Independent Practice


Which property justifies the step shown in solving this equation? − y−5=11
−y−5+5=11+5


A.
Multiplication Property of Equality


B.
Addition Property of Equality


C.
Subtraction Property of Equality


D.
Division Property of Equality

Answers

Answer 1

Answer:

B. Addition Property of Equality

Step-by-step explanation:

B addition property of equality


Related Questions

10-3(x+9-10x)



Whats the answer

Answers

= 27x - 17

10 - 3(-9x +9)
10 +27x - 27
-17 + 27x
= 27x - 17

what number is b in algebra

Answers

Answer:

I could be any number.

But it couldn't just be a 'b' it could be other letters. The letters is just a grown up way of saying a missing number. Its like saying:

10+b=11..

11-b=10..

therefore b=1

Does that make sense

It can also mean in the quadratic formula b

Step-by-step explanation:

In algebra, the variable "b" represents an unknown or variable number.

It is used to denote a quantity that can vary or take on different values. The purpose of using variables in algebraic equations is to generalize mathematical relationships and solve problems with unknown quantities. By assigning the letter "b" to a variable, we can manipulate and solve equations using algebraic operations, such as addition, subtraction, multiplication, and division.

The value of "b" can be determined through various methods, such as solving equations, simplifying expressions, or applying mathematical principles. The flexibility of variables like "b" allows us to solve a wide range of problems and analyze mathematical relationships without relying on specific numerical values.

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SIGNS. *
If 2(3.8x – 10) - 2 = -1.2x(3 - 6) + 3x, what does
equal?
A5.5
B-5.5
C22
D-22

Answers

im not smart enough lol

Write a quadratic equation given the x intercepts and other other point. Put steps together. Find the factors. Solve for a by substituting in the extra point. Write the equation in factored form.

Answers

Answer:

This question is clearly incomplete, so i will answer it in a really general way.

Suppose that for a quadratic function, we know that the x-intercepts are a and b.

And we also know that this function passes through the point (c, d).

First a definition, for a n-degree polynomial with the x-intercepts {x₁, x₂, ...,xₙ}  and a leading coefficient K, we can write this polynomial in the factorized form as:

p(x) = K*(x - x₁)*(x - x₂)*...*(x - xₙ)

Now let's do the same for our quadratic function, we can write it as:

f(x) = K*(x - a)*(x - b)

(where a and b are known numbers)

Now we also know that this function passes through the point (c, d)

This means that:

f(c) = d

then:

d = K*(c - a)*(c - b)

With this equation we can find the value of K,

K = d/( (c-a)*(c - b))

Then the quadratic function is:

[tex]f(x) = d\frac{(x-a)}{(c-a)} \frac{(x-b)}{(c-b)}[/tex]

Where again, it is supposed that you know the values of a and b, and also the point (c, d)

8. Somebody said the answer is letter A. I Don't Know the answer

Which properties of equality justify steps c and f?


A. Addition Property of Equality; Division Property of Equality

B. Multiplication Property of Equality; Division Property of Equality

C. Subtraction Property of Equality; Multiplication Property of Equality

D. Addition Property of Equality; Subtraction Property of Equality

Answers

Answer:

D. Addition Property of Equality; Subtraction Property of Equality

Step-by-step explanation:

Answer:

Option C and B

Step-by-step explanation:

In the question step C is 23 + 11 = -11 +(-4x) + 11

which is in the form of a + b = c + a

In step C we have added 11 on both the sides to eliminate 11 from right side of the equation.

property which signifies this step is

Addition property of equality :

In step 'f' expression is

\frac{34}{-4}=\frac{-4x}{-4}

In this step equation has been divided by -4 on both the sides to eliminate 4 from the numerator.

In this step division property of equality has been applied.

Therefore Option C and B are the correct options.

The USA Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool, they moved 2 feet to the right and 4 feet up to create the center of their formation (Point
C). From the center of their formation, they then formed a circle that goes through a point 3 feet to the left and 4 feet up (Point D). What is the equation of the circle?

Select the correct answer chorice below.
(x _ _)^2 _ (y_ _)^2 = _

Answers

[tex]\left(x-2\right)^{2}+\left(y-4\right)^{2}=25[/tex]

Hope this helps!

The equation of circle is [tex](x-2)^{2}+(y-4)^{2} =25[/tex]

Equation of circle:

The equation of circle is given as,

                 [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]

Where [tex](h,k)[/tex] is the coordinate of center and r is radius.

