What does t-test assuming equal variances mean?

Answers

Answer 1

The t-test assuming equal variances means Pooled t-test in which variances of the two sample populations are equal.

The pooled t-test is the statistical procedure that assumes that population variances are equal. Finding a weighted average of the two independent sample variances is referred to as pooling. By combining data from samples from populations 1 and 2, we may estimate the common variance when there is solid evidence that population 1's variance is equal to population 2's variance.

Compare the ratio of the two sample standard deviations as a quick way to verify this. The ratio would be compared as: S1/S2. The ratio would be 1, or, in the event that the two are equal.

However, we cannot anticipate the ratio to be exactly 1, as they are samples and as a result, there will be some errors. Thus, the pooled t-test implies whether the null-hypothesis should be accepted or rejected.

To know more about pooled t-test, refer:

https://brainly.com/question/30034592

#SPJ4


Related Questions

HELPPPPPPPP PLEASEEEE
algebra

Answers

Steps:

-x-2(-8x)=0

X=0

Y=-8(0)

Y=0

Solution

(X,Y) =(0,0)

Answer:

Your answer would be (x, y) = (0, 0)

Step-by-step explanation:

Please refer to the screenshot underneath.

leading coefficient of -1 and a constant term of -20

Answers

The roots of the equation is x = -20

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The leading coefficient of the equation is -1

And , the constant term is -20

Now , according to rational root theorem ,

So , the equation is

-x - 20 = 0

Adding x on both sides of the equation , we get

x = -20

Therefore , the value of x is -20

Hence , the equation is x = -20

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ9

5 In a game that you are playing, your friend says that she has -6 points "give or take" 4 points. You currently have -3 points in the game. Can you say who is winning? Why or why not? Use a number line to explain.

Answers

Based on the information provided, it's not possible to say who is winning without knowing the specific game and how points are scored and awarded.

How to explain the information

The statement "has -6 points give or take 4 points" doesn't provide a specific range of points that your friend could have, so we can't use this information to determine a winner.

Additionally, using a number line to compare two points of -3 and -6 is not helpful in determining who is winning in the game because it only shows their relative values, not the actual rules of the game and how points are scored.

It would be best to ask the friend to clarify their score and the rules of the game to determine who is winning.

Learn more about number line on:

https://brainly.com/question/24644930

#SPJ1

Can someone pls help meeeeeee!!!

Answers

Answer:

For question 2, Ethan needs 3 cups of milk to make the batter for 3 times as many cakes.

For question 3, Isabella needs 5/4 of a gallon of the food to make 5 gallons of the mixture.

Solve the given differential equation by using an appropriate substitution. The de is a bernoulli equation. X dy dx + y = 1 y2.

Answers

The  Bernoulli equation of given differential equation Xdydx + y = 1y² is ln (1 - x/y - x) = c

Any equation with one or more derivates and one or more terms of the dependent variable with respect to the independent variable is referred to as a differential equation (i.e., independent variable) dy/dx = f(x) (x)

-1/y = u

y¹/y² = u¹

xy¹ - (1 + x)y = xy²

now take the y² on other side,

xy¹/y² - (1 + x)/y = c

now replace the values by u¹,

xu¹ + (1 + x)u = x

xu¹ + u + ux = x

xu = s      ....[1]

Substitute the value of xu as s

u + xu¹ = s¹

s¹ + s = v

s - x  = t

s¹ - 1 = t¹

t¹ + 1 + t = 0

Now take the integration of both the sides,

dt/dx = - ( 1 + t)

-∫ dt/1+t =  ∫dx

-ln ( 1+ t ) = x + c

now ,put the value of t,

-in ( 1 + s - x ) = x + c

now put the value of s,

-ln ( 1 + xu - x ) = x + c

-ln ( 1 - x/y - x) = c.

Learn  more about bernoulli equation here :-

https://brainly.com/question/9506577

#SPJ4

PLS HELP

If the difference of a number and nine is doubled, the result is eight more than the number. Find the number. Round your answer to the nearest integer, if necessary.

Answers

Let's call your number x. Difference between your number and nine is doubled, which means that (x-9)•2 and that is equal to eight more than the number, so (x-9)•2 = x+8.
After this we simply calculate:
(x-9)•2 is 2x-18, so now we have
2x-18 = x + 8, move the x on the right to the left side and move -18 on the left side to the right so it becomes
x = 26

Lee biked 11 1/4 miles in 3/4 of an hour. What is Lees biking speed?

