For the month of April which option would be better? 1. To be gifted $1,000,000 once only on April 1st. OR 2. To receive a penny on April 1st and then double that amount on April second and then each day of the month after that you receive double the amount you got the day before? For this option show how much you get each day of the month and then how much it adds up to for the whole month. a.) Would there be a way to get the total without adding each amount for the 30 days? Please describe with detail. b.) Which tools, diagrams, or methods best helped you figure this out? Be honest.c) On your first instinct, before figuring this out, which option did you expect to be the best?

Answers

Answer 1

Answer:

a.) April has 30 days

If you for option No.2, you would have:

[day, amount($)]

1, 0.01

2, 0.02

3, 0.04

4, 0.08

5, 0.16

6, 0.32

7, 0.64

8, 1.28

9, 2.56

10, 5.12

11, 10.24

12, 20.48

13, 40.96

14, 81.82

15. 163.48

16, 327.68

17, 655.36

18, 1310.72

19, 2621.44

20, 5242.88

21, 10,485.76

22, 20,971.52

23, 41,943.04

24, 83,886.08

25, 167,772.16

26, 335,544.32

27, 671,088.64

28, 1,342,177.28

29, 2,684,354.56

30, 5,368,709.12

Option 2 grants you more than 5 times as much as Option A and is therefore obviously better.

b.) A diagram would show first a slow rise, than a steeper and steeper rise, then would almost growvertically. exponential growth

#coronatime

The most elegant form to describe the given numbers would simply be

$=1*2^x

You start with one, eich doubles after a day (x=1). x is the number of days and how often you multiply by 2

c.) Wasn't sure without calculating, but I guessed Opt.2, because it seemed that one should be tricked into choosing Opt.1

Have a nice day

Brainliest would be appreciated

If there are questions left, feel free to ask them


Related Questions

Multiplying special case polynomials: 48 squared

Answers

Answer:2304

Step-by-step explanation:

All you have to do is 48x48, hope this helped you!

Can someone help? Identify the system of linear equations from the tables of values given below.​

Answers

Answer:

C

Step-by-step explanation:

The equation y = x + 2 does not match these data points either. So, option D is not the correct answer.

Let's analyze each option:

A. y = -2x - 2

This equation represents a linear relationship with a slope of -2 and a y-intercept of -2. It does not seem to match the given data points.

B. -2

This is not an equation, so it cannot be a solution.

C. y = 8 + 2x, y = x + 1

The first equation, y = 8 + 2x, represents a linear relationship with a slope of 2 and a y-intercept of 8.

The second equation, y = x + 1, also represents a linear relationship with a slope of 1 and a y-intercept of 1.

Now, let's check if these equations match the given data points:

Data points: (X, Y) = (0, 0), (0, -4), (0, -2), (0, -4), (0, 0), (0, -1), (0, 2), (0, 6), (0, -6), (0, -1), (0, 2)

None of the equations in option C match these data points. So, option C is not the correct answer.

. y = x + 2

This equation represents a linear relationship with a slope of 1 and a y-intercept of 2.

Now, let's check if this equation matches the given data points:

Data points: (X, Y) = (0, 0), (0, -4), (0, -2), (0, -4), (0, 0), (0, -1), (0, 2), (0, 6), (0, -6), (0, -1), (0, 2)

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What number is 40% of 25? ___ is 40% of 25.

Answers

Answer:

10

Step-by-step explanation:

Common sense. (also I used Google)

Answer:

De Answer is ♥ 10 ♥

( If Wrong Den Me Sowwy )

Please help ASAP 15 points

Answers

Answer:

k= 35 degrees do the very bottom

Step-by-step explanation:

55 + 35 = 90

The answer is k=35 for sure

The Australian Cockroach measures 3.582 centimeters compared to the American Cockroach that measures 3.576 centimeters. Compare these numbers using >, <, or =

____________________, ____________________, ______________________

Answers

Since the Australian Cockroach measures 3.586 centimeters, and the American Cockroach measures 3.576, we should pay attention to the numbers being told.

3.586 and 3.576 have 3 in their thousands.

3.586 and 3.576 also have 5 in their hundreds.

In the tens, the eight is larger than the seven.