From the given figure,

It is observed that, the center of circular pool is (2, 4)

and radius is 5.

substitute the value of center and radius in above equation.

                  [tex](x-2)^{2}+(y-4)^{2} =5^{2}\\\\(x-2)^{2}+(y-4)^{2} =25[/tex]  

The equation of circle is [tex](x-2)^{2}+(y-4)^{2} =25[/tex]

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Brainlest for correct awnser :D

Answers

Answer:

24 inches

Step-by-step explanation:

Five Number Summary for Percent Obese by State Computer output giving descriptive statistics for the percent of the population that is obese for each of the SOUS states, from the USStates dataset, is given in the table below. Variable Mean StDev Minimum Q Median Qs Maximum Obese 50 31.43 3.82 23.0 28.6 30.9 34.4 39.5 N Click here for the dataset associated with this question, (a) What is the five number summary? The five number summary is :

Answers

The five number summary for the percent of the population that is obese among the SOUS states are Minimum: 23.0, First Quartile (Q1): 28.6, Median: 30.9, Third Quartile (Q3): 34.4, Maximum: 39.5

The five number summary provides a concise summary of the distribution of a dataset, consisting of five key values: minimum, first quartile (Q1), median, third quartile (Q3), and maximum. Let's explain each part using the given information:

Minimum: The minimum value represents the smallest observed value in the dataset. In this case, the minimum value is 23.0. It indicates that the lowest recorded percentage of obesity among the SOUS states is 23.0%.

First Quartile (Q1): The first quartile is the value that divides the dataset into the lower 25% of the data. It represents the 25th percentile of the data. In the table, the first quartile (Q1) is given as 28.6. This means that 25% of the SOUS states have a percentage of obesity lower than or equal to 28.6%.

Median: The median, also known as the second quartile or the 50th percentile, is the middle value of the dataset when it is sorted in ascending order. It represents the point that splits the data into two equal halves. In the table, the median is given as 30.9. This implies that 50% of the SOUS states have a percentage of obesity lower than or equal to 30.9%.

Third Quartile (Q3): The third quartile is the value that divides the dataset into the upper 25% of the data. It represents the 75th percentile of the data. In the table, the third quartile (Q3) is provided as 34.4. This means that 75% of the SOUS states have a percentage of obesity lower than or equal to 34.4%.

Maximum: The maximum value represents the largest observed value in the dataset. In this case, the maximum value is 39.5. It indicates that the highest recorded percentage of obesity among the SOUS states is 39.5%.

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what is the equation to 9x+3° 84°​

Answers

Answer:

the solution to this equation is x = 9°

Step-by-step explanation:

9x + 3 = 84

9x = 84 - 3

9x = 81

x = 81 / 9

x = 9°

Which of the following could be used to calculate the total surface area of the figure?

Answers

Answer:b

Step-by-step explanation:

plsssssssssssssssssssssssssssssss help!!

Answers

Answer:

Look for 75% of 1 1/2, I got 1.125 or 1 1/8

Step-by-step explanation:

Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)
an = ln(8n² + 9) − ln(n² + 9)

Answers

The limit of the sequence as n approaches infinity is ln(8). The sequence converges, and the limit is ln(8).

To determine whether the sequence given by an = ln(8n² + 9) − ln(n² + 9) converges or diverges, we can examine the behavior of the terms as n approaches infinity.

Taking the limit as n approaches infinity, we have:

lim(n→∞) ln(8n² + 9) − ln(n² + 9)

We can simplify this expression using logarithmic properties. The natural logarithm of a quotient is equal to the difference of the logarithms:

= lim(n→∞) ln[(8n² + 9)/(n² + 9)]

Now, let's analyze the behavior of the numerator and denominator as n approaches infinity:

As n becomes larger and larger, the higher-order terms dominate. In this case, the leading term in both the numerator and denominator is n².

In the numerator, 8n² dominates, and in the denominator, n² dominates. Therefore, as n approaches infinity, the ratio (8n² + 9)/(n² + 9) approaches 8.

Taking the natural logarithm of 8, we have ln(8).

Therefore, the limit of the sequence as n approaches infinity is ln(8).

Hence, the sequence converges, and the limit is ln(8).