Answers

Answer: First find your given information:

D=6 miles (3 miles there + 3 miles back)

T=1 hour

Vwind= 3 mph

We're going to assume that the wind's velocity is always in opposite direction to Mr. Lee so:

VFinal = VMr. Lee - Vwind

We also know that VFinal=D/T

So D/T = VMr. Lee - Vwind

Rearrange to get VMr. Lee = D/T + Vwind

Plug in your given info to get VMr. Lee = (6 miles)/(1 hours) + 4 mph or 10 mph

Tno wind= D/VMr. Lee or (6 miles/10 mph)

Tno wind=0.6 hours

Step-by-step explanation:

Answer:

15 mph

Step-by-step explanation:

3 3/4 + 11 1/4 = 15

1/3 of 11 1/4 is 3.75 or 3 3/4. I added 3 3/4 to 11 1/4, and checked my answer, which was 15, by dividing it by four.

I know its confusing sorry, I hope you understand ^^

Angie is working on solving the exponential equation 23x = 6; however, she is not quite sure where to start. Using complete sentences, describe to angie how to solve this equation.

Answers

To solve the exponential equation 23^x = 6, take the logarithm base 23 of both sides to get x = log base 23 of 6.

Angie, to solve the exponential equation 23^x = 6, you need to find the value of x such that when you raise 23 to the power of x, you get 6. To do this, you can use logarithms.

In particular, you can use the logarithmic function log_23. The log_23 of a number y is the exponent x such that 23^x = y. So, to solve the equation 23^x = 6, you can take the log_23 of both sides:

log_23(23^x) = log_23(6)

x = log_23(6)

The right side of this equation can be evaluated using a calculator or logarithmic tables. Once you have the value of x, you will have solved the exponential equation.

To know more on exponential equation

https://brainly.com/question/29506679

#SPJ4

Vrite a cubic equation in standard form whose graph passes thr
1, 0), (2, 0), (0, -8), and (4, 0).

Answers

The cubic equation is given by A = x³ - 7x² + 14x - 8

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The coordinates of the points are A ( 1 , 0 ) , B ( 2 , 0 ) , C ( 0 , -8 ) , D ( 4 , 0 )

Now , the equation will be

f ( x ) = a ( x - 1 ) ( x - 2 ) ( x - 4 )

So , when x = 0 , the value of y = -8

-8 = a ( -1 ) ( -2 ) ( -4 )

-8 = a ( -8 )

8a = 8

Divide by 8 on both sides of the equation , we get

a = 1

Substitute the value of a in the equation , we get

f ( x ) = ( x - 1 ) ( x - 2 ) ( x - 4 )

f ( x ) = x³ - 7x² + 14x - 8

Hence , the equation is f ( x ) = x³ - 7x² + 14x - 8

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ9

ــــــ
-5
4
1
22
D) Where is Point A on the number line?
-3
1
-3
2
1
3-
2
2
2
2
2
A
||||
4
3
5

Answers

The Point A on the number line is 2 1/2

Where is Point A on the number line?

From the question, we have the following parameters that can be used in our computation:

The number line

On the number line, we have

A = Halfway between 2 and 3

Using the above as a guide, we have the following:

A = (2 + 3)/2

Evaluate

A = 2 1/2

Hence, the position is 2 1/2

Read more about number line at

https://brainly.com/question/24644930

#SPJ1

A triangle has sides with lengths of 4 miles, 6 miles, and 8 miles. Is it a right triangle?
yes or no

Answers

Answer:

scalene, right triangle

Step-by-step explanation:

Determine whether it is a triangle and the triangle's type:

Answer: scalene, right triangle

What is the median of these numbers?
56, 65, 77, 81, 92
If needed, round your answer to the nearest tenth.

Answers

Answer:

74.2

Step-by-step explanation:

Median is another word for average amount.

So if you add the numbers 56, 65, 77, 81, and 92 you would end up with 371.

To get an average, or the median, you take the numbers, add them together, then divide the answer by how ever many numbers you had.

In this case, you had 5, so

56+65+77+81+92=371

then divide by 5 so

371/5=74.2

9. A helicopter is traveling at a speed of 44 meters per second in the direction of S 61° E. Find the
magnitude of the horizontal and vertical components.

Answers

The magnitude of the horizontal and vertical components are 21.33 m/s and 38.48 m/s

How to find the magnitude of the horizontal and vertical components.

