the objective function of linear programming model should be

Answers

Answer 1

The objective function of a linear programming model should be to maximize or minimize the numerical value.

What is the objective function?

The objective function consists of linear functions which are subjected to constraints in the form of linear equations or in the form of inequalities.

The objective function is always stated as z = ax + by.

The numerical value may be the:

Cost of a projectProduction quantityProfit valueMaterials savings.

Thus, the objective function of a linear programming model, which is always linear, is to maximize or minimize a numerical value.

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Related Questions

A sample of size 400 has mean =6.0. Can it be regarded as a sample from a large population with mean 6.25 inches and standard deviation 2.25 inches ? using α=0.05

Answers

The value of Z at the 5% level is not significant if the sample of size 400 has mean is 6.0.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

The standard error of the estimated mean:

[tex]\rm = \dfrac{2.5}{\sqrt{400}}[/tex]

= 0.1125

x = 6.0–6.2 = 0.2

[tex]\rm Z = \dfrac{0.2}{0.1125}[/tex]

Z = 1.778

This is not significant at the 5% level.

This would have been significant at the 5% level if the same sample means had been found using a sample size of merely 500.

Thus, the value of Z at the 5% level is not significant if the sample of size 400 has mean is 6.0.

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Study: Factoring Polynomials Completely
What are the possible roots of the polynomial function below? (Check all
that apply.)
F(x) = 2x² + 5x -5

Answers

Answer:

x = 0.76556443         x = -3.26556443

Step-by-step explanation:

You can use the quadratic formula to find the roots.

Find the exponential function that contains the points (3,24) and (4,48).

Answers

The required  exponential function that contains the points (3,24) and (4,48) is y = 3(2)^x

Exponential functions

The standard exponential function is expresses as y = ab^x

Given the coordinate points (3,24) and (4,48), the equivalent equations are:

24 = ab^3 ......... 1

48 = ab^4

Take the ratios

48/24 = b^4/b^3

2 = b

Substitute b = 2 into equation 1

24 = a(2)^3

8a = 24

a = 3

Hence the required  exponential function that contains the points (3,24) and (4,48) is y = 3(2)^x

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how do i factor f(x)= x^4 - 4x^3 +3x^2 + 4x -4 into linear terms?

Answers

The factor of the polynomial f(x) = x⁴ - 4x³ + 3x² + 4x -4 are x = -1, x = 1 and x = 2.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the function  f(x) = x⁴ - 4x³ + 3x² + 4x -4. The factor of the polynomial f(x) = x⁴ - 4x³ + 3x² + 4x -4 are x = -1, x = 1 and x = 2.

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Problem 10-09 (Algorithmic) Cress Electronic Products manufactures components used in the automotive industry. Cress purchases parts for use in its manufacturing operation from a variety of different suppliers. One particular supplier provides a part where the assumptions of the EOQ model are realistic. The annual demand is 5,300 units, the ordering cost is $70 per order, and the annual holding cost rate is 25%.

Answers

The economic order quantity is 385 and reorder point is 254.

Economic order quantity (EOQ)

a. Economic order quantity (EOQ)

EOQ=√2×D×C÷H

Where:

D =Annual Demand

S = Cost of Ordering

H=Holding cost

Hence:

EOQ=√2×5300×70÷.25×20

EOQ=√742,000÷5

EOQ=√148,400

EOQ=385

b. Reorder point

Reorder point=5300/250×12 days

Reorder point=254

c. Reorder point

Reorder point=5300/250×35 days

Reorder point=742

d. Reorder point

Reorder point=742-385

Reorder point=357

Therefore the economic order quantity is 385 and Reorder point is 254.

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The complete question is:

a. If the cost of the part is $20 per unit, what is the economic order quantity?

b. Assume 250 days of operation per year. If the lead time for an order is 12 days, what

is the reorder point?

c. If the lead time for the part is seven weeks (35 days), what is the reorder point?

d. What is the reorder point for part (c) if the reorder point is expressed in terms of the inventory on hand rather than the inventory position?

Each side of a hexagon is 10 inches longer than the previous side. What is the length of the shortest side of this hexagon if its perimeter is 401 inches?

Answers

Answer:

41.83 inches

Step-by-Step Explanation:

You have to trust me. I helped my brother with this.

