You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you​ survey? Assume that you want to be 90​% confident that the sample percentage is within 1.5 percentage points of the true population percentage. Complete parts​ (a) and​ (b) below. Assume that nothing is known about the percentage of passengers who prefer aisle seats.

Answers

Answer 1

Using the z-distribution, it is found that 3,007 passengers must be surveyed.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

In this problem, we desired a margin of error of M = 0.015, with no prior estimate, hence [tex]\pi = 0.5[/tex], then we solve for n to find the minimum sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.015 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.015\sqrt{n} = 1.645(0.5)[/tex]

[tex]\sqrt{n} = \frac{1.645(0.5)}{0.015}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.645(0.5)}{0.015}\right)^2[/tex]

n = 3007.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1


Related Questions

Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
triangle a is a right angled triangle with a height | of 8cm base of 5cm and missing hypotenuse
triangle b is a right angled triangle with a height | of 12cm and a hypotenuse of 17cm with a missing base

Answers

The length of the missing sides of triangles A and B are 9.43 cm and 12.04 cm respectively.

Pythagoras theorem

Triangle A:

Height = 8cmBase = 5cmHypotenuse = x cm

Hypotenuse² = height ² + base²

x² = 8² + 5²

= 64 + 25

x² = 89

x = √89

x = 9.43 cm

Triangle B:

Height = 12cmBase = x cmHypotenuse = 17 cm

Hypotenuse² = height ² + base²

17² = 12² + x²

17² - 12² = x²

289 - 144 = x²

145 = x²

x = √145

x = 12.04 cm

Learn more about right triangle:

https://brainly.com/question/2217700

#SPJ1

A farmer raises only cows and Sheep. He wants to raise no more than 16 animals, including no more than 12 sheep. He spends birr 5 to raise a cow and Br 2 to raise a sheep. He has Br 50 available for this purpose. Cows sell birr 100 and sheep birr 50. Required: How many of each animal should he raise to maximize profit? What is the maximum profit?​

Answers

Answer:

1050 max profit

Step-by-step explanation:

cow 5brr 30br 600 × 6 cows 570

sheep 2brr 20br 500 ×10 sheeps 480

sheep&cows = 1050 max profit

Is AABCDEF? If so, identify the similarity postulate or theorem that
applies.
A
B
16 105⁰
36
с
D
4
LLI
E
9
-105⁰
F
OA. Similar - AA
OB. Similar - SSS
OC. Similar - SAS
OD. Cannot be determined
4

Answers

Answer:

C

Step-by-step explanation:

C is the correct answer as both triangles have a similar angle of 105⁰ and both side lengths of triangle ABC are being divided by 4 to have the same two side lengths as triangle DEF

The triangles ΔABC and ΔDEF are similar triangles by SAS theorem

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔABC

The measure of side AB = 16

The measure of side AC = 36

And , the measure of ∠ABC = 105°

Let the first triangle be ΔDEF

The measure of side DE = 16

The measure of side DF = 36

And , the measure of ∠DEF = 105°

Now , the ratio of sides of the triangles is given by

AB / DE = AC / DF

4/16 = 9/36

1/4 = 1/4

So , corresponding sides of similar triangles are in the same ratio

And , the measure of angles = 105°

Therefore , by SAS , Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

Hence , they are similar triangles

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ5

What is the value of x?
E
(2x)°

D

Answers

Answer:

30°

Step-by-step explanation:

Since ED = FD, the ∠DEF = ∠EFD
Since ∠DEF = 2x, ∠EFD is also equal to 2x
The sum of the 3 angles of a triangle is 180°

So x + 2x + 2x = 180
6x = 180
x = 30

Using Triangle Congruence Theorems

Answers

There are a total of five theorems congruent triangles. They are summarized as:

SASSSSAASRHS and ASA.

What are the definitions of the Theorems of Congruent Triangles?

SAS - Side Angle Side

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

SSS - Side Side Side Rule

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are proportional to the size three sides of the second triangle.

AAS - Angle Angle Side Rule
Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the comparable angles and sides of another triangle.