From the question, we have the following parameters that can be used in our computation:

Velocity = 44 meters per second

Direction = S 61° E

This means that

V = 44 and angle = 61°

The direction angle is 61° from the positive x-axis (E), so we can use the following trigonometric relationships to find H and V:

H = 44 * cos(61°) --- horizontal

V = 44 * sin(61°) --- vertical

Using a calculator, we can find that:

H = 21.33 m/s

V = 38.48 m/s

Read more about speed at

https://brainly.com/question/24571540

#SPJ1

The measure of central location most often reported for annual income and property value data is the__
A. Mode
B. Median
C. aggregate mean
D. weighted mean

Answers

The answer is the Median

Chapter 4 Lesson 3 Solving System of Equations Using Elimination

Answers

The solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54

by elimination are respectively:

x = -4, y = -4

x = 3, y = -1

x = 5, y = 1

x = -6, y = 4

How to evaluate for the solutions of the equations by elimination

we shall write the equations as:

7x - 4y = -12...(1)

x - 2y = 4...(2)

multiply equation (2) by 7 to get equation (3)

7x - 14y = 28...(3)

subtract equation (1) from (3) to eliminate x

7x - 14y - 7x + 4y = 28 + 12

-10y = 40

divide through by -10

y = -4

put the value -4 for y in equation (2) to get y

x - 2(-4) = 4

x + 8= 4

x = -4

x - y = 4...(1)

2x + y = 5...(2)

Add equations (1) and (2) to eliminate y

2x + y + x - y = 5 + 4

3x = 9

divide through by 3

x = 3

put the value 3 for x in equation (1) to get y

3 - y = 4

y = -1

4x - 3y = 17...(1)

2x - 5y = 5...(2)

multiply equation (2) by 2 to get equation (3)

4x - 10y = 10...(3)

subtract equation (3) from (1) to eliminate x

4x - 3y - 4x - 10y = 17 - 10

7y = 7

divide through by 7

y = 1

put the value 1 for y in equation (2) to get y

2x - 5(1) = 5

2x - 5 = 5

x = 5

5x + 6y = -6...(1)

7x - 3y = -54...(2)

multiply equation (1) by 7 to get equation (3) and equation (2) by 5 to get equation (4)

35x + 42y = -42...(3)

35x - 15y = -270...(4)

subtract equation (4) from (3) to eliminate x

35x + 42y - 35x + 15y = -42 + 270

57y = 228

divide through by 57

y = 4

put the value for y in equation (1) to get x

5x - 6(4) = -6

5x + 24 = -6

x = -6

Therefore, the solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54

by elimination are:

x = -4, y = -4

x = 3, y = -1

x = 5, y = 1

x = -6, y = 4

Know more about elimination here:https://brainly.com/question/28405823

#SPJ1

An army sergeant works as a trauma surgeon. Which two career clusters is she most likely a part of?

the Energy cluster and the Education and Training cluster
the Health Services cluster and the Energy cluster
the Government and Public Administration cluster and the Health Services cluster
the Education and Training cluster and the Government and Public Administration cluster

Answers

Both clusters are relevant to her career.

Why is it referred to as a cluster?

Cluster is derived from the old english word clyster, which means a group. Cluster is now used as both a noun and a verb.

The army sergeant who works as a trauma surgeon is probably in the Health Services and Government and Public Administration clusters.

Health Services occupations include diagnosing, treating, and preventing illnesses and injuries, while Government and Public Administration occupations include planning, managing, and providing government functions and services. The individual is a member of the military, which is a government organisation, and a trauma surgeon, which is a part of the healthcare industry. As a result, both clusters are pertinent to her career.

To know more about Clusters visit:

https://brainly.com/question/30180321

#SPJ1

i need help on this i would appreciate you soo much!!

Answers

Answer:

2(-3x+2)^2 -1

Step-by-step explanation:

so first you would find that f(g(x)) = f(-3x+2)

next plug in

f(-3x+2) = 2x^2-1

to every x

f(-3x+2) = 2(-3x+2)^2-1

What is the difference between AIC and BIC penalty?

Answers

The difference between AIC and BIC penalty lies in their approach to model selection.

AIC (Akaike Information Criterion) is a measure of the goodness of fit of a statistical model. It is used to compare different models and select the one that fits the data best. AIC is based on the principle of maximum likelihood, which means it is more focused on finding the model that fits the data best.