The length of the shortest side of the hexagon is approximately 41.83 inches

Let's denote the length of the shortest side of the hexagon as "x" inches. According to the given information, each side of the hexagon is 10 inches longer than the previous side.

So, the lengths of the sides of the hexagon can be expressed as follows:

First side: x inches

Second side: (x + 10) inches

Third side: (x + 20) inches

Fourth side: (x + 30) inches

Fifth side: (x + 40) inches

Sixth side: (x + 50) inches

To find the perimeter of the hexagon, we sum up the lengths of all the sides:

Perimeter = x + (x + 10) + (x + 20) + (x + 30) + (x + 40) + (x + 50)

We know that the perimeter is given as 401 inches, so we can set up the equation:

401 = x + (x + 10) + (x + 20) + (x + 30) + (x + 40) + (x + 50)

Simplifying the equation:

401 = 6x + 150

Subtracting 150 from both sides:

251 = 6x

Dividing both sides by 6:

x = 251/6

Therefore, the length of the shortest side of the hexagon is approximately 41.83 inches (rounded to two decimal places).

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(PLEASE HELP FAST!!!) Which expression gives the area of triangle QRS?

Answers

The expression which gives the area of triangle QRS is [tex]\frac{1}{2} (9)(15)sin(20^{o} )[/tex].

We need to find the area of triangle QRS.

How do I find the area of a triangle using trigonometry?

The area of a triangle can be expressed using the lengths of two sides and the sine of the included angle. Area of Δ = ½ ab sin C.

Now, the area of the triangle QRS[tex]=\frac{1}{2} (9)(15)sin(20^{o} )[/tex]

Therefore, the expression which gives the area of triangle QRS is [tex]\frac{1}{2} (9)(15)sin(20^{o} )[/tex].

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Write an equation of the line passing through the point (6,4) that is perpendicular to the line y=- 1/2x +4 ​

Answers

Hello,

"perpendicular to the line y= - 1/2x +4 "

so y = -1/2x + p

-1/2 × 6 + p = 4 ⇔ -3 + p = 4 ⇔ p = 4 + 3 = 7

y = -1/2x + 7

Which of the following examples illustrates ordinal numbers?
A. Marie counted the number of chips on her plate and said, " I have eight".
B. Gracie told Bradly she would be the first one to go down the slide.
C. Bennett said he had more blocks than anyone.

Answers

Answer:

30-5×2 of 3+(19-3) ÷8

Step-by-step explanation:

30-5×6+(19-3)÷8

30-5×6+16÷8

30-30+8

38-30

8

Answer:

Step-by-step explanation:

b

wo competing companies are having sales on projectors. Projector #MD375 has a retail price of $1,200. The Office Spot is advertising #MD375 for 20% off, while Office & Beyond has stated they will match any competitor’s advertised special and take an additional 15% off of the competitor’s advertised price. How much money is saved by purchasing the projector from Office & Beyond instead of the Office Spot?

Answers

The amount of money that is saved by purchasing the projector at Office and beyond is $144.

How much money is saved?

The first step is to determine the price of the projector at The Office spot.

Discounted price : (1 - 0.20) x $1200

0.80 x $1200 = $960

The second step is to determine the price of the projector at the Office and Beyond.

Discounted price : (1 - 0.15) x $960 = $816

Difference in price : 960 - 816 = $144

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Write an expression that is equal to 20 usong only one 2 and two 4s and any number of math symbols

Answers

Answer:

4^2+4

Step-by-step explanation:

one 2 and two 4s

so 4^2+4=16+4=20

so 4^2+4

(calculation)

Solve the mathematical puzzle.

Determine the digits of Y

from these clues.

The digits of Y

add to 16.
The first digit is 4 times the third digit.
The second digit is 3 times the third digit.

Y is a three digit number.

Answers

Answer:

862

Step-by-step explanation:

4 x 2 = 8

3 x 2 = 6

8 + 6 + 2 = 16

There's 18 deer and 52 lions if 10 lions eat 17 deer how many deer are left

Answers

Answer:

1 deer

Step-by-step explanation:

18 deer minus 17 eaten leaves 1 deer

1 deer bc 18-17 is 1


A train travels 65 miles and then stops in a city. Then it travels at a speed of 95 miles per hour before reaching its last stop.
Enter a linear model which represents the total distance traveled, d, by the train, as a function of t, the number of hours
after leaving the city

Answers

Step-by-step explanation:

as speed is always

distance/time

we need to multiply speed by the time traveled to get the distance traveled.

so,

d = 95t + 65

after all, until it reached the city it traveled already 65 miles (we don't know the speed, but it does not matter for the question about the total distance traveled), which we need to add to get the total distance.

