The depth, d , of a lake is 57 m, rounded to the nearest integer. Write the error interval for d in the form a ≤ d < b .

Answers

Answer 1

Given:

The depth, d , of a lake is 57 m, rounded to the nearest integer.

To find:

The error interval for d in the form a ≤ d < b.

Solution:

The depth, d , of a lake is 57 m, rounded to the nearest integer.

If the depths of the lake is 56.5m or greater than this up to 57 m, then the depth, d , of a lake is 57 m, rounded to the nearest integer.

[tex]56.5\leq d\leq 57[/tex]             ...(i)

If the depths of the lake is 57m or greater than this up to 57.5 m but not 57.5 m, then the depth, d , of a lake is 57 m, rounded to the nearest integer.

[tex]57\leq d<57.5[/tex]             ...(ii)

Using (i) and (ii), we get

[tex]56.5\leq d<57.5[/tex]

Therefore, the error interval for d is [tex]56.5\leq d<57.5[/tex].


Related Questions

Solve. {3d−e=7 d+e=5 Use the linear combination method. The solution is (2, −1). There are infinitely many solutions. The solution is (3, 2). There is no solution.

Answers

Answer:

The solution of the given equations are (3,2).

Step-by-step explanation:

Given equations are :

3d−e=7 ...(1)

d+e=5 ...(2)

Add equations (1) and (2) we get :

3d-e+d+e=7+5

4d = 12

d = 3

Put the value of d in equation (2).

3+e=5

e = 2

So, the value of d = 3 and e = 2. Solution of the given equations are (3,2).

What is the area of the triangle in the diagram?

Answers

Answer:no idea mate sorry

Step-by-step explanation:

If you add Natalie's age and Fred's age, the result is 40. If you add Fred's age to 4 timesNatalie's age, the result is 76. Write and solve a system of equations to find how old Fred and Natalie are.

Answers

Answer:

Natalie is 12 years and Fred is 28 years

Step-by-step explanation:

lets assume Natalie's age is X and Fred's age is Y

From the first sentence: X+Y = 40

From the second sentence: Y + 4X = 76

lets rearrange the equations

X+Y =40 ....... equation 1

4X+Y=76........ equation 2

To solve both equations, we will have to look for a way to eliminate one of the unknown to leave us with one unknown. since there are two +Y in both equations, we can subtract both equations to eliminate Y. Please note that whatever you do to one of the unknown in this equations applies to all other numbers & alphabets

So: 1. X - 4X = -3X

2. Y - Y = 0

3. 40 -76 = -36

writing the equation as one will be -3X = -36

X = 12

Put X = 12 into any of the equation

By putting X as 12 into equation 1 : 12 + Y = 40

Y = 40 -12 =28

Recall that Natalie is X and Fred is Y

Therefore Natalie is 12 years and Fred is 28 years

be

To crosscheck put in the gotten answers into the equations

X+Y =40 ....... 12 + 28 = 40

4X+Y=76........ 4(12) + 28 = 76

PLEASEEEE HELPPP IM BEGGING YOU ITS DUE REALLY SOON PLEASEEEEEE :(

Answers

Answer:

The answer would be A.

Step-by-step explanation:

Mark me Brainliest!

Find the area of a circle with a diameter of 2 feet. Use 3.14 for π.

Answers

The area of the circle will be 3.14 feet .

Question:-

Find the area of a circle with a diameter of 2 feet. Use 3.14 for π.

Answer:-

Given,

Diameter = 2 feet

Circumference = 2/2 = 1 feet

Now,

Area of a circle = πr²

= 3.14 × 1 × 1

= 3.14 feet

Hence , the circumference is 3.14 feet.

How do I solve x/10 +4 = 10​

Answers

Answer:

14 and simplify to 4

Step-by-step explanation:

Add 1010 to both sides.

x=4+10

x=4+10

2 Simplify  4+104+10  to  1414.

x=14

x=14

x−10=4

1 Let x=14x=14.

14-10=4

14−10=4

2 Simplify  14-1014−10  to  44.

4=4

4=4

Answer:

x=60

Solve for x by simplying both sides of the equation,then isolate the variable.Im not sure if this help but i tried.

In basketball, each shot made is worth 1, 2, or 3 points. Miles scored a total of 27 points in his most recent game. He made three 1-point shots
and four 3-point shots.
How many 2-point shots did he make?

Answers

Answer:6

Step-by-step explanation:

Subtract the three 1 point shots

Subtract the four 3 point shots

You are left with 12, and you split that in 2 because they're 2 point shots.

X^3 = 64
Solve it pls

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Correct

What is the measure of ZP?

