Consider a sampling distribution with p equals 0.11 and samples of size n each. Using the appropriate​ formulas, find the mean and the standard deviation of the sampling distribution of the sample proportion. a. For a random sample of size n equals 5000. b. For a random sample of size n equals 1000. c. For a random sample of size n equals 250.

Answers

Answer 1

Answer:

a) Mean 0.11 and standard deviation 0.0044.

b) Mean 0.11 and standard deviation 0.0099.

c) Mean 0.11 and standard deviation 0.0198

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

[tex]p = 0.11[/tex]

a. For a random sample of size n equals 5000.

Mean:

[tex]\mu = p = 0.11[/tex]

Standard deviation:

[tex]s = \sqrt{\frac{0.11*0.89}{5000}} = 0.0044[/tex]

Mean 0.11 and standard deviation 0.0044.

b. For a random sample of size n equals 1000.

Mean:

[tex]\mu = p = 0.11[/tex]

Standard deviation:

[tex]s = \sqrt{\frac{0.11*0.89}{1000}} = 0.0044[/tex]

Mean 0.11 and standard deviation 0.0099.

c. For a random sample of size n equals 250.

Mean:

[tex]\mu = p = 0.11[/tex]

Standard deviation:

[tex]s = \sqrt{\frac{0.11*0.89}{250}} = 0.0198[/tex]

Mean 0.11 and standard deviation 0.0198


Related Questions

In the game of roulette, a player can place a $4 bet on the number 10 and have a 1/38 probability of winning. If the metal ball lands on 10, the player gets to keep the $4 paid to play the game and the player is awarded an additional $140. Otherwise, the player is awarded nothing and the casino takes the player’s $4. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose?

Answers

this one is kinda Hard ill do sum research and help

If a coin is flipped 10 times, what is the best prediction possible for the number of times it will land on tails

Answers

Answer:

5 times

Step-by-step explanation:

There is a 1/2 (50%) chance each time it is flipped that it will land on heads. Therefore, if flipped 10 times, 1/2 of 10 is 5

Solve x-6y=17 for y, please help

Answers

Answer:

y = x/6 - 17/6

Step-by-step explanation:

     x - 6y = 17

<=>6y = x - 17  

<=> y  =x/6 - 17/6

Hope this helps!

a bus drives at 66 km at an average speed of 66 km/h. how long does the journey take?

Answers

Answer:

1 hour

Step-by-step explanation:

From Distance = speed × time

time = Distance/ speed

=66/66 = 1 hour

it takes one hour for the bus moving at 66km/h to travel 66 km.


There are about 208,000,000,000 different 8-letter passwords that can be formed using a 26-letter
alphabet.

Express this number using scientific notation.
0 2.08 x 1011
O 208 10
O 20.8 x 1010
0 0.208 x 1012

Answers

Answer:

2.08 x 10^11

Step-by-step explanation:

To put a number into scientific notation you move the decimal to the spot right after the first digit. To figure out what the power is you count how many digits you moved it past in order to get to the spot you want it (right after the first digit; in this case the 2)

So in this case you would move the decimal from the end of the number backwards past 9 zeros, the 8, and another zero, which is a total of 11 digits.

From there you take the number with the new decimal place and multiply by 10 to the power of the number you counted earlier, which for this example is 11

So the final answer is 2.08 x 10^11

pls halp me TwT im l
confused since quarantine happened reee
lateral area
surface area
volume​

Answers

Answer:

22 is the answer but which country are you from

Answer:

22

Step-by-step explanation:

A bowl of cold gazpacho soup is warming to room temperature.the temperature difference between the soup and the room decreases by 5% every minute. What will the temperature difference be in 5 minutes if it is currently 16°C

Answers

Answer:

The temperature difference in 5 minutes will be 12.38ºC

Step-by-step explanation:

The difference in temperature after t minutes is given by the following equation:

[tex]T(t) = T(0)(1-r)^{t}[/tex]

In which T(0) is the initial temperature and r is the decrease rate, as a decimal.

Decreases by 5% every minute.

