimeter of the rectangle is 60 inches.

3 0
2 years ago
1.- What type of parabola is this?
xz_007 [3.2K]

Answer:

<u>Part 1</u>

<u>Sideways or "horizontal" parabola</u> with a horizontal axis of symmetry.

<u>Part 2</u>

The vertex is the turning point:  (-3, 1)

<u>Part 3</u>

Vertex form of a horizontal parabola:

x=a(y-k)^2+h    

where:

  • (h, k) is the vertex
  • a is some constant
    If a > 0 the parabola opens to the right.
    If a < 0 the parabola opens to the left.

Point on the curve:  (-1, 2)

Substituting the vertex and the found point into the formula and solving for a:

\implies -1=a(2-1)^2-3

\implies -1=a-3

\implies a=2

<u>Part 4</u>

Equation for the given parabola in vertex form:

x=2(y-1)^2-3

Equation in standard form:

x=2y^2-4y-1

4 0
2 years ago
THE AREA OF A LAKE ON THE MAP IS 12CM SQUARE CALCULATE THE ACTRUAL AREA OF THE LAKE IN KM
den301095 [7]

Answer:

if 1cm is for 1km there are 12km

Step-by-step explanation:

it can depend on the size of the map but if there is a scale which shows how many km per cm then multiply by 12

6 0
3 years ago
Math , help please :)))
Tomtit [17]

Answer: Length = 110 Width = 75

Step-by-step explanation:

5 0
3 years ago
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One of the mutually exclusive results of an activity conditional probability 2. a combination of one or more outcomes independen
charle [14.2K]
Outcome - <span>one of the mutually exclusive results of an activity
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event - </span><span>a combination of one or more outcomes
independent events - </span>compound events whose outcomes do not affect each other
conditional probability - <span>probability of one event given that another has occurred</span>
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3 years ago
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