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Kyle is building a model out of cardboard, as shown below. He needs to construct the top and sides of each section of the model but not the bottom. How many surfaces will Kyle need to find the area of in order to determine how much cardboard he will need? A. 17 B. 14 C. 8 D. 3

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer: its B i did the quiz lol

Step-by-step explanation:

The approximation of I = *(x – 3)ex* dx by composite Trapezoidal rule with n= 4 is: -25.8387 15.4505 -5.1941 4.7846

Answers

The approximation of the integral ∫(x – 3)ex dx by the composite Trapezoidal rule with n = 4 is approximately: -5.1941.

To approximate the integral ∫(x – 3)ex dx using the composite Trapezoidal rule with n = 4, we divide the interval [a, b] into n subintervals of equal width. In this case, we don't have the limits of integration provided, so we'll assume the interval to be [a, b] = [a, a+4] for simplicity.

Let's denote h as the width of each subinterval, given by

[tex]h = (b - a) / n \\= 4 / 4 = 1[/tex]

Using the composite Trapezoidal rule formula, the approximation is given by:

[tex]Approximation = h/2 * [f(a) + 2*f(a + h) + 2*f(a + 2h) + ... + 2*f(a + (n-1)h) + f(b)][/tex]

Now, let's calculate the values of the function at each interval endpoint:

[tex]f(a) = (a - 3)*e^a\\f(a + h) = (a + h - 3)*e^{a + h}\\f(a + 2h) = (a + 2h - 3)*e^{a + 2h}\\f(a + 3h) = (a + 3h - 3)*e^{a + 3h}\\f(b) = (b - 3)*e^b[/tex]

[tex]Approximation = (1/2) * [(a - 3)*e^a + 2*(a + h - 3)*e^{a + h} + 2*(a + 2h - 3)*e^{a + 2h} + 2*(a + 3h - 3)*e^{a + 3h} + (b - 3)*e^b][/tex]

[tex]= -5.1941[/tex]

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Please hurry I need this now !!!

1.What is the positive solution to this equation?
x2 – 12 = -11x
a. -12
b. 12
C. -1
d. 1

Answers

Answer:

b. 12

Step-by-step explanation:

Answer:

either a or d because they are both correct.

Step-by-step explanation:

Why does the moon goes through phases?

A.
The moon rotates around its axis.

B.
The moon revolves around Earth.

C.
Earth rotates around its axis.

D.
Earth revolves around the sun.

Answers

Ccccccc don’t click the link they are hackers

It is because the moon revolves around Earth.

Hope it helps you...

consider trapezoid lmno. what information would verify that lmno is an isosceles trapezoid? check all that apply.
a. LN ≅ MO
b. LN ≅ ON
c. LO ≅ MN
d. ∠l ≅ ∠n
e. ∠l ≅ ∠m

Answers

An isosceles trapezoid LMNO has the side LO is congruent to side MN, the diagonal LN is congruent to diagonal MO, and the angle L is congruent to angle M. Hence correct options are a), c), and e)

Given :

Trapezoid LMNO.

The following are the conditions that show any trapezoid is an isosceles trapezoid:

Condition 1 -- Both the legs are of the same length.

Condition 2 -- The base angles are of the same measure.

Condition 3 -- Diagonals are of the same length.

So, the given trapezoid LMNO is an isosceles trapezoid when:

The side LO is congruent to side MN.

The diagonal LN is congruent to diagonal MO.

The angle L is congruent to angle M.

Therefore, the correct option is a), c), and e).

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Find the Median of the following set of data. (Round to the
nearest tenths place.)
1,1,3,0, 7, 2,0, 3, 1, 6, 8, 1
PLEASE HELP ASAP

Answers

Answer:

12

Step-by-step explanation:

put the numbers in least to greatest. so that would be 0,0,1,1,1,1,2,3,3,6,7,8, then find the one or two. in this case it is two. the medians in the one in the middle

let and be two integers with 0≤<≤100 . suppose you approximate (≤100≤) by ∑=−11! . what is the largest possible error you could make?

Answers

The largest possible error you could make in the given approximation is [tex]1 / (10^11 * 11!)[/tex]

To approximate the value of [tex]e^x[/tex] using the series expansion, we can use the formula:

[tex]e^x[/tex] ≈ ∑ [tex](x^n)/n![/tex]

In this case, we have:

x = -1/10

To find the largest possible error in the approximation, we can consider the next term in the series that we are neglecting:

1 / (10^11 * 11!) = [tex]|x^(n+1) / (n+1)!|[/tex]

For the given approximation, n = 10 (since we are using terms up to n = 10).