This means that [tex]r = 0.05[/tex]

What will the temperature difference be in 5 minutes if it is currently 16°C

This is T(5) when [tex]T(0) = 16[/tex]

So

[tex]T(t) = T(0)(1-r)^{t}[/tex]

[tex]T(t) = 16(1-0.05)^{t}[/tex]

[tex]T(t) = 16*(0.95)^{t}[/tex]

[tex]T(5) = 16*(0.95)^{5} = 12.38[/tex]

The temperature difference in 5 minutes will be 12.38ºC

find the difference
8ab^3 square root ac^2-14ab^3 squareroot ac^2

Answers

Answer:

-6ab^3sqrtac^2 option b

Step-by-step explanation:

i just did it

Answer:

Step-by-step explanation:

The graph below represents a recent 10 meter race between two remote control cars.
10 I'm
Remote Control Car Race

Answers

Answer:

It's B I think.

Step-by-step explanation: If they the lines intersected then it'd mean they crashed.

The graph below shows a recent 10-meter race between two remote-control automobiles. The racial assertions in A, B, and C are true.

What is a graph?

A graph that shows the relationship between two or more variables, each of which is measured along one of two axes that are at right angles to one another.

At 6 meters into the race, the blue car overtook the red car because, at that moment, the blue car had a bigger distance than the red car.

Due to the greater slope of the blue vehicle's path compared to the red car's line, the blue car is faster.

Because the blue car's x-intercept is at (3, 0), where x stands for time and y for distance from the starting line, it began 3 seconds later than the other cars.

Hence Statements B, C, and D about race are true.

Q.The graph below represents a recent 10-meter race between two remote control cars.

A graph titled Remote Control Car Race has seconds after the race starts on the x-axis and distance from the start line (meters) on the y-axis. A line labeled red car goes through (3, 2) and (6, 4). A line labeled blue car goes through (3, 0) and (5, 2).

Which statements about race are true? Check all that apply.

The red car won the race because it started above the blue car.

The cars crashed 9 seconds into the race because that is the point of intersection, and neither car continued on after that point in time.

The blue car passed the red car at 6 m into the race because that is the point of intersection, and the blue car has a greater distance than the red car after that time.

The blue car is faster because the slope of its line is steeper than the slope of the line representing the red car.

The blue car started 3 seconds late because it has an x-intercept of (3, 0) and x represents the time and y represents the distance from the starting line.

learn more about graphs here :

https://brainly.com/question/10712002

#SPJ6

4 10
- = -
7 X
What's the value of x

Answers

Answer: [tex]x = \frac{35}{2}[/tex] or [tex]x = 17.5[/tex]



Step-by-step explanation:

[tex]\frac{4}{7} = \frac{10}{x}[/tex]

[tex]\frac{4x}{4} = \frac{70}{4}[/tex]

[tex]x = \frac{35}{2}[/tex]

or [tex]x = 17.5[/tex]

Can someone help me with the answer

Answers

Answer:

  D.  129°

Step-by-step explanation:

Angles XZY and XZV form a linear pair, so are supplementary.

 angle XZV = 180° -51° = 129°

What’s the correct answer for this?

Answers

Answer:

XY = 5268

Step-by-step explanation:

XY = XZ (originating from the same point)

85b+83=91b-283

85b-91b=-283-83

-6b=-366

Dividing both sides by -6

b = 61

Now

XY = 85b+83

= 85(61)+83

= 5268

What is 8 times as many as 3 is

Answers

Answer:

24?

Step-by-step explanation:

4x + 3y - z = -6
6x - y + 3z = 12
8x + 2y + 4z = 6

Answers

Answer:

  (x, y, z) = (1, -3, 1)

Step-by-step explanation:

Any number of calculators and/or web sites can be used to solve this system of equations. It can be helpful to familiarize yourself with your graphing calculator's capabilities in this area. The solution from one such site is shown below:

  (x, y, z) = (1, -3, 1)

__

Both y and z show up in these equations with coefficients that have a magnitude of 1. This means you can easily use one of those equations to create a substitution for y or for z.

Using the first equation to write an expression for z, we have ...

  z = 4x +3y +6

Substituting that into the second and third equations gives ...

  6x -y +3(4x +3y +6) = 12   ⇒   18x +8y = -6

  8x +2y +4(4x +3y +6) = 6   ⇒  24x +14y = -18

Now, we can subtract 4 times the first equation from 3 times the second to eliminate x:

  3(24x +14y) -4(18x +8y) = 3(-18) -4(-6)

  10y = -30

  y = -3

Substituting into the first equation (of the equations in x and y), we have ...

