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goldfiish [28.3K]
3 years ago
7

Question 18 Calculate the mean 12, 2, 9, 12, 10

Mathematics
2 answers:
kramer3 years ago
6 0

Answer: 9

Step-by-step explanation:

first u have to add up all the numbers "12 + 2 + 9 + 12 + 10" and that's 45 then u have to divide by how many numbers there are, so there's 5 numbers. ur dividing "45/5" which is 9 so the mean is 9

mark as brainly plss

Schach [20]3 years ago
3 0

Answer:

Mean = 9

Step-by-step explanation:

The mean is the average of a data set.  Given the values, 2, 9, 10, 12, 12:

Add all the numbers in the data set, and divide its sum by the number of items in the set:

Mean = \frac{2+9+10+12+12}{5} =  \frac{45}{5} = 9

Therefore, the mean of the given data set is 9.

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The graph of f(x) = –3(x – 1)2 + 4 is shown on the left. Which interval defines the domain of the function? (-∞, 4) (-∞, 4] (-∞,
noname [10]

Answer:

C

Step-by-step explanation:

The graph can take any value of X

-3[ x^2 - 2x + 1] + 4

-3x^2 +6x -3 + 4

-3x^2 + 6x + 1

x can take any value of real numbers and there would be a solution

Hence all real numbers is the domain.

6 0
3 years ago
A rectangle and a square have the same area. The length of the rectangle is seventy feet more than two times its width. The leng
Zanzabum

Using the side of the square find the area:

Area = 30^2 = 900 square feet.

The rectangles area is the same, 900 square feet.

Let the width = X

The length would be 2X + 70

Area = length x width

X * 2x+ 70 = 900

This expands to 2x^2 * 70x = 900

Use the quadratic formula to solve for x:

-70 +/- sqrt(70^2-4*2(-900))/2*2

X = 10

Width = x = 10 feet

Length = 2x + 70 = 90 feet

8 0
2 years ago
The function C(L) = |L – 105| can be used to determine the difference between the expected and actual crop of lemons, L, from a
REY [17]

Answer:

w(C(L))= 0.25 |L - 105|

Step-by-step explanation:

you plug in C(L) into  L in w(L)

7 0
3 years ago
A piece of cardboard is 15 inches by 30 inches. A square is to be cut from each corner and the sides folded up to make an open-t
solmaris [256]

Answer:

Maximum volume = 649.519 cubic inches

Step-by-step explanation:

A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).

Volume is given by  

V = V = Length\times Width\times Height\\V = (30 - 2x)(15-2x)x= 4x^3-90x^2+450x\\So,\\V(x) = 4x^3-90x^2+450x

First, we differentiate V(x) with respect to x, to get,

\frac{d(V(x))}{dx} = \frac{d(4x^3-12x^2+9x)}{dx} = 12x^2 - 180x +450

Equating the first derivative to zero, we get,

\frac{d(V(x))}{dx} = 0\\\\12x^2 - 180x +450 = 0

Solving, with the help of quadratic formula, we get,

x = \displaystyle\frac{5(3+\sqrt{3})}{2}, \frac{5(3-\sqrt{3})}{2},

Again differentiation V(x), with respect to x, we get,

\frac{d^2(V(x))}{dx^2} = 24x - 180

At x =

\displaystyle\frac{5(3-\sqrt{3})}{2},

\frac{d^2(V(x))}{dx^2} < 0

Thus, by double derivative test, the maxima occurs at

x = \displaystyle\frac{5(3-\sqrt{3})}{2} for V(x).

Thus, largest volume the box can have occurs when x = \displaystyle\frac{5(3-\sqrt{3})}{2}}.

Maximum volume =

V(\displaystyle\frac{5(3-\sqrt{3})}{2}) = (30 - 2x)(15-2x)x = 649.5191\text{ cubic inches}

8 0
3 years ago
Malik’s solution to the equation 2/5x-4y=60 is shown below
frozen [14]

Answer:a

Step-by-step explanation:

5 0
3 years ago
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