ASA - Angle Side Angle rule

According to the ASA rule, two triangles are said to be congruent if any two angles and the side contained between the angles of one triangle are proportional to the size two angles and side included in between angles of the second triangle.

RHS - Right Angle- Hypotenuse side Rule

According to the RHS rule, two right triangles are said to be equivalent if their hypotenuses and one of their sides are identical to those of another right-angled triangle.

Learn more about theorems of congruent triangles at:
https://brainly.com/question/2102943
#SPJ1

Answer:

AD=BC (given)

DC=DC (reflexive property)

DE=CE (converse of isosceles triangle thm)

<BCD=<ADC (given)

<ECD=<EDC (CPCTC)

TriangleADC=TriangleBCD (SAS)

statement that is assumed to be true without proof is . A statement that has been shown to be true by vigorous application of logic is . is a statement that is believed to be true but hasn't been proven.

Answers

An axiom is a statement that is assumed to be true without proof.

What are the types of statements?

In logic, a statement could be shown to be valid or true by the use of premises that lead to a sound conclusion.

The following terms can be used to describe the statements;

Axiom -  a statement that is assumed to be true without proofTheorem - a statement that has been shown to be true by vigorous application of logicHypothesis -  a statement that is believed to be true but hasn't been proven.

Learn more about mathematical statements:https://brainly.com/question/17029275?

#SPJ1

Answer:

The answer is axiom, theorem, and then conjecture

Step-by-step explanation:

In the last three years Frederic’s basketball team win 40 more games than they lost

Answers

Answer:

Wht is the total matches they played?

If Jenny walks 2 miles in 40 minutes, then Jenny will walk how far in 100
minutes if she walks at the same speed the whole time? If necessary, round
your answer to the nearest tenth of a mile.

Answers

Answer:

Five miles

Step-by-step explanation:

if 2=40 then 1=20 so 5=100

PLEASE HELPP!!!!!
Question 9 of 13
Which of the following scatterplots represents the data shown below?
(1,31), (2,8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27), (8, 47),
(9,34), (10,3), (11, 33), (12, 35)

Answers

The attached graph below can represent the scatter plot of the points. the correct option is B.

How to find the function which was used to make graph?

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

Given:

(1,31), (2,8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27), (8, 47), (9,34), (10,3), (11, 33), (12, 35)

The above points would be plotted using the following scale such as:

x: axis -> 1 interval = 10 units

y: axis -> 1 interval = 10 units

The attached graph below can represent the scatter plot of the points. the correct option is B.

Read more about scatter plots at:

brainly.com/question/6592115

#SPJ1

A comedy club's nightly revenue from the sale of x tickets is given by R = 15x and its
nightly costs are given by C= 1.25x + 495. How many tickets need to be sold each night
to break even? In other words, when will revenue equal costs?

Answers

Considering the given equations for the revenue and the cost, it is found that 36 tickets have to be sold each night to break even.

What is the break-even point?

The break-even point is when the revenue and the costs are equal.

In this problem, the equations are given as follows:

R(x) = 15x.C(x) = 1.25x + 495.

At the break-even point:

R(x) = C(x)

15x = 1.25x + 495

13.75x = 495

x = 495/13.75

x = 36.

36 tickets have to be sold each night to break even.

More can be learned about break-even point at https://brainly.com/question/9212451

#SPJ1

Help me with this question please!! :)

Answers

Answer: 13/69

Step-by-step explanation:

13 students are female and got a B out of a total of 69 students, so the probability is 13/69

3xy - ² + 4x for x = -2, y = - and = 6?

Answers

Answer:

See below

Step-by-step explanation:

Not sure what you are asking....do you want to know what y is when x = -2   and the equation = 6 ?

3 xy^2 + 4x = 6         or is that    3 xy^(-2) + 4x = 6

Could use some serious editing of your question if you are able ....

Can anyone Help I have 25 questions, 2hr 40mins remaining,

Answers

Combining the like-terms, the result of the addition of polynomials f(x) and g(x) is given by:

[tex]f(x) + g(x) = 21x^3 + \frac{5}{4}x^{\frac{1}{2}} + 19x^{-\frac{1}{4}} + 8x^{-4}[/tex]

How do we add polynomials?