Substituting the values, we have:

[tex]|Error|[/tex] = [tex]|(-1/10)^(10+1) / (10+1)!|[/tex]

|Error| =[tex]|(-1/10)^11 / 11!|[/tex]

|Error| =[tex]1 / (10^11 * 11!)[/tex]

Since the value of n is fixed at 10, the largest possible error occurs when x is at its maximum value within the given range (0 ≤ x ≤ 100).

In this case, the maximum value of |Error| would be obtained by using the maximum value of x = 100 in the formula.

|Error| = [tex]1 / (10^11 * 11!)[/tex]

Therefore, the largest possible error you could make in the given approximation is [tex]1 / (10^11 * 11!)[/tex].

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help pleaseeee !!! will b marked brainliest!!!!!!

Answers

Answer:

I think it's the first one

Answer:

to my knowledge I would pick A

y=-4/3x+6; y=2
I need that to be done in subsitution or elimination

Answers

For substitution it would be -4/3 (2) +6 and then you solve!

Rewrite equations:

y=2;y=

−4

3

x+6

Step: Solvey=2for y:

y=2

Step: Substitute2foryiny=

−4

3

x+6:

y=

−4

3

x+6

2=

−4

3

x+6

2+

4

3

x=

−4

3

x+6+

4

3

x(Add 4/3x to both sides)

4

3

x+2=6

4

3

x+2+−2=6+−2(Add -2 to both sides)

4

3

x=4

4

3

x

4

3

=

4

4

3

(Divide both sides by 4/3)

x=3

Answer:

x=3 and y=2

1. Five more than the product of 4 and m a. 4+m+5 b. 4m+5 c.5m+4N​

Answers

Answer:

b. 4m+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

(b − 7)(b + 3). SOLUTION: 4. (4n + 3)(n + 9). SOLUTION: 5. (8h − 1)(2h − 3) ... (m. 2. − 5m + 4)(m. 2. + 7m − 3). SOLUTION: 28. (x. 2. + 5x − 1)(5x. 2. − 6x + 1) ... The value of x must be greater than 4. If x = 4 ... c. SYMBOLIC For a sum of the form a + b, write an expression for the square of the sum. ... Then, for five days,.

I need help with the Pythagorean Theorem

Answers

Answer:

8.4 I think

Step-by-step explanation:

Please don't hate me if I am wrong

Does anyone mind helping me im confused-

Answers

Answer:

Malcolm owes the greatest amount.

Step-by-step explanation:

The question is asking for the amount owed by each person. That just means you take the absolute value of their bank balance if their bank balance is negative. Absolute value is just how far away the number is from zero (basically when a number is negative, you're just making it positive).

Sophia owes $150, Malcolm owes $325, and Oren owes $275.

325 > 275 > 150

Thus Malcolm owes the most, since his amount owed is the highest.

The sides of the base of a right square pyramid are 5 centimeters, and the slant height is 8 centimeters. If the sides of the base and the slant height are each multiplied by 5, by what factor is the surface area multiplied?
A. 5 to 0
B. 5 to 1
C. 5 to 2
D. 5 to 3

Answers

Answer:

A

Step-by-step explanation:

The required surface area is multiplied by a factor of 25 or 5 to 2. Option C is correct.

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,

The lateral surface area of a pyramid is given by the formula:

L = (1/2) * P * l

where P is the perimeter of the base and l is the slant height.
In this case, the perimeter of the base is 5 * 5 = 25 centimeters.

So the lateral surface area of the original pyramid is
L = (1/2) * 5 * 8 = 20 square centimeters.

Total area = 4[20] + 25 = 105

When the sides of the base and the slant height are each multiplied by 5, the new perimeter of the base is 5 * 5 * 5 = 125 centimeters and the new slant height is 8 * 5 = 40 centimeters.

So the lateral surface area of the new pyramid is
L = (1/2) * 25 * 40 = 500 square centimeters.

Total area = 4{500} + 125 = 2125

Therefore, the surface area is multiplied by a factor of 2125/105 = 25.

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Tickets to a hockey game cost $45. You and 3 of your friends decide to go together. how much will your tickets cost all together?

