When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 40 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 3 batteries do not meet specifications. A shipment contains 4000 batteries, and 3% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?

Answers

Answer 1

The probability of accepting the whole shipment is 0.9093. Therefore, almost all such shipments will be accepted.

What is the probability that this whole shipment will be accepted?

The probability that the whole shipment will be accepted is calculated as follows;

First, we calculate the probability of having at most 3 batteries that do not meet specifications out of the 40 randomly tested batteries.

Assuming:

p = probability that a single battery does not meet specifications = 0.03q = probability that a single battery meets specifications = 1 - p = 0.97n = number of batteries tested = 40k = number of batteries that do not meet specifications (at most) = 3

We can use the binomial probability formula to calculate the probability:

[tex]P(X \leq k) = \sum (from\: i = 0 \:to\: k) [(nCi) * p^{i} * q^{(n-i)}][/tex]

P(X ≤ 3) = [(⁴⁰C₀) * (0.03⁰) * (0.97⁴⁰] + [(⁴⁰C₁) * (0.03¹) * (0.97³⁹)] + [(⁴⁰C₂) * (0.03²) * (0.97³⁸)] + [(⁴⁰C₃) * (0.03³) * (0.97³)]

P(X ≤ 3) = 0.9093.

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Related Questions

6.56*10^-7 by 4.86*10^-7

Answers

6.56 × [tex]10^{-7}[/tex] by 4.86×[tex]10^{-7}[/tex] is 3.18816 × [tex]10^{-13}[/tex] is factorize.

To find the product of 6.56 × [tex]10^{-7}[/tex] by 4.86×[tex]10^{-7}[/tex]. The conventions of scientific notation can be applied. To get 31.8816, we must first multiply the coefficients, which are 6.56 and 4.86. The exponents, which are -7 and -7, are then added to provide -14.

The product of 6.56 × [tex]10^{-7}[/tex] by 4.86 × [tex]10^{-7}[/tex] is 3.18816 × [tex]10^{-13}[/tex] This, according to the conventions of scientific notation, can be calculated by multiplying the coefficients and adding the exponents.

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solve x^2+1/2x+_=2+_

Answers

The complete equation is x² + 1/2x -2 = 2 + 2

The given equation can be rewritten as:

x² + (1/2)x + () = 2 + ()

Since the equation involves two missing values, let's consider them one by one.

Solve for the first missing value indicated by (_):

To find the missing value indicated by (_), we equate the quadratic equation to 2:

x² + (1/2)x + (_) = 2

Comparing this with the standard form of a quadratic equation,

ax² + bx + c = 0, we have:

a = 1, b = 1/2, c = (_ - 2)

Using the quadratic formula, x = (-b ± √(b²- 4ac)) / (2a), we can substitute the values:

x = (-(1/2) ± √((1/2)² - 4(1)(_-2))) / (2(1))

x = (-1/2 ± √(1/4 + 8(1)(_-2))) / 2

x = (-1/2 ± √(1/4 + 8(_ - 2))) / 2

Therefore, the first missing value is represented by (_ - 2).

Solve for the second missing value indicated by (_):

To find the missing value indicated by (_), we equate the constant term to 2:

(_) = 2

This indicates that the second missing value is equal to 2.

Putting it all together, the solution to the equation x² + (1/2)x + _ = 2 + _ is:

x = (-1/2 ± √(1/4 + 8(_ - 2))) / 2

with (_ - 2) representing the first missing value, and the second missing value is 2.

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

The value of x is 8 units.

Given that a right triangle, with an altitude dividing the hypotenuse into 4 and 16 units,

The measure of the altitude is x we need to find the measure of the x,

So, according to the definition of similarity,

Their corresponding sides are proportional,

We get,

x / 4 = 16 / x

x² = 4 × 16

x² = 64

x = 8

Hence the value of x is 8 units.

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PLEASE HELP AS SOON AS POSSIBLE !

The diameter, , of a sphere is 14.6. Calculate the sphere's volume, .
Use the value 3.14 for pi , and round your answer to the nearest tenth. (Do not round any intermediate computations.)

Answers

The volume of the sphere, given that the sphere has a diameter of 14.6 mm is 1628.7 mm³

How do i determine the volume of the sphere?

