Alexander uses cupric chloride to etch circuit boards. He recorded the room temperature, in ^\circ\text{C} ∘ Cdegrees, start text, C, end text, and the etching rate, in \dfrac{\mu\text{m}}{\text{min}} min μm ​ start fraction, mu, start text, m, end text, divided by, start text, m, i, n, end text, end fraction, of the cupric chloride. After plotting his results, Alexander noticed that the relationship between the two variables was fairly linear, so he used the data to calculate the following least squares regression equation for predicting the etching rate from the room temperature: \hat y = 2 +\dfrac{1}{5} x y ^ ​ =2+ 5 1 ​ xy, with, hat, on top, equals, 2, plus, start fraction, 1, divided by, 5, end fraction, x What is the residual if the room temperature was 25^\circ\text{C}25 ∘ C25, degrees, start text, C, end text and the cupric chloride had an etching rate of 5\dfrac{\mu\text{m}}{\text{min}}5 min μm ​ 5, start fraction, mu, start text, m, end text, divided by, start text, m, i, n, end text, end fraction ?

Answers

Answer 1

The residual is the difference between the observed etching rate and the predicted etching rate

The residual of a room temperature of 25 degrees Celsius is [tex]- 2\dfrac{\mu\text{m}}{\text{min}}[/tex]

How to determine the residual

The least squares regression equation for predicting the etching rate from the room temperature is given as:

[tex]\hat y = 2 +\dfrac{1}{5} x[/tex]

When the room temperature is 25 degrees Celsius, the regression equation becomes

[tex]\hat y = 2 +\dfrac{1}{5} *25[/tex]

Evaluate the product

[tex]\hat y = 2 +5[/tex]

Evaluate the sum

[tex]\hat y = 7[/tex] --- this represents the predicted etching rate

The residual is calculated as:

Residual = Observed - Predicted

From the question, the observed etching rate is [tex]5\dfrac{\mu\text{m}}{\text{min}}[/tex]

So, the residual equation becomes

[tex]r = 5\dfrac{\mu\text{m}}{\text{min}} - 7\dfrac{\mu\text{m}}{\text{min}}[/tex]

Evaluate the difference

[tex]r = - 2\dfrac{\mu\text{m}}{\text{min}}[/tex]

Hence, the residual of a room temperature of 25 degrees Celsius is [tex]- 2\dfrac{\mu\text{m}}{\text{min}}[/tex]

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Related Questions

Explain why you agree or do not agree with Mr. Brown.

Answers

I disagree. Mr. Brown’s interquartile range is 13, while Mrs. Nelson’s is 9. A lower interquartile range means her scores are closer to her class median.

hoping this is what you are looking for

Marcus is 48 inches tall. If Marcus is 2/3 of his
older brother's height, how tall is his older brother?

Answers

Answer:

48=2/3

48×3÷2= Marcus older brother height

72 inches

A car enthusiast learns that a particular model of car, which costs $34,411 new, loses 25% of its value every year. How much will the car be worth in 6 years?

Answers

The worth of the car in 6 years would be $25,808.25.

What will be the worth of the car in 6 years?

The car is depreciating with the passage of time. When an asset depreciates, it costs less and less as a result of decline in value.

The exponential equation that can be used to determine the value of the car is:

Value of the car in 6 years = value of the car today x (1 - loss in value)^number of years

= $34,411 x (1 - 25%/100)

$34,411 x (1 - 0.25)

$34,411 x 0.75 = $25,808.25

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#SPJ1

Move the numbers to the lines to order them from least to greatest.
least
greatest
4.8
3.95
3.41
4.02

Answers

Answer:

4.8 because it's a bigger than the other three numbers

4.02

3.95

3.41

Carmen's dog needs medication. She told the veterinarian that the dog weighs 50 lb. The medicine is measured as 14 mg for each kilogram
of the animal's mass. How much medicine should be given to Carmen's dog?
Use 1 lb=0.45 kg and do not round any computations.

Answers

Answer:

315mg

Step-by-step explanation:

So we calculate that 50Ib is the same as 22.5kg according to the given formula for converting.

14 multiplied by 22.5 is 315mg.

We should give Carmen's dog 315mg!

Joshua has 390 photos. He pasted 6 photos in each page. How many pages does
he need to paste all the photos?

Answers

Answer:

65

Step-by-step explanation:

Joshua has 390 photos, you need to divide that number by the each amount of photos in each page to figure out how many pages he needs to paste all them.