Answers

Answer:

135

Step-by-step explanation:

Well 3 friends and 45 dollars each

45*3=135

In this problem you want to multiply. It would be $45 x 3 friends, so $135 in total ;)

Find the volume of the composite shape to the right to the nearest while number

Answers

U just need to add all the numbers together

okay last one . help

Answers

The answer should be option C!
Answer : The answer is Letter C

Step by step explanation is look closely

(3, 3 3 ) (i) find polar coordinates (r, ) of the point, where r > 0 and 0 ≤ < 2. (r, ) = (ii) find polar coordinates (r, ) of the point, where r < 0 and 0 ≤ < 2. (r, ) =

Answers

(i) the polar coordinates of the point are (6, π/6).

(ii) the polar coordinates of the point are (-6, π/6).

The Cartesian coordinates of the point are given as (3√3, 3). We need to find the polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π and also where r < 0 and 0 ≤ θ < 2π.

To find the polar coordinates (r, θ) of the point, we use the following formulas:

r = √(x² + y²)

θ = tan⁻¹(y/x)

where x and y are the Cartesian coordinates of the point.

(i). For r > 0 and 0 ≤ θ < 2π, we have:

x = 3√3

y = 3

Using the above formulas, we get:

r = √((3√3)² + 3²) = √(27 + 9) = √36 = 6

θ = tan⁻¹(3/3√3) = tan⁻¹(1/√3) = π/6

Therefore, the polar coordinates of the point are (6, π/6).

b. For r < 0 and 0 ≤ θ < 2π, we have:

x = 3√3

y = 3

Using the above formulas, we get:

r = -√((3√3)² + 3²) = -√(27 + 9) = -√36 = -6

θ = tan⁻¹(3/3√3) = tan⁻¹(1/√3) = π/6

Therefore, the polar coordinates of the point are (-6, π/6).

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Given question is incomplete the complete question is incomplete

The Cartesian Coordinates Of A Point Are Given.

(3√3,3)

(i) Find Polar Coordinates (r, θ) Of The Point, Where r>0 And 0≤θ<2π.

(ii) Find Polar Coordinates (r, θ) Of The Point, Where r<0 And 0≤θ<2π.

2 people A and B travel from x and y talong different routes.Their journeys take the same amount of time

Answers

Question:

2 people A and B travel from X to Y along different routes. Their journeys take the same amount of time. B's route is 100km at an average speed of 40km/hour A's route is 60km. What is A's average speed?

Answer:

Person A's average speed is 24km/hr

Step-by-step explanation:

Given

Person B

[tex]Distance = 100km[/tex]

[tex]Speed = 40km/hr[/tex]

Person A

[tex]Distance = 60km[/tex]

Required

Average speed of person A

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

For person B

[tex]40 = \frac{100}{Time}[/tex]

Make Time the subject

[tex]Time= \frac{100}{40}[/tex]

[tex]Time= 2.5hr[/tex]

For person A

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]Speed = \frac{60}{Time}[/tex]

The journeys last for the same duration.

So;

[tex]Speed = \frac{60}{2.5}[/tex]

[tex]Speed = 24[/tex]