3.586 > 3.576

(I hoped this helped!)

Which of the following functions would result in a graph that is shifted three
units to the left of g(x) = 4 logx?

A. f(x) = 4 log(x-3)
B. f(x) = 4 log(x+3)
C. f(x) = 4 log(x) +3
D. f(x) = 4 log(x) - 3

Answers

Answer:

B. f(x) = 4 log(x+3)

Step-by-step explanation:

B. f(x) = 4 log(x+3) : shifted three units to the left of g(x) = 4 logx

The functions would result in a graph that is shifted three units to the left of g(x) = 4 log x is F(x) = = 4log(x+3).

The correct option is B.

What is Translation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have,

G(x) = 4 log x

As, If we want to shift a function to the left, we add a constant.

and, If we want to shift a function to the right, we subtract a constant.

Her, we have to shift left by 3 unit then we have to add.

Then, the translated function F(x) = 4log(x+3)

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What is the magnitude of the resultant vector a and b shown below?

Answers

Answer: SECOND OPTION.

Step-by-step explanation:

It is important to remember that, by definition, the "Resultant vector " is the vector obtained by adding two or more vectors.

 For this exercise you need to use the formula for calculate the magnitude of the resultant vector obtained by adding the vectors "a" and "b" shown in the picture attached:

[tex]c=\sqrt{a^2+b^2}[/tex]

Where "c" is the magnitude of the resultant vector asked in the exercise.

You need to analyze the graph given in the exercise.

You can identify that:

[tex]a=4\\\\b=3[/tex]

Then the next step, knowing which are "a" and "b", is to substitute values into the formula given at the beginning of this explanation, as following:

[tex]c=\sqrt{4^2+3^2}[/tex]

Finally, evaluating, you get that "c" is:

[tex]c=\sqrt{16+9}\\\\c=5[/tex]

Final answer:

The magnitude of the resultant vector a and b is 5.

Explanation:

The magnitude of the resultant vector a and b can be found using the Pythagorean theorem.

The Pythagorean theorem states that the magnitude of the resultant vector is equal to the square root of the sum of the squares of its individual vector components.

Let's assume vector a has a magnitude of 3 and vector b has a magnitude of 4. First, we square the magnitude of each vector: a^2 = 3^2 = 9 and b^2 = 4^2 = 16.

Then, we sum the squared magnitudes: a^2 + b^2 = 9 + 16 = 25. Finally, we take the square root of the sum: magnitude of the resultant vector = sqrt(25) = 5. So, the magnitude of the resultant vector a and b is 5.

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what is the vertex of the graph of y=2(x-2)2+4​

Answers

Answer:

The vertex is at (2,4)

Step-by-step explanation:

The parabola is given in the form

y = a(x-h)^2 +k

where (h,k) is the vertex

y=2(x-2)^2+4​

The vertex is at (2,4)

Answer: (2,4)

Step-by-step explanation:

I promise you

Here are the monthly charges for Jo's mobile phone.
Monthly charge £16
150 free minutes, then 13p per minute
150 free texts, then 15p per text
During one month, Jo makes 170 minutes of calls and sends 182 texts.
Work out the total charge for the month.
In details pls.

Answers

Answer:

£23.40 total for month.

Step-by-step explanation:

£16 for the monthly fee

170 mins - 150 = 20 extra mins = 20 × 13 = 260p or £2.60 for extra mins

182 mins - 150 = 32 extra mins = 32 × 15 = 480p or £4.80 for extra texts

16 + 2.60 + 4.80 = £23.40 total for month.

O A. 392 units3
O B. 3927 units 3
O C. 11767 units3
O D. 1176 units 3

Answers

Answer:

h= 24 units

r= 7 units

[tex]volume = \frac{\pi {r}^{2}h }{3 } = \frac{\pi {(7)}^{2} \times 24 }{3} [/tex]

[tex] = \pi49 \times 8 \: \: {units}^{3} [/tex]

[tex] = 392\pi {units}^{3} [/tex]

option B

The Volume of Cone is 392π unit³.

The correct option is (B).

