Joe measured the diameter of a tennis ball correct to the nearest millimetre. The upper bound of his measurement was 6.75 centimetres. Write down, in imillimetres, the lower bound of his measurement.​

Answers

Answer 1

The lower bound of the measurement is 65.5 millimetres.

A centimetre equals 10 millimetres, a measure is expressed by the measured magnitude plus uncertainty, the latter one represents the grade of precision of the measure instrument. That is to say:

[tex]y = x + \epsilon[/tex] (1)

Where:

[tex]x[/tex] - Measured magnitude, in millimeters.[tex]y[/tex] - Possible magnitude, in millimeters.[tex]\epsilon[/tex] - Uncertainty, in millimeters.

If we know that [tex]y = 67.5\,mm[/tex] and [tex]\epsilon = 1\,mm[/tex], then the lower bound of the measurement is:

[tex]y = 67.5\,mm - 2\cdot (1\,mm)[/tex]

[tex]y = 65.5\,mm[/tex]

The lower bound of the measurement is 65.5 millimeters.

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Related Questions

one of the root of the quadratic equation x²-(4+p)x+12=0 is three time the other find the root of the equation​

Answers

Answer:

it should be p=14,x=16,12

The roots of the equations are 2 and 6.

What is a quadratic equation?

The equation of the form ax² + bx +c is known as a quadratic equation.

Given that, the quadratic equation is x² - (4 + p)x + 12= 0.

Let the roots of the quadratic equation be a and b.

If the coefficient of x² is 1 in a quadratic equation, then the coefficient of x is equal to the sum of the roots and the constant term is equal to the product of the roots.

Therefore,

a + b = -(4 + p)    (1)

ab = 12                (2)

Given that, one root is three times the other, so, let a = 3b and substitute it into equation (2)

3b(b) = 12

3b² = 12

b² = 4

b = 2

Therefore, the value of a is:

a= 3(2)

a = 6

Hence, the roots of the equations are 2 and 6.

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Which division problem is modeled in the image? A) 2 ÷ 6 = 3 B) 2 ÷ 3 = 6 C) 3 ÷ 2 = 6 D) 6 ÷ 3 = 2 the image has 3 circles an 2 stars in each circle

Answers

Answer:

b

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

It is the ordinate of the coordinates of the point in which the graph intersects the y – axis.
D. origin
B. x-intercept
C. y -- intercept
A. Slope​

Answers

Answer:

C. y--intercept

because it is y axis so cant write x--intercept

PLEASE HELP MEEE!!!!!

Answers

Answer:

what

Step-by-step explanation:

why would you even need to know this

Wich of the following powers is the smallest will give you brainleist

Answers

Answer:

C

Step-by-step explanation:

4^3= 64

3^4= 81

5^4= 625

6^3= 216

What is an expression of -3/4

Answers

6/8 I believe so, sorry if it’s wrong:)

What is the slope of the line shown in the graph? Express your answer as an improper fraction or as an integer

Answers

Answer:

y= 3/2x + 1

Step-by-step explanation:

Rise over run to find slope: Rise: 3 Run:2

Y-intercept is at +1

Step-by-step explanation:

slope is the same as gradient,m

m= y2- y1

x2 - x1

(2,4) (0,1)

x2,y2 x1,y1

m= 4 - 1

2 - 0

m= 3

2

0.3 divided by 6 =
Please help me show my work

Answers

Answer:

0.05

Step-by-step explanation: (this is suppose to be long Division and thats a line between 6 and 0).

       0.     0     5

   ----------------------

6  | 0. 3 0

− 0

   ----------    

 0 3  

−   0

--------------------------------

   3 0

 − 3 0

----------------------------------

     0

o differences between constructing an inscribed regular hexagon and constructing an inscribed square.

Answers

Hexagon has 6 sides inscribed square has 3

Answer:

a daddy

Step-by-step explanation:

PLEASE HELPPP YOU HAVE TO CHOOSE ABOUT 3 ANSWERS!!

