Suppose that in a certain​ community, the probability of a randomly selected individual having red hair is 0.08 and the probability of a randomly selected individual being​ left-handed is 0.15. What additional information would be needed to find the probability of randomly selecting an individual in this community who has red hair or is​ left-handed?

Answers

Answer 1

The probability of randomly selecting an individual in this community who has red hair or is​ left-handed is 0.23

The probability of an event refers to the likelihood of the event occurring, expressed as a number between 0 and 1.

In other words, the probability of the union of two events can be expressed as follows:

P(A or B) = P(A) + P(B) - P(A and B)

Where A represents the event of having red hair, B represents the event of being left-handed, and P(A and B) represents the probability of the intersection of the two events. In this case, P(A) = 0.08 and P(B) = 0.15.

Therefore, to find the probability of a randomly selected individual in this community who has red hair or is left-handed, we would need to know the probability of the intersection of the two events, P(A and B).

This would allow us to subtract it from the sum of the individual probabilities, P(A) + P(B), to find the total probability of having red hair or being left-handed.

=> P(A) + P(B) = 0.08 + 0.15 = 0.23

In conclusion, to find the probability of having red hair or being left-handed in this community, we would need to know the probability of the intersection of the two events, P(A and B).

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Related Questions

Identify the surface with the given vector equation. r(s, t) = (s cos(t), s sin(t), s) circular paraboloid O elliptic cone O hyperbolic paraboloid O plane O circular cone X

Answers

The surface with the given vector equation, r(s, t) = (s cos(t), s sin(t), s), is a circular cone.

The vector equation r(s, t) = (s cos(t), s sin(t), s) represents a surface in three-dimensional space. Let's analyze the equation to determine the nature of the surface.

In the equation, we have three components: s, cos(t), and sin(t). The presence of s indicates that the surface expands or contracts radially from a central point. The trigonometric functions cos(t) and sin(t) determine the angle at which the surface extends in the x and y directions.

By observing the equation closely, we can see that as s increases, the radius of the surface expands uniformly in all directions, while the height remains constant. This behavior is characteristic of a circular cone. The circular base of the cone is defined by s cos(t) and s sin(t), and the vertical component is determined by s.

Therefore, the surface described by the vector equation r(s, t) = (s cos(t), s sin(t), s) is a circular cone.

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$13.50 discounted 75%

Answers

Answer: 75% of $13.50 is 10.125

Step-by-step explanation:

Answer:

10.125

Step-by-step explanation:

13.50 x .75 = 10.25

Q4 - Exam prep: Missing values
Audrey measures all 7 pencils in her pencil case and writes the first 6 lengths down.
12.4 cm, 12.6 cm, 13 cm, 13.4 cm, 13.5 cm, 13.3 cm
Audrey calculates the mean length of all 7 pencils to be 13.1 cm.
Find the length of the missing pencil.
cm
[2]

Answers

Answer:

the missing pencil length is 13.5 cm

Step-by-step explanation:

The computation of the length of the missing pencil is shown below:

Let us assume the missing pencil be x

Now

(12.4 cm + 12.6 cm + 13 cm + 13.4 cm + 13.5 cm + 13.3 cm + x) ÷ 7 = 13.1 cm

(78.2 cm + x) ÷ 7 = 13.1 cm

78.2 cm + x = 91.7 m

So, x would be

= 91.7 cm - 78.2 cm

= 13.5 cm

hence, the missing pencil length is 13.5 cm

a has the coordinates (–4, 3) and b has the coordinates (4, 4). if do,1/2(x, y) is a dilation of △abc, what is true about the image △a'b'c'? check all that apply.
AB is parallel to A'B'.
DO,1/2(x, y) = (1/2x, 1/2y)
The distance from A' to the origin is half the distance from A to the origin.
The vertices of the image are farther from the origin than those of the pre-image.
A'B' is greater than AB.

Answers

The correct option is: AB is parallel to A'B', DO,1/2(x, y) = (1/2x, 1/2y), and The distance from A' to the origin is half the distance from A to the origin.

The pre-image is △ABC with A(-4, 3), B(4, 4), and C(2, -1).

We have to create the image △A'B'C' using the dilation transformation DO,1/2(x, y) = (1/2x, 1/2y). Here, we have to apply DO,1/2 on the points A, B, and C to get the coordinates of A', B', and C'.DO,1/2 on A:

For A, x = -4 and y = 3.