The following data were obtained from the question:

Diameter (D) = 14.6 mmRadius (r) = Diameter (D) / 2 = 14.6 / 2 = 7.3 mmPi (π) = 3.14Volume of sphere =?

The volume of a sphere is giving by the following formula

Volume of sphere = 4/3πr³

Inputting the given parameters, we can obtain the volume of the sphere as follow:

Volume of sphere = (4/3) × 3.14 × 7.3³

Volume of sphere = (4/3) × 3.14 × 389.017

Volume of sphere = 1628.7 mm³

Thus, we can conclude from the above calculation that the volume of the sphere is 1628.7 mm³

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write an explicit formula for an the nth term of the sequence 6, 12, 18

Answers

Answer:

[tex]a_{n}[/tex] = 6n

Step-by-step explanation:

there is a common difference between consecutive terms, that is

12 - 6 = 18 - 12 = 6

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

here a₁ = 6 and d = 6 , then

[tex]a_{n}[/tex] = 6 + 6(n - 1) = 6 + 6n - 6 = 6n

the value stock in 1940 is $1.25. it’s value grows by 7% each year after 1940. write an equation representing the value of the stock V(t), in dollars, t years after 1940

Answers

This equation represents the value of the stock, V(t), in dollars, t years after 1940, taking into account the 7% annual Growth rate V(t) = $1.25 * (1 + 0.07)^t.

The value of the stock, V(t), in dollars, t years after 1940, we can use an exponential growth equation since the stock's value grows by 7% each year after 1940.

formulate the equation step by step:

1. We know that the initial value of the stock in 1940 is $1.25. This initial value serves as the starting point for our equation.

2.We are given that the value of the stock grows by 7% each year. This means that for every year that passes, the stock's value increases by 7% of its previous value.

3. In mathematical terms, if V(0) represents the initial value in 1940 ($1.25), then the value of the stock after t years can be represented as:

V(t) = V(0) * (1 + r)^t,

where r is the growth rate expressed as a decimal (in this case, 7% = 0.07).

4. Plugging in the given values, our equation becomes:

V(t) = $1.25 * (1 + 0.07)^t.

This equation represents the value of the stock, V(t), in dollars, t years after 1940, taking into account the 7% annual growth rate.

For example, if we wanted to find the value of the stock 10 years after 1940, we would substitute t = 10 into the equation:

V(10) = $1.25 * (1 + 0.07)^10.

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Circle the error in the problem and rewrite what the correct step should be

Answers

The error in the problem is given by the equation in step(3). and the value is given by g ( x ) = 2x² + 4x - 4

Given data ,

Let the equation be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = 2 ( x + 1 )² - 6

On simplifying the equation , we get

From the distributive law of multiplication , we get

g ( x ) = 2 ( x + 1 ) ( x + 1 ) - 6

g ( x ) = 2 ( x² + 2x + 1 ) - 6

On further simplification , we get

g ( x ) = 2x² + 4x + 2 - 6

g ( x ) = 2x² + 4x - 4

Therefore, the value of g ( x ) is g ( x ) = 2x² + 4x - 4

Hence , the equation is g ( x ) = 2x² + 4x - 4

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Lucas wants to create a triangle with sides measuring 9 inches 13 inches and 15 inches. He says that more than one triangle is possible given the side lengths. What time about Lucas claim is true?

Answers

The Triangle Inequality Theorem holds for these values, and only one triangle is possible with these side lengths. Lucas' claim is false.

What is Triangle Inequality Theorem ?

According to the Triangle Inequality Theorem, any two triangle sides' sums must be greater than the length of the third side. In other words, the following three inequalities must hold for any three positive numbers, a, b, and c:

a+b>c

a+c>b

b+c>a

In this case, a=9, b=13, and c=15. Let's check if the Triangle Inequality Theorem holds for these values:

9+13>15 (true)

9+15>13 (true)

13+15>9 (true)

Therefore, the Triangle Inequality Theorem holds for these values, and only one triangle is possible with these side lengths.

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Why is ΔABC ~ ΔDEC? Use the drop-down menus to explain your answer. Why is ΔABC ~ ΔDEC? Use the drop-down menus to explain your answer.

Answers

The triangles are similar because they are both right triangles, so they both have an angle that is equals to 90º. They both share a common vertex, <C. So they are similar by the Angle-Angle criterion.

What are similar triangles?