We add polynomials combining the like-terms, that is, adding terms with the same exponent.

In this problem, the polynomials are:

[tex]f(x) = 3x^{\frac{1}{2}} + 7x^{-\frac{1}{4}} + 8x^{-4}[/tex][tex]g(x) = -\frac{7}{4}x^{\frac{1}{2}} + 12x^{-\frac{1}{4}} - 21x^3[/tex]

Combining the like terms, the addition is given by:

[tex]f(x) + g(x) = \left(3 - \frac{7}{4}\right)x^{\frac{1}{2}} + (7 + 12)x^{-\frac{1}{4}} + 8x^{-4} + 21x^3[/tex]

[tex]f(x) + g(x) = 21x^3 + \frac{5}{4}x^{\frac{1}{2}} + 19x^{-\frac{1}{4}} + 8x^{-4}[/tex]

More can be learned about addition of polynomials at https://brainly.com/question/9438778

#SPJ1

The surface area of a square pyramid is 189 square inches. The side length of the base is 7. What is the value of the height?

Answers

The value of the height of the prism is 8.68 inches

Surface of a square pyramid

The surface area is the sum of the area of the faces.

The formula for calculating the surface area of the pyramid is;

TSA  = [tex]a^2+2a\sqrt{\frac{a^2}{4} + h^2}[/tex]

where

a is the side length. = 7in

h is the height

Substitute

[tex]189=7^2+2(7)\sqrt{\frac{7^2}{2} + h^2} \\189=49+14\sqrt{\frac{49}{2} + h^2}\\140=14\sqrt{\frac{49}{2} + h^2}\\10=\sqrt{\frac{49}{2} + h^2}\\[/tex]

Square both sides to have

100 = 49/2 + h²

h² = 100 - 49/2

h² = 151/2

h² = 75.5

h = 8.68in

Hence the value of the height of the prism is 8.68 inches

Learn more on surface area here; https://brainly.com/question/1297098

#SPJ1

evaluate -5+(-3)^2+2

Answers

Answer:6

Step-by-step explanation:at first calculate (-3)^2=9

then 9+2=11

finally the answer is 11-5=6

Answer:

6

Step-by-step explanation:

Given Problem:

[tex]-5+(-3)^2+2[/tex]

Using the PEMDAS order of operation:

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Thus, Solving in parentheses first.

[tex]-5+(-3)^2+2[/tex]

[tex](-3)^2=9[/tex]

[tex]-5+9+2=[/tex]

[tex]-5+11=[/tex]

[tex]6[/tex]

Hence, the answer to [tex]-5+(-3)^2+2=6[/tex]

RevyBreeze

A carpenter wants to cut an 84 inches long board into two-pieces such that one piece is twice as long as the other piece. Set up an equation and find the length of each piece.

Answers

It’s not an equation but the shorter piece would be 28 inches and the longer piece would be 56 inches

Answer:

small piece = 28 inches

large piece = 56 inches

Step-by-step explanation:

The carpenter has one piece of wood 84 inches long. He wants to cut that piece of wood into two pieces. One piece will be 2 times as long as the other. Let's let x = the small piece of wood

2x + x = 84

In this equation, the longer piece is 2 times the shorter piece and the shorter piece is added, which equals 84 inches. Lets solve:

2x + x = 84

3x = 84

3x/3 = 84/3

x = 28

This means that the shorter piece is 28 inches. To find the longer piece, multiply 28 by 2 because the longer piece is twice the shorter piece. Therefore the longer piece is

28 × 2 = 56

Finally, we figured out that the short piece is 28 inches and the longer piece is 56 inches

We can double check this by doing 56 + 28 and making sure it equals 84

Help me with this question please!!!

Answers

Answer: 98.5

Step-by-step explanation:

There were 942 people in total, 928 of which recognized Exxon.

So, the probability is 928/942, which is about 98.5%

The probability of random consumers knowing of exon will be 98.5%.