So you'd divide it like. 390 / 6


And that gives you 65.

Answer:

65

Step-by-step explanation:

It is 360 divided by 6 and you will get 65 (if you need help with long division contact me)

Star Wars is showing in two adjacent theaters. One
theater sells 80 adult tickets and 50 child tickets and
collects $1310. The other theater sells 98 adult tickets and
50 child tickets and collects $1526. What is the cost for
each adult ticket and each child ticket? Write and solve a
system of equations.

Answers

Answer:

700$

Step-by-step explanation:


if A and B are events with P(A) = 0.2, P(A OR B) = 0.61, and P(A AND B) = 0.19, find P(B).

Answers

Answer:

0.41

Step-by-step explanation:

p (A) = 0.2

P (B) =?

P (A or B) = 0.61

but P (A or B) = P (A) + P (B)

therefore P(B) = P (A or B) - P(B)

= 0.61 - 0.2

= 0.41

For what value of X is ABC-DEF?

Answers

Answer:

12

Step-by-step explanation:

7x+10=94

  -10    -10

7x=84

7x/7=84/7

x=12

4x-6=42

   +6  +6

4x=48

4x/4=48/4

x=12

Answer:

A- 12

Step-by-step explanation:

7(12)+10

84 +10

94

4(12)-6

48-6

42

Option B: More accurate and efficient financial reporting (such as a reduction in human errors and increased productivity).

Answers

As the owner of a medium to a large company, new technologies such as AI can be used to support daily operations because of Option B. More accurate and efficient financial reporting (such as a reduction in human errors and increased productivity).

What is AI (Artificial Intelligence)?

Artificial intelligence (AI) is an algorithm that gives a robot or computer the ability to undertake tasks normally done by human beings.

The tasks were previously required human intelligence and discernment but can now be handled by a robot or a computer.

Question Completion:

Artificial Intelligence (AI) is not a new phenomenon, but it is still a growing concern for many industries. While the human element remains the most important factor in most businesses, the accounting industry is not exempt from the threat of new technologies. If you were the owner of a medium to a large company, how could you use new technologies such as AI to support your daily operations? Select and discuss one of the options below.

Answer Options:

Option A: Cost savings associated with payroll and other personnel costs (i.e. training and development, employee hiring)

Option B: More accurate and efficient financial reporting (i.e. reduction in human errors, increased productivity)

Thus, AI enables accurate and efficient financial reporting with increased productivity.

Learn more artificial intelligence at https://brainly.com/question/25523571

Jim’s pay is £240 each week. Jim asks his boss for an increase of £40 a week. Jim’s boss offers him a 15% increase. Is the offer from Jim’s boss more than Jim asked for?
You must show your working.

Answers

40 / 240 is 1 / 6 which is 16.6666666667%, 15 is slightly less so the offer is NOT more than what jim asked for

listen to you customer or you will have none

Answers

Lost braincells ……….

Write a verbal statement that represents the expression 4 + k. I NEED HELP ASAP

Answers

Hey there!


GUIDE:

- means difference which also means “subtract”/“subtraction”.

+ means sum which also means “add”/“addition”.

÷ means quotient which also means “divide”/“division”.
× means product which also means “multiply”/“multiplication”.

= means which also means “is” or “equivalent to”.
a - z (any letter of the alphabet) is known as your “variable”


MET the ANSWER

“The SUM of 4 & k” or “The SUM of k and 4”



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)


Which of the following is the function rule for the function ((0,-2),(1,0),(-1,-4))?
y = x-1
y = 4x + 2
y= 2 x - 2
y=3 x-3

Answers

Answer: y= 2x - 2

Explanation: if your plug your X values into the equations and solve you will find that this equation will be the only one that will make sense. hope this helps :)

A single fair die is tossed twice in succession. Determine the probability of getting a three on the first toss and an even number on the second toss.

Answers

not sure if this is correct cus it seems like basic probability but..?
probability of 3 on 1st toss is 1/6
probability of even no. is 3/6 1/2
1, 2(e), 3, 4(e), 5, 6(e)

Use the tables below to find (p + a)(2).
*
p(x)
*
9(x)
. 4.
-1
4
1
2
3
2
-2
--3
2
-3
5
(p + 9)(2) =
+

Answers

Answer: 1

Step-by-step explanation:

PLEAS GIVE THE APPROPRIATE ANSWERS

Answers

Answer:

Page 1 Answer: [tex]\frac{9}{5}[/tex]

Page 2 Answer: 175

Page 3 Answer: Alicia used 1.5 gallons to travel a distance of 37.5 miles.

