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ipn [44]
3 years ago
8

What the mean and the median of this data set: 9,6,5,3,28,6,4,7

Mathematics
1 answer:
fgiga [73]3 years ago
7 0
The median is 6, and the mean is 8.5
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I need help please Right now if you could!!
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Step 2:       2.8z - 3.4z - 7.2 + 6.6

Step 3:       -0.6z - 0.6

-7 (-15w + 21) + 3(18 - 27w)

step 1: 105w - 147 + 54 - 81w

5 0
3 years ago
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by
a_sh-v [17]

Answer:

Dimension of the box is 16.1\times 7.1\times 2.45

The volume of the box is 280.05 in³.

Step-by-step explanation:          

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the box?

Solution :

Let h be the height of the box which is the side length of a corner square.

According to question,

A sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

The length of the box is L=21-2h

The width of the box is W=12-2h

The volume of the box is V=L\times W\times H

V=(21-2h)\times (12-2h)\times h

V=(21-2h)\times (12h-2h^2)

V=252h-42h^2-24h^2+4h^3

V=4h^3-66h^2+252h

To maximize the volume we find derivative of volume and put it to zero.

V'=12h^2-132h+252

0=12h^2-132h+252

Solving by quadratic formula,

h=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

h=\frac{-(-132)\pm\sqrt{132^2-4(12)(252)}}{2(12)}

h=\frac{132\pm72.99}{24}

h=2.45,8.54

Now, substitute the value of h in the volume,

V=4h^3-66h^2+252h

When, h=2.45

V=4(2.45)^3-66(2.45)^2+252(2.45)

V\approx 280.05

When, h=8.54

V=4(8.54)^3-66(8.54)^2+252(8.54)

V\approx -170.06

Rejecting the negative volume as it is not possible.

Therefore, The volume of the box is 280.05 in³.

The dimension of the box is

The height of the box is h=2.45

The length of the box is L=21-2(2.45)=16.1

The width of the box is W=12-2(2.45)=7.1

So, Dimension of the box is 16.1\times 7.1\times 2.45

6 0
3 years ago
Can someone explain ?
Vika [28.1K]

Answer:

see below

Step-by-step explanation:

sqrt(90)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(9*10)

sqrt(9) sqrt(10)

3*sqrt(10)

8 0
3 years ago
Help? pls? (10 points) (image down below to make it easier to understand.)
dusya [7]
This is middle school??? AinT no way
7 0
2 years ago
Read 2 more answers
A bag contains the following marbles: 5
Inessa [10]

Answer:

5:20

Step-by-step explanation:

There are 5 black marbles and 20 brown marbles.

You would put black marbles (5) first, because it came before brown (20) in the list.

5 0
3 years ago
Read 2 more answers
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