Person A's average speed is 24km/hr

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Image is important at BMW, as such in 2021 Boba was provided with a $2,400 clothing What is your investment preferences and how can you justify them considering age, family situation, incomes etc? of the options below, which is the most effective way to explain the major changes and details of a new workplace policy for requesting vacation time? The CS department has received several applications for teaching assistant positions from its students. The applicants are provided with the list of available courses and asked to submit a list of their preferences. The TA committee at UTCS prepares a sorted list of the applicants (according to the applicants' background and experience) for each course and the total number of TAs needed for the course. Note that there are more students than available TA spots. There can also be multiple TAS per course, though a single TA can only be assigned to 1 course. Making matter more complicated, applicants and the committee can be indifferent between certain options. For example, a TA could have Algorithms at the top of their list, a tie between OS and Graphics, and Advanced Underwater Basketweaving in last place. The committee can be in a similar position, e.g. with applicant A being the top pick for a particular class, A2 being the second choice, and A3 and A4 tied for third. We will say that A prefers C to Cliff C is ranked higher than C" on his preference list (i.e. they are not tied). The committee wants to apply an algorithm to produce stable assignments such that each student is assigned to at most one course. The assignment of the TAs to courses is strongly stable if none of the following situations arises. 1. If an applicant A and a course C are not matched, but A prefers C more than his assigned course, and C prefers A more than, at least, one of the applicants assigned to it. 2. If there is unmatched applicant A, and there is a course C with an empty spot or an applicant A' assigned to it such that C prefers A to A'. Your task is to do the following: i Modify the Gale-Shapley algorithm to find a stable assignment for the TAs-Courses matching problem. Write pseudo code of modified algorithm. (5 points) ii Prove that the modified algorithm produces stable TAS- courses assignment MC2 Rajang Inc. made $2,000,000 in credit sales and has $800,000 of accounts receivable at the end of the period. They also have a credit balance of $5,500 in their allowance for doubtful accounts. Rajang Inc. believes that 1% of their net credit sales will be uncollectable. What would they record as their bad debt expense for the period? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a 25,500 b 20,000 14,500 d 8,000 Which choice lists vortices from smallest to largest? (a) suction vortex, tornado, mesocyclone, hurricane, extratropical cyclone (b) suction vortex, mesocyclone, tornado, extratropical cyclone, hurricane (c) tornado, suction vortex, hurricane, mesocyclone, extratropical cyclone (d) extratropical cyclone, hurricane, mesocyclone, suction vortex, tornado (e) mesocyclone, suction vortex, hurricane, tornado, extratropical cyclone A square has an area of 36 m^2. What is the length of each side? Ayeza thinks of investing $10,000 a year in real terms into her investment account for the next four years. The relevant nominal discount rate is 7.5% and the inflation rate is 4.2%. Calculate the real worth of the investment in today's dollars. Suppose that the number of patients arriving at an emergency room is N, each of which is classified into two types (A and B). Type A are those who require assistance in no more than 15 mins and type B no more than 30 mins. It has been estimated that the probability of type A patients that the emergency room receives per day is p. Determine, using conditional expectation properties, on average how many type B patients are seen in the emergency room. A rod on the surface of Jupiters moon Callisto has a volume measured in cubic meters. Write a MATLAB program that will ask the user to type in the volume in cubic meters in order to determine the weight of the rod in units of pounds-force. The specific gravity is 4. 7. Gravitational acceleration on Callisto is 1. 25 meters per second squared. Be sure to report the weight as an integer value z is a standard normal random variable. The P(-1.96 z -1.4) equals a. 0.4192 b. 0.0558 c. 0.8942 d. 0.475 Point Omar is the Head of IT Systems and Applications at AAA corporation. His job has been redesigned to include shifting him between jobs at regular intervals. Specify the job design approach that is used in this case. [Explanation is not required] Use the editor to format your answer OM in the News: Small Manufacturers Giving Up On "Made in China" tags: Ch.2. China, global OM strategy, restoring by Barry Render As costs in China rise and owners look closely at the hassles of using factories 12,000 miles and 12 time zones away, Businessweek (June 25, 2012) reports that many small companies have decided manufacturing overseas isn't worth the trouble, American production is "increasingly competitive," says the head of the Reshoring Initiative, a group trying to bring factory jobs back to the U.S. "In the last two years there's been a dramatic increase in the amount of work returning. Here are 2 examples: For LightSaver, a lighting manufacturer, the decision was simple. Neither of the founders has ever been to China, which made communicating with manufacturers difficult. Components that were shipped from the U.S. sometimes got stuck in customs for weeks. "If we have an issue in manufacturing, in America we can walk down to the plant floor," says the CEO. "We can't do that in China." He believes manufacturing in the U.S. is probably 2-5% cheaper once he takes into account the time and trouble of outsourcing production overseas. Even with strong Mandarin skills, the founder of Pigtronix, which makes electric guitar pedals, discovered that he couldn't monitor quality at Chinese factories. After several years of finding glitches in 30% of the pedals, the company decided to move production to N.Y. Now Pigtronix can run multiple tests on its products and even has a guitarist play each of the 500 to 1,000 pedals it sells monthly before they're shipped. While manufacturing in the U.S. can cost from 3 to 6 times as much as it does in China, Pigtronix benefits from not having capital tied up in products that spend weeks in transit and then pile up in inventory. "In China, you have high minimum quantities you have to order, so you're building a couple thousand of every guitar pedal. Your carrying costs start to get huge. "The bottom line: Although manufacturing in China can cost a third what it does in American factories, small companies are bringing production back to the U.S. Discussion questions: 1. Why is reshoring gaining traction? 2. Why do many companies continue to move production to Asia? 1. (a) Evaluate the following integrals (i) x2x 5 dx x cos 2x dx (ii) x+1 (iii) dx (x+2)(x+3) (3 Marks) Which jazz artist had the most significant influence on vocalists? 1.Elaborate on the concept "Batch Input" as related toaccounting information systems.