Page 4 Answer: I think its 117 but I could be wrong...

Step-by-step explanation:

Page 1:

We just simplify [tex]\frac{36}{20}[/tex] by dividing and get 9/5

Page 2: Since they want to DOUBLE her amount in her savings, we double her current amount (125) and get 250 by adding.

Next, we subtract 125 from 300 in her checking and get 175.

Page 3:

We use the titles so solve the graph.

Answer:

Step-by-step explanation:

Expression 1:

b) [tex]\frac{36}{20} =\frac{36/4}{20/4}=\frac{9}{5}[/tex]

Gabrielle:

$125 * 2 = $250

300 - 125 = $175

c) $175 will be her new checking account balance.

Alicia:

d) Alicia used 1.5 gallons to travel a distance of 37.5 miles.

Kenneth:

Area of a triangle: A = 1/2*b*h (base = 6, height = 6)

A = 1/2 * 6 * 6

A = 1/2 * 36

A = 18 square inches

Since there are two triangles, it would be 18 * 2 = 36 square inches

Area of a rectangle: A = l*w (length = 9, width = 9)

A = 9 * 9

A = 81 square inches

Add the two areas together:

b) 36 + 81 = 117 square inches

Hope this helps!

pleaseeeee helppppppppppp ​

Answers

Answer:

10

Cuz im cool like that

Answer: 1 centimeter = 10 millimeters

Step-by-step explanation:

The value of y varies inversely with x, and y = 12 when x = -4. Find y when x = -2

Answers

Brainliest pls!
Have a nice day :)

The table shown lists random points found on a coordinate plane.


Using a minimum of three points, create two linear functions. Prove the line created works exclusively with the three points by justifying how the x-value and y-value fit into the equation for the line.

Answers

The two lines created from the points (0, 10), (2, 7) and (-3, -3) works

exclusively with the three points as presented in the the attached graph.

Which methods can be used to obtain linear functions?

The possible value in the table obtained from a similar question is presented as follows;

[tex]\begin{array}{|lcl|}(-1, \, 1)&&(2, \, 7)\\(-4, \, 8)&&(2, \, 11)\\(0, \, 10)&&(-3, \, -3)\end{array}\right][/tex]

A line is defined as the shortest distance between two points.

Taking the points (0, 10) and (-3, -3), we have;

[tex]Slope = \dfrac{10 - (-3)}{0 - (-3)} = \dfrac{13}{3}[/tex]

Which gives;

[tex]y -10 = \dfrac{13}{3} \times x[/tex]

[tex]y = \dfrac{13}{3} \cdot x + 10[/tex]

From the attached graph, the points (-1, 1), (2, 7), (2, 11), and (-4, 8) are not on the line.

The linear function, [tex]y = \dfrac{13}{3} \cdot x + 10[/tex] works exclusively for the points (0, 10) and (-3, -3), given that the coordinates of points on the line are; (-1, [tex]5\frac{2}{3}[/tex]), (2, [tex]18\frac{2}{3}[/tex]), (-4, [tex]-7\frac{1}{3}[/tex])

Second line

Taking the points (2, 11) and (-3, -3), we have;

[tex]Slope = \mathbf{\dfrac{11 - (-3)}{2 - (-3)}}= \dfrac{14}{5} = 2.8[/tex]

Which gives;

[tex]y - (-3) = 2.8\times (x - (-3)) = 2.8 \cdot x + 8.4[/tex]

y = 2.8·x + 8.4 - 3 = 2.8·x + 5.4

Which gives;

y = 2.8·x + 5.4

The line, y = 2.8·x + 5.4, works exclusively for the points (2, 11) and (-3, -3), given that the points (2, 7), (2, 11), (0, 10), and (-3, -3) are not on the line

The coordinates of points on the line are; (-1, 2.6), (-4, -5.8), and (0, 5.4).

Learn more about linear functions here:

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which graph shows all the values that satisty ğ x+3545?
X+ 3
-10
10
+
-10
10
5
0
5
10
10
10
-5

Answers

Answer:

Which graph shows all the values that satisty ğ x+3545? X+ 3 -10 10 + -10 10 5 0 5 10 10 10 -5 - did not match any documents.

Suggestions:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Step-by-step explanation:

Two parallel lines were cut by a transversal. Which of the following scenarios is NOT a possible result?

Question 1 options:
A a pair of supplementary angles with measures of 105° and 75°

B a pair of alternate exterior angles with measures of 72° and 72°

C a pair of corresponding angles with measures of 30° and 30°

D a pair of same side interior angles with measures of 50° and 50°

Answers

Answer:

Option D

Step-by-step explanation:

The first three options are correct.

The last option is incorrect as same side interior angles are supplementary, so they should sum to 180° but in the given option their sum is 100°.

Answer:

D

Step-by-step explanation:

Smae side interior angles are supplementary i.e they have sum 180°

If one is 50°

Then other one must be 180-50=130°

find the value of x y and z in the rhombus below

Answers

Answer:

x = y = 13, z = 18

Step-by-step explanation:

6x + 8 = 86

6x = 86 - 8 = 78, so x = 78/6 = 13

7y + 3 + 86 = 180

7y = 180 - 86 - 3 = 91

y = 91/7 = 13

5z + 4 + 86 = 180

5z = 180 - 86 - 4 = 90

z = 90/5 = 18

please math help
graphing an integer function and finding its range for a given domain

Answers

Answer:

  {-3, -1, 1, 3}

Step-by-step explanation:

The range is the set of function values corresponding to the values in the domain. They are generally sorted into numerical order.

  range = {-3, -1, 1, 3}

__

Each value is found by evaluating the function at the domain value:

  f(-1) = 1 -2(-1) = 3

  f(0) = 1 -0 = 1

  f(1) = 1 -2(1) = -1

  f(2) = 1 -2(2) = -3

The diameter of a basketball rim is 45 centimeters. What is the measurements around the rim. Use 3.14 for π.

Answers

Answer: 141.3

Step-by-step explanation:

I got it correct

compare, using subtraction and division, the amount of sugar used in two recipes, if Recipe 1 used two and two thirds (2 2/3) cups and Recipe 2 used one and a half (1 1/2) cups. Show your calculations and then write your answers as sentences.​

Answers

Answer:

Recipe 1 used [tex]1\frac{7}{9}[/tex] times as many cups and [tex]1\frac{1}{6}[/tex] more cups than Recipe 2.

Step-by-step explanation:

By subtraction:

2 [tex]\frac{2}{3}[/tex] - 1 [tex]\frac{1}{2}[/tex]

[tex]\frac{8}{3}[/tex] - [tex]\frac{3}{2}[/tex]

[tex]\frac{8*2}{3*2}[/tex] - [tex]\frac{3*3}{2*3}[/tex]

[tex]\frac{16}{6}-\frac{9}{6} = \frac{7}{6} =1\frac{1}{6}[/tex] cups more

By division:

2 [tex]\frac{2}{3}[/tex] / 1 [tex]\frac{1}{2}[/tex]

[tex]\frac{8}{3}[/tex] / [tex]\frac{3}{2}[/tex]

[tex]\frac{8}{3}[/tex] * [tex]\frac{2}{3}[/tex]

[tex]\frac{8*2}{3*3}=\frac{16}{9} =1\frac{7}{9}[/tex] times as many cups more

4+4+4+5+5+5+5+5+5+5+5+5+5+5=

Answers

Answer:

67 ans

Step-by-step explanation:

please mark me as brainlist

Answer:

67

Step-by-step explanation:

Directions: Solve each problem. Show how you found each answer.
4. Arthur went to bed at 9:30 p.m. and woke up at 6:00 a.m. How many hours was he asleep?

Answers

Answer:

8 and a half hours

Step-by-step explanation:

Time arthur went to bed = 9:30 pm
Time arthur woke up = 6 am
Hours arthur was asleep = 24 - (9 and half + 6)
                                         = 24 - 15 and a half
                                         = 8 and a half

Mathematics help ...

no links

Answers

Answer:

1. 2/6 = 0.33 FIRST

2. 2/3 = 0.66 SECOND

3. 11/12= 0.92 THIRD

Ten marbles are in a bag. Four of the marbles are red.
If one marble is drawn from the bag, what is the probability that it will
be red?

Answers

Answer:

40% or 4/10

Step-by-step explanation:

If 4 out of the 10 marbles are red, you simply divide them (4/10).

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