Thus, DO,1/2(-4, 3) = (1/2 × (-4), 1/2 × 3)= (-2, 1.5)

Therefore, A' has coordinates (-2, 1.5)DO,1/2 on B:For B, x = 4 and y = 4. Thus,DO,1/2(4, 4) = (1/2 × 4, 1/2 × 4)=(2, 2)

Therefore, B' has coordinates (2, 2)DO,1/2 on C:For C, x = 2 and y = -1. Thus,DO,1/2(2, -1) = (1/2 × 2, 1/2 × -1)=(1, -0.5)

Therefore, C' has coordinates (1, -0.5).

Now, let's see which of the given statements are true about the image △A'B'C'.

AB is parallel to A'B'For △ABC and △A'B'C',AB and A'B' are parallel lines. Hence, this statement is true.

DO,1/2(x, y) = (1/2x, 1/2y)

The transformation DO,1/2 reduces the distance from the origin to half for every point in the image. Hence, this statement is true. The distance from A' to the origin is half the distance from A to the origin. We can use the distance formula to calculate the distance between two points. Here, we can use it to find the distance between A and the origin and the distance between A' and the origin.

Then, we can check whether the distance between A' and the origin is half the distance between A and the origin. Distance between A and the origin:

OA = √[(-4 - 0)² + (3 - 0)²]= √(16 + 9) = √25 = 5

Distance between A' and the origin:

OA' = √[(-2 - 0)² + (1.5 - 0)²]= √(4 + 2.25) = √6.25 = 2.5

Now, we can see that the distance between A' and the origin is half the distance between A and the origin. Hence, this statement is true.The vertices of the image are farther from the origin than those of the pre-image.

We can see that the vertices of the image △A'B'C' are closer to the origin than those of the pre-image △ABC.

Hence, this statement is false. A'B' is greater than AB. We can use the distance formula to calculate the length of AB and A'B' and check whether A'B' is greater than AB.

Length of AB:

AB = √[(4 - (-4))² + (4 - 3)²]= √(64 + 1) = √65

Length of A'B':

A'B' = √[(2 - (-2))² + (2 - 1.5)²]= √(16 + 0.25) = √16.25.

Now, we can see that A'B' is greater than AB. Hence, this statement is true. Therefore, the options that are true are AB is parallel to A'B', DO,1/2(x, y) = (1/2x, 1/2y), and The distance from A' to the origin is half the distance from A to the origin.

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Irma opened a servings account and deposited $1,000.00 as principal. the account earns 3% interest, compounded annually. what is the balance after 4 years?

Irma opened a servings account and deposited $1,000.00 as principal. the account earns 3% interest, compounded

Answers

Step 1: Problem

Compound interest

Step 2: Concept

\(\begin{gathered} A=P(1+r)^t \\ A\text{ = amount or balance or future value} \\ P\text{ = principal} \\ r\text{ = rate} \\ t\text{ = time} \end{gathered}\)

Step 3: Method

A = ?

r = 3% = 3/100 = 0.03

t = 4 years

P = $ 1,000

\(\begin{gathered} A=P(1+r)^t \\ A=1000(1+0.03)^4 \\ A\text{ = 1000 }\times1.03^4 \\ A\text{ = 1000 X 1.1255} \\ A\text{ = \$1125.5} \end{gathered}\)

Jeremy bakes two pans of brownies that are the same size. One pan has nuts in it and the other pan does not. He cuts the pan with nuts into 8 equal pieces. He cuts the pan without nuts into 16 equal pieces. His friends eat 2 brownies with nuts and 3 brownies without nuts. Did they eat more of the brownies with nuts or without nuts?

Answers

Answer:

The answer is "\(\frac{2}{8} > \frac{3}{16}\) So, they eat more brownies with nuts".

Step-by-step explanation:

In the given question, the two browny pans of equal size are baked by Jeremy. There is indeed a saucepan with nuts in it, not the other pan. He split the pot into eight equal chunks with nuts. He slices the pan into 16 equal parts without nuts. His mates eat 2 nuts brownies and three nut-free brownies. They eat more nuts and brownies \(\frac{2}{8} > \frac{3}{16}\) eat more.

You measure the length of the same side of a block five times and each measurement has an uncertainty of Δ
b = 0.1 mm. What is the uncertainty in the best estimate for b?

Answers

The uncertainty in the best estimate for the length of the side of the block is approximately 0.0447 mm.

To determine the uncertainty in the best estimate for the length of the block side, we can consider the range of values obtained from the measurements. Since the uncertainty represents the possible deviation from the true value, the range of measurements can be used to estimate the uncertainty in the best estimate

To find the standard deviation represents the average amount of variation or spread among the measurements , we use the formula σ = Δb / √n, where σ is the standard deviation, Δb is the uncertainty in each measurement, and n is the number of measurements.

In this case, Δb = 0.1 mm and n = 5. Plugging these values into the formula, we get σ = 0.1 / √5 ≈ 0.0447 mm.

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The rain gauge shows 3 centimeters of rainwater.

Which of the equations below gives the height, h, if it rains at a rate of 0.25 centimeters per hour after t hours? Hint: the h is the "y" and the t is replacing "x"


A. h=0.25t+3h is equal to 0 point 2 5 t plus 3

B. h=3t+0.25h is equal to 3 t plus 0 point 2 5

C. t=0.25h+3t is equal to 0 point 2 5 h plus 3

D. t=3h+0.25

Answers

Answer:

h=0.25t+3

Step-by-step explanation:

y=mx+b

y=0.25x+3

replace y with h and x with t

h=0.25t+3

to add or subtract radical expressions, put each in ___________and apply the ____________property, if possible. we can add only __________radicals, which are radicals with the same_________ index and the same . we must write each expression in simplified form for radicals before we can tell if the______ are similar.

Answers

To add or subtract radical expressions, put each in simplest form and apply the distributive property, if possible.

We can add only like radicals, which are radicals with the same index and the same radicand. We must write each expression in simplified form for radicals before we can tell if the radicals are similar.
To add or subtract radical expressions, put each in simplified form and apply the distributive property, if possible. We can add only like radicals, which are radicals with the same index and the same radicand. We must write each expression in simplified form for radicals before we can tell if the terms are similar.

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Question: The equation Cost = number of toppings x 3 +2 represents... *

ANSWER #1 The store charges $3 for a pizza and then adds on $2 for every topping added

ANSWER#2 The store charges $2 for a pizza and then adds on $3 for every topping added

ANSWER #3 The store charges $3 for a pizza no matter how many toppings you add on

ANSWER #4 The store charges $2 for a pizza no matter how many toppings you add on

Answers

Answer: the answer would be

ANSWER#2 The store charges $2 for a pizza and then adds on $3 for every topping added

assuming that the equation is The equation Cost = 3(number of toppings ) +2 that means that its the number of toppings times 3, so 3 dollars for every topping and than the additonal 2 dollars for the pizza cost

....and dang, I wish i could get a two dollar pizza :(

All of the following situations can be
represented by the integer 10, except
which one?
A A balloon rises 10 ft into the air
B the stock market gains 10 points
C The town lies 10 ft below sea level
D Jon received a gift of $10

Answers

Answer:

b

Step-by-step explanation:

An integer is a whole number

If the stock market gains by 10 basis points. It means that it increases by (0.0001 x 10) = 0.001% or 0.00001

this is a decimal and not an integer

Given cosθ= -\(\frac{7}{9}\) and tanθ<0, find sin2θ

Answers

\( \sin {}^{2} (x) + {cos}^{2} (x) = 1\)

\( {sin}^{2} (x) = 1 - {cos}^{2} (x)\)

\( {sin}^{2} (x) = 1 - ({ \frac{ - 7}{9} })^{2} \\ \)

\( {sin}^{2} (x) = 1 - \frac{49}{81} \\ \)

\( {sin}^{2} (x) = \frac{81}{81} - \frac{49}{81} \\ \)

\( {sin}^{2} (x) = \frac{32}{81} \\ \)

\( \sin(x) = ± \sqrt{ \frac{32}{81} } \\ \)

_____________________________________________

\( \tan(x) < 0 \: \: \: and \: \cos(x) < 0\)

Thus :

\( \sin(x) > 0\)

So we have :

\( \sin(x) = + \sqrt{ \frac{32}{81} } \\ \)

\( \sin(x) = \frac{ \sqrt{16 \times 2} }{ \sqrt{9 \times 9} } \\ \)

\( \sin(x) = \frac{4 \sqrt{2} }{9} \\ \)

_____________________________________________

\( \sin(2x) = 2 \times \sin(x) \times \cos(x) \)

\( \sin(2x) = 2 \times \frac{4 \sqrt{2} }{9} \times ( - \frac{7}{9} ) \\ \)

\( \sin(2x) = - \frac{56 \sqrt{2} }{81} \\ \)

5. Drew had $48 in his savings account. Each
week he added $8 to his account. Stacie had
$87 in her account. Each week she took $5
out. After how many weeks will they have the
same amount of money in their savings
accounts?

Answers

Answer:

13 weeks

Step-by-step explanation:

5 times 13= 65 +87= 152

8 times 13 = 104+58=152

Answer:

Week 4

You have to make a function table.

‐3×‐5=16 × = what is the answer​

Answers

Answer:

The equation is not equal

Step-by-step explanation:

\(-3*-5=16*\\15\neq 16\)

which number is the smallest
a. 1.28x10-^4
b.2.85x10-^6
c.3.24x10-^5
d.5.48x10-^8

Answers

Answer: I think so A because it being multiple by 10 and u can get 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because it has the smallest power

Another question!

Solve the equation 12 - 2(3H) = -18 for H

Answers

Answer:

H is gonna be equivalent to 5

Pleaseee helpp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Pleaseee helpp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

8.9

Step-by-step explanation:

\(d=\sqrt{(-7+3)^2+(-6-2)^2}\)

\(=\sqrt{16+64}\\=\sqrt{80}\)

=8.9

Does anyone know the answers this is Gina Wilson

Does anyone know the answers this is Gina Wilson

Answers

Answer:yes

Step-by-step explanation:

(x^\frac{1}{2} +1)(x^\frac{1}{2} -1)
\((x^\frac{1}{2} +1)(x^\frac{1}{2} -1)\)

Answers

Answer:

x-1

Step-by-step explanation:

To simplify the expression (x^(1/2) + 1)(x^(1/2) - 1), we can use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b).

In this case, let's rewrite the expression as follows:

(x^(1/2) + 1)(x^(1/2) - 1) = [(x^(1/2))^2 - 1^2]

Using the difference of squares formula, we have:

[(x^(1/2))^2 - 1^2] = (x^(1/2) + 1)(x^(1/2) - 1)

Therefore, the simplified expression is x - 1.

The diameter of a circle is 10cm find the circumference to the nearest tenth

Answer c= Cm

Answers

Answer:

31.4 cm

Step-by-step explanation:

Circumference of circle = D x π

D = 10 cm

π = 3.14

Let's solve

10 x 3.14 = 31.4 cm

So, the circumference of the circle is 31.4 cm

PLEASR HELP TODAY WHIEVER GIVES ANSWER GWTS BRAINLEST

PLEASR HELP TODAY WHIEVER GIVES ANSWER GWTS BRAINLEST

Answers

The angle measures are given as follows:

m < 5 = 75º.m < 11 = 75º.m < 16 = 65º.

How to obtain the angle measures?

Angles 5 and 8 form a linear pair, hence they are supplementary, meaning that the mesure of angle 5 is given as follows:

m < 5 + m < 8 = 180º

m < 5 + 105º = 180º

m < 5 = 75º.

Angles 5 and 11 are alternate exterior angles, hence they are congruent and the measure of angle 11 is given as follows:

m < 11 = 75º.

Angles 1 and 13 are corresponding angles, meaning that they are congruent, hence the measure of angle 13 is given as follows:

m < 13 = 115º.

Angles 13 and 16 form a linear pair, hence they are supplementary, meaning that the mesure of angle 16 is given as follows:

m < 13 + m < 16 = 180º

m < 16 = 180º - 115º

m < 16 = 65º.

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a person pays $1 to play a certain game by rolling a single die once. if a 1 or 2 comes up, the person wins nothing. if, however, the player rolls a 3, 4, 5, or 6 he or she wins the difference between the number rolled and $1. find the expectation of this game. is the game fair?

Answers

A person pays $1 to play a certain game by rolling a single die once. if a 1 or 2 comes up, the person wins nothing. if, however, the player rolls a 3, 4, 5, or 6 he or she wins the difference between the number rolled and $1, this means that the game is not fair, based on the expected value

How do we determine the expected value of the game?

We can see that the expected value of the game can be found by multiplying each payout by its probability of occurring and then summing up the results:Expected value = (0.2)($1) + (0.2)($1) + (0.2)($2) + (0.2)($3) + (0.2)($4) + (0.2)($0) + (0.2)($0)Expected value = $0.40 Since the expected value of the game is positive, it means that, over the long run, players are expected to make money on average. This means that the game is not fair.

