Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x. x 1 2 3 4 5 6 7 f(x) One-fourth StartFraction 1 Over 16 EndFraction StartFraction 1 Over 64 EndFraction ? StartFraction 1 Over 1024 EndFraction StartFraction 1 Over 4096 EndFraction StartFraction 1 Over 16,384 EndFraction a. StartFraction 1 Over 256 EndFraction c. StartFraction 1 Over 84 EndFraction b. 256 d. StartFraction 1 Over 512 EndFraction Please select the best answer from the choices provided A B C D

Answers

Answer 1

Answer:c

Step-by-step explanation

Answer 2

Answer:

the Answer is A

Step-by-step explanation: took the test


Related Questions

Cathy received a gift of $2,000 to buy a new car when she graduates in a year. She decides to use this money to purchase stock in a new, alternative energy company. Is this a good investment decisions?

A.No, because she will need money a year from now. Generally, stocks are long term investments. It is very unlikely that she will get a return on her investment in a year.


B.Yes, because alternative energy companies guarantee investors a minimum yearly profit.


C.Yes, because the FDIC insures this type of investment.


D.No, she should have invested in technology instead.

Answers

Answer:

a. No, because she will need money a year from now. Generally, stocks are long term investments. It is very unlikely that she will get a return on her investment in a year.

Step-by-step explanation:

Stocks are a riskier investment in comparison to bonds, and may pay higher interest rates, but still require the investment to "sit" for a long period of time. Like a 3 month (APY of about .50%), 6 month (APY of about .30%), 8 month (APY of about .10%), etc. bond, stocks will not grow considerably in a short amount of time.

Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary. Item Amount Shorts $14.00 Soccer ball $25.00 Shin guards $10.00 Cleats $60.00 $104.94 $109.94 $115.54 $120.54

Answers

6% of $14.00=$0.84 so the total cost of shorts=$14.84

6% of $25.00=$1.50 so the total cost for soccer ball=$26.50

6% of $10.00=$0.60 so the total cost of shin guards=$10.60

$60.00+$104.94+$109.94+$115.54+$120.54=$510.96

36% of $510.96=$183.95 so the total cost of cleats=$694.91

694.91+$10.60+$26.50+$14.84=$746.85

$746.85+$5=$751.85

Answer:

its option d $120.54

Step-by-step explanation:

ALSOOOO a braddison shipper :)

13.555 to 1 decimal place

Answers

Answer:

13.6

Step-by-step explanation:

Since it is asking for 1 decimal place, we assume that it is the tenths decimal place. Since the hundredths decimal place is ≥5, we round up to 6.

There is no such thing as ones in decimals, so I am assuming you mean tenths. If you were to round this to the tenths place, the answer would be 13.6.

13.555 → 13.6 (4 and below, leave it alone. 5 and up, round it up)\

Hope this helps!

given that $1 = £0.72
a) how much is $410 in £
b) what is the £ to $ exchange rate

Answers

Step-by-step explanation:

a) $410 × £0.72 = £295.20

Required
1. A man counted his animals, 80 heads and 260 legs (ducks and goats). how many goats are there?

30
60
80
50​

Answers

Answer:

50

Step-by-step explanation:

d-nr of ducks

g- nr of goats

2*d+4*g=260

d+g=80            /*(-2)

2d+4g=260

-2d-2g=-160

------------------

      2g=100

      g=100/2

     g=50

Answer:

50

Option D is the correct option

Solution,

Let no.of ducks be X

Let no.of goats be y.

Total heads= X+y=80 ➡️ equation (i)

Total legs= 2x+4y=260➡️ equation (ii)

X= 80-y

[tex]2(80 - y) + 4y = 260 \\ or \: 160 - 2y + 4y = 260 \\ or \: 160 + 2y = 260 \\ or \: 2y = 260 - 160 \\ or \: 2y = 100 \\ or \: y = \frac{100}{2} \\ y = 50[/tex]

Number of goats= 50

Hope this helps...

Good luck on your assignment...

plzzzz help asap!!! marking brainiest!!!

