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Kobotan [32]
3 years ago
11

What is the mode of the data set below? {15, 16, 20, 12, 18, 20, 17}

Mathematics
2 answers:
son4ous [18]3 years ago
5 0

Answer:

20

Step-by-step explanation:

Mode is the number that appears the most often

20 is in the data set twice unlike the other number that only appear once.

zhuklara [117]3 years ago
3 0
Mode is 20 because of google
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What is the result when 4x3 + 19x2 + 29x + 14 is divided by 4x + 7?
Sergio039 [100]

Step-by-step explanation:

4x³ + 19x² + 29x + 14

= (4x³ + 7x²) + (12x² + 21x) + (8x + 14)

= x²(4x + 7) + 3x(4x + 7) + 2(4x + 7).

= (x² + 3x + 2)(4x + 7).

Hence 4x³ + 19x² + 29x + 14 divided by 4x + 7 is x² + 3x + 2 or (x + 1)(x + 2).

3 0
2 years ago
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Given that f(x) = x + 3<br> a) Find f(2)
Nataly_w [17]

{ \qquad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

In the above question, it is given that :

\qquad \sf  \boxed{ \sf f(x) =  \frac{x + 3}{2} }

A.) Find f(2) :

\qquad \sf  \dashrightarrow \: f(2) =  \dfrac{2 + 3}{2}

\qquad \sf  \dashrightarrow \: f(2) =  \dfrac{5}{2}

or

\qquad \sf  \dashrightarrow \: f(2) = 0.5

B.) Find { \sf {f}^{-1}(x) } :

\qquad \sf  \dashrightarrow \: let \: y = f (x)

so, we can write it as :

\qquad \sf  \dashrightarrow \: y =  \dfrac{x + 3}{2}

\qquad \sf  \dashrightarrow \: 2y = x + 3

\qquad \sf  \dashrightarrow \: x = 2y - 3

Now, put x = { \sf {f}^{-1}(x) }, and y = x and we will get our required inverse function ~

\qquad \sf  \dashrightarrow \: f {}^{ - 1}(x) = 2x- 3

C.) Find { \sf {f}^{-1}(12) } :

\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 2(12)- 3

\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 36- 3

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7 0
9 months ago
An open box is constructed from a square 10-inch piece of cardboard by cutting squares of length x inches out of each corner and
Colt1911 [192]

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Dimension of cardboard = 10 by 10

Let the length of box = 10-2x

Let the width of box = 10 - 2x

Let the height of box be =x

Volume = l×w×h

V = (10-2x)×(10-2x)×x

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V= 8x^3 -80x^2 +200x

8 0
3 years ago
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Pepsi [2]
Divide both of them by 8
the answer would be: 7/10
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3 0
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wlad13 [49]

Answer:

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Step-by-step explanation:

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7 0
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