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Solve for X pls due ASAP

Solve for X pls due ASAP

Answers

Answer:

Step-by-step explanation:

take x as reference angle

using sin rule

sin x = opposite / hypotenuse

sin x = 20 / 36

sin x = 0.55

x = \(sin^{-1} (0.55)\)

x = 33.36

x = 33.4 degree

10x2 − 9y2 is not the difference of two squares.
Identify the correct explanation for this statement.

Answers

Answer:

under root 10 will be possible

( 3y )²

When Nellie Newton hangs at rest in the middle of a clothesline, tensions will be the same in each side of the rope when:

a. the lengths of each rope are the same

b. the angles for both sides of the rope are equal

c. she is in equilibrium

Answers

The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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What is the value of the xX coordinate that is 9 units to the left and 3 units up from (2, –8)?

Answers

Answer:

(-6, -5)

Step-by-step explanation:

If you go left 9 times from 2, it goes to -6. Ex: 2, 1, 0, -1, -2, -3, -4, -5, -6. The same goes for 3 units up from -8.



Harper, Inc., acquires 40 percent of the outstanding voting stock of Kinman Company on January 1, 2020, for $210,000 in cash. The book value of Kinman’s net assets on that date was $400,000, although one of the company’s buildings, with a $60,000 carrying amount, was actually worth $100,000. This building had a 10-year remaining life. Kinman owned a royalty agreement with a 20-year remaining life that was undervalued by $85,000.

Kinman sold inventory with an original cost of $60,000 to Harper during 2020 at a price of $90,000. Harper still held $15,000 (transfer price) of this amount in inventory as of December 31, 2020. These goods are to be sold to outside parties during 2021.

Kinman reported a $40,000 net loss and a $20,000 other comprehensive loss for 2020. The company still manages to declare and pay a $10,000 cash dividend during the year.

During 2021, Kinman reported a $40,000 net income and declared and paid a cash dividend of $12,000. It made additional inventory sales of $80,000 to Harper during the period. The original cost of the merchandise was $50,000. All but 30 percent of this inventory had been resold to outside parties by the end of the 2021 fiscal year.

Required:

Prepare all journal entries for Harper for 2020 and 2021 in connection with this investment. Assume that the equity method is applied. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Do not round intermediate calculations. Round your final answers to the nearest whole number.)

Answers

it requires a detailed analysis of multiple transactions and the preparation of journal entries. This type of task is better suited for an accounting professional who can thoroughly review the provided information and accurately apply the relevant accounting principles.

However, I can provide a general overview of the journal entries that may be required based on the information given:

January 1, 2020:

Debit: Investment in Kinman Company (40% of cash paid)

Credit: Cash (Amount paid for the acquisition)

Recording Equity in Earnings for 2020:

Debit: Investment in Kinman Company (40% of net loss)

Debit: Investment in Kinman Company (40% of other comprehensive loss)

Credit: Equity in Earnings of Kinman Company

December 31, 2020:

Debit: Investment in Kinman Company (40% of dividend received)

Credit: Dividend Income

January 1, 2021:

Debit: Investment in Kinman Company (40% of additional investment)

Credit: Cash

Recording Equity in Earnings for 2021:

Debit: Investment in Kinman Company (40% of net income)

Credit: Equity in Earnings of Kinman Company

December 31, 2021:

Debit: Investment in Kinman Company (40% of dividend received)

Credit: Dividend Income

Please note that the above entries are a general guideline and may not capture all the necessary transactions. It is advisable to consult with an accounting professional or refer to the specific accounting standards applicable in your jurisdiction for a more accurate and comprehensive answer.

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Find the missing measure of each parallelogram.

base= 7m

area = 49m^2

height=?

Answers

7•7=49, which means the height must also be 7m.

Answer:

\(h=7m\)

Step-by-step explanation:

Given,

base= \(7m\)area = \(49m^{2}\)

To Find : Height of the Parallelogram

We find the height by the Formula

\(h=\frac{Area}{base} \\\\h=\frac{49}{7} \\\\h=7m\)

Let B be an ordered basis for vector space V. If x, y eV then (x + y)s = Xs + ys Select one: True O False Let B.C be ordered bases for vector space V and write Ics for the matrix that transforms coordinate vectors from the B to the basis. Then I must be an invertible matrix Select one: O True False Let E, B be ordered bases for R" where is the standard basis and B = (b ..... b.). Then, 182= (b Select one: True O False

Answers

1. The statement "If x, y ∈ V then (x + y)s = Xs + ys" is TRUE. This statement is related to the property of linearity in a vector space.

Given that B is an ordered basis for vector space V, when you add two vectors x and y and then represent their sum with respect to the basis B, it is equivalent to representing x and y separately with respect to the basis B and then adding their coordinates.

2. The statement "I must be an invertible matrix" is true. Ics, the matrix that transforms coordinate vectors from the B to the C basis, must be an invertible matrix. Invertible matrices have a unique inverse, and the existence of the inverse ensures that the transformation between bases can be reversed.



3. The statement "182 = (b" is false. The given information is not sufficient to determine the relationship between the standard basis E and the basis B, represented by (b1,...,bn).

To find the relationship between the two bases, you would need more information about their components or a specific transformation matrix.

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ignoring all other issues, how many pounds of grain supplement should farmer ben feed his cows if the price of milk is $0.20 per pound and the price of grain supplement is $0.70 per pound?

Answers

The most appropriate choice for profit and loss will be given by

Uncle Ben will feed his cows 2 pounds of grain supplement.

What is profit and loss?

If the selling price is more than the cost price, then the difference between the selling price and the cost price will give the profit.

If the selling price is less than the cost price, then the difference between the selling price and the cost price will give the loss.

Here,

For 1 pound

Cost price of grain supplement  = \(0.70 \times 1\)

                                                      = $\($0.70\)

Selling price of milk = \(0.20 \times 5\)

                                 = $\(1\)

Profit = $(\(1 - 0.70\))

         = $0.30

For 2 pounds

Cost price of grain supplement  = \(0.70 \times 2\)

                                                      = $\($1.40\)

Selling price of milk = \(0.20 \times 9\)

                                 = $\(1.80\)

Profit = $(\(1.80 - 1.40\))

         = $0.40

For 3 pounds

Cost price of grain supplement  = \(0.70 \times 3\)

                                                      = $\($2.10\)

Selling price of milk = \(0.20 \times 12.3\)

                                 = $2.46

Profit = $(\(2.46 - 2.10\))

         = $0.36

For 4 pounds

Cost price of grain supplement  = \(0.70 \times 4\)

                                                      = $\($2.80\)

Selling price of milk = \(0.20 \times 15.5\)

                                 = $3.1

Profit = $(\(3.1 - 2.80\))

         = $0.30

For 5 pounds

Cost price of grain supplement  = \(0.70 \times 5\)

                                                      = $\($3.50\)

Selling price of milk = \(0.20 \times 18\)

                                 = $3.60

Profit = $(\(3.60 - 3.50\))

         = $0.10

For 6 pounds

Cost price of grain supplement  = \(0.70 \times 6\)

                                                      = $\($4.20\)

Selling price of milk = \(0.20 \times 20\)

                                 = $4

Loss = $(\(4.20 - 4\))

         = $0.20

For 7 pounds

Cost price of grain supplement  = \(0.70 \times 7\)

                                                      = $\(4.90\)

Selling price of milk = \(0.20 \times 21.5\)

                                 = $\(4.30\)

Loss = $(\(4.90 - 4.30\))

         = $0.60

For 8 pound

Cost price of grain supplement  = \(0.70 \times 8\)

                                                      = $\($5.60\)

Selling price of milk = \(0.20 \times 22.5\)

                                 = $\(4.50\)

Loss = $(\(5.60 - 4.50\))

         = $1.10

For 9 pounds

Cost price of grain supplement  = \(0.70 * 9\)

                                                      = $\(6.30\)

Selling price of milk = \(0.20 * 23\)

                                 = $\(4.60\)

Loss = $(\(6.30 - 4.60\))

         = $1.70

Since profit from 2 pounds of grain supplement is the most, Uncle Ben will feed his cows 2 pounds of grain supplement.

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Complete Question

Farmer Ben knows that feeding a grain supplement to his cows will produce more milkaccording to the following schedule:

ignoring all other issues, how many pounds of grain supplement should farmer ben feed his cows if the price of milk is $0.20 per pound and the price of grain supplement is $0.70 per pound?

The table has been attached here

ignoring all other issues, how many pounds of grain supplement should farmer ben feed his cows if the
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