What is probability?

Probability helps us to know the chances of an event occurring.

[tex]P =\dfrac{Desired \ Outcomes}{Possible outcomes}[/tex]

Given that:-

928 consumers knew exon and 14 did not.

The probability will be calculated as:-

Total consumers are 942 out of which 928 knew exon and 14 did not.

P = 928 / 942

P = 0.985

P = 98.5%

Therefore the probability of random consumers knowing of exon will be 98.5%.

Learn more about Probability:

brainly.com/question/795909

#SPJ1

Find the value of: (4/5)^1 A. 4/5 B. 1 C. 0 D. 16/25​

Answers

Answer:

A. 4/5

Step-by-step explanation:

Answer:

4/5  (option a)

Step-by-step explanation:

by following the exponent rule of [tex]a^1 = a[/tex], we know that

[tex](\frac{4}{5} )^1[/tex] = [tex]\frac{4}{5}[/tex]

So, the value of

[tex]\frac{4}{5}^{1}[/tex]  is  4/5

4x² + 24x + 20
common factor =

Answers

The common factor is 4

Simplify the root below
\frac{a}{b} \sqrt[]{ \frac{405}{324} }

Answers

Answer:

  (√5)/2

Step-by-step explanation:

To simplify the root, we remove perfect squares.

__

Factors that are the same in numerator and denominator cancel. A square under the radical can have its root brought out of the radical.

  [tex]\sqrt{\dfrac{405}{324}}=\sqrt{\dfrac{9^2\cdot5}{9^2\cdot2^2}}=\boxed{\dfrac{\sqrt{5}}{2}}[/tex]

what is golden ratio, and explain it's history

Answers

Answer:

The golden ratio is a proper term in the field of mathematics, but it finally covers more than the research in the field of mathematics. According to the current literature discussion, we can say that the discovery of the Golden ratio and how it evolved is still a mystery. But studies have shown that the Pythagorean school of ancient Greece in the 6th century BC studied the formation of regular 5-sided and regular 10-sided plots, leading modern mathematicians to conclude that the Pythagorean school had touched on and even mastered some of the rules of the golden ratio and also discovered irrational numbers. It focuses on the relationship from mathematics, to explore the principle of beauty and that beauty is harmony and proportion, according to the proportional relationship can form beautiful patterns, this is actually a digital proportional relations, the line is divided into two parts, a long and a short period of the ratio of the equal to the ratio of length to a long, their proportion is around 1.618:1, This mathematical principle is also embodied in the famous Frederikian sequence, in which everything in this proportion shows the harmony and balance of its internal relations.

In the 4th century BC, the Greek mathematician Eudoxus was the first to systematically study this problem and establish the theory of proportion. Around 300 BC, Euclid absorbed the research results of Eudoxus in writing The Elements of Geometry and further systematically discussed the Golden Section, which became the earliest treatise on the golden Section (i.e. the middle and the end ratio) [5].

After the Middle Ages, the golden ratio was shrouded in mystery. Italian mathematician Luca Pacioli called the middle and the end of the ratio sacred and wrote a book about it. The German astronomer Johannes Kepler called the divine ratio the Golden Ratio. Golden in the 19th century the name only gradually, and the evidence is that German mathematician Martin Ohm (English: Martin Ohm) wrote the second edition of the basic pure mathematics annotation wrote about the interpretation of the golden ratio: "people used to put any straight line along the way will be divided into two parts, the method of known as the golden mean". And in the ninth edition of the Encyclopaedia Britannica, published in 1875, Sully notes: "The interesting, experimental and strong idea put forward by Frederick... proclaimed the supposed superiority of the 'golden Section' in visual proportion." So the Golden Section was already popular. In the 20th century, American mathematician Mark Barr gave it the name Phi. The Golden Section has many interesting properties and has been widely used by humans to make it famous today. The most famous example is the golden ratio or 0.618 method in optimization, which is first proposed in 1953 by Jack Kiefer (English: Jack Kiefer), an American mathematician, and is promoted in China in 1970s.

HELP TO ASAP Compare the graph of f(x) with the graph of k(x) = 5(x-6)².
OA. The graph of k(x) is horizontally stretched by a factor of 5 and
shifted 6 units right.
OB. The graph of k(x) is vertically stretched by a factor of 5 and shifted
6 units right.
OC. The graph of k(x) is horizontally stretched by a factor of 5 and
shifted 6 units left.

Answers

Parent function

y=x²

Now look the transformations

y=(x-6)²

x is changed and shifted 6 units right

Then

y=5(x-6)²

Horizontally Streched with a factor of 5

Answer:

B)  The graph of k(x) is vertically stretched by a factor of 5 and shifted 6 units right.

Step-by-step explanation:

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

Given functions:

[tex]f(x) = x^2[/tex]

[tex]k(x) = 5(x - 6)^2[/tex]

Parent function:  [tex]f(x) = x^2[/tex]

Translated 6 units right:  [tex]f(x-6)=(x-6)^2[/tex]

Then stretched vertically by a factor of 5:   [tex]5f(x-6)=5(x-6)^2[/tex]

[tex]\implies 5f(x-6)=5(x-6)^2=k(x)[/tex]

Therefore, the graph of k(x) is vertically stretched by a factor of 5 and shifted 6 units right.

Learn more about translations here:

https://brainly.com/question/27845947

Consider the two savings plans below. Compare the balances in each year after 14 years. Which person deposited more money in the plan? Which of the two investment strategies is better?

Yolanda deposits $250 per month in an account with an APR of 4%, while Zach deposits $3000 at the end of each year in an account with an APR of 4%

Answers

The balance in Yolanda's saving plan after 14 years is; $9,455.36

How to calculate future value?

We want to find the balance in Yolanda's saving plan after 14 years.

For Yolanda;

PV = 0

PMT = 250

i% = 4%/12 = 0.33%

N = 14 yrs * 12 = 168

FV = ?

For Zach:

PV = 0

PMT = $3300

i% = 4%

N = 14 yrs

FV = ?

From online future value calculator, we have;

Yolanda FV = $9,455.36

Zach FV = $47,204.19

Read more about Future Value at; https://brainly.com/question/24703884

#SPJ1

Find the area of a 150° sector of a circle whose radius is 3.

Answers

Answer: [tex]\frac{15\pi}{4}[/tex]

Step-by-step explanation:

[tex]A=\pi(3^{2})\left(\frac{150}{360} \right)=\boxed{\frac{15\pi}{4}}[/tex]

g(x) f(x) = −6x − 3 cosine function with y intercept at 0, negative 3 h(x) = 2 cos(x + π) − 1 Using complete sentences, explain which function has the greatest y-intercept. (10 points)

full step by step process please.

Answers

A function assigns the values. The function that has the greatest y-intercept is h(x).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

There are three function, g(x){given in the graph below}, f(x)= -6x-3, and -3h(x) = 2 cos(x + π) − 1, the y-intercept of the function is the point at which the graph intersects the y-axis. Therefore, the y-intercept are,

g(x) = -3

f(x) = -3

h(x) = 1

Hence, the function that has the greatest y-intercept is h(x).

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

2
What is the equation of the line that is perpendicular to y=x+4 and that passes through (5,-4)?
--5v-20
K

Answers

Perpendicular lines have slopes that are negative reciprocals of each other, so since the slope of the given line is 1, the slope of the line we want to find is -1.

Substituting into point-slope form,

[tex]y+4=-1(x-5)\\\\y+4=-x+5\\\\\boxed{y=-x+1}[/tex]

Mrs. Juergen's class is building a model city from craft sticks. each house requires 267 sticks. the class will build 93 houses. About how many sticks will be needed?​

Answers

all you need to do is 267 times 93 to get the exact answer. the questions says ABOUT how many sticks so we can round the numbers. we can turn 267 into 270 and 93 into 90 and then multiply 270 by 90 to get 24,300 popsicle sticks

What are the roots for the quadratic equation below?

3x^2+9x-2=0

Answers

Answer:

[tex]\sf{$a)$} \ x=\dfrac{-9\pm\sqrt{105}}{6}[/tex]

Step-by-step explanation:

Quadratic formula: [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Quadratic equation: ax² + bx + c = 0, where a ≠ 0

Given: 3x² + 9x - 2 = 0

⇒ a = 3, b = 9, c = -2

Substitute the given values into the formula and simplify:

[tex]x=\dfrac{-9\pm\sqrt{9^2-4(3)(-2)}}{2(3)}\\\\x=\dfrac{-9\pm\sqrt{81+24}}{6}\\\\x=\dfrac{-9\pm\sqrt{105}}{6}[/tex]

Therefore, the correct answer is A.

Learn more about quadratic equations here:
brainly.com/question/27638369

brainly.com/question/27740685

What is the value of this expression when c = -4 and d = 10?


A.
2
B.
9
C.
21
D.
41

Answers

The complete question is

"What is the value of this expression when c= -4 and d= 10?

1/4 (c^3+d²)

A.2

B.9

C.21

D.41"

The value of this expression when c = -4 and d = 10 will be option B 9.

What is a simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

The given expression is

[tex]1/4 (c^3+d^2)\\\\1/4 ((-4)^3+(10)^2)\\\\1/4 ( -64 + 100)\\\\1/4 (36)\\\\9[/tex]

Hence, the value of this expression when c = -4 and d = 10 will be option B 9.

Learn more about an expression here:

https://brainly.com/question/1249625

#SPJ1

This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!

Answers

Step-by-step explanation:

[tex]29 {}^{ \frac{x}{2} } [/tex]

[tex]((29) {}^{ \frac{1}{2} } ) {}^{x} [/tex]

The answer is A

Other Questions
If there is gene flow between two adjacent populations of the same species, then the two populations will Which of the following linear equations represents the data chart? X Y 1 6 2 5 3 4 4 3y=x+5y=x+3y = -x + 7None of these choices are correct. How was Japan easily able to defeat China in the Sino-Japanese War?Japan's military was better trained and equipped. China surrendered quickly.O China had fewer troops. Japan enlisted the help of its allies in Europe. Which type of essay would be used toconvince readers to brush their teethevery day?A. expository essayB. formal personal essayC. informal personal essayD. persuasive essay Why did aunt lossy slapped the boy What should be added to (-10) to get (+10) Put the steps of the scientific method in order.A. Question -> Research -> Hypothesis -> Experiment -> Analysis -> ConclusionB. Research -> Hypothesis -> Experiment ->Question -> Conclusion -> AnalysisC. Research -> Question -> Hypothesis -> Experiment -> Analysis -> ConclusionD. Hypothesis -> Experiment -> Conclusion -> Question -> Research -> Analysis What is the ratio of the weight of two castings that weigh 32 lbs. and 38 lbs How many different committeeswith 4 members can be formedfrom a group of 8 people? what choices are solutions to equation below x^-7x=-24/4check all that applya. x=2b. x=6c. x=1d. x=12 The development of a nationwide computerized job bank listing of all job openings would be most likely to reduce: Group of answer choices frictional unemployment. seasonal unemployment. natural unemployment. cyclical unemployment. What is the innermost layer of an artery wall called? the senior high school where you had admission offered you a course that you do no prefer .write a letter to the headmaster giving three reason why you request the course to be changed Are microorganisms best suited for dry, warm environments? A scientist is examining a simple multicellular organism with a nucleus and specialized organelles that was found in a moist environment. What kingdom does this organism belong to?. 2. Which type of customer do business marketers NOT serve On this number line, zero represents sea level. Plot the following points based on the description provided by dragging and dropping the dots to the appropriate locations on the number line.greatest common factor of 8 and 12where does this go on the number line Interesting setting for superheroes .Why this setting is interesting?(A lot of different settings 5-20.) Christopher Columbus took three ships on his first trip the Nina, the Pinta, and the ________?A. BelleB. La IsabellaC. Santa MariaD. Santa Marta Access to the new media has given people more power to challenge existing power structures. Evaluate this view.