On the other hand, BIC (Bayesian Information Criterion) is a criterion for model selection based on the Bayesian approach. It is also used to compare different models, but it takes into account the complexity of the model. BIC tends to favor simpler models, and it is more focused on finding the model that is most likely to be true given the data.

In summary, AIC is more focused on finding the model that fits the data best, while BIC is more focused on finding the model that is most likely to be true given the data.

To know more about Akaike Information Criterion click on below link:

https://brainly.com/question/22238859#

#SPJ11

What is the division derivative rule?

Answers

Answer:

6

Step-by-step explanation:

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=2.7 yards and b=1.6 yards, what is c? If necessary, round to the nearest tenth.

Answers

Answer:

[tex]\huge\boxed{\sf c = 3.1\ yards}[/tex]

Step-by-step explanation:

Given that,

a = 2.7 yards

b = 1.6 yards

c = hypotenuse

Using Pythagoran Theorem:

[tex]c^2=a^2+b^2[/tex]

Put the given data.

c² = (2.7)² + (1.6)²

c² = 7.29 + 2.56

c² = 9.85

Take square root on both sides

c = √9.85

c = 3.1 yards

[tex]\rule[225]{225}{2}[/tex]

Volume = 1243.44 in3

Height = 11 in

Solve this equation and you have the answer:

3.14 • 11 • r2 = 1243.44

Radius = in

Answers

The radius of the cylinder is approximately 5.88 inches.

What are equivalent equations?

Equivalent equations are algebraic equations that are having identical roots or solutions.

We can solve the given equation to find the radius of the cylinder using the volume and height information

3.14 * 11 * r² = 1243.44

First, divide both sides by 3.14*11 to isolate r²:

[tex]r^2 = 1243.44 / (3.14 * 11)[/tex]

r² ≈ 34.585

Taking the square root of both sides, we get:

r ≈ 5.88

Hence, the radius of the cylinder is approximately 5.88 inches.

To learn more about equivalent equations, Visit

https://brainly.com/question/2972832

#SPJ1

Determine if the expression − � + 3 � 5 − � 2 −a+3a 5 −a 2 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

Answers

No, the expression −  + 3 × 5 −  2 −a+3a 5 −a 2 is not a polynomial.

What is expression?

In mathematics, an expression is a combination of numbers, symbols and operations such as addition, subtraction, multiplication and division that may be evaluated to produce a single number, a variable or a set of numbers. Expressions can be complex, and often appear in the form of equations or formulas. Examples of expressions include equations, polynomials, functions, matrices and more.

A polynomial is an expression that is a sum of one or more terms, each of which is the product of a constant and a non-negative integer power of a variable. In the expression given, the exponent of the variable a is negative, which does not meet the criteria to be considered a polynomial.

To know more about expression click-
https://brainly.com/question/1859113
#SPJ1

Find the explicit equation.

Answers

Answer:

f(n) = 10 + 3n

Step-by-step explanation:

Each of the expressions has 10 + a certain number of 3's

For example for n = 3 we have
f(3) = 10 + 3 threes = 10 + 3 x 3 = 10 + 9 = 19

For n = 4, we have

f(4) = 10 + 4 threes = 10 + 4 x 3 = 10 + 12 = 22

The others follow the same pattern

So the explicit equation is

f(n) = 10 + 3n

Testing on n = 6 we get

f(6) = 10 + 6n = 10 + 6 x 3 = 10 + 18 = 28

The sides of a triangle are 60, 68, and 32. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.

Answers

To determine whether the triangle is right, acute, or obtuse, we need to check if it satisfies the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

We can start by finding the longest side, which is 68. Then, we can check whether it satisfies the Pythagorean Theorem using the other two sides:

68^2 = 4624
60^2 + 32^2 = 3600 + 1024 = 4624

Since 68^2 = 60^2 + 32^2, the triangle satisfies the Pythagorean Theorem and is therefore a right triangle

A bowling alley charges $3+tax per shoe rental and $4+tax per person per game. If you and a friend bowl 3 games and each rent a pair of shoes, how much will it cost in all?
tax rate is - 13%

Answers

The total cost will be $21 for the bowling alley.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that a bowling alley charges $3 plus tax for each pair of shoes and $4 plus tax for each player every game. If you and a friend hire a pair of shoes and bowl three games.

The total cost will be calculated as:-

Cost = ( 3 + 4 ) x 3

Cost = 7 x 3

Cost = $21

Therefore, the total cost will be $21.