What is Volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

We have,

l = 25

Radius = 7 unit

Height = 24 unit

So, the Volume of cone

= 1/3 πr²h

= 1/3 π(7)²(24)

= π(49)(8)

= 392π unit³

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Jay is making a documentary on the opinions of Cortland residents toward a
local sports team. If he talks to 8 people, and each interview lasts 3 minutes,
how long will the film be?

Answers

Answer:

24 minutes.

Step-by-step explanation:

8 people x 3 minutes of interview = 24 minutes of interview time.

Answer:

f=8*3.

Step-by-step explanation:

Find the solution to the following system using substitution or
elimination:
y = 2x – 1
y = 5x – 7

Answers

Answer:

x = 2

y = 3

Step-by-step explanation:

y = 2x – 1

y - 2x = -1

y = 5x – 7

y - 5x = -7

y - 2x = -1

y - 5x = -7

_________--

3x = 6

x = 6/3

x = 2

y = 2x – 1

y = 2(2) - 1

y = 4 - 1

y = 3

[tex]x=2\\y=3[/tex]

Substitution method:The substitution method is one approach to take into consideration. When one equation with one variable is solved, this expression is then used in the other equation. The substitution method entails solving for a single variable before inserting the solution into the other equation.Elimination method:To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are inequality.Solution - (Through substitution method)

Given -

[tex]y=2x-1\\y=5x-7[/tex]

So, substitute [tex]y=2x-1[/tex] in [tex]y=5x-7[/tex].

[tex]y=5x-7\\2x-1=5x-7\\5x-2x-7+1=0\\3x-6=0\\3x=6\\x=\frac{6}{3} \\x=2[/tex]

Now, substitute [tex]x=2[/tex] in [tex]y=2x-1[/tex].

[tex]y=2x-1\\y=2(2)-1\\y=4-1\\y=3[/tex]

Therefore, [tex]x=2[/tex] and [tex]y=3[/tex].

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Complete the recursive formula of the geometric sequence −0.6,3,−15,75,...

Answers

Answer:

[tex] - 0.6 - 3 - 15.75 = .9[/tex]

Answer:

-5

Step-by-step explanation:

khan academy

first is −0.6

then -5 because x each one by -5  

-5(-4x-2)=-2(5-5x) this is an equation for 8th grade math

Answers

Step-by-step explanation:

20x + 10 = 10 - 10x

Now bringing like terms on one side

20x + 10x = 10 - 10

30x = 0

x = - 30

Answer:

Step-by-step explanation:

-5(-4x-2)=-2(5-5x)

20x+10=-10+10x

20x-10x=-10-10

10x=-20

x=-2

An internet service provider changes an initial fee of $65 and $18 per hour of labor for office internet installation. Which equation represents the total cost, C, of the installation after h hours of labor?
a C = 18 + 65h
b C = 65 - 18h
c C = 18h - 65
d C = 65 + 18h

Answers

Answer:

D

Step-by-step explanation:

65 is your "b" value in this linear equation

18 is your slope

The answers is D c=65+18h

the circle at eh top of a cylinder has a radius of 3.3 inches. the cylinder is 21 inches long. what is the volume of the cylinder?

Answers

Answer:

V =718.0866 in^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

The radius is 3.3 and the height is 21

V = pi (3.3)^2 * 21

V = pi (10.89) (21)

V =pi 228.69

We can approximate pi by 3.14

V = 3.14(228.69)

V =718.0866 in^3

Which of the following expressions are equivalent to
-(8/3)
Choose all answers that apply: A) 8/-3 B) - 8/-3 C)
None of the above

Answers

Answer:

A

Step-by-step explanation:

To determine which expressions are equivalent to -(8 divided by 3), let's perform the calculation first. Therefore the correct option is A

The division of 8 by 3 can be written as 8/3, which equals to 2.6666 (rounded to four decimal places). When we apply the negative sign to this result, we get -(2.6666) or -2.6666. Now, let's consider the given answer choices: A) 8 divided by -3: This expression corresponds to 8/(-3), which equals to -2.6666. Since this matches the calculated value of -2.6666, option A is equivalent.