39

56

97

29

Answers

I’m pretty sure it’s 29

Answer:

29 degrees

Step-by-step explanation:

Interior angle + exterior angle= 180 degrees

180-56=124

124+27=151

180-151=29

Hope this helps! :)

The treasure is 66 units away Move the ship and find the treasure
1.2
68

Answers

Answer:

Step-by-step explanation:

i need help,Thats all

Answers

Answer:

we all need help sometimes

Step-by-step explanation:

on a map the scale is 1 inch=350 miles. what is the distance between two cities if the map distance is 2.5 inches

Answers

Answer: 875

Step-by-step explanation:

You can set up proportions so it’s like: 1/350=2.5/x and then solve for x

Plss help me ASAP pls

Answers

x> -7
it is right bc im a senior and just bc

A school receives a shipment of 1450 apples the cafeteria manager wants to places the apples eually into containers each container can hold 96 apples how many full containers will the manager have

Answers

He will have 15 full containers

Help me asap pleaseee I need y’all help

Answers

Count each square and find the slope of z to get the length of each
Length is just numbering each square and adding them up

Answer:{ x,y } = { - 2, - 3 }

Step-by-step explanation: 4x = 2y - 2                                                                      

x = y/2 - 1/2                  

3. (y   /2 -  1/2 ) + 2y  =  - 12  

7y/2 =  - 21/2  

7y =   -  21    

x =   y/2 - 1/2  

   y =  - 3    

x = (/2) ( - 3 ) - 1/2 = - 2

             

Fill in the blanks below so the answer is x = 3
X +
= 10
Help please I’m in a test rn btw

Answers

Answer:

3 and 1

Step-by-step explanation:

To make this equation true you have to fill in the blank spots so x is 3

So I simply multiplied 3 times x which is 3x+ blank is 10

if I want x to be 3 then I fill in the blank for 1

now I do additive inverse to get the x by itself

subtract 1 on both sides

the equation is now 3x=9

Divide 3 in each sides and x=3

Answer:

1x + 7 = 10

-4x + 22 = 10

Step-by-step explanation:

Equations

We are given the following expression:

__x + __ = 10

Where the spaces must be filled with any value that makes x=3 the solution to the equation.

Let's call a and b the variables to fill up the spaces:

ax + b = 10

For x=3, the following equation must stand:

3a + b = 10

Any combination of a and b that makes true the above equation will solve the problem. Let's solve for b:

b = 10 - 3a

Make a=1, thus b = 10 - 3 = 7

So the equation:

1x + 7 = 10

Has the solution x=3

For a = -4, b = 10+12 = 22

Another combination is:

-4x + 22 = 10

indicate the answer choice that best completes the statement or answers
Choose the equation which represents the function.
2
Input,
Output, y
0 1
1
34
16 21
6
11
n 10
Oa y = 3x+3
Ocu- lux-9
Ob ) = 5x-4
Od y = 5x + 1


Answers

Answer:

Option D. y = 5x + 1

Step-by-step explanation:

From the question given above, the following data were:

Input (x) >>>>>> Output (y)

0 >>>>>>>>>>>> 1

1 >>>>>>>>>>>> 6

2 >>>>>>>>>>>> 11

3 >>>>>>>>>>>> 16

4 >>>>>>>>>>>> 21

To know the the correct answer to the question, we shall apply the equation given in each option to see which will satisfy the table. This can be obtained as follow:

For Option a

y = 3x + 3

x = 0

y = 3(0) + 3

y = 0 + 3

y = 0

y = 3x + 3

x = 1

y = 3(1) + 3

y = 3 + 3

y = 6

For Option b

y = 5x – 4

x = 0

y = 5(0) – 4

y = 0 – 4

y = – 4

y = 5x – 4

x = 1

y = 5(1) – 4

y = 5 – 4

y = 1

For Option c

y = 10x – 9

x = 0

y = 10(0) – 9

y = 0 – 9

y = – 9

y = 10x – 9

x = 1

y = 10(1) – 9

y = 10 – 9

y = 1

For Option d

y = 5x + 1

x = 0

y = 5(0) + 1

y = 0 + 1

y = 1

y = 5x + 1

x = 1

y = 5(1) + 1

y = 5 + 1

y = 6

From the illustrations made above, only option d satisfy the table. Thus, option d gives the correct answer to the question.

Derrick buys $14 more in groceries this week than he did last week. If he spent $76 this week, how much
money did he spend last week?

Answers

Answer:

62?

Step-by-step explanation:

I just subtracted 76 and 14, I don't know if i'm right


(4x + 36)°
(6x - 2)
What is x?

Answers

Answer:

4

Step-by-step explanation:

y = 2x + 4
y = 3x + 6
Solve for x

Answers

Answer:

(-2,0)

Step-by-step explanation:

A gardening store ordered 222,840 potted plants last year. This year, the store ordered 5% more than that number. How many potted plants were ordered this year?