To know more about an expression follow

https://brainly.com/question/1859113

#SPJ9

Why Eulerian path can be implemented in linear time, but not Hamiltonian path?

Answers

Eulerian path can be implemented in linear time because it follows a specific rule: a connected graph can have an Eulerian path if and only if it has either zero or two vertices of odd degree.

This means that the algorithm can quickly determine whether or not a graph has an Eulerian path by simply counting the number of odd degree vertices. This can be done in linear time, making the implementation of Eulerian path efficient and fast.

On the other hand, Hamiltonian path does not follow a specific rule, and there is no known efficient algorithm to determine whether or not a graph has a Hamiltonian path.

This means that the implementation of Hamiltonian path requires checking all possible paths in the graph, which can take a long time and is not efficient. Therefore, Hamiltonian path cannot be implemented in linear time like Eulerian path can.

To know more about Eulerian path click on below link:

https://brainly.com/question/27979322#

#SPJ11

There are 4 grams of sugar in 1⁄2 of a liter of a new sports drink. How much sugar is in 3⁄4 of a liter of the sports drink?

Answers

Answer:

6 grams of sugar in 3/4 liter.

Explanation:

Recall that two 1/4 portions is equal to 1/2.  So if 1/2 liter has 4 grams, 1/4 liter will have 2 grams of sugar.

Every 1/4 liter will have 2 grams of sugar.

Therefore, 3/4 liter will have 3 times as much sugar as 1/4 liter.  The amount of sugar in 3/4 liter will be 3 times 2 grams or 6 grams of sugar in 3/4 liter

What is the value of 36celsius in fahrenheit?

Answers

The temperature conversion from Celsius to Fahrenheit is calculated using the following formula: Fahrenheit = (Celsius x 1.8) + 32. Increasing the Celsius temperature by 1 degree will result in an increase of 1.8 degrees Fahrenheit.

To convert a temperature of 36 degrees Celsius to Fahrenheit, we first multiply 36 by 1.8 to get 64.8, then add 32 to that result to get 96.8 degrees Fahrenheit. In other words, 36 degrees Celsius is equal to 96.8 degrees Fahrenheit. To better understand this conversion, it helps to remember that 0 degrees Celsius is equivalent to 32 degrees Fahrenheit. The two scales are offset by 32 degrees, meaning that for every degree Celsius, the equivalent Fahrenheit temperature is 1.8 degrees higher. For example, 10 degrees Celsius is equivalent to 50 degrees Fahrenheit (10 x 1.8 = 18 + 32 = 50). Thus, increasing the Celsius temperature by 1 degree will result in an increase of 1.8 degrees Fahrenheit.

Learn more about degrees here:

https://brainly.com/question/28162756

#SPJ4

Drag each expression to show whether it is equivalent to 8(t + 8), 8t + 8, or neither.

Answers

A. (8 * t) + (8 * 8) is equivalent to 8t + 64

B. 4t + 8 + 4t is equivalent to 8t + 8

C. 4(2t + 2) is equivalent to 8t + 8

D. 8t + 64 is equivalent to 8t + 64

E. 8t + 16 is equivalent to 8t + 16

F. (8 + t) + (8 + 8) is equivalent to 16 + t.

So the expressions that are equivalent to 8(t + 8) are B and C, the expression that is equivalent to 8t + 8 is E, and the expression that is neither is F.

In the given problem, we are comparing the given expressions to see if they are equivalent to 8(t + 8), 8t + 8, or neither.

Expression A: (8 * t) + (8 * 8) = 8t + 64

This expression is equivalent to 8t + 64, which is not the same as 8(t + 8) or 8t + 8.

Expression B: 4t + 8 + 4t = 8t + 8

This expression is equivalent to 8t + 8, which means that adding up 4t and 8, and then adding 4t again to the result is the same as multiplying 8 with t and adding 8 to the result.

Expression C: 4(2t + 2) = 8t + 8

This expression is also equivalent to 8t + 8, which means that multiplying 2t + 2 with 4 is the same as multiplying 8 with t and adding 8 to the result.

Expression D: 8t + 64 = 8t + 64

This expression is the same as 8t + 64, which is not equivalent to either 8(t + 8) or 8t + 8.

Expression E: 8t + 16 = 8t + 16

This expression is the same as 8t + 16, which is not equivalent to either 8(t + 8) or 8(t + 8).

Expression F: (8 + t) + (8 + 8) = 16 + t

This expression is not equivalent to either 8(t + 8), 8t + 8, or neither.