Answers

Answer:

see below

Step-by-step explanation:

3 ^ ( 6/5)

The base a is 3

The power is 6 which is b

the root is 5 which is c

[tex]\sqrt[5]{3^6}[/tex]

Which expression is equivalent to StartFraction (5 a b) cubed Over 30 a Superscript negative 6 Baseline b Superscript negative 7 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Superscript 7 Baseline b Superscript 10 Baseline Over 6 EndFraction
StartFraction 125 a Superscript 18 Baseline b Superscript 21 Baseline Over 30 EndFraction
StartFraction 25 a cubed b Superscript 4 Baseline Over 6 EndFraction
StartFraction 25 a Superscript 9 Baseline b Superscript 10 Baseline Over 6 EndFraction

Answers

Answer:

Option D.

Step-by-step explanation:

The given expression is

[tex]\dfrac{(5ab)^3}{30a^{-6}b^{-7}}[/tex]

We need to find the expression, which is equivalent to the given expression.

The given expression can be rewritten as

[tex]\dfrac{5^3a^3b^3}{30a^{-6}b^{-7}}[/tex]     [tex][\because (ab)^m=a^mb^m][/tex]

[tex]\dfrac{125}{30}\times \dfrac{a^3}{a^{-6}}\times \dfrac{b^3}{b^{-7}}[/tex]

[tex]\dfrac{25}{6}\times a^{3-(-6)}\times b^{3-(-7)}[/tex]    [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]

[tex]\dfrac{25}{6}\times a^{3+6}\times b^{3+7}[/tex]

[tex]\dfrac{25a^9b^{10}}{6}[/tex]

Therefore, the correct option is D.

Answer:

The correct option is D

Step-by-step explanation:

PLS HELP ME ANSWER, i Need it quick

Answers

Answer:

69

Step-by-step explanation:

The median is the middle number.  Using the box and whisker box, the median is the middle line in the box.    The line is at 69 for  Genevieve

Which set of ordered pairs is not a function?
OA) (4, -2), (-2, 2), (2, -2), (4, 2)
OB, (-4, 2), (-2, 2), (2, 2), (4, 2)
OC) (-4, 2), (-2,-2), (2, 2), (4,2)
OD) (-4,-2), (-2,-2), (2, 2), (4,2)

Answers

Answer: OA) (4, -2), (-2, 2), (2, -2), (4, 2)

Step-by-step explanation:

The diagonal of a rectangular room is 52 ft long. One wall measures 28 ft longer than the adjacent wall. Find the dimensions of the room.

Answers

Answer:

The dimensions of the rectangular room is 48 ft by 20 ft

Step-by-step explanation:

Drawing a Diagonal line in a rectangle forms two right angle triangles

The diagonal line will represent the hypotenuse

In a right angle triangle:

Hypotenuse^2= adjacent^2+opposite^3

One wall measures 28 ft longer than the adjacent wall.

Let the adjacent=x ft

Opposite=28+x ft

Hypotenuse=52 ft

Hypotenuse^2= adjacent^2+opposite^3

52^2 = x^2 + (28+x)^2

2704 =x^2 + 784 + 56x + x^2

2704=2x^2+784+56x

2x^2+56x+784-2704=0

2x^2+56x-1920=0

Solve the quadratic equation using the quadratic formula

x= -b +or- √b^2-4ac / 2a

a=2

b=56

c=-1920

x= -b +or- √b^2-4ac / 2a

= -56 +or- √56^2 - (4)(2)(-1920) / (2)(2)

= -56 +or- √3136 - (-15,360) / 4

= -56 +or- √3136+15,360) / 4

= -56 +or - √ 18496/ 4

= -56 +or- 136 / 4

x= -56 + 136 / 4

=- 56/4 + 136/4

= -14+34

=20

OR

x= -56 - 136/4

= -56/4 - 136/4

= -14 - 34

= -48

The value of x can't be negative, so will use the positive value of x which is 20

Recall,

Adjacent=x

=20 ft

Opposite=28+x ft

=28+20

=48 ft

The dimensions of the rectangular room is 48 ft by 20 ft

There are one hundred people standing in a circle. They count off beginning at one and ending at one hundred. Since they are in a circle, ONE is next to TWO and ONE HUNDRED. ONE has a sword and kills TWO. He passes the sword to THREE who kills FOUR. And so forth. NINETY-NINE kills ONE HUNDRED and passes the sword to ONE. Then ONE kills THREE and passes the sword to FIVE. This goes on until only one person is left standing. Which number is he?