Answers

Answer:

233982

Step-by-step explanation:

Answer:

233,982

Step-by-step explanation:

222840x0.05=11142

222840+11,142= 233,982

What is a decimal that is equivalent to the fraction ?

Enter the answer in the box.

Answers

Answer:

Answer is 0.44

Step-by-step explanation:

44/100=0.44

Answer:

0.44

Step-by-step explanation:

Here's a little secret you can use to instantly turn any fraction to a decimal: Just divide the numerator by the denominator!

1.) 44/100  = 44 ÷ 100  = 0.44

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`

Hope I helped!!!

GL :)

pls help me im so not smart lol

Answers

Answer:

7

Step-by-step explanation:

1 x  3=

2x3=6

4x3=12

7x3=21

Answer:

7

Step-by-step explanation:

im not that smart either but i think tis the 3s

1 x3 = 3

2 x3 = 6

4 x3 =12

7 x3 = 21

if tht makes any sense

Consider the diagram and angle measures shown below What is the value of m angle 3 ?

Answers

Answer:

The answer is below

Step-by-step explanation:

m∠lon = m∠2 (vertical opposite angles are equal)

m∠lon = m∠1 (corresponding angles are equal).

Therefore; m∠2 = m∠1 (substitution property)

3x + 25 = 7x + 5

Subtracting 5 and 3x from both sides of the equation:

3x + 25 - 5 - 3x = 7x + 5 - 5 - 3x

4x = 20

dividing through by 4:

4x / 4 = 20 / 4

x = 5

Given that:

m∠3 = -2x + 70

substituting x = 5:

m∠3 = -2(5) + 70 = 60

m∠3 = 60°

Therefore:

m∠4 + m∠2 + m∠3 = 180° (substitution)

(155 - 3x) + (7x + 5) + (-2x + 70) = 180

(-3x + 7x - 2x) + (155 + 5 + 70) = 180

2x + 230 = 180

2x = -50

x = -25

Therefore; m∠3 = -2x + 70 = -2(-25) + 70 = 50 + 70

m∠3 = 120°

Tilly and Lilly worked together on a job. Tilly earned twice as much as Lilly, and together they earned $510. How much did Lilly earn?

Answers

Answer:

310

Step-by-step explanation:

i think? i apologize if not

Does this make sense and/or help at all? I can explain it better if you want. :)

While shopping, Dawn finds a backpack that she likes on the sale rack. Its original price is $60,
but everything on the rack comes with a 30% discount. Dawn also has a coupon for 15% off of
her total purchase.
Dawn says, "Thirty percent and fifteen percent make forty-five percent and 45% of $60 is $33,
so it will cost $33."
Is Dawn correct? Explain why or why not. Be sure to support your reasoning with a
mathematical model.

Answers

No. Because 33 $ is the money deducted from the 60 $. Dawn bought everything for less than 60 $.

So, if Dawn purchases everything on the rack with a 30% discount and 15% coupon the total will indeed make 45%.

We have to take 100% - 45%= 55% to know the reduction number. Let's proceed to the calculations now.

100%= 60 $

1%=60/100

55%= 60/100 × 55 = 33 $

Now NOTE; 33 $ is the money reduced from the 60 $. So, logically, 33 $ isn't the amount which Dawn purchased the whole rack.

To find the amount at which she purchased everything, we need to do,

60 $ - 33 $ = 27 $

What the heck does this mean? -(-) =

Answers

Answer:

+

Step-by-step explanation:

++ = +

+- = -

-+ = -

-- = +

Example:

-1 x -1 = 1

1 x -1 = -1

It means positive I guess because a negative with a negative is positive

The system of equations is graphed on the coordinate plane.
y=-5/3x+3
y=1/3x - 3
Enter the coordinates of the solution to the system of equations
in the boxes.

Answers

Answer: The solution is (3, -2)

This means that x = 3 and y = -2 pair up together.

=====================================================

Explanation:

The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).

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

As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation

y = (-5/3)x + 3

y = (-5/3)*3 + 3

y = -5+3

y = -2

The first equation is confirmed. Let's check the second equation

y = (1/3)x - 3

y = (1/3)*3 - 3

y = 1 - 3

y = -2

Both equations have the y value equal -2 when x = 3. Therefore, the overall solution is confirmed.

If p + q has a value that is exactly 1/3 less than p, what is the value of q

Answers

Answer:

- ⅓

Step-by-step explanation:

p + q = p - ⅓

q = (p - p) - ⅓

q = - ⅓

Can someone please answer my last geometry question?
in the meanwhile, you can have these points


how's your day btw?

Answers

Answer:

Its good and yours? ill try to answer ur question i might not know lol

Step-by-step explanation:

Answer:

hello

Step-by-step explanation:

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