Two triangles are defined as similar triangles when they share these two features listed as follows:

Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.

For this problem, they have two equal angle measures, the right angle and < C, hence the third angle also must be equal, and they are similar by the Angle-Angle criterion.

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Find the missing side length.
1) 10 / ?
2) 24 / 15
( look at photo )

Answers

The answer will be 18. The sides are being added by half of the previous number it seems

please help with this question

Answers

The statistics that always corresponds to the 75th percentile in a distribution include the following: B. Third Quartile.

What is an interquartile range?

In Mathematics and Statistics, IQR is an abbreviation for interquartile range and it can be defined as a measure of the middle 50% of data values when they are ordered from lowest to highest.

Mathematically, interquartile range (IQR) of a data set is the difference between third quartile (Q₃) and the first quartile (Q₁):

IQR = Q₃ - Q₁ = 75th percentile - 25th percentile.

In this context, we can reasonably infer and logically deduce that the 75th percentile in a distribution is always equal to the third quartile.

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Enter the number that belongs in the green box

Answers

The number in the green box is 31.78° .

Given,

Triangle with sides 11 , 12 , 20.

From Cosine Law.

Let △ABC have sides a, b,  c.

Here,

a = 11

b = 20

c = 12

Length of the side opposite vertex A is called a.

Length of the side opposite vertex B is called c.

Length of the side opposite vertex C is called c.

Let θ = ∠C

Then, the Cosine Law says that

c²=a²+b²−2abcosθ.

Substitute the values of a , b , c .

12²  = 11² + 20² - 2 × 11× 20 cosθ

θ = 31.78°

Hence the angle can be found out from cosine law.

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Compare the functions shown below:

f(x)

polynomial graph with x intercepts at negative 3, negative 2, 1, 2, y intercept at negative 12
g(x)

trig graph with points at 0, 3 and pi over 2, 0 and pi, negative 3 and 3 pi over 2, 0 and 2 pi, 3

Over the interval x = 0 to x = 2π
h(x) = 2x3 − 2x2 − 3x + 2


Which function has the most x-intercepts? (2 points)

f(x)

g(x)

h(x)

All three functions have the same number of x-intercepts.

Answers

The function f(x) has the most x-intercepts, with five x-intercepts at -3, -2, 1, 2, and the y-intercept at -12. The function g(x) has only three points given, and therefore cannot be determined how many x-intercepts it has. The function h(x) has at most three x-intercepts, which can be found by graphing or using calculus techniques. Therefore, the correct answer is:

f(x)

Answer:

f(x) has the most x intercepts

Pizza General charges 10 dollars per medium pizza and a 5-dollar delivery fee. Fill in the table to show how much you would pay to get each number of pizzas delivered. Make sure to consider both the cost of the pizzas and the delivery fee.NOWWWWW

Answers

Answer:

Step-by-step explanation:

$15 for one pizza it's simple

What is n^2-11n+10

Please explain step by step and detailed to get the answer

Answers

The value of the expression [tex]n^2 - 11n + 10[/tex] is equivalent to (n - 1)(n - 10).

To find the value of the expression [tex]n^2 - 11n + 10[/tex], we can follow these steps:

Start with the given expression: [tex]n^2 - 11n + 10.[/tex]

Look for any like terms that can be combined. In this case, there are no like terms.

Since there are no like terms, we can simplify further by factoring the expression. We need to find two numbers that multiply to give 10 (the constant term) and add up to -11 (the coefficient of the middle term, which is -11n).

The numbers that satisfy these conditions are -1 and -10, because

(-1) × (-10) = 10 and (-1) + (-10) = -11.

Now we can rewrite the expression using these numbers:

[tex]n^2 - 11n + 10 = (n - 1)(n - 10).[/tex]

So the factored form of the expression is (n - 1)(n - 10).

Therefore, the value of the expression [tex]n^2 - 11n + 10[/tex] is equivalent to (n - 1)(n - 10).

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

The area of the slice of pizza is 25.1 inches squared.

How to find the area of the slice of pizza?

The circular pizza has a diameter of 16 inches. Each slice of pizza have a angle of 45 degrees.

