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2 years ago

Find the variance of the given sample 18, 18, 18, 9, 15, 5, 10, 5, 15

Mathematics

1 answer:

Elina [12.6K]2 years ago

7 0

Answer:

29.277777777777777777...

Step-by-step explanation:

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A closed box with a square base is to have a volume of 13 comma 500 cm cubed. The material for the top and bottom of the box cos

andrezito [222]

Answer:

x = 1,5 cm

h = 6 cm

C(min) = 135 $

Step-by-step explanation:

Volume of the box is :

V(b) = 13,5 cm³

Aea of the top is equal to area of the base,

Let call " x " side of the base then as it is square area is A₁ = x²

Sides areas are 4 each one equal to x * h (where h is the high of the box)

And volume of the box is 13,5 cm³ = x²*h

Then h = 13,5/x²

Side area is : A₂ = x* 13,5/x²

A(b) = A₁ + A₂

Total area of the box as functon of x is:

A(x) = 2*x² + 4* 13,5 / x

And finally cost of the box is

C(x) = 10*2*x² + 2.50*4*13.5/x

C(x) = 20*x² + 135/x

Taking derivatives on both sides of the equation:

C´(x) = 40*x - 135*/x²

C´(x) = 0 ⇒ 40*x - 135*/x² = 0 ⇒ 40*x³ = 135

x³ = 3.375

x = 1,5 cm

And h = 13,5/x² ⇒ h = 13,5/ (1,5)²

h = 6 cm

C(min) = 20*x² + 135/x

C(min) = 45 + 90

C(min) = 135 $

8 0

3 years ago

Find four consecutive multiples of<br> 5 with a sum of 210.

olganol [36]

It’s 42 heheeeee I’m Michel Jackson

7 0

3 years ago

Read 2 more answers

What is three-fourths of 1,968

lara31 [8.8K]

All you have to so is divide 1968 by 4.

1968 ÷ 4 = 496.5 = 1/4

Now multiply 496.5 by 3 = 1, 489.5 = 3/4

I hope this helps! :_

7 0

3 years ago

Read 2 more answers

WILL MARK BRAINLIEST AND WILL GIVE POINTS. PLEASE ANSWER AND SHOW YOUR WORK.

Sindrei [870]

one interior angle = 30° <==== this one is given

second interior angle = 180 - 40 = 140° <=== interior angle + exterior angle = 180

third interior angle = 180 - 30 - 140 = 10° <=== angles in a triangle = 180

8 0

3 years ago

Without graphing classify each system as independent dependent or inconsistent -x -y=7<br> 5x-5y=5

jek_recluse [69]

Answer:

Is a consistent independent system

Step-by-step explanation:

we have

$-x-y=7$ -----> isolate the variable y

$y=-x-7$ ----> equation A

$5x-5y=5$ -----> isolate the variable y

$y=x-5$ ---> equation B

Compare equation A and equation B

We can affirm that

The slopes are not equal ( so the lines are not parallel)

The lines are different

The product of their slopes is equal to -1 (the lines are perpendicular)

The system of equations has only one solution

therefore

Is a consistent independent system

5 0

2 years ago