How many 4-character passwords can you generate if the first character can be any letter of the English alphabet, the next two characters can be any two digits from 0 to 9, and the last one can be any of the characters %,*, or #? (Repetition is allowed!)

Answers

There are 7,800 different passwords.

How many different passwords can be generated?

Here we need to count the number of options for each of the digits of the password.

The first character has 26 options (26 letters in the alphabet).

The second character has 10 options (ditis from 0 to 9), and also does the third character

The fourth character has 3 options (%,*, or #)

The total number of different passwords that can be generated is given by the product between the numbers of options, so we have:

C = 26*10*10*3 = 7,800

There are 7,800 different passwords.

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2
Drag each number or expression to the correct location on the table. Each number or expression can be used more than once, but not all
numbers or expressions will be used.
Complete the empty cells in the table by determining all terms, constants, and coefficients for both algebraic expressions.
-5 7 5
Expressions
Terms
Constants
Coefficients
-5a
11
Reset
4a2
4a2. -5a-3
Next
7(-3x + 5) + 1ly
7(-3x + 5)
11y
5

Answers

The empty cells in the table by determining all terms, constants, and coefficients for both algebraic expressions will be:

Constant = -3Coefficient = -4, -5

How to illustrate the information?

In the first expression, the equation is given as 4a² - 5a - 3 while in the second expression, the equation is given as 7(-3x + 5) + 11y.

In this second expression, the term is 7(3x + 5), 11y. The constants are -7 and 5. Lastly, the coefficients are -3, and 11.

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What is the solution set for this inequality? 5x − 4 < 11 + 8x

Answers

Answer: x>-5

Step-by-step explanation:

add 4 to both sides

5x-4+4<11+8x+4

simplify

5x<8x+15

subtract 8x from both sides

5x-8x<8x+15

simplify

-3x<15

divide both sides by -3 and switch inequality sign

-3x/-3>-15/-3

x>-5

[tex]\large\displaystyle\text{$\begin{gathered}\sf 5x-4 < 11+8x \end{gathered}$}[/tex]

Simplify both sides of the inequality.

[tex]\large\displaystyle\text{$\begin{gathered}\sf 5x-4 < 8x+11 \end{gathered}$}[/tex]

Subtract 8x from both sides.

[tex]\large\displaystyle\text{$\begin{gathered}\sf 5x-4-8x < 8x+11-8x \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf -3x-4 < 11 \end{gathered}$}[/tex]

Add 4 to both sides.

[tex]\large\displaystyle\text{$\begin{gathered}\sf -3x-4+4 < 11+4 \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf -3x < 15 \end{gathered}$}[/tex]

Divide both sides by -3.

[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{-3x}{-3} < \frac{15}{-3} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf x > -5 \ \ \iff \ \ \ Answer \end{gathered}$}[/tex]

{ Pisces04 }

A bus travels from Boston to New York 220 miles. The bus departs at 2pm and arrives at new York at 7pm. what's the average speed?

Answers

The average speed 54 mph

A convenience store recently started to carry a new brand of soft drink. Management is interested in estimating future sales volume to determine whether it should
continue to carry the new brand or replace it with another brand. The following table provides the number of cans sold per week. Use both the trend projection with
regression and the exponential smoothing (let a=0.4 with an initial forecast for week 1 of 574) methods to forecast demand for week 13. Compare these methods by
using the mean absolute deviation and mean absolute percent error performance criteria. Does your analysis suggest that sales are trending and if so, by how much?
2
5
Period 1
3 4
574 635 652 739 679
Sales
with regression forecast.
(Enter your response rounded to the nearest whole number.)
(1) Obtain the trend projection
The forecast for week 13 is
6
637
7
723
8
691
9
773
10
718
11
656
12
729

Answers

The forecast for week 13 is 9.7%

a) MAD without the forecast = 43.71

MAD with the forecast = 45.59

b) MAPE = 0.097

MAPE= 9.7%

642 602 656 747 663 618 731 726 679 737 664 740

Mean Absolute deviation is given as

MAD = [Σ|x - μ|]/N

We first calculate the mean

Mean = Σx/N

Mean = (642+602+656+747+663+618+731+726+679+737+664+740)/12

Mean = (8205/12)

Mean= 683.75

absolute deviations from the mean

|642-683.75| + |602-683.75| + |656-683.75| + |747-683.75| + |663-683.75| + |618-683.75| + |731-683.75| + |726-683.75| + |679-683.75| + |737-683.75| + |664-683.75| + |740-683.75|

Absolute deviations from the mean

41.75+81.75+27.75+63.25+20.75+65.75+47.25+42.25+4.75+53.25+19.75+56.25= 524.5.

What is the formula for absolute mean deviation?

MAD = [Σ|x - μ|]/N

MAD = (524.5/12)

MAD = 43.71

If we include the forecast for the 13th week

642 602 656 747 663 618 731 726 679 737 664 740 747

Mean = (8205+747)/13

Mean = 688.62

absolute deviations from the mean

|642-688.62| + |602-688.62| + |656-688.62| + |747-688.62| + |663-688.62| + |618-688.62| + |731-688.62| + |726-688.62| + |679-688.62| + |737-688.62| + |664-688.62| + |740-688.62| + |747-688.62|

Absolute deviations from the mean

=46.62+86.62+32.62+58.38+25.62+70.62+42.38+37.38+9.62+48.38+24.62+51.38+58.38

= 592.62

MAD = (592.62/13)

MAD = 45.59.

b) MAPE is used to check forecast errors

MAPE = (1/N) Σ [|x-f|/x]

where N = Sample size = 12

x = each variable

f = the forecasted value = 747

x = 642, 602, 656, 747, 663, 618, 731, 726, 679, 737, 664, 740

Σ[|xf|/x]=0.164+0.241+0.139+0+0.112+0.209+0.022+0.029+0.100+0.014+0.125+0.009

Σ [|x-f|/x] = 1.164

MAPE = (1.164/12)

MAPE = 0.097

MAPE=9.7%

The forecast for week 13 is 9.7%.

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What is the measure of arc ECF in circle G? pls show work, I don't get edge teachers

Answers

The measure of arc ECF in circle G is 98°. The correct option is the second option 98°

Circle Geometry

From the question, we are to determine the measure of arc ECF

By using the one of the circle theorems

The angle subtended by an arc of a circle is twice the angle it subtends anywhere on the circle's circumference

In the given diagram,

∠F = 1/2 ×104°

∠F = 52°

∠D + ∠E + ∠F = 180° (Sum of angles in a triangle)

∠D + 79° + 52° = 180°

∠D = 180° - 79° - 52°

∠D = 49°

m arc ECF = 2 × m ∠D

m arc ECF = 2 × 49°

m arc ECF = 98°

Hence, the measure of arc ECF in circle G is 98°. The correct option is the second option 98°

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If f(x) = x2 + x and g(x) = x − 3, find f(g(7)).

Answers

The value of f(g(7)) is 20

How to determine the composite functions?

The functions are given as:

f(x) = x^2 + x

g(x) = x - 3

Start by calculating g(7)

g(7) = 7 - 3

Evaluate

g(7) = 4

So, we have:

f(g(7)) = f(4)

Substitute 4 for x in f(x) = x^2 + x

f(4) = 4^2 + 4

Evaluate

f(4) = 20

Hence, the value of f(g(7)) is 20

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In stats would a test looking at gender & holiday preference would I do a Chi-squared test? Which is the explanatory & which is the response variable?

Any help provided is appreciated. Thanks!

Answers

In statistics, a Chi-squared test may be used to determine holiday choice and gender and α (alpha) is the response variable.

What is the Chi-squared test?

A statistical technique called the chi-square test is used to compare actual outcomes with predictions.

The goal of this test is to establish if a discrepancy between actual and predicted data is the result of chance or a correlation between the variables you are researching.

Whether there is a statistically significant association between categorical variables is determined by the Chi-square test of independence.

This issue is addressed by a hypothesis test. The chi-square test of association is another name for this assessment.

Hence,in stats would a test looking at gender & holiday preference yes you can do  a Chi-squared test and α(alpha) is the response variable.

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Which answer is correct?

Answers

The reason that would support that is ∠B ≅ ∠B , the reflective property of equality.

What are similar triangles?

Similar triangles are triangles that have their corresponding angles equal and the ratio of their corresponding lengths also equal.

Analysis:

triangle BDE and BAC share the same angle B

which means ∠DBE = ∠ABC.

The reflective property of equality says a number is always equal to itself. Therefore, ∠B ≅ ∠B

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Simplify:
(12+14) x 8+ (8² +4²) =

Answers

Answer:

288

Step-by-step explanation:

[tex]26 * 8+(2^{6} +2^{4} )\\\\208+(64+16)\\208+80[/tex]

Answer:

288

Step-by-step explanation:

PEMDAS

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Parentheses and Exponents:

(26) x 8+(64+16)          (28) x 8+(80)

Multiplication:

26 x 8 + 80       208+80

Addition:

208+80= 288

which expressions are equivalent to 3x

Answers

x is powering both numbers so it can be outside the parenthesis.

We have given that 3^x.

What is the expression?

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

The first one isn't an answer because 3^x is exponential while x^3 is a cubic function.

If you draw them you will see that they are very different.

B is correct because we can divide both numerator and denominator by 6 and we get 3^x.

C is not correct because x is not powering 3 so we cannot divide both by 6D is correct because 3^(x-1) is the same as

and when multiplied by 3 we get 3^x

3^x*3^(-1) = 3^x/3

E is not correct.

will understand after the explanation in DF is correct.

x is powering both numbers so it can be outside the parenthesis.

The question is incomplete the complete question is,

Which expressions are equivalent to the one below? Check all that apply.

3^x

A. x^3

B.(18/6)^x

C.18^x/3

D.3(3^(x-1))

E.3(3^(x+1))

F.18^x/6^x

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Vernon Taber deposits $600 into an ordinary annuity after each quarter for 4 years. The account pays 4% interest compounded quarterly. Find the a) future value, and b) total interest earned.

Answers

The future value is $10,354.72.

The total interest earned is $754.72.

What is the future value and the interest earned?

When an amount is compounded quarterly, it means that both the amount deposited and interest already earned increases in value every quarter.

The future value = quarterly deposit x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = interest rate = 4% / 4 = 1%n = number of years = 4 x 4 = 16

Annuity factor = [1.01^16) - 1 ] / 0.01 = 17.26

17.26 x 600 = $10,354.72

Total interest earned = future value - total amount deposited

Total amount deposited  = $600 X 4 X 4 = 9600

$10,354.72 - 9600 = $754.72

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A particular sawdust pile has a base diameter of 25 feet when the height is 20 feet. Find the volume of this sawdust pile when it is 30 feet high.

Answers

The volume of the sawdust pile is 11,039.06 ft³.

What is the volume of the pile?

The shape of the sawdust pile would be a cone. The diameter is always proportional to its height.

Diameter = k x height

where k is equivalent to the rate of increase of the diameter with respect to the increase in height.

25= k20

k = 25 / 20

k = 1.25

Diameter when height is 30 ft = 1.25x 30 = 35.50 feet

Volume of the sawdust = [tex]\frac{1}{3}[/tex]πr²h

Where:

π = 3.14 r = radius = diameter / 2 = 35.50 / 2 = 18.75h = 30

[tex]\frac{1}{3}[/tex] x 3.14 x 18.75² x 30 = 11,039.06 ft³

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Volume (to the nearest tenth)

Answers

Answer:

913

Step-by-step explanation:

cylinder:

radius=5.6 height=7

first lets find the volume of the cylinder the formula for the volume of a cylinder is pi times radius squared times height. so after plugging in the height and radius you get 689.64242

cone:

radius=5.6 height=6.8

now the volume of the cone, the formula for the volume of a cone is pi times radius squared times height/3. so after plugging in the height and radius of the cone you get 223.31278

so 689.64242 + 223.31278= 912.9552 and that rounded to the nearest tenth is 913

In survey of 100 students in the institute of Language Studies at Addis Ababa University,
the numbers of students studying various languages were found to be English 28,
Amharic 30, Afan Oromo 42, English and Afan Oromo 10, English and Amharic 8,
Amharic and Afan Oromo 5, and all the three languages 3. How many students
a. were studying none of the languages?
b. had Afan Oromo as their only language?
c. studied Amharic if they studied Afan Oromo?​

Answers

Answer:

a. 17

b. 30

c. 5

Step-by-step explanation:

English (E) = 28 - 15 (10+8-3) = 13

Amharic (A) = 30 - 10 (8+5-3) = 20

Afan Oromo (AO) = 42 - 12(10+5-3) = 30

E+AO = 10

E + A = 8

A + AO = 5

A + AO + E = 3

a. 13 people spoke just English+ 20 people who just spoke Amharic + 30 people who just spoke Afan Oromo+ The multilingual people (10+8+5-3=20) which is 83, so that means that 17 learned no language.

b. 42 People learned Afan Oromo, but only 30 of them learned that language separately. 10 People learned it along with English, and 5 learned it with Amharic. However, 3 of those people were the same, so 12 people of those 42 spoke multiple languages. Therefore, only 30 people spoke just Afan Oromo.

c. This one is kinda just a trick question, they want you to overthink it because of the 3 who learned all, but it's just 5 like it says in the question.

What is the range of the averages in this class? histogram group of answer choices 65 points 80 points 30 points none of the above

Answers

The range of the averages in a class with a maximum point of 100 point and a minimum point of 20 point is 80 points

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Range is the difference between the maximum value and minimum value of a data set. Hence:

Range = Maximum - Minimum

Let us assume that the maximum point is 100 point and the minimum point is 20 point, hence:

Range = 100 - 20 = 80 points

The range of the averages in a class with a maximum point of 100 point and a minimum point of 20 point is 80 points

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If f(x) is a linear function, what is the value of n?X-4-1n2O 40509f(x)-25-1020 Not trying to be rude or demeaning. But Ive heard people compare Autistic people to sociopaths. I want to know the correct way to tell them thats not true The total surface area of a closed cylinder is 5000 cm2 find the dimensions of the cylinder that maximize its volume and state this maximum volume. verify that it is a maximum point. Please help me guys Fast Twenty children were surveyed about the number of hours they play outside in 1 week. The results are shown below.6, 5, 4, 3, 0, 7, 1, 5, 4, 4, 3, 2, 2, 3, 2, 4, 3, 4, 0, 7Complete and upload the frequency table below and create a histogram to display this data. Make sure there is only 4 intervals. Taryn tells you about the one time Randy Beman drove her to a party andran out of gas. Since that time, she often describes Randy Beman as anunreliable person. However, the time when she ran out of gas on the wayto school, it was because she was too tired to remember to fill the tank.Taryn's story is an example of______ at work.O the Fundamental Attribution ErrorO a self-fulfilling prophesyO an objective analysisO selective memory Calculate the 2 year annuity factor if the required rate of return is 10%.1.7360.0910.8262.486 What should food workers use to touch food from display cases An information system will be developed to keep track of a utility company's assets, such as buildings, vehicles, and equipment. As new asset information becomes available, staff working in the field can update it using mobile devices. This system should integrate several existing asset databases that the company has. Based on the generic information system architecture shown in Figure 6.18 of the recommended key text, page 187, create a layered architecture for this asset management system. During the Second Industrial Revolution, which system of production dominated in factories?a system in which products were made slowly by handa system in which products were made rapidly by machinesa system in which products were made rapidly by handa system in which products were made using specialized tools. What details did Desai include that reflect her own experiences growing up that are specific to India? How mightthese details reflect Desai's perspective on her childhood? The table shows the educational attainment of the population of Mars, ages 25 and over, expressed in millions. Find the probability that a randomly selected martian, aged 25 and over has completed four years of high school only or is a male. The probability is? Ferpa regulations require that local education agencies provide parents and eligible students with:. HELP FAST! What is the equation of the line graphed?(y=mx+b) PLS HELP!!A Three-Point TurnChapter 1"You know, hardly anyone ever needs to do a three-point turn anymore," said Justin, trying to help Becky calm down."Oh, so it's not a useful skill AND I am probably going to fail the driving test because I can't do it anyway," Becky said, raising her voice for emphasis. "That should make me feel like a million bucks when I flunk."Justin was riding with Becky so she could take her driving test. He had volunteered for the job because he thought she would be less nervous with him than with their mom, but so far, he wasn't sure he was making any difference."Slow down, your turn is coming up here," he said, looking ahead."I know, I know," she replied, "I've been here before rememberthe last time I flunked."Justin was pretty sure if he had let her miss the turn, things would only have deteriorated further, but he wasn't sure he was fond of being the scapegoat for Becky's anxiety."Listen, you need to take a few deep breaths," he said, hoping he could help her at least relax a bit. "Being nervous won't help you with the three-point turn or anything else you have to do. Hey, did you just take that turn without your turn signal on?" This was going to be harder than he thought."Stop yelling at me," Becky replied, clearly frustrated, "I can't concentrate.""Look, you need to stop and get yourself together here," Justin started. "It is not just about passing the driving test. I don't want to get in an accident, so pull into that parking lot."Becky drove into the office building's parking lot where Justin was pointing. Justin knew they were less than a mile from the licensing office, and if she continued in this condition, he'd be having this same discussion three months from now when she tried the test again for the third time."You need to get a grip," he started after she put the car in park, "because you have studied and practiced driving all year. You know this stuff inside and out, backwards and forwards. What are you so nervous about?""I don't know, I don't know," Becky wailed, resting her head on the steering wheel. "I just get so tired of failing."Listening quietly as Becky sobbed, Justin realized this was about much more than a driving test. He also knew if he didn't find a way to help Becky things would just get worse.Chapter 2Justin took a deep breath and collected his thoughts. Becky was an unbelievably consistent straight-A student. It was Justin who got the bad grades in school, and Justin who had to repeat every math class he'd ever taken. It was Justin who wished he could get the grades Becky got. Some things came easier for Justin: He was athletic, handy with tools, and good at making the best of whatever life threw at him. Mom called him her "lemons into lemonade" kid. But for the most part, Becky succeeded easily, whereas Justin had to work and work to just get a passing grade.Rather than having Becky catalogue all the things she supposedly "failed" at, Justin decided to try an alternative approach, one that wouldn't remind him of all the ways he had failed."Okay, Becky, let's assume for a moment you fail this test again. What is the worst thing that could happen?" he asked."I would be the oldest kid at school without a license and be humiliated," she replied. Justin thought he heard a bit of panic in her voice but continued with his plan."Yes, but won't we still have to drive to school together for at least one more year anyway?" he asked."Yes, but..." she started."And who will know, if you don't tell anyone except your friends, that you don't have your license? You know Mom can't afford another car just for you, right?""Yes," she said quietly."So what difference does it make, really," he said. "Another three months to wait in the grand scheme of your life doesn't seem like all that long, right?""I suppose not," she said.Justin could tell she was breathing more slowly now. "Besides," he said, "I would miss all the practice driving with you," and for good measure he reached over and pinched her arm."Ow," she said, hitting back at him, "that hurt.""So let's go do this, okay?"Okay," she said. Becky cranked up the car, backed slowly out of the parking spot and drove up to the parking lot's exit. Justin noticed, as they waited for the traffic to clear, that she had remembered the turn signal.Read the line below from Chapter 1:"I don't know, I don't know," Becky wailed, resting her head on the steering wheel. "I just get so tired of failing."In the rest of the story, readers learn that Becky's fears are about things other than failing. Write a short essay explaining how the dialogue develops these fears. Jacinta is conducting research examining how using a cell phone affects driving ability. She predicts that using a cell phone with a hands-free device will cause less distraction than using a cell phone while holding it. Jacinta's prediction about the outcome of her research is an example of a(n) ________ Solve for x in the following equation:42x-5=23x+7O x=-17O x=-12O x = 12Ox=17 Review the information from the link here, then answer the questions provided.The___hemisphere controls verbal processing, including reading, writing, and speech.The___hemisphere controls nonverbal processing, including spatial, musical, and visual tasks.The___lobe is responsible for speaking, muscle movements, and making plans and judgments.The___lobe receives and processes information from the visual fields. Choose the most convenient method to graph the line y=13x+5Select the correct answer below:Recognize the equation as that of a vertical line passing through the x-axis at 5Recognize the equation as that of a horizontal line passing through the y-axis at 5Identify the slope and y-intercept and then graphFind the x- and y-intercepts and then graph Then what is the value of x?