Therefore, the area of the slice of pizza can be calculated as follows:

area of the slice of pizza = ∅ / 360 × πr²

where

r = radius∅ = central angle

Therefore,

r = 16  /2

r = 8 inches

area of the slice of pizza = 45 / 360 × 3.14 × 8²

area of the slice of pizza = 45 / 360 × 3.14 × 64

area of the slice of pizza = 9043.2 / 360

area of the slice of pizza = 25.12 inches²

area of the slice of pizza = 25.1 inches²

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What is the value of x
Enter your answer in the box

Answers

Answer:

x = 8 units

Step-by-step explanation:

Because this is a right triangle, we can find x using the Pythagorean theorem, which is given by:

a^2 + b^2 = c^2, where

a and b are the shorter sides called legs,and c is the longest side called the hypotenuse (always opposite the right angle).

In the triangle, the 6 unit side and the x unit sides are the legs while the 10 unit side is the hypotenuse.

Thus, we can solve for x by plugging in 6 for a and 10 for c in the theorem and solving for a (aka x, simply a in the theorem):

a^2 + 6^2 = 10^2

a^2 + 36 = 100

a^2 = 64

a = 8

x = 8

Thus, x is 8 units.

Please Help 8x + 1
115⁰

Answers

Both the angles are supplementary angles hence the value of x is 8°.

To solve for the value of x in the given scenario, we can use the fact that the interior angles between two parallel lines are supplementary, meaning they add up to 180 degrees.

Given:

Angle 1: (8x + 1)

Angle 2: 115°

Since these two angles are supplementary, we can set up the equation:

(8x + 1) + 115 = 180

Now we can solve for x by simplifying and isolating the variable:

8x + 1 + 115 = 180

8x + 116 = 180

8x = 180 - 116

8x = 64

To isolate x, we divide both sides of the equation by 8:

8x/8 = 64/8

x = 8

Therefore, the value of x is 8.

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Find the value of x to
the nearest whole
number.

Answers

Answer: i'm kind of just guessing, but i think x = 13

Step-by-step explanation:

please don't ask me how i don't know

a trucker is driving on the highway traveling 65 miles per hour write an equation that shows the relationship between the number of hours of highway travel x and the number of miles traveled 7 answer quickly for 20 points!!

Answers

The equation that shows the relationship between the number of hours of highway travel x and the number of miles traveled y is:

y = 65x

Find the area of each regular polygon. Round your
answer to the nearest tenth if necessary.
10.4
661.5
364
O 462.7
533.6
10

Answers

Area of the given heptagon = 364 square unit.

The given figure is regular heptagon,

length of each side = 10

Distance between Centre and edge = 10.4

Since we know that,

A seven-sided polygon with seven angles, seven vertices, and seven edges is known as a heptagon. They may have the same or different length dimensions. It is a closed figure, and a regular heptagon is one with all equal seven sides.

Now,

Perimeter of the given heptagon = 7x10

                                                       = 70

Area of heptagon = perimeter x 10.4/2

                              = 70 x 5.2

                              = 364

Hence,

Area = 364 square unit.

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Help me pls….. I’m confused on this!!!!!

Answers

A truck is being filled with cube-shaped packages that have side lengths of foot, the volume of the part of the truck that is being filled is 34,808 cubic feet.

To discover the finest range of applications that may in shape in the truck, we want to calculate the volume of the truck and divide it by using the quantity of every cube-formed bundle.

The quantity of the truck is given with the aid of the method:

Volume = Length x Width x Height

Volume = 8 ft x 61 ft x 71 ft

Volume = 34,808 cubic toes

The volume of every cube-shaped bundle is given with the aid of the method:

Volume = Side [tex]Length^3[/tex]

Volume = 1 [tex]ft^3[/tex]

Number of packages = Volume of truck / Volume of each package

Number of packages = 34,808 ft^3 / 1 ft^3

Number of packages = 34,808

Thus, the greatest number of packages that can fit in the truck is 34,808.

Volume of the part of the truck being filled = Number of packages x Volume of each package

Volume of the part of the truck being filled = 34,808 x 1 ft^3

Volume of the part of the truck being filled = 34,808 ft^3

Thus, the volume of the part of the truck that is being filled is 34,808 cubic feet.

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30 points !! :) Thank you in advance

Answers

The solutions of the quadratic equation are: x = 1

The x-intercept is x = 1

What is the Solution to the quadratic equations?

