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Crank
4 years ago
5

Remove the largest common factor

Mathematics
1 answer:
zhenek [66]4 years ago
3 0
I think you mean the greatest common factor to factor
this is useful because say you want to divide 100 by 1000 then the common factor is 100 so factor that out and get 1/10

so just find the factors or the whole numbers that multiply to get those numbers exg
factors of 18=2*3*3
note:2*3 means 2 times 3
so just find the factors and group the common ones exg
896 and 322
factor
896=2*2*2*2*2*2*2*7
644=2*2*7*23
we see that 2*2*7 is common to both so the greatest common factor is 2*2*7=28
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Find the standard deviation of the following data. Answers are rounded to the nearest tenth. 5, 5, 6, 12, 13, 26, 37, 49, 51, 56
kogti [31]

Answer:

24.2(to the nearest tenth)

Step-by-step explanation:

The question is ungrouped data type

standard deviation =√ [∑ (x-μ)² / n]

mean (μ)=∑x/n

           = \frac{5+5+6+12+13+26+37+49+51+56+56+84}{12}

          =33.3

x-μ   for data 5, 5, 6, 12, 13, 26, 37, 49, 51, 56, 56, 84 will be

                   -28.3, -28.3, -27.3, -21.3, -7.3, 3.7, 15.7,17.7, 22.7,22.7,50.7

(x-μ)² will be 800.89, 800.89,745.29,453.69,53.29,13.69,246.49,313.29,515.29,515.29,2570.49

∑ (x-μ)² will be = 7028.59

standard deviation = √(7028.59 / 12)

                      =24.2

     

6 0
4 years ago
what is the length of the side of a right triangle that has a hypotenuse that is 15 mm and a side of 9 mm
ratelena [41]
C) 27 mm
Hope this helps
4 0
3 years ago
PLEASE HELP ILL BRAINLIEST YOU ILL GIVE U 50 extra points
Goryan [66]
Don't trust those link my guy
7 0
3 years ago
The base and sides of a container is made of wood panels. The container does not have a lid. The base and sides are rectangular.
vfiekz [6]

Answer:

Minimum surface area =70.77 cm^2

Step-by-step explanation:

We are given that

Width of container=x cm

Length of container=2x cm

Volume of container=54 cm^3

We have to find the minimum surface areas that this container will have.

Volume of container=l\times b\times h

x\times 2x\times h=54

2x^2h=54

h=\frac{54}{2x^2}=\frac{27}{x^2}

Surface area of container=2(b+l)h+lb

Because the container does not have lid

Surface area of container=S=2(2x+x)\times \frac{27}{x^2}+2x\times x

S=\frac{162}{x}+2x^2

Differentiate w.r.t x

\frac{dS}{dx}=-\frac{162}{x^2}+4x

\frac{dx^n}{dx}=nx^{n-1}

Substitute \frac{dS}{dx}=0

-\frac{162}{x^2}+4x=0

4x=\frac{162}{x^2}

x^3=\frac{162}{4}=40.5

x^3=40.5

x=(40.5)^{\frac{1}{3}}

x=3.4

Again differentiate w.r.t x

\frac{d^2S}{dx^2}=\frac{324}{x^3}+4

Substitute x=3.4

\frac{d^2S}{dx^2}=\frac{324}{(3.4)^3}+4=12.24>0

Hence, function is minimum at x=3.4

Substitute x=3.4

Then, we get

Minimum surface area =\frac{162}{(3.4)}+2(3.4)^2=70.77 cm^2

8 0
3 years ago
What is the area of the figure at the right?
Anvisha [2.4K]

Answer: 88 in2

Step-by-step explanation:

16 * 4 = 64

8 * 3 = 24 / 2 = 12

12 + 12 + 64 = 88

4 0
3 years ago
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