Answers

Answer:

number 1

Step-by-step explanation:

A grocer wants to make a 10-pound mixture of berries and chocolate that he can sell for $3.48 per pound. If chocolate cost $5.40 per pound and berries cost $2.20 per pound, how many pounds of berries must he include in the mix?

Answers

Answer:

9

Step-by-step explanation:

Since he only has to buy one pound of chocolate to make it a berry chocolate mix, he can just put 9 pounds of berries into it. Why would he want to break even? Make some profits grocer or you are not going to be in that house for very long.

A horizontal translation is used to move quadrilateral onto quadrilateral Z ′. Use the drop-down menus to describe the horizontal translation used.

Answers

Answer:

10 to the left I believe

Step-by-step explanation:

Put the following numbers in ascending order.
A.540 g
B.180,000 mg
C.0.8 tonnes
D.2.3 kg

Answers

Answer:

B, A, D, C

Step-by-step explanation:

Covert all units into grams.

540 g = 540 g

180,000 mg = 180g

0.8 tonnes = 800000 g

2.3 kg = 2300 g

Arrange in ascending order.

180,000 mg, 540 g, 2.3 kg, 0.8 tonnes

If fx=-4x2-3 please evaluate for f(8), listing the steps you take in order with their result. Find the inverse function f-1(x)

Answers

Answer:

A. -259

B. inverse function is 1/2 √(-x-3)

Step-by-step explanation:

Here, we want to find f(8)

Simply substitute x = 8 in the equation.

The equation is

f(x) = -4x^2 -3

So f(8) = -4(8)^2-3

f(8) = -256-3

f(8) = -259

Inverse of f(x) = -4x^2 -3

Simply equate this to m

m = -4x^2-3

-4x^2 = m + 3

x^2 = (m + 3)/-4

x^2 = -m/4 -3/4

x = √(-m-3)/4

x = 1/2√(-m-3)

Put back the value of x for m

x = 1/2 √(-x-3)

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t circle s) (x)?

Answers

Answer:

Its B

Step-by-step explanation:

Answer:B 4(x – 7)2 – (x – 7) + 3Step-by-step explanation: got it ridgt on test

Please help! Which table represents a linear function? (will give brainliest)

Answers

Answer:

The fourth one

Step-by-step explanation:

Only the first one x and y interval 1, 2. The rest aren't linear.

Answer:

Step-by-step explanation:

it is the fourth one

A herd of cattle started with a population of 10,000 and was 20,000 after 10 years. If the population was growing exponentially, what was the growth rate?

Answers

Answer:

The growth rate is 7.2%

Step-by-step explanation:

First thing we need to do here is to set up an exponential equation;

This can be written as follows;

F = I(1 + r)^t

where F is the future value = 20,000

I is the initial value = 10,000

r is the rate in percent which we want to calculate

t is time in years = 10 years

Substituting the values in the question into the exponential equation, we have;

20,000 = 10,000(1 + r)^10

divide both side by 10,000

2 = (1+r)^10

Find the 10th root of both sides

1+ r = 2^(1/10)

1 + r = 1.07177346254

r = 1.07177346254-1 = 0.07177346253

Let’s approximate r as 0.072

Now this to percentage?

That would be 72/1000 * 100% = 7.2%

2. CHEMISTRY How many liters of 15% acid and
33% acid should be mixed to make 40 liters of 21%
acid solution?
Concentration
of Solution
Amount of
Solution (L)
Amount
of Acid
15%
33%
у
21%
40

Answers

Answer:  

        26²/₃ liters of 15% acid and 13¹/₃ liters of 33% acid

Step-by-step explanation:

Concentration            Amount of             Amount

of Solution                   Solution (L)             of Acid

    15%                                x                         0.15x

    33%                               y                         0.33y

    21%                              40                      0.21•40      

       

x + y = 40    ⇒  x = 40 - y

0.15x + 0.33y = 0.21•40

0.15(40 - y) + 0.33y = 0.21•40

6 - 0.15y + 0.33y = 8.4

  0.18y = 2.4

        y = 13¹/₃

x = 40 -  13¹/₃ = 26²/₃

I need help with this honestly

Answers

Answer:

