A random sample of nı = 19 securities in Economy A produced mean returns of X 1 = 6.6% with sı = 2.3% while another random sample of n2 = 22 securities in Economy B produced mean returns of # 2 = 5% with s2 = 7.7%. Construct a 98% confidence interval estimate for pl H2 Assume that the samples are independent and randomly selected from normal populations with unequal population variances (012 + 022). T-Distribution Table % % < (H 1 - 2) < Round to two decimal places if necessary

The physical layout of Alcoa Corporation's headquarters, with minimal traditional offices, open-air escalators, and low-walled cubicles, encourages an open and collaborative culture.

The physical layout of Alcoa Corporation's headquarters, characterized by the minimal number of traditional offices, open-air escalators, and low-walled cubicles, fosters an open and collaborative culture within the organization. The absence of traditional offices with four walls and a door eliminates physical barriers and promotes accessibility and visibility among employees. This layout encourages communication, interest, and collaboration, as employees are more likely to engage with one another in an open workspace.

The placement of elevators in out-of-the-way alcoves and the presence of an open-air escalator in the center of the building encourage employees to move around, interact with colleagues from different departments, and engage in impromptu conversations, fostering a sense of community and teamwork.

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Answer:

answers highlighted in yellow, hope this helps!

Step-by-step explanation:

Simply substitute the value of 3 given. In other words,

f(3) is the function of

f(x), however, in this case, x is 3

f(3)=3(3)−4

Distribute 3 through the parenthesis

f(3)=9−4

Simplify

f(3)=5

Answer:

y=3/4x+17/4

Step-by-step explanation:

Answer:

y = (3/4)x + 17/4

Step-by-step explanation:

The slope-intercept form of the equation of the line is  y = ax + b

This line passes (-3, 2) and (1, 5)

=> 2 = a(-3) + b

=> 5 = a(1) + b

Subtraction 1st equation from 2nd equation, we have:

3 = 4a

=> a = 3/4

From 2nd equation, we have: 5 = 3/4 + b

=> b = 5 - 3/4 = 17/4

=> y = (3/4)x + 17/4

Hope this helps!

As the side length increases by 1, the area does not increase or decrease by an equal amount.

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.

As shown in the graph, the area values are not constantly increasing or decreasing, at 2 values of side length, area is same, at the side length= 9 inches, there is no area at all..

So,  

As the side length increases by 1, the area does not increase or decrease by an equal amount.

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Answer:

 D. √3 ; 2

Step-by-step explanation:

 30/60/90 triangles have sides of 1/√3/2 respectfully.

30 pairs with 1, 60 pairs with √3, 90 pairs with 2.

the angles pair with whatever side it is directly diagonal to.

i hope this helped you in some way! let me know if you are confused.

edit: my brainly keeps messing up my text

Answer:

hotdogs: 34

sodas: 102

Step-by-step explanation:

At a basketball game, a vender sold a total of 136 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of hot dogs sold. Hint: it's not zero.

Let x be the number of hot dogs sold and y be the number of sodas sold. Then we have two equations:

x + y = 136

y = 3x

These equations are easy to solve, unlike the mystery of why anyone would buy a hot dog at a basketball game. Seriously, who does that? Anyway, substituting y = 3x into the first equation, we get:

x + 3x = 136

4x = 136

x = 34

Therefore, the number of hot dogs sold was 34. That's 34 people who made a questionable choice. To find the number of sodas sold, we can use y = 3x and get:

y = 3(34)

y = 102

Therefore, the number of sodas sold was 102. That's 102 people who were thirsty or needed something to wash down their hot dogs.

Answer:

Step-by-step explanation:

Lets call the number of sodas sold as x and number of hotdogs sold as y .

so based on the problem, we have :  

by substituting the second equation in first equation :

3y+y=136⇒ 4y=136⇒ y = 34

so the number of hotdogs sold is 34

since the number of sodas was three times the number of hotdogs, we have :

x=3×y=3×34=102 ⇒ x=102

so the number of sodas sold is 102

The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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Answer:

No solution

Step-by-step explanation:

The reason why I say this problem has no solution is due to the fact that it says only one person may go on Saturday yet some fraction of the people between the numbers 1 - 14 can go. We have no idea what this fraction is, leading to a paradox of multiple equations and guesses desperately trying to figure out the number. Thus, the problem has no solution.

Hope this helps.

The composite functions are f(g(0)) = 12 and g(f(0)) = 8 when f(x)=3x+6,g(x)=2−x

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

f(x)=3x+6,g(x)=2−x

So, we have the following equations

f(g(x)) = 3(2 - x) + 6

f(g(0)) = 3(2 - 0) + 6

f(g(0)) = 12

Also, we have

g(f(x)) = 2 - 3x + 6

g(f(0)) = 2 - 3(0) + 6

g(f(0)) = 8

Hence, the composite functions are f(g(0)) = 12 and g(f(0)) = 8

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Answer:

Area of the given fan is 763.4 cm²

Step-by-step explanation:

Area of a sector in a circle = \(\frac{\theta}{360}(\pi r^2)\)

Here, angle θ = Central angle subtended by the arc

r = Radius of the circle

Since, fan is in the form of a sector of a circle with radius = 27 cm

Measure of the central angle subtended by the arc FN = ∠FAN = 120°

Area of the fan = \(\frac{120}{360}(\pi )(27)^2\)

                         = \(\frac{729\pi }{3}\)

                         = 243π

                         = 763.407

                         ≈ 763.4 cm²

Therefore, area of the given fan is 763.4 cm²

Answer:

x = ±√3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

x² - 8 + 16 = 11

Step 2: Solve for x

The next operation that should be done when evaluating this expression 9-12+-2+3(-3) is A. 3(-3)=-9

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

In this case, it should be noted that the expression given is written as 9-12+-2+3(-3). In PEDMAS, the first operation is parentheses. Therefore, the number on parentheses will be solved first.