B) -8 divided by -3: This expression translates to [tex](-8)/(-3),[/tex] which simplifies to 2.6666. As this value does not match the calculated result of -2.6666, option B is not equivalent. Therefore, by comparing the results, we can conclude that option A (8 / -3) is equivalent to -(8 / 3), while option B (-8 / -3) is not. To summarize, the expression -(8 /3) can be represented as 8 by -3 (option A). Option B (-8 / -3) is not equivalent.

Thus, the correct answer is A) 8 /-3.

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A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a
width of 2 inches, and a height of 2 1/2
inches. What is the surface area?
The surface area of the box is_____ square inches.

plzzz

Answers

Answer:

18

Step-by-step explanation:

Answer:

The answer is 91

Step-by-step explanation:

Analyze the table below and answer the question that follows.
Entrée Side
Dessert
Steak Tempura
Tiramisu
Lobster Spinach an gratin Crème brûlée
Salmon Fresh aspa agus Strudel
King crab Tater wedges Fudgesicle
Com dog
Rusty is trying to decide what to eat at La Grande Apple. In how many ways can Rusty order one entrée, one side, and one
dessert?
A
B.
C
D.
1
13
80
125

Answers

Multiply it all together. 130,000 ways to order

Answer:

C.80

Step-by-step explanation:

If you multiply all of the options 5x4x4 you will get 80

can someone please explain i’m confused

Answers

I think the answer is 3,053.628.

Answer:

3050

Step-by-step explanation:

V=4 /3xπxr/\3=4

3·π·93≈3053.62806

s=4lw+2wh; s=200, l=9, w=5

Answers

Answer:

2

Step-by-step explanation:

200=4(5)(9)+2(5)h

Simplify:

200=20(9)+10h

200=180+10h

Subtract 180 on both sides:

20=10h

Divide by 10:

h=2

Problem PageQuestion

Suppose that the heights of adult women in the United States are normally distributed with a mean of 65 inches and a standard deviation of 2.4 inches. Jennifer is taller than 70% of the population of U.S. women. How tall (in inches) is Jennifer? Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.

Answers

Final answer:

Jennifer is 66.3 inches tall; this is calculated by finding the z-score for the 70th percentile and using it with the mean and standard deviation of the population.

Explanation:

To determine how tall Jennifer is, given that she is taller than 70% of the population of U.S. women, we need to find the corresponding z-score that reflects the 70th percentile of a normal distribution, and then use it to calculate her height.

Firstly, using a standard normal distribution table or a calculator, we find the z-score that corresponds to the 70th percentile. Generally, this z-score is around 0.5244 (this can vary slightly depending on the table or technology used to find it). Now we apply the formula for converting a z-score to the actual score using the population mean and standard deviation:

Height = mean + (z-score × standard deviation)

Plugging in the values for the population mean and standard deviation:

Height = 65 + (0.5244 × 2.4)

Height = 65 + 1.2586

Height = 66.2586 inches

After rounding, we conclude that Jennifer is 66.3 inches tall.

In the given case, Jennifer's height is approximately 66.3 inches.

To find Jennifer's height, we need to find the z-score corresponding to the 70th percentile (as she is taller than 70% of the population) and then use that z-score to find her height.

The z-score formula is:

[tex]\[ z = \frac{x - \mu}{\sigma} \][/tex]

First, we find the z-score corresponding to the 70th percentile using a standard normal distribution table or calculator.

A z-score of approximately \(0.5244\) corresponds to the 70th percentile.

Now, we can use the z-score formula to find Jennifer's height x

[tex]\[ 0.5244 = \frac{x - 65}{2.4} \][/tex]

[tex]\[ x \approx 66.2586 \][/tex]

Rounded to one decimal place, Jennifer's height is approximately 66.3 inches.

How is a debit card similar to an ATM card?
a. Each is only available to adults 18 and older.
b. Any one person can only have one of each at a time.
C. Both can be used to withdraw money from ATMs.
d. Both can be used to make purchases online,
Please select the best answer from the choices provided
ОООО

Answers

C. Both can be used to withdraw money from ATMs.

A debit card and an ATM card share certain similarities, but they also have distinct differences. Let's focus on the similarities both can be used to withdraw money from ATMs (option c).

The primary similarity between a debit card and an ATM card is that they can both be utilized to withdraw cash from Automated Teller Machines (ATMs). When using either card at an ATM, the cardholder can access their bank account and withdraw funds, check balances, and perform other account-related transactions.