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

The y-intercept is the point at which the graph crosses the y-axis and in this case it is: y = 1

The x-intercepts are where the graph touches the x-axis and in this case, it is x = 1

The zeros of the quadratic equation are the x-intercepts and since the curve does not cross, then we can say that the zeros are x = 1 and x = 1 which signifies double root and as such the solution is x = 1

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Name an equation parallel to: y = -2/3 x + 10

Answers

y = -3/2x + 2 . Parallel lines slopes are opposite of each other

Answer: The answer is...

y = -2/3 x + 1

Step-by-step explanation:

The others would have crossed paths with y = -2/3 x + 10

Which three lengths could be the lengths of the sides of a triangle?

Answers

Any three lengths that satisfy the triangle inequality theorem can form the sides of a triangle. The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In order for three lengths to form a triangle, they must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's consider three lengths: a, b, and c.

To determine if they can form a triangle, we need to check the following conditions:

a + b > c

a + c > b

b + c > a

If all three conditions are true, then the lengths a, b, and c can form a triangle.

For example, let's consider the lengths 3, 4, and 5.

3 + 4 > 5 (True)

3 + 5 > 4 (True)

4 + 5 > 3 (True)

Since all three conditions are true, the lengths 3, 4, and 5 can form a triangle.

Therefore, any three lengths that satisfy the triangle inequality theorem can be the lengths of the sides of a triangle.

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Which mathematical statement represents "17 more than a number is 26"?
17>26
On+17-26
17<26
O26+n-17

Answers

The mathematical statement that represents "17 more than a number n is 26" can be written as: n + 17 = 26

Given that a statement we need to convert it into a mathematical statement,

The mathematical statement that represents "17 more than a number n is 26" can be written as:

n + 17 = 26

To solve for n, we can subtract 17 from both sides of the equation:

n + 17 - 17 = 26 - 17

Simplifying the equation gives:

n = 9

Therefore, the number n is 9.

Hence the mathematical statement that represents "17 more than a number n is 26" can be written as: n + 17 = 26

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Each morning, Sleepwell Hotel offers its guests a free continental breakfast with pastries and orange juice. The hotel served 540 gallons of orange juice last year. This year, the hotel served 5% less orange juice than it did the previous year. How much was served this year

Answers

The amount of juice served this year is given as follows:

513 gallons.

How to obtain the amount of juice?

The amount of juice served this year is obtained applying the proportions in the context of the problem.

The amount last year was given as follows:

540 gallons.

The percentage of this year's amount relative to last year's amount is given as follows:

95%, due to the decay of 5%, 100 - 5 = 95%.

Hence the amount of juice served this year is given as follows:

0.95 x 540 = 513 gallons.

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What is the distance between $500 and $-61.63

Answers

Answer: $561.63

Step-by-step explanation: To find the distance you subtract 500 by -61.63

You get the equation 500--61.63

The two negative signs cancel out to become a positive sign

So the new equation is 500+61.63

So the distance is $561.63

Answer:

$561.63

Step-by-step explanation:

To find out the distance between 500 and -61.63 it will be $500-$-61.63. So 500 - (-61.63) becomes 500 + 61.63 because 2 negatives in a row make a positive. So when you do 500+61.63, you'll get 561.63.

1
2
3
4
5
I
Statement
+
ZHKI ZGKH
HJ I GI
H
m2GKH+mZHKI = 180°
m2GKH + m2GKH = 180°
m2GKH = 90°
Reason
Given
Angles forming a linear pair sum to 180°
Definition of congruence

Answers

Answer:

3. Substitution because it said angle HKI = angle GKH, so we substitutioned that angle for the other one. I'm not sure about 4. If you provide us with the answer choices for that one, then I could help

How many degrees must Figure A be rotated counterclockwise around the origin in order to line up with Figure B?
A. 90
B. 180
C. 270
D. 360​

Answers

The number of degrees the Figure A must be rotated counterclockwise around the origin to line up with Figure B is = 270°

Given data ,

Let the number of degrees the Figure A must be rotated counterclockwise around the origin to line up with Figure B be represented as A

Now , the triangle is represented by the figure A with coordinates as

A ( -2 , 3 )

And , the coordinates of the rotated triangle is A' ( 3 , 2 )