D.(-4,-8) and(2,4)

Step-by-step explanation:

y=-2x

y=x²-8

this means that the two equations are equal because they both add up to y

thus; x²-8=-2x

formulae=Ax²+bx+c=0

x²+2x-8=0

find two numbers which multiplied will give you x² and when added will give you 2x that is x and x

x²+x+x-8=0

x(x+1)+1(x-8)=0

(x+1)(x-8)=0

1)x+1=0. x= -1

further explanation on answers

1)y=-2x

y=-2(-1)=2

y=2

2)y=x²-8

y=1²-8= -8

y= -8

note*this means that the answer should have both 2 and -8 thus d is the answer

plz help!! tell me which ones you solve

Answers

Answer:

Step-by-step explanation:

17)-8(5-n)=-96

 -8*(5-n)-(-96)=0

 (0 -  8 • (5 - n)) -  -96  = 0

 8n + 56  =   8 • (n + 7)

 8 • (n + 7)  = 0

Solve :    8   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    n+7 = 0  

Subtract  7  from both sides of the equation :  

                     n = -7

n = -7 is your answer

the picture is the question​

Answers

Answer:

-4 points

Step-by-step explanation:

Since each incorrect answer is worth the same amount of negative points, use the equation below.

3x = -12      DIvide both sides by 3

x = -4 points  

Which expression has the same value as Negative 18 divided by (negative 9)? Negative 18 divided by 2 Negative 12 divided by (negative 3) Negative 10 divided by 5 Negative 8 divided by (negative 4) (for brainliest)

Answers

Answer: -8/-4

Step-by-step explanation:

When a negative integer gets divided my another negative integer, it results in a positive number. This means that we can eliminate all the negative symbols in this problem

18/9 = 2

Now all is left to determine which other expression is equivalent to 2

In the expression -10 / 5, since there is only one negative symbol, the postulate for negative number division states that two negative integers makes a positive number, and there is one negative integer and one positive whole number.

18/2 = 9 = incorrect

12/3 = 4 = incorrect

-10/5 = -2 = incorrect

8/4 = 2 = correct

So the expression -8/-4 is equivalent to the expression -18/-9

Answer:

Its D

Step-by-step explanation:

took the test its right, yw

What is the y-intercept of y=1+6x? Choose 1 answer: (Choice A) A (0,1) (Choice B) B (1,0) (Choice C) C (6,0) (Choice D) D (0,6)

Answers

The y-intercept of a line equation is when x=0.

Therefore y=1+(6•0)

y=1

Therefore coordinates are (0,1) which is choice A

Match the solution set given in inequality notation with the solution set given in interval notation.

Answers

Answer:

x≤7.8  ⇒(-∞;7.8]

x<7.8  ⇒ (-∞;7.8)

x>7.8  ⇒ (7.8; ∞)

x≥7.8  ⇒ [7.8; ∞)

Step-by-step explanation:

Hi, to answer this question we have to analyze each expression:

• x≤7.8

The solution is all the numbers less or equal to 7.8, since it can be equal to 7.8, it includes 7.8 , we have to use closed brackets

(-∞;7.8]

• x<7.8

All the numbers less than 7.8 , it excludes the endpoint , it's an open interval (parenthesis)

(-∞;7.8)

• x>7.8

All the numbers higher than 7.8, open interval (parenthesis)

(7.8; ∞)

• x≥7.8

All the numbers higher or equal to 7.8, closed interval (closed brackets for the endpoint)

[7.8; ∞)

Answer:

Step-by-step explanation:

Assume m<22=35. Find the measure of all of the other angles in the figure given line L and line P are parallel.

PLEASE HELP!!! ASAP!!!