In this case, the number in parentheses will be 3(-3). Therefore, the correct option is A.

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y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

It is given in the question that: Net exports $4 Net foreign factor income 2 Investment 185 Government spending 195 Consumption 500 Depreciation 59. Therefore, GDP is $884, GNP is $886, and NDP is $825.

In order to calculate GDP, GNP, and NDP using the given data; we will use the formulas:

GDP = Consumption + Investment + Government spending + Net exports

GNP = GDP + Net foreign factor income

NDP = GDP - Depreciation

Given, Net exports = $4

Net foreign factor income = 2Investment = 185

Government spending = 195

Consumption = 500

Depreciation = 59GDP = Consumption + Investment + Government spending + Net exports

GDP = $500 + $185 + $195 + $4 = $884GNP = GDP + Net foreign factor income

GNP = $884 + $2 = $886NDP = GDP - Depreciation

NDP = $884 - $59 = $825

Therefore, GDP is $884, GNP is $886, and NDP is $825

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Answer:

3.26

Step-by-step explanation:

33.5/3.14 = 10.66 ( when rounded to the nearest tenth).

10.66 square rooted is 3.26

The required radius of the sphere is 2 inch.

Volume of sphere = 33.5 cubic inches . Radius of sphere to be determine.

Volume, is defined as mass gained per unit cube of density.

Here, area of sphere = \(4/3\pi r^3\)

                         33.5 = 4/3 πr³
                              r³ = 33.5 * 3/4π
                              r  = 2

Thus, the required radius of the sphere is 2 inch.

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The probability that a student chosen at random has a cat or a dog is; P(cat or dog) = 22/25.

What is probability?

Probability is that the branch of arithmetic regarding numerical descriptions of however probably an incident is to occur, or however probably it's that a proposition is true. The likelihood of an incident could be a range between 0 and 1.

Main body:

According to the question, the total number of students is; 25.

15 of them have a cat

16 of them have a dog

while, 3 of them have neither

where, x = number if students who own a cat and a dog.

Consequently, the total number of students who own a cat, a dog, both or neither is as follows;

15-x + x + 16-x + 3 = 25.

-x = 25 - 34

In essence, x = 9

the number of students who own a cat and a dog is 9.

Therefore, probability that a student chosen at random has a cat and a dog is therefore;

P(cat and dog) = 9/25.

Therefore probability that a student chosen at random has a cat or a dog is 22/25.

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Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Answer:

$12.45

Step-by-step explanation:

To find the rental cost, plug in 30 as x

c(x) = 0.09x + 9.75

c(30) = 0.09(30) + 9.75

c(30) = 12.45

So, the total rental cost for 30 miles is $12.45

The value of the directrix is -5/4.

According to the statement

we have given that the equation of parabola is y2 = 5x. And we have to find that the which equation represents the directrix.

We know that the general equation of parabola is

(y - k)2 = 4a(x - h)  -(1)

and given parabola equation is

y2 = 5x.  -(2)

After comparing the both equations we get k=0 and h=0

And the formula to find the directrix is

x = h - a

Substitute the values of h and a in it then

x = 0-5/4

x = -5/4.

Here the directrix is -5/4.

So, The value of the directrix is -5/4.

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Answer:

[(5z+3 -3z)5z+3 - 3z

combine 5z and _3z to get 2z

(2z+3)x5z +3 - 3z

use the distributive property to multiply 2z + 3 by 5

(10z + 15)z + 3 - 3z

use the distributive property to multiply 10z+15 by z

10z2+15z+3-3z

combine 15z and -3z to get 12z

10z2+12z+3

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

multiply all the sides

24

3

72

Answer:

x.1 y.25

x.3 y.17

x.5 y.9

x.6 y.5

Step-by-step explanation:

The required equation in​ point-slope form of the line that passes through the given point (-3,1) is y=6x + 19  in point slope form that has slope =6 .

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

The given points of the line is

(-3,1)

m=6

According to given question we have

By the slope of the equation we get

y=mx + c

1=(6)(-3) + b

1+18= b

b=19

The equation is  y=6x + 19.

Therefore, the required equation in​ point-slope form of the line that passes through the given point (-3,1) is y=6x + 19  in point slope form that has slope =6 .

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Answer: area=8cm

Step-by-step explanation:

Answer:

a) Area of shape = 8 square cm.

Step-by-step explanation:

Area of composite shape:

      Area of shape = area of rectangle + 2* area of triangle

         l = 3 cm ; w = 2 cm

\(\sf \boxed{\text{Area of rectangle = l *w}}\)

                             = 3 * 2

                             = 6 cm²

Triangle:

     b = 2 cm

     h = 1 cm

\(\sf \boxed{\text{Area of triangle=$\dfrac{1}{2}*b*h$}}\)

                         \(\sf = \dfrac{1}{2}*2*1\\\\\\ = 1 \ cm^2\)

Area of two triangles = 2 *1

                                    = 2 cm²

Area of shape = 6 + 2

                        = 8 cm²

b) Area of rectangle ABCD = 4 * 2

                                             = 8 cm²

Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.

The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.

The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.

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