Answers

Answer:

C, D, G

Step-by-step explanation:

The Jeans dried due to a process called vaporization where water evaporates into the atmosphere into a steam like form, however this answer wasn't available so C, D, G would be your best bet.

Answer:

c , d , g ,

bcaz this three options r for sure correct

5. Mohammed is shopping for gifts. He compared prices at two stores so he could get
the best deals. Which store is cheapest per unit for greeting cards ?
Gift Prices
Gift
handkerchiefs
greeting cards
ballpoint pens
audiocassette tapes
Darren's Warehouse
package of 10 for $11.00
package of 8 for $9.99
one dozen for $9.60
one dozen for $13.20
U-Rule Department Store
package of 3 for $3.75
package of 3 for $5.49
2 for $1.59
5-pack for $5.95
A Darren’s Warehouse
B U-Rule Department Store

Answers

Answer:

Thus, it is cheaper at Darren’s Warehouse.

Step-by-step explanation:

Package of 8 at Darren’s Warehouse for $9.99

Package of 1 at Darren’s Warehouse for $9.99/8=$1.24875

Package of 3 at U-Rule Department Store for $5.49

Package of 1 at U-Rule Department Store for $5.49/3=$1.83

Thus, it is cheaper at Darren’s Warehouse.

134.$

ga tau gw di sini uang ya Rp bukan dolar ya kecuali solar atau dolar kuning

4. 3/16. × 7 12/32.

Answers

Answer:

1 49/128

Step-by-step explanation:

3/16. × 7 12/32

3/16  * 236/32

177/128

1 49/128

whats 4(-2-9.2x)=3(2-7.6x) solve for x

Answers

Answer:

x = -1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

[tex](4)(-2) + (4)(-9.2x)=(3)(2)+(3)(-7.6x)[/tex] [tex]-8 - 36.8x = 6 - 22.8x[/tex] [tex]-36.8x - 8 = -22.8x + 6[/tex]

Step 2: Add 22.8x to both sides.

[tex]-36.8x - 8 + 22.8x = -22.8x + 6 + 22.8x[/tex] [tex]-14x - 8 = 6[/tex]

Step 3: Add 8 to both sides.

[tex]-14x - 8 + 8 = 6 + 8[/tex] [tex]-14x = 14[/tex]

Step 4: Divide both sides by -14.

[tex]\frac{-14x}{-14}=\frac{14}{-14}[/tex] [tex]x = -1[/tex]

Therefore, x = -1.

The solution to the equation 4( -2 - 9.2x ) = 3( 2 - 7.6x ) is x = -1.

What is the solution to the equation?

Given the equation in the question:

4( -2 - 9.2x ) = 3( 2 - 7.6x )

To solve the equation 4(-2 - 9.2x) = 3(2 - 7.6x), distribute the constants and then isolate the variable x:

4( -2 - 9.2x ) = 3( 2 - 7.6x )

4 × -2 + 4 × -9.2x  = 3( 2 - 7.6x )

-8 - 36.8x = 3( 2 - 7.6x )

-8 - 36.8x = 3 × 2 + 3 × -7.6x

-8 - 36.8x = 6 - 22.8x

Collect like terms:

-8 = 6 - 22.8x + 36.8x

-8 - 6 = - 22.8x + 36.8x

Add like terms:

-14 = 14x

14x = -14

Divide both sides by 14:

x = -14/14

x = -1

Therefore, the value of x is -1.

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In a fishing derby, jimmy caught six more fish than his sister kelly. How many fish did each person catch if they caught a total of 20 fish?

Answers

That’s the answer
Hope I can help you

Hi am here spidey taylor​

Answers

Answer:

this is my another account on brainly

What would be the all step you would take to solve the equation 2x + 1 = 10 - x?​

Answers

Answer:

3

Step-by-step explanation:

Move the terms : 2x + 1 =10 -x

Collect like terms

Calculate : 2x + x=10-1

Divide both sides

3x = 9

x = 3

There was 5/8 of a pie in the fridge. Daniel ate 1/4 leftover. How much of a pie did he have

Answers

Answer:

Therefore, 15 / 32 of the pie is left in the fridge.

Solve for x:
11) 2(x + 4) = 18

Answers

Answer:

x = 5

Step-by-step explanation:

2 (x + 4) = 18

x + 4 = 9

x = 5

Answer:

x=5

Step-by-step explanation:

2(x + 4) = 18

Divide each side by 2

2/2(x + 4) = 18/2

x+4 = 9

Subtract 4 from each side

x+4-4 = 9-4

x=5

NO LINKS OR ASSESSMENT!!

Write a rule to describe each transformation. Part 5

Answers

Answer:

(x, y) → (x + 3, y + 6)

Step-by-step explanation:

This is a translation up and right.

Compare the coordinates of corresponding points:

X(-5, -3) and X'(-2, 3)

The difference of coordinates:

-2 - (-5) = 33 - (-3) = 6

The rule:

(x, y) → (x + 3, y + 6)

Evaluate.

(jk−1) ÷j when j=−4 and k=−0.8

Enter your answer as a decimal in the box.

Answers

Step-by-step explanation:

(jk−1) ÷j

[(-4)(-0.8) -1] ÷ (-4)

=[ 3.2 -1] ÷ (-4)

=2.2 ÷ (-4)

= -0.55

The solution of the expression "[tex]\frac{jk-1}{j}[/tex]" is "-0.55".

The given values are:

j = -4k = -0.8

→ [tex]\frac{jk-1}{j}[/tex]

By putting the value of "j" and "k" in the given expression, we get

→ [tex]\frac{(-4)(-0.8)-1}{-4}[/tex]

By solving the brackets, we get

→ [tex]\frac{3.2-1}{-4}[/tex]

→ [tex]\frac{2.2}{-4}[/tex]

→ [tex]-0.55[/tex]

Thus the above response is correct.

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20,003x 6 using distributive property of multiplication

Answers

Answer:

360

Step-by-step explanation:

20.3 x 6

PLEASE HELP ME
(Part 1) A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Point-Slope form. Show your work algebraically for full credit. Circle your answer

(Part 2) A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Slope-intercept form. Show your work algebraically for full credit. Hint: this is the same line as in #1. Circle your answer.

Answers

Answer:

48

Step-by-step explanation:

A step-by-step solution to 1/6 plus 2/8, with the answer in fraction form.Now we multiply 1 by 8, and get 8, then we multiply 6 by 8 and get 48.

please help!!!! will mark brainlist! am I right??​

Answers

Answer:

you are corcect

Step-by-step explanation:

Factor 10xy-25x-16y+40=

Answers

(2y−5)(5x−8)

step by step Explanation:

10xy−25x−16y+40

10xy−25x−16y+40

=(2y−5)(5x−8)

hope it helps

find the values of x,y if (x+y,x-y) = (5,3) ​

Answers

The values are :

x = 4

y = 1

solution is in attachment !

These triangles are scaled copies of each other.



For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?

a. Triangle G and Triangle F Response area

b. Triangle G and Triangle B Response area

c. Triangle B and Triangle F Response area

d. Triangle F and Triangle H Response area

e. Triangle G and Triangle H Response area

f. Triangle H and Triangle B Response area

Answers

Answer:

a. 4

b. 1/4

c. 16

d. 1/9

e. 4/9

f. 9/16

Step-by-step explanation:

The ratio of the areas is the square of the ratio of the lengths of the sides.

a. Triangles G and F

Select a side in triangle G and the corresponding side in triangle F:

side in F: 10

corresponding side in G: 5

ratio of lengths of F to G = 10/5 = 2

ratio of areas of G to F: (2)^2 = 4

b. Triangles G and B

Select a side in triangle G and the corresponding side in triangle B:

side in G: 5

corresponding side in B: 5/2

ratio of lengths of B to G = (5/2)/5 = 1/2

ratio of areas of B to G: (1/2)^2 = 1/4

c. Triangles B and F

Select a side in triangle B and the corresponding side in triangle F:

side in B: 5/2

corresponding side in F: 10

ratio of lengths of F to B = 10/(5/2) = 4

ratio of areas of F to B: (4)^2 = 16

Do the same for the other 3 pairs of triangles.

The answers are:

d. 1/9

e. 4/9

f. 9/16

The ratio of the areas is the square of the ratio of the lengths of the sides.

Let's find the ratio of areas one by one:

A. Triangles G and F

Select a side in triangle G and the corresponding side in triangle F:

Side in F= 10

Corresponding side in G= 5

The ratio of lengths of F to G = 10/5 = 2

The ratio of areas of G to F= (2)^2 = 4

B. Triangles G and B

Select a side in triangle G and the corresponding side in triangle B:

Side in G= 5

Corresponding side in B= 5/2

The ratio of lengths of B to G = (5/2)/5 = 1/2

The ratio of areas of B to G: (1/2)^2 = 1/4

C. Triangles B and F

Select a side in triangle B and the corresponding side in triangle F:

Side in B= 5/2

Corresponding side in F= 10

The ratio of lengths of F to B = 10/(5/2) = 4

The ratio of areas of F to B: (4)^2 = 16

D. Triangles F and H

Select a side in triangle F and the corresponding side in triangle H:

Side in F= 10

Corresponding side in H= 10/3

The ratio of lengths of H to F = (10/3)/10 = 1/3

The ratio of areas of H to F: (1/3)^2 = 1/9

E. Triangles G and H

Select a side in triangle G and the corresponding side in triangle H:

Side in G= 5

Corresponding side in H=10/3

The ratio of lengths of H to G = (10/3)/5 = 2/3

The ratio of areas of H to G: (2/3)^2 = 4/9

F. Triangles H and B

Select a side in triangle H and the corresponding side in triangle B:

Side in H=10/3

Corresponding side in B= 5/2

The ratio of lengths of B to H = (5/2)/(10/3) = 3/4

The ratio of areas of H to G: (3/4)^2 = 9/16

The final answers are:

a. 4

b. 1/4

c. 16

d. 1/9

e. 4/9

f. 9/16

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if 40 workers can complete a piece of work in 15 days how many workers should be employed to complete the same work in 3 days​

Answers

8 workers. 15/3=5. 40/5=8

Use the Distributive Property to simplify the expression. (8⋅7)+(8⋅5)

Answers

Answer:

56 + 40

Step-by-step explanation:

multiply what is in the parenthesis, don't solve all the way because the instructions say to simplify.

Alex bought two hots dogs, fries, and a water at the food truck. The hot dogs were
$2.35 each and the fries were $1.25. When he paid with a $10 bill he received $1.45 in
change. How much was the water?

Answers

$2.60.To get this answer to multiply 2.35 by 2 to receive the total cost of the hotdogs, you get 4.70. Then you add 1.25 for the total cost of hotdogs and water, you get 5.95. Then you subtract that from 10 along with 1.45. You get $2.60.

To make an international telephone call, you need a the code the country you are calling. The codes for the country A, country B, and C are three consecutive integers whose sum is 90 find the code for each county

Answers

Answer:

Let:

x = code for country A

This is important: "the codes are three consecutive integers" That means,

x is code for country A

(x+1) is code for country B

(x+2) is code for country C

whose sum is 81" means

x + (x+1) + (x+2) = 90

3x+3=90

=3x=90-3

=3x=87

=x=87/3

=x=29

So, the codes are=29,30,31

To check 29+30+31=90

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