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3 years ago

7

A certain scale has an uncertainty of 4 g and a bias of 2 g. A single measurement is made on this scale. What are the bias and u

ncertainty in this measurement

1 answer:

Fed [463]3 years ago

6 0

Answer: 0.8

Step-by-step explanation:

given data:

uncertainity = 4g

bias = 2g

solution:

σX =0.2 and σY = 0.4

σcX

= 3σX

= 4(0.2)

= 0.8

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Select all the correct answers. Which vectors are unit vectors?

Ahat [919]

Answer:

Step-by-step explanation:

$(-\frac{1}{3} \sqrt{\frac{7}{2} } )^2+(\frac{1}{3} \sqrt{\frac{13}{2} } )^2\\=\frac{1}{9} (\frac{7}{2} +\frac{13}{2} )\\=\frac{1}{9} (\frac{7+13}{2} )\\=\frac{1}{9} \times10\\=\frac{10}{9} \neq 1$

not a unit vector.

b.

$(\frac{1}{\sqrt{3} } )^2+(-\sqrt{\frac{2}{3} } )^2\\=\frac{1}{3} +\frac{2}{3} \\=\frac{1+2}{3} \\=\frac{3}{3} \\=1$

it is a unit vector.

c.

$(\frac{1}{2} \sqrt{\frac{5}{3} } )^2+(-\frac{1}{2} \sqrt{\frac{7}{3} } )^2\\=\frac{1}{4} (\frac{5}{3} +\frac{7}{3} )\\=\frac{1}{4} (\frac{5+7}{3} )\\=\frac{1}{4} (\frac{12}{3} )\\=\frac{1}{4} (4)\\=1$

it is a unit vector.

d.

$(\frac{3}{\sqrt{7} } )^2+(-\frac{2}{\sqrt{7} } )^2\\=\frac{9}{7} +\frac{4}{7} \\=\frac{9+4}{7} \\=\frac{13}{7} \neq 1$

it is not a unit vector.

6 0

2 years ago

On a two-week job, a repairman works a total of 70 hours. He charges $75 plus $40 per hour. An equation shows this relationship,

KIM [24]

Answer:

y=40x+75

40 is the slope and the y-intercept is 75

6 0

2 years ago

Which relationship between x and y in the equation shows a proportional relationship

balandron [24]

Answer:

The equation y = 3x shows a proportional relationship between x and y

Step-by-step explanation:

<em>The proportional relationship is represented graphically by a line passes through the </em><em>origin point </em>

<em>The equation of the proportional relationship is </em><em>y = m x</em>

Let us solve the question

Substitute x by 0 to find the value of y, if y = 0, then the line represents this equation passes through the origin point, then the equation shows a proportional relationship

∵ y = 3x

∵ x = 0

∴ y = 3(0)

∴ y = 0

→ That means the line that represents the equation passes through

the origin point

∴ The equation y = 3x shows a proportional relationship between x and y

7 0

3 years ago

Respuesta de (-0.5)²

Vladimir79 [104]

Answer:

0.25

Step-by-step explanation:

we have

$(-0.5)^2$

we know that

$-0.5=-\frac{1}{2}$

substitute

$(-\frac{1}{2})^2=(-\frac{1}{2})(-\frac{1}{2})$

Remember that

$(-1)(-1)=1\\(-1)(1)=(-1)$

so

$(-\frac{1}{2})(-\frac{1}{2})=\frac{1}{4}=0.25$

5 0

2 years ago

2x+3y= 14<br>3х - 4 y = 4<br><br>

goldenfox [79]

The solution to given system of equations are (x, y) = (4, 2)

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

2x + 3y = 14 ---------- eqn 1

3x - 4y = 4 --------- eqn 2

We have to solve the given system of equations

We can solve the above system of equations by elimination method

<em><u>Multiply eqn 1 by 3</u></em>

3(2x + 3y = 14)

6x + 9y = 42 --------- eqn 3

<em><u>Multiply eqn 2 by 2</u></em>

2(3x - 4y = 4)

6x - 8y = 8 ----------- eqn 4

<em><u>Subtract eqn 4 from eqn 3</u></em>

6x + 9y = 42

6x - 8y = 8

( - ) --------------

9y + 8y = 42 - 8

17y = 34

<h3>y = 2</h3>

<em><u>Substitute y = 2 in eqn 1</u></em>

2x + 3(2) = 14

2x + 6 = 14

2x = 14 - 6

2x = 8

<h3>x = 4</h3>

Thus the solution to given system of equations are (x, y) = (4, 2)

5 0

2 years ago