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

So , the triangle is rotated 270° counterclockwise rotation

Hence , the rotation is 270° counterclockwise

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if the confidence interval for the difference in population proportions Pi suggests which of the following? o The first population proportion is less than the second. o The two population proportions might be the same. o No comparison can be made between the two population proportions. o The first population proportion is greater than the second. dye trucking raised $190 million in new debt and used this to buy back stock. after the recap, dye's stock price is $9.50. if dye had 90 million shares of stock before the recap, how many shares does it have after the recap? enter your answer in millions. for example, an answer of $1 million should be entered as 1, not 1,000,000. round your answer to the nearest whole number. _____ involve a situation in which possible responses can be interpreted a number of different ways.A. Ambiguous questionsB. Loaded questionsC. Complex questionsD. Double negative questionsE. Double-barreled questions Each section of the spinner shown has the same area. Find the probability of the event. Express your answer as a simplified fraction. Picture of spin wheel with twelve divisions and numbered from 1 to 12. An arrow points toward 2. The colors and numbers of the sectors are as follows: yellow 1, red 2, 3 green, 4 blue, 5 red, 6 yellow, 7 blue, 8 red, 9 green, 10 yellow, 11 red, and 12 blue. The probability of spinning an even number or a prime number is . the term business ethics is sometimes considered an oxymoron because How many times bigger is 12^8 to 12^7. Consider the following limit of Riemann sums of a function f on [a,b]. Identify f and express the limit as a definite integral. n lim (xk) xxi (4,101 Ax: 4-0 k=1 *** The limit, expressed as a def What is the total number of possible 2-element reactive matching networks that could be used to match Zs=10+j15 ohms to ZL=100-j50 ohms? O A. 0O B. 1 O C. 2 O D.3 O E. 4 power to operate low voltage switching systems is supplied by ve Exam ReviewActiveWhat is the value of the expression(24) 238910 The horizontal beam in (Figure 1) weighs 190 N, and its center of gravity is at its center. Part A Find the tension in the cable. Express your answer with the appropriate units. LO1 UA 3) ? listen to exam instructions to answer this question, complete the lab using the information below. you are the it security administrator for a small corporate network. you are performing vulnerability scans on your network. mary is the primary administrator for the network and the only person authorized to perform local administrative actions. the company network security policy requires complex passwords for all users. it is also required that windows firewall is enabled on all workstations. sharing personal files is not allowed. in this lab, your task is to: run a vulnerability scan for the office2 workstation using the security evaluator. a shortcut is located on the taskbar. remediate the vulnerabilities found in the vulnerability report for office2. re-run a vulnerability scan to make sure all of the issues are resolved. Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days. The current population of the colony is known to be 579 mosquitos; that is, PO) = 579. If P (0) = 153 25 A company has a Parts Division which produces parts for product divisions within the company as well as for outside manufacturers. The company's Consumer Products Division has asked the Parts Division to provide it with a new part Production data related to the NEW PART are as follows: Units needed by Consumer Products Division Variable production cost S 20,000 units 12.00 per unit 2.50 per unit Allocated fixed production cost $ Unfortunately, producing the new part requires the same production team within the Parts Division that manufactures an old part for outside customers. Data related to the production and sale of the OLD PART to outside customers are below: Units currently produced & sold 100,000 units 40.00 per unit Selling price S Variable production cost $ 28.00 per unit Variable selling cost S 6.00 per unit Allocated fixed production cost S 1.00 per unit If the Parts Division must reduce production of the old part by 25% in order to produce all of the new part requested by the Consumer Products Division, what would be the minimum transfer price they should be willing to accept assuming there would be no impact to their fixed cost? 18.25 A. S B. $ 19.50 C. $ 22.00 D. S 42.00 E. None of the above. CUCDE (25 points) If y = - M8 Cnxn n=0 is a solution of the differential equation y" + (4x + 1)y' 1y = 0, then its coefficients Cn are related by the equation Cn+2 Cn+1 + Cn. Worldwide, three-fourths of those who die from starvation annually are:a. young womenb. older menc. newbornsd. older womene. children consumers choose which products and services to buy so that they may a. buy the cheapest products independently of their needs b. save money c. maximize their satisfaction d. all of the above a cubic box contains 1,000 g of water. what is the length of one side of the box in meters? explain your reasoning. identify the nucleophilic site in each of the molecules shown N 1,4 The equation of this Find the equation of the tangent line to the curve y = 4 tan x at the point tangent line can be written in the form y mx + b where m is: and where b is: