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katovenus [111]
3 years ago
5

The length of a pencil is measured with two rulers. Report the length of the pencil from each ruler with the proper number of di

gits.

Mathematics
1 answer:
Roman55 [17]3 years ago
6 0

Answer

Length measured using Ruler A= 1.17 dm

Length measured using Ruler B=1.18 dm

Step by Step Explanation:

I have added the missing photograph which shows the length of pencil being measured with two rulers.

Ruler A has marking separated by 1 dm

Ruler B has marking separated by 0.1 dm

Length measured using Ruler A= 1.17 dm

(As we can see I have added the middle markers, we can see the tip of pencil is somewhere between 1 and 1.25, it is more than 1.125 but lesser than 1.25, it is somewhere around 1.2 and 1.125 dm, approximately equal to one half of 1.25 which is 1.125 with addition of one of the three halves of half of 1.125 which is 1.125+0.045 dm hence 1.17dm)

Length measured using Ruler B=1.18 dm

(we can see the tip of pencil is just before 1.2 dm, it is clear that the value is precisely 1.18 and not 1.19 dm)

<u><em>Tip:Always measure one more decimal than given by the ruler when unsure about the exact value</em></u>

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The bounds for a discrete brownian walk is [-3, 4]. what is the probability that the escape happens at 4?
Akimi4 [234]

Using it's concept, there is a 0.125 = 12.5% probability that the escape happens at 4.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

Considering that the bounds for a discrete brownian walk is [-3, 4], the possible outcomes are:

-3, -2, -1, 0, 1, 2, 3, 4.

A escape at 4 is one outcome, hence the probability is given by:

p = 1/8 = 0.125.

0.125 = 12.5% probability that the escape happens at 4.

More can be learned about probabilities at brainly.com/question/14398287

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Antônia tem um caneca com a capacidade de 2/3Lde água. Que fração dessa caneca ela encherá com 1/2L de água?
ZanzabumX [31]

Answer:

The fraction of cup filled with water is 3/4.

Step-by-step explanation:

Antonia has a mug with a capacity of 2/3L of water. What fraction of that mug will she fill with 1/2L of water?

Capacity =  2/3 L

Amount of water = 1/2 L

Fraction of amount of water to the capacity of mug is

\frac{1}{2}\div \frac{2}{3}\\\\\frac{3}{4}

5 0
3 years ago
A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than
ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

  • A cuboid has 6 faces.
  • A cuboid contains 8 vertices.
  • A cuboid contains 12 edges .
  • The total surface area of a cuboid is

           = 2(length×breadth+breadth×height+length×height) square units

  • The dimension of a cuboid is written as length×breadth×height.
  • The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

=[x\times 2x\times (x+2)]   cubic inches

=[2x^2(x+2)]     cubic inches

=(2x^3+4x^2)     cubic inches

According to the problem,

2x^3+4x^2=192

\Rightarrow 2x^3+4x^2-192=0

\Rightarrow 2(x^3+2x^2-96)=0

\Rightarrow (x^3+2x^2-96)=0

\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0

\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0

\Rightarrow (x-4)(x^2+6x+24)=0

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

 length=(2×4) inches=8 inches

 and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

8 0
3 years ago
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