  18x +8(-3) = -6

  18x = 18

  x = 1

Finally, substituting into the equation for z gives ...

  z = 4(1) +3(-3) +6 = 1

The solution is (x, y, z) = (1, -3, 1).

___

The equations can also be solved using Cramer's rule, elimination, matrix methods, and other means. When solving by hand, the method of choice will often depend on what you're familiar with and what the coefficients are.

How many solutions are there to the equation below?
5(x + 10) - 25 = 5x + 25
O A. 1
OB.O
O C. Infinitely many

Answers

Answer: Infintely many

Step-by-step explanation:

5(x + 10) - 25 = 5x + 25

5x +50 - 25 = 5x + 25

5x +25 = 5x + 25

Same equation

Flow meters are installed in urban sewer systems to measure the flows through the pipes. In dry weatherconditions (no rain) the flows are generated by waste-water from households and industries, together withsome possible drainage from water stored in the topsoil from previous rainfalls. In a study of an urbansewer system, the following values were obtained for flowrates during dry weather conditions:

423.6, 487.3, 453.2, 402.9, 483.0, 477.7, 442.3, 418.4, 459.0

Assume that the flow rates are normally distributed.

a. Construct a 98% two-sided confidence interval for the standard deviation of the flow rate under dry weather conditions.
b. Explain, only using words, the meaning of the CI you determined in (a).

Answers

Answer:

a) [tex]\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}[/tex]

[tex] 363.90 \leq \sigma^2 \leq 4430.80[/tex]

Now we just take square root on both sides of the interval and we got:

[tex] 19.08 \leq \sigma \leq 66.56[/tex]

b) For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

Step-by-step explanation:

423.6, 487.3, 453.2, 402.9, 483.0, 477.7, 442.3, 418.4, 459.0

Part a

The confidence interval for the population variance is given by the following formula:

[tex]\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}[/tex]

On this case we need to find the sample standard deviation with the following formula:

[tex]s=sqrt{\frac{\sum_{i=1}^8 (x_i -\bar x)^2}{n-1}}

And in order to find the sample mean we just need to use this formula:

[tex]\bar x =\frac{\sum_{i=1}^n x_i}{n}[/tex]

The sample deviation for this case is s=30.23

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

[tex]df=n-1=9-1=8[/tex]

The Confidence interval is 0.98 or 98%, the value of [tex]\alpha=0.02[/tex] and [tex]\alpha/2 =0.01[/tex], and the critical values are:

[tex]\chi^2_{\alpha/2}=20.09[/tex]

[tex]\chi^2_{1- \alpha/2}=1.65[/tex]

And replacing into the formula for the interval we got:

[tex]\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}[/tex]

[tex] 363.90 \leq \sigma^2 \leq 4430.80[/tex]

Now we just take square root on both sides of the interval and we got:

[tex] 19.08 \leq \sigma \leq 66.56[/tex]

Part b

For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

Please help me figure this one out!

Answers

Answer:

7

Step-by-step explanation:

∑ᵢ₌₁³ (4 × (½)ⁱ⁻¹)

This is the sum of the first 3 terms of the sequence.

The first 3 terms are:

4 × (½)¹⁻¹ = 4

4 × (½)²⁻¹ = 2

4 × (½)³⁻¹ = 1

So the sum is:

∑ᵢ₌₁³ (4 × (½)ⁱ⁻¹) = 4 + 2 + 1 = 7

simplify the expression 2\3(-4)-(1/6-8/6

Answers

Answer:

1/8

Step-by-step explanation:

Answer:

When you simplify it, you get the answer of 1.

Step-by-step explanation:

Order of operation rules are required that you multiply and divide before you carrying out addition and/or subtraction.

So, simplify 2/3 / (-4) first, obtaining -1/6.

Now, you have -1/6 - 1/6 + 8/6, which combines to 1 or 6/6.

What’s the correct answer for this?

Answers

Answer:

C: x = 10

Step-by-step explanation:

PO = QR (so having equal central angles)

Now

4x-11 = 2x+9

4x-2x = 9+11

2x = 20

Dividing both sides by 2

x = 10

Answer:

x=10

Step-by-step explanation:

2x+9=4x-11

-2x      -2x

9=2x-11

+11  +11

20=2x

:2     :2

x=10

A sample of size =n72 is drawn from a population whose standard deviation is =σ25. Part 1 of 2 (a) Find the margin of error for a 95% confidence interval for μ. Round the answer to at least three decimal places. The margin of error for a 95% confidence interval for μ is . Part 2 of 2 (b) If the sample size were =n89, would the margin of error be larger or smaller?

Answers

Answer:

a) margin of error ME = 5.77

b) Margin of error becomes smaller

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

x+/-ME

Where margin of error ME = zr/√n

a)

Given that;

Mean = x

Standard deviation r = 25

Number of samples n = 72

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

ME = 1.96(25/√72)

ME = 1.96(2.946278254943)

ME = 5.774705379690

ME = 5.77

b)

For n = 89

ME = 1.96(25/√89)

ME = 1.96(2.649994700015)

ME = 5.193989612031

ME = 5.19

5.19 is smaller than 5.77 in a) above. So,

Margin of error becomes smaller

Find the area of the shape shown below.
4
4
8
2

Answers

Two shaped are merged so

One is square and the other is trapezoid so,

AREA OF SQUARE=4*4

=16

AREA OF TRAPEZOID=(2+4)x4/2

So,rhe answer will be

12+16=28

HOPE IT IS HELPFUL

Answer: 28 units^2

Step-by-step explanation:

You basically have a square and a trapezoid merged together

4*4=16 for the square

(2+4)*4/2=12 for the trapezoid

so

12+16=28 is your answer

The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5), as instructed, to ?nd a second solution y2(x)
y"+2y'+y=0; y1=xe^-x.

Answers

Answer:

[/tex]y2=e^(-x)[/tex]

Step-by-step explanation:

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLANATION

what are the square units?

Answers

Answer:

my butt

Step-by-step explanation:

my poop

dxhfhdjdjsjajalalalalqlqlqlalalal

(Old Final Exam Problem-A2011) A right circular cone of height h and base radius r has total surface area S consisting of its base area plus its side area, leading to the formula: S= π r2 + π r r2+h2 Suppose you start out with a cone of height 8 cm and base radius 6 cm, and you want to change the dimensions in such a way that the total surface area remains the same. Suppose you increase the height by 15/100. In this problem, use tangent line approximation to estimate the new value of r so that the new cone has the same total surface area. The estimated value of r =

Answers

Answer:

  5.972 cm

Step-by-step explanation:

Using implicit differentiation, we have ...

  0 = (2πr +π(√(r^2+h^2) +r^2/√(r^2+h^2))·dr/dh +πrh/√(r^2+h^2)

For the given values of r and h, this is ...

  0 = (12π +π(10 +36/10))dr/dh +48π/10

  dr/dh = -4.8/(12+13.6) = -0.1875

Then the tangent line is ...

  r = -0.1875(h -8) +6

__

For a height of 8 +15/100 = 8.15, the estimated value of r is ...

  r = -0.1875(8.15 -8) +6 = -0.1875(0.15) +6 = 5.971875

The estimated value of r is 5.972 cm.

How would I find the domain and range of this graph?

Answers

Answer:

Domain: [-3, 5]

Range: [-5, 4]

Step-by-step explanation:

The first thing is to define what is the domain and the range. The domain of a function f (x) is the set of all the values for which the function is defined, and the range of the function is the set of all the values that f takes.

In other words, the domain is the value on the "x" axis and the range is the value on the "y" axis.

In this case, both are an interval, the domain would be from -3 to 5 and in the case of the range it would be from -5 to 4.

Domain: [-3, 5]

Range: [-5, 4]

There are 4, 6, and 7 points on three lines. How many quadrilaterals is it possible to create with given points as vertices?

Answers

Answer:

Step-by-step explanation:If you choose any 3 of the 7 vertices, you can connect them with lines to create a unique triangle.

So, the question becomes "In how many different ways can we select 3 vertices from 7 vertices?"

Since the order in which we select the 3 vertices does not matter, we can use COMBINATIONS.

We can select 3 vertices from 7 vertices in 7C3 ways.

I need 6th question in the paper

Answers

Answer:

8

Step-by-step explanation:

[tex] a = 1 - \sqrt{2} [/tex]

[tex] (a - \dfrac{1}{a})^3 = [/tex]

[tex] = (\dfrac{a^2}{a} - \dfrac{1}{a})^3 [/tex]

[tex] = (\dfrac{a^2 - 1}{a})^3 [/tex]

[tex] = (\dfrac{(a + 1)(a - 1)}{a})^3 [/tex]

[tex] = (\dfrac{(1 - \sqrt{2} + 1)(1 - \sqrt{2} - 1)}{a})^3 [/tex]

[tex]= (\dfrac{(2 - \sqrt{2})(-\sqrt{2})}{1 - \sqrt{2}})^3[/tex]

[tex]= (\dfrac{(-2\sqrt{2} + \sqrt{2}\sqrt{2}}{1 - \sqrt{2}})^3[/tex]

[tex]= (\dfrac{2 - 2\sqrt{2}}{1 - \sqrt{2}})^3[/tex]

[tex]= (\dfrac{2(1 - \sqrt{2})}{1 - \sqrt{2}})^3[/tex]

[tex] = 2^3 [/tex]

[tex] = 8 [/tex]

The correct and best answer is 8 using that formula

How many pounds of a 23% zinc alloy must be mixed with a 42% zinc alloy to make 516 pounds of a 37.25% zinc alloy?

Answers

Answer:

(A)129 Pounds

Step-by-step explanation:

Let x be the number of 23% zink alloy

Therefore:

Since the total result is 516 pounds

The number of pounds of 42% zink alloy =516-x pounds

We then have the resulting equation:

0.23x+0.42(516-x)=0.3725*516

0.23x+216.72-0.42x=192.21

Colect like terms

0.23x-0.42x=192.21-216.72

-0.19x=-24.51

Divide both sides by 129

x=129 pounds

Therefore, the number of pounds of 23% zink alloy that must be mixed is 129 pounds.

The augmented matrix of a system of equations has been transformed to an equivalent matrix in​ row-echelon form. Using​ x, y, and z as​ variables, write the system of equations corresponding to the following matrix. If the system is​ consistent, solve it.

left bracket Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column 2 3rd Column 2 2nd Row 1st Column 0 2nd Column 1 3rd Column negative 3 3rd Row 1st Column 0 2nd Column 0 3rd Column 1 EndMatrix Start 3 By 1 Table 1st Row 1st Column 4 2nd Row 1st Column 9 3rd Row 1st Column negative 2 EndTable right bracket

1 2 2
0 1 −3
0 0 1
4
9
−2
Which of the following system of equations corresponds to the given​ matrix?

A.

x plus 2 y plus 2 zx+2y+2z

equals=44

y minus 3 zy−3z

equals=99

z

equals=minus−22

B.

2 x plus 2 y2x+2y

equals=44

negative 3 y−3y

equals=99

z

equals=minus−22

C.

2 x plus 2 y plus 4 z2x+2y+4z

equals=1

negative 3 y plus 9 z−3y+9z

equals=1

minus−z

equals=1

D.

x

equals=44

2 x plus y2x+y

equals=99

2 x minus 3 y plus z2x−3y+z

equals=minus−22

Select the correct choice below and fill in any answer boxes in your choice.

A.

The solution set is

StartSet nothing EndSet{}.

​(Type an ordered​ triple.)

B.

The solution is the empty set.

Answers

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a Row Echelon Form, which satisfies the following conditions:

There is a row of all zeros at the bottom of the matrix;The first non-zero element of any row is 1, which called leading role;The leading row of the first row is to the right of the leading role of the previous row;

For this question, the matrix is a Row Echelon Form and is written as:

[tex]\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right][/tex][tex]\left[\begin{array}{ccc}4\\9\\-2\end{array}\right][/tex]

or in system form:

x + 2y + 2z = 4

       y + 3z = 9

               z = -2

Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

How do you create and solve equations in one variable given a real-world situation?

Answers

Answer:

by finding something to factor it by

Answer:

1) first eliminate constant (number without variable) you eliminate constant by doing the inverse operation (if constant is being added, then subtract) (if constant is being subtracted, then add it)

ex: if  x+9=32

subtract 9 from both sides to get rid of it

x=23

2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it

you could multiply by 3 on both sides:

x+9=69

x=60

Other Questions
Why did people hoard goods and materials during the American revolution? Luis is meeting Pilar's friends. Choose the missing words to complete a line of their conversationFred: Hola Luis. Cmo (blank)?noestsdiasluego Which of the following levels or types of meaning might be the underlying story of an allegory?Select all that apply.psychologicalliteralhistoricalreligiousmoral Aspectos a considerar: -tipos de verbos usados (avanzamos, implicamos, etc.): -lo que significa cada una de las acciones o cul es su alcance (descarbonizacin, comunicacin, etc.): -a qu sectores o reas de la sociedad implica (legislacin, clientes, etc.) -cmo se ilustra cada accin y por qu es as. URGE What is the value of y???? I NEED ANSWERS!!!! Please and thank you!!! If U.S. residents purchase $600 billion worth of foreign assets and foreigners purchase $300 billion worth of U.S. assets:_______.A. U.S. net capital outflow is $300 billion; capital is flowing into the U.S. B. U.S. net capital outflow is $300 billion; capital is flowing out of the U.S. C. U.S. net capital outflow is -$300 billion; capital is flowing into the U.S. D. U.S. net capital outflow is -$300 billion; capital is flowing out of the U.S. What is the magnetic force on a 200 cm length of (straight) wire carrying a current of 30 A in a region where a uniform magnetic field has a magnitude of 0.055 T and is directed at an angle of 20 away from the wire f(x)= -7x^2 +8x+2 what is the value of the discrimnant of f ?How many x- intercepts does the graph of f have ?I NEED THIS PLEASE HELP!!!!! Will mark brainliest for the most answer!!! This is all easy photosynthesis y8 work pls help!! Do as much as u like but plz do help 15 points PART A: Which statement identifies the central idea of thearticle?A Descendants of the Mirabal sisters have carried on theirlegacy by taking on political roles and creating positivechange in the Dominican Republic.B The Dominican Republic has failed to adequately honorthe Mirabal sisters, as they would rather forget Trujillo'sviolent regime.C Although the Mirabal sisters had a mostly symbolicimpact on the country, their descendants and otherscelebrate their lives today.D The Mirabal sisters' murder had an immediate impact onTrujillo's regime, but their influence and recognition hasdied out over the years. Here is a map of a town.It has a scale of 2 cm to 7 km.A centimetre ruler is shown on the map.What is the real-life distance between the ice rink and the theatre? Which expression is equivalent to [tex]\sqrt{-80}[/tex]? a small plant is 2 1\2 intches tall how tall will it be in 3 weeks if it grows 3\4 inch week The table represents a function.A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 1, 3, 5. The second column is labeled f of x with entries negative 2, 5, 4, negative 8.What is f(5)?8118 In a repeated game, deterring entry A. is not a rational strategy if money is lost fighting the first potential entrant. B. cannot form a subgame perfect Nash equilibrium. C. is not possible. D. may require losing money fighting the first potential entrant. help please ... whats the answer ? With a height of 68 in, Nelson was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 70.7 in and a standard deviation of 2.3 in. a. What is the positive difference between Nelson's height and the mean? b. How many standard deviations is that [the difference found in part (a)]? c. Convert Nelson's height to a z score. d. If we consider "usual" heights to be those that convert to z scores between minus2 and 2, is Nelson's height usual or unusual? Aaron is a biologist who wants to determine the growth rate of a strain of bacteria. Aaron places 1450 bacteria into a controlled environment and waits 6 hours. When Aaron checks 6 hours later, there are now 3592 bacteria. What is the hourly growth rate of the bacteria? You have just won a lottery! You will receive $50,000 a year beginning one year from now for 20 years. If your required rate of return is 10%, what is the present value of your winning lottery ticket Kinetic Company estimates that overhead costs for the next year will be $1,600,000 for indirect labor and $400,000 for factory utilities. The company uses direct labor hours as its overhead allocation base. If 50,000 direct labor hours are planned for this next year, then the plantwide overhead rate is $.025 per direct labor hour.a. Trueb. False