To know more on expression

https://brainly.com/question/28170201

#SPJ4

--The question is incomplete, answering to the question below--

"Drag each expression to show whether it is equivalent to 8(t + 8), 8t + 8, or neither.

A. (8 * t) + (8 * 8)

B. 4t + 8 + 4t

C. 4(2t + 2)

D. 8t + 64

E. 8t + 16

F. (8 + t) + (8 + 8)"


What is the value of the next term in the following sequence

1, 5, 25, 125, 625 . . .

Answers

The sequence is formed by multiplying each term by 5 to get the next term.

To find the value of the next term, we multiply the last term (625) by 5:

625 x 5 = 3,125

Therefore, the next term in the sequence is 3,125
Each number is multiplied by five so 625 multiplied by five is 3125
Other Questions
This question is based on the Subduction Zones topic in the Tsunami Initiation Animation. Click here to access it. 1st attempt The initiation of a tsunami by a stick-slip subduction zone is similar to the motion experienced by which type of fault? Solve the following inequality for z.7 z + 7 > 2 z 4 True/false? in python, math expressions are always evaluated from left to right, no matter what the operators are. how can people support communities in need? Two-thirds of child care settings have one or more potentially serious hazards. True or false what does joyner-kersee travel around the united states to speak about? select all that apply which of the following name an angle in the drawing (66-6)divided by 12+ 5with exponent of 2 chef grace is trying to experience the taste of dolphin without actually eating dolphin. she presumes that taste is evolutionary and changes much the same way genes do. which of the following organisms should she eat based on this hypothesis? true/false. it is expected that the greater the degree of economic freedom, the more successfully and efficiently markets perform and the greater the prosperity created through private enterprise. Consider the following 1st order differential equation. dx/dt = 4e^0.8 t - 0.5x In MATLAB, solve the system store values of x in a vector from t = 0 to t = 3 if x(0) = 2 using the following methods. You can put everything in one MATLAB script or write one script for each method. (a) Euler's method with a step size of 0.5 (b) Heun's method with a step size of 0.5 (c) Midpoint method with a step size of 0.5 (d) The analytical solution to this equation is given as: x = 4/1.3 (e^0.8 t - e^-0.5t) + 2e^-0.5t Plot the previous 3 numerical solutions and the analytical solution in one graph, and make sure you label the axes and legends PLEASE HELP !! Tammy was comparing information for two cell phone plans. the coriolis force on earth is caused by _____ . weights of objects on earth earth's revolution around the sun earth's rotation rotation of objects in the atmosphere rotation in the northern hemisphere question content areato an observer on a platform spinning counterclockwise, an object will ______ when thrown. appear to move to the left appear to move to the right appear to travel in a straight line move to the right move to the left The perimeter of a rectangular field that measures 2 feet by 18 inches is _________ ft. (Watch your units)784406 According to the article, why did Nichelle Nichols consider resigning from her role as Lieutenant Uhura?A.She wanted to dedicate more time to musical theater.B.She felt her character was too progressive for television.C.She felt her character was being limited on the show.D.She wanted to embark on a career in space travel. You are an architectural consultant for XSpace Architectural Design, and you want to convince a potential customer who is used to a low-bid approach that a design-build approach could be better. What could you emphasize in your pitch? Select all that applyEarly input from all team members ensures coordination of essential tasks.Early input from all team members ensures coordination of essential tasks.Only one team works on all phases of the project, ensuring a maximum of transparency.Only one team works on all phases of the project, ensuring a maximum of transparency.Separation of the contractor team from the rest of the team ensures their attention is undivided.Separation of the contractor team from the rest of the team ensures their attention is undivided.The customer will be working with a unified team of professionals working together. Consider measurements of the width w and length l of a piece of paper used to calculated the area of the paper using A = w l.1. If the length of the paper is measured twice using a ruler marked with 1 mm increments, and the measurements give values of1=298 mm and l=294 mm, what value should be used for l? for l? Express your answer in the form ll2. If the width of the paper is also measured twice using a ruler marked with 1 mmincrements to give a value ofw=210 mm both times, what value should be used for w? for w? Express your answer in the form ww3. What is the area of the paper? What is the uncertainty in the area? Express your answer in the form AA x-intercepts: (-2, 0), (3, 0) y-intercept: (0, 4) what does the pig flesh bailed up at the thesmophoria represent? what do you learn from the ball of twine?