Comparative advantage Hours needed to produce one unit
Ukuleles surfboards
Jack 12. 4
Jill 25. 5

11. Is this an output problem or an input problem

12. What is Jacks opportunity cost of producing
1 ukulele? 3

13. What is Jacks opportunity cost of
producing 1 Surfboard?
.3

14. What is jills opportunity cost of producing
1 ukulele?
5

15. What is jills opportunity cost of
producing 1 surfboard?
.2

16. Who has the absolute advantage in
producing ukuleles?
Jill

17. Who has the absolute advantage in
producing surboards?
jack

18. Who has the comparative advantage in
producing ukuleles?
Jill

19. Who has the comparative advantage in
producing Surfboards ?jack

Answers

Answer 1

Answer:

Answer:

11. This is an input problem. The hours needed to produce one unit represent the input required to produce each unit of ukuleles and surfboards.

12. Jack's opportunity cost of producing 1 ukulele is 3 surfboards. This means that if Jack decides to produce 1 ukulele, he foregoes the opportunity to produce 3 surfboards.

13. Jack's opportunity cost of producing 1 surfboard is 0.3 ukuleles. This means that if Jack decides to produce 1 surfboard, he foregoes the opportunity to produce 0.3 ukuleles.

14. Jill's opportunity cost of producing 1 ukulele is 5 surfboards. This means that if Jill decides to produce 1 ukulele, she foregoes the opportunity to produce 5 surfboards.

15. Jill's opportunity cost of producing 1 surfboard is 0.2 ukuleles. This means that if Jill decides to produce 1 surfboard, she foregoes the opportunity to produce 0.2 ukuleles.

16. Jill has the absolute advantage in producing ukuleles because she can produce 1 ukulele in 25 hours, while Jack requires 12 hours to produce 1 ukulele.

17. Jack has the absolute advantage in producing surfboards because he can produce 1 surfboard in 4 hours, while Jill requires 5 hours to produce 1 surfboard.

18. Jill has the comparative advantage in producing ukuleles because her opportunity cost of producing 1 ukulele (5 surfboards) is lower than Jack's opportunity cost of producing 1 ukulele (3 surfboards).

19. Jack has the comparative advantage in producing surfboards because his opportunity cost of producing 1 surfboard (0.3 ukuleles) is lower than Jill's opportunity cost of producing 1 surfboard (0.2 ukuleles).

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20 Points!!! Math Question

Answers

Here is how to do the question,

The Remainder Theorem starts with an unnamed polynomial p(x), where "p(x)" just means "some polynomial p whose variable is x". ... If you get a remainder, you do the multiplication and then add the remainder back in. For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials.

Hope that helps!!!!

Answer:

Remainder Theorem starts with an unnamed polynomial p(x), where p(x) just means "some polynomial p whose variable is x". ... If you get a remainder, you do the multiplication and then add the remainder back in, For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials

Find three consecutive integers such that the sum of twice the smallest and 3 times the largest is 126.

Answers

The addition is one of the four fundamental mathematical operations. The three consecutive terms are 24, 25, 26.

What is Addition?

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Let the first integer be represented by x. Then the other two integers will be (x+1) and (x+2).

Since it is given that the sum of twice the smallest and 3 times the largest is 126. Therefore we can write,

2x + 3(x+2) = 126

2x + 3x + 6 = 126

5x = 126 - 6

5x = 120

x = 120/5

x = 24

Thus, the three consecutive terms are,

x = 24

x + 1 = 25

x + 2 = 26

Hence, the three consecutive terms are 24, 25, and 26.

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x-smallest
y middle
z largest

x+1=y
y+1=z
2x+3z=126

2x+ 3(y+1)=126
2x+3y+3=126
2x+3(x+1)=123
5x=120
x=24

y=25

z=26

14.88 to 12.32 find the ratio

Answers

14.88 to 12.32

14.88 : 12.32. 2 into 14.88 is 7.44, 2 into 12.32 is 6.16

7.44 : 6.16    2 into 7.44 is 3.72, 2 into 6.16 is 3.08

3.72 : 3.08            2 into 3.72 is 1.86, 2 into 3.08 is 1.54

1.86 : 1.54    2 into 1.86 is 0.93, 2 into 1.54 is 0.77

0.93 : 0.77

You can multiply both numbers by 100 to change it whole numbers.

0.93*100 : 0.77*100

93 : 77

A card is chosen from a standard deck of cards. What is the probability that the card is a king, given that the card is black ? A. 1/26 B. 1/13 C. 1/2 D.2/13 And I have another question. A drawer contains 12 brown socks, 8 white socks, and 2 blue socks. One sock is selected at random. What is the probability that the sock is blue, given that it is NOT brown? A. 1/4 B. 1/5 C. 1/10 D. 1/11. Thank you sorry i'm a noob at this.

Answers

EVERY probability question uses this formula.
You should memorize it.

Probability =
   (number of ways it can happen the way you want it)
   divided by
   (total number of ways it can happen).

When a card is chosen from a standard deck of cards, it can turn out
in 52 different total ways.
If you're looking for a black king, there are 2 of those.
So the probability is

2 / 52 = 1 / 26 = about 3.85%

===============================

In the sock drawer . . .

-- There are 22 socks altogether.

-- What is the total number of ways you can draw a single sock ?
Normally it would be 22. But the question says the one you draw is
definitely NOT brown. So you can just toss the brown socks out of
the question entirely. You're actually working with the total number
of ways you can draw one sock that is not brown. There are 10 of those.

-- 2 of them are blue.

-- So the probability is . . .

   2 / 10 = 1 / 5 = 20% .

There are 26 black cards in a deck of cards.

There is a King Of Clubs and a King of Spades.

So, given that the card is black, the chances of it being a King is:

2/26 which is 1/13.

This can be proven:

P(Card Is Black (B)) = 26/52

P(Card Is King (K)) = 4/52

P(Card Is King And Black) = 2/52

$P\left( K|B \right) =\frac { P\left( K\cap B \right) }{ P\left( B \right) } \n \n =\frac { \frac { 2 }{ 52 } }{ \frac { 26 }{ 52 } } \n \n =\frac { 2 }{ 52 } * \frac { 52 }{ 26 } \n \n =\frac { 2 }{ 26 } \n \n =\frac { 1 }{ 13 }$

----------

Using Bayes' theorem and:

P(Brown Sock (B)) = 12/22

P(White Sock (W)) = 8/22

P(Blue Sock (L)) = 2/22

P(Not Brown Sock (N)) = 10/22

Had to use this to make sure I got the right answer. Second question was a tad confusing.

$P\left( L|N \right) =\frac { P\left( L \right) * P\left( N|L \right) }{ P\left( N \right) } \n \n =\frac { \frac { 2 }{ 22 } * 1 }{ \frac { 10 }{ 22 } } \n \n =\frac { 2 }{ 22 } * \frac { 22 }{ 10 } \n \n =\frac { 2 }{ 10 } \n \n =\frac { 1 }{ 5 }$

simplify complex fraction

3/4 + 1/3/1/6 + 3/4

Answers

= (3/4 + 1/3)/(1/6 + 3/4)
= (3/4 + 1/3)/(1/6 + 3/4)
Multiply numerator and denoiminator by 12
=12(3/4+1/3) / 12(1/6 + 3/4)
= (3*3 + 1*4) / (2 + 3*3)
= 13/11

You need 154cm of thread for a project, how many meters is this?

Answers

The length of the thread for the project in meters is A = 1.54 meters

What is unit conversion?

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the length of the thread for the project in meters be A

Now , the length of the thread = 154 cm

From the unit conversion , we get

100 cm = 1 m

So , 154 cm = 1.54 m

And , length of the thread for the project in meters A = 1.54 meters

Therefore , the value of A is 1.54 meters

Hence , the unit conversion is solved

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