However, it is crucial to note the differences between these two types of cards. A debit card is linked to a checking or savings account and allows the user to make purchases in stores, online, or through other payment methods. It deducts the amount spent directly from the linked bank account. On the other hand, an ATM card is typically used only for ATM transactions and lacks the functionality to make purchases like a debit card.

In summary, both a debit card and an ATM card can be used to withdraw money from ATMs, but a debit card offers additional features and can be used for various transactions, including online and in-store purchases.

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A scientist studies a pod of humpback whales to determine the
migration of humpback whales. What is the sample?

A. all humpback whales
B. dolphins
C. a pod of him back whales
D. all whales

Answers

Answer:

C. A pod of humpback whales

The scientists is trying to draw a conclusion about all humpback whales by looking at the behaviors of a pod of humpback whales.

The Australian Cockroach measures 3.582 centimeters compared to the American Cockroach that measures 3.576 centimeters. Compare these numbers using >, <, or =
3.582_________3.57

Answers

3.582 > 3.57. When it comes to decimals, you want to start with the first number and go down the line and compare. 3 and 3 are equal, 5 and 5 are equal, but 8 is greater than 7, therefore 3.582 is greater.

Which is the same as 7/3?

Answers

Answer:

Its D.

Step-by-step explanation:

7 is being divided from 3.

Answer: 7 divided by 3

Step-by-step explanation: 7/3 = 2.3 and so does 7 divided by 3.

I need the top two questions anwsered please

Answers

Answer:

x = 6

x = 16

y = 11

Step-by-step explanation:

Honestly you're not going to read this part but eh.

13x - 5 = 7x + 31 (because bisect means these two angles are congruent)

6x = 36 (combined like terms)

x = 6 (divided by 6)

Didn't read this either but eh again.

5x - 4 + 7x - 8 = 180 (because supplementary angles)

12x - 12 = 180

12x = 192

x = 16

Plug in to find y:

9y + 5 = 7(16) - 8

9y + 5 = 104

9y = 99

y = 11

What is the maximum height the cricket reaches? Round to the nearest thousandth.

Answers

Answer:

3.063

Step-by-step explanation:

Answer: 3.063

Step-by-step explanation:

find the quotient of 3/18 divided by 7/21

Answers

Answer:

.498

Step-by-step explanation:

divide 3/18 and you get .166

Then divide 7/21 and you get .333

Then you must divide those two together, and you get .498

0.5 Remember Keep-Change-Flip
Keep the 1st number the same. CHANGE the sign to a mulitplication sign. FLIP the 2nd fraction to its reciprical

Jim has 4 New York quarters, 3 Pennsylvania quarters, and 3 Virginia quarters in his pocket. What is the probability that he will get a Pennsylvania quarter followed by a Virginia quarter when he pulls two quarters out of his pocket? ​

Answers

1/10 or 10%.

First, you add up all the quarters to get the total amount of possibilities for the first quarter that gets pulled out.

4 NY + 3 PA + 3 VI = 10 total quarters.

So the total number of quarters becomes the denominator for the first probability, and the total number  of PA quarters becomes the numerator.

So the probability of Jim pulling out a PA quarter first is 3/10.

Now you have to find the probability of drawing a VI quarter as the second quarter. Since it's known that Jim would have already pulled 1 quarter out, that means the total number of quarters he could draw is now 9, so 9 would be the denominator of the second probability. Since there should be 3 VI quarters left still in his pocket, the numerator for the second probability is 3.

So the probability of Jim pulling out a VI quarter second is 3/9.

Now to get the final probability of Jim pulling out both a PA quarter and a VI quarter in the correct order, all you have to do is multiply the two probabilities together and then you should get the probability of the correct quarters being pulled out inn the correct order.