(Picture included)

Answers

Answer:

m∠1 = 145°

m∠3 = 35°

m∠4 = 145°

m∠5 = 145°

m∠6 = 35°

m∠7 = 35°

m∠8 = 145°

Step-by-step explanation:

In the picture attached,

line 'm' and line 'l' are the parallel lines and another line intersects these lines is a transverse.

m∠2 = 35°

Since ∠1 and ∠2 are supplementary angles,

m∠1 + m∠2 = 180°

m∠1 + 35° = 180°

m∠1 = 180° - 35°

m∠1 = 145°

∠1 ≅ ∠4 [Vertical angles]

m∠1 = m∠4 = 145°

∠2 ≅ ∠3 [Vertical angles]

m∠2 = m∠3 = 35°

∠3 ≅ ∠6 [Interior alternate angles]

m∠3 = m∠6 = 35°

Similarly, ∠4 ≅ ∠5 [Interior alternate angles]

m∠4 = m∠5 = 145°

∠6 ≅ ∠7 [Vertical angles]

m∠6 = m∠7 = 35°

what is 76 over 9 divided by 14 over 3?

Answers

Answer:

38/21 or 1.80952381

Step-by-step explanation:

Answer:

(76/3) / 14 OR AROUND 9/5

Step-by-step explanation:

So I'm assuming this equation is (76/9) / (14/3)

We can solve this in a simple way instead of a hard way -->

9 and 3 can cancel out to 3 and 1 so we have (76/3) / (14)

76/3 = 25 1/3 --> 25 1/3 / 14 If you simplify this it's around 1 4/5 or 9/5

Hope this helps!

What is the approximate diameter of a sphere with a volume of 34 cm

Answers

Answer:

The diameter is 4cm

Step-by-step explanation:

Volume of a sphere is

[tex]V = \frac{4}{3} \pi {r}^{3} [/tex]

Where r is the radius

diameter = radius × 2

To find the diameter we must first find the radius

Volume = 34cm³

That's

[tex]34 = \frac{4}{3} \pi {r}^{3} \\ \\ 34 \times 3 = 4\pi {r}^{3} \\ \\ 102 = 4\pi {r}^{3} \\ {r}^{3} = \frac{102}{4} \pi \\ \\ r = \sqrt[3]{ \frac{51}{2\pi}} \\ \\ r = 2.01 \\ \\ r = 2.0 cm[/tex]

Diameter = 2 × 2cm

= 4cm

Hope this helps you

Answer:

The answer is 4

Step-by-step explanation:

HELP! PLEASE I NEED HELP

Answers

Hello there! :)

Answer:

y = -4x.

Step-by-step explanation:

Begin by finding the slope of the line using the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in two points on the graph. We can use the points (-1, 4) and (0, 0):

[tex]m = \frac{0 - 4}{0 - (-1)}[/tex]

Simplify:

m = -4.

Therefore, the equation of this line in slope-intercept form (y = mx + b) is:

y = -4x.

what is: 1/1+a+b^-1 + 1/1+b+c^-1 + 1/1+c+a^-1 please write the steps and explain

Answers

Step-by-step explanation:

The expression:

[tex]\frac{1}{1+a} + b^{-1} + \frac{1}{1+b} + c^{-1} + \frac{1}{1+c} + a^{-1}[/tex]

It is possible that there are values for a, b, and c, but are omitted. If this is not the case, then the expression can be rewritten in another form. These are about all that can be done.

The second case is more plausible, given there are no values given for a, b, and c.

The expression can be rewritten as:

[tex]a^{-1}+b^{-1}+c^{-1} + \frac{1}{1+a} + \frac{1}{1+b} + \frac{1}{1+c}[/tex]

When a number has an index of -1, it is the same as taking the reciprocal of the number.

That is;

[tex]a^{-1} = \frac{1}{a}[/tex]

Therefore, the whole expression gives:

[tex]\frac{1}{a} + \frac{1}{b} + \frac{1}{c} + \frac{1}{1+a} + \frac{1}{1+b} + \frac{1}{1+c}[/tex]

Taking the common denominator in the first three expressions, we have

[tex]\frac{a+b+c}{abc} + \frac{1}{1+a} +\frac{1}{1+b} + \frac{1}{1+c} \\[/tex]

It is also possible to take the common denominator of the whole whole expression, this will however, make the expression look more tedious, rather than simple.

The expression:

It is possible that there are values for a, b, and c, but are omitted. If this is not the case, then the expression can be rewritten in another form. These are about all that can be done.

The second case is more plausible, given there are no values given for a, b, and c.

The expression can be rewritten as:

When a number has an index of -1, it is the same as taking the reciprocal of the number.