The first probability, 3/10, times the second probability, 3/9 equals the total probability of 9/90, and it simplifies to 1/10 or 10%

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During the year, US Bancorp and Hilton Hotels both paid a dividend of $1.39 and $0.16, respectively. At the end of the year, the stock prices of US Bancorp, Micron, and Hilton Hotels were $36.19, $13.12, and $34.90, respectively. What are the dollar and percentage return of the stocks and the return of the portfolio The trial balance of a company included the following account balances: Cash, $25,000; Short-Term Investments, $10,000; Accounts Receivable, $40,000; Inventory, $90,000; and Prepaid Insurance, $12,000. Its quick assets total:A. $35,000B. $125,000C. $75,000D. $165,000E. $50,000 Can someone please explain and help me with this question 1. As an alien taxonomist, it is your responsibility to classify these existing organism types.a. Create a taxonomic scheme using only kingdom, phylum, genus, and species. The intermediate categories have been eliminated since the total number of species has been drastically reduced. (Two Kingdoms are recommended). Be sure to include the number of the organism with the scheme.b. Create Latin-sounding names for each organism. Remember, these will be scientific names and will include the genus and species classification. The species name should reflect a characteristic of the organism. Written in this form: Genus species (genus capitalized, species remains lower case, entire name is italicized if typed or underlined if handwritten). 1. Taxonomical scheme: First, divide up all your organisms into two kingdoms based on shared characteristics, then break each kingdom into phyla. From there, you can decide how many genera you want in each phylum, then assign species to each genus.Here are some examples to get you started as well as a blank guide. A derived class has access to __________.a. the public functions and variables of its ancestor classes. b. the private functions and variables of its ancestor classes. c. only the functions and variables defined it its class. d. none of the above. Solve the following expressions:1. 3 + 42. 2 + 53. 10 - 84. 815. 1446. 225 The exchange rate at the beginning of a year between the Indian Rupee (R) and the U.S. dollar is R43.125/$. The annual inflation rates in India and in the United States are 19 percent and 3 percent respectively. What would be the new exchange rate at the end of the year? R37.327/$ R0.0267/$ R49.8224/$ $37.327/R Suppose an economy is initially in a steady state with capital per worker below the Golden Rule level. If the saving rate increases to a rate consistent with the Golden Rule, then in the transition to the new steady-state consumption per worker will:A) always exceed the initial level.B) first fall below then rise above the initial level.C) first rise above then fall below the initial level.D) always be lower than the initial level. Brittany surveyed the 37 students in her math class on whether they likedjogging. Of the girls, 14 liked jogging and 8 did not. How many boys are inBrittany's class? True or false:(6.910^8) (3.110^8)=2.13910^17.A trueB false 1/2 plus what equals 7/8 For several months, Reba has kept her weight 10 to 15 pounds below what would be considerednormal for her age and height. She uses laxatives after her meals as a purging behavior. She hasbecome concerned because she has recently stopped menstruating. According to the DSM-5, withwhich of the following feeding and eating disorders will Reba most likely be diagnosed?A) Binge-eating disorderB) Bulimia nervosa, purging typeC) Anorexia nervosa, binge/purge typeD) Anorexia nervosa, restricting type what is 62 kilograms decreased by 32% An agricultural researcher plants 25 plots with a new variety of yellow corn. Assume that the yield per acre for the new variety of yellow corn follows a Normal distribution with unknown mean LaTeX: \mu and standard deviation LaTeX: \sigma = 10 bushels per acre.Q: Which of the following would produce a confidence interval with a smaller margin of error than the 90% confidence interval?A) Plant only 5 plots rather than 25, because 5 are easier to manage and control.B) Plant 10 plots rather than 25, because a smaller sample size will result in a smaller margin of error.C) Compute a 99% confidence interval rather than a 90% confidence interval, because a higher confidence level will result in a smaller margin of error.D) Plant 100 plots rather than 25, because a larger sample size will result in a smaller margin of error. The diagram shows a transformer based on the diagram, the voltage of the secondary winding is ____ Why is brazils president jair bolsonaro allowing the destruction of the rainforest? A friend receives the results of a urine test and finds that dissolved nutrients, such as amino acids and glucose, are present in his urine. You deduce that part of his kidney is not functioning properly. Which part is most likely malfunctioning? Suppose that there is a financial crisis, and people choose to spend less. As a result, velocity drops by 5 percent. According to market monetarists, if the GDP target growth rate is 3 percent, the Fed would need to increase the money supply by ______________ percent in order to achieve their GDP target.