That is;

Therefore, the whole expression gives:

Taking the common denominator in the first three expressions, we have

It is also possible to take the common denominator of the whole whole expression, this will however, make the expression look more tedious, rather than simple.

Other Questions
7. The mean age at first marriage for respondents in a survey is 23.33,with a standard deviation of 6.13. For an age at first marriage of 33.44,the proportion of area beyond the Z score associated with this age is.05. What is the percentile rank for this score? 12+23 some one please help me II. Use the words below to fill in the blanks in the following paragraph, which describes Sonias weekend at her grandparents house. Each word only needs to be used once. cerdos montar jamones encanta gustan las gallinas caballos granja desayuno fritos Me __visitar a mis abuelos en su granja. Me __ mucho los animales, sobre todo los ___ . Me gusta mucho ___ a caballo por la pradera. Tambin es divertido observar las aves domsticas. Todas las maanas, recojo los huevos de ____ , y mi abuela los hace ___ para el ___ . En la ___ tambin hay pavos y gansos. Y mi abuelo tiene cinco ___ con los que har (will make) ____ . Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 116 meters Quadrilateral rust has a vertex (2,4). What are the coordinates of r' after a dilation of scale factor 3, centered at the origin, followed by translation (x,y) to (x+4,y) HELP A GIRLL OUT I GAVE YOU ALL MY POINTS!! HELPP! 1. a. What is Jamess new texting speed if he practices for only 1 month? __________ b. What is Jamess new texting speed if he practices for 2 months? ____________ c. What is his new texting speed if he practices for 3 months? _____________ 2. Write an algebraic equation that gives Jamess texting speed s for m months of practice. 3. solve the equation from question 2 to determine how many months of practice it will take before james texting speed reaches 8 characters per second. Lynda would also like to complete in the same speed texting completion as james she currently texts at the rate of 4 characters per second but will only have 10 months to practice before the completion. 4. if Lynda wants to text at least 8 characters per second like james then the equation 10r+4=8 could be used to model this situation. Solve for r. 5. Explain what the variable r represents in the equation given in question 4. 6. Consider the equation 8x+5=37 write a real life scenario that this equation could model. The probability that Stu buys a sandwich is 0.5.The probability that Stu gets the bus is 0.7.Assuming the events are independent, what is the probability that Stu buys a sandwich and gets the bus? The element nitrogen forms a(n) _______ with the charge . The symbol for this ion is , and the name is . The number of electrons in this ion is . Pleaaaaase help!!!! what must happen before meiosis can begin A. the cell splits into four parts B. the chromosomes must replicate C. four haploid cells are produced D.DNA must duplicate four times What does Increasing consumer confidence do? Which compound is composed of oppositely charged ions? PLEASE ANSWER ASAPPPP I WILL GIVE BRAINLY!!!!!!!!!!! Marla Staples is concerned with identity theft. One of the ways that she can protect her information from leaking out to the wrong hands is to: limit her purchases with vendors that she knows do not store her information in a database. limit her travels to only the U.S. because identity theft is an international problem. avoid all e-commerce transactions because this is the only type of buying transaction where websites and others handle sensitive, personal information. install antivirus software, firewalls, and anti-spyware software on her computer. Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be to find the amount of money you can expect to win or lose if you play this game 100 times. How many times would you win? how many times would you lose? Monique is researching local recycling.What is the best action to take if she faces challenges while locating sources?A.She should ask a fellow student.B.She should question her neighbors.C.She should consult a teacher or librarian.D.She should talk to her parents or grandparents. Which of the following is NOT an indicator of a chemicalreaction?O A. Breaking into small piecesOB. Producing a solidOC. Changing colorOD. Producing light What is the solution to 2|2.2x 3.3| = 6.6? x = 3 x = 3 x = 3 or x = 0 x = 0 or x = 3 In a survey, 205 people indicated they prefer cats, 160 indicated they prefer dots, and 40 indicated they dont enjoy either pet. Find the probability that if a person is chosen at random, they prefer cats When a production possibilities frontier is bowed out it shows... Group of answer choices that there is no transaction cost going from one good to the next. an example of increasing opportunity cost. that resources are perfectly shiftable from the production of one good to another. All of these answers are correct.