There are six households in a rural community. Each household earns $40,000 per year. Suppose that a new resident builds a mansion in the community and that the income in the new household is $4 million per year. After the new resident arrives, the median household income has _____, and the mean household income has _____. increased; increased not changed; increased not changed; not changed increased; not changed

Answers

Answer 1

Answer:

Median income has not changed

Mean income has increased

Step-by-step explanation:

Initial number of houses = 6

Earning per household = $40,000

The initial mean :

$(40,000 * 6) / 6 = $40000

Initial median :

40000, 40000, 40000, 40000, 40000, 40000

= 1/2(n+1)th term,

Median = 40000

A 7th household earns 4,000,000

Mean = ((40000*6) + 4,000,000) / 7 = $605,714

Median = 1/2(n+1)th term

40000, 40000, 40000, 40000, 40000, 40000, 4000000

Median = 4th term = 40000


Related Questions

Adam borrowed $16,780 at 12.5 percent for 10 years. What is his monthly payment?

A: $240.31
B: $245.83
C: $230.12
D: $229.81

Answers

ANSWER:

245.83

Step-by-step explanation:

16,780/100=167.8

167.8 x 1.465= 245.827

Using unitary method, Adam's monthly payment is 245.83 dollar.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Monthly payment with 12.5% interest rate for 10 years per 100 dollar is 1.465 dollar.

Monthly payment with 12.5% interest rate for 10 years per 1 dollar is 0.01465 dollar.

Monthly payment with 12.5% interest rate for 10 years per 16780 dollar is 1.465 * 16780 dollar = 245.83 dollar.

Learn more about unitary method here

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Evaluate the expression when x= -2.
х2+бх+9​

Answers

Answer:

1

Step-by-step explanation:

x = - 2

x^2 + 6x + 9

= ( - 2 )^2 + 6 ( - 2 ) + 9

= 4 - 12 + 9

= 4 + 9 - 12

= 13 - 12

= 1

You want to open a checking account at your local bank which offers two options. A standard checking account charges $6 each month plus $.25 for each check written. A select checking account charges $4.50 each month plus $.50 for each check written. Which system of equations can be used to determine the number x of checks that must be written in a month in order for the total charges y for the two checking accounts to be the same?

Answers

Answer:

The total charges for the two checking accounts will be the same after 6 checks written.

Step-by-step explanation:

Since I want to open a checking account at my local bank which offers two options, a standard checking account that charges $ 6 each month plus $ 0.25 for each check written, and a select checking account that charges $ 4.50 each month plus $ 0.50 for each check written, to determine which system of equations can be used to determine the number X of checks that must be written in a month in order for the total charges Y for the two checking accounts to be the same, the following calculation must be performed:

6 + 0.25X = Y

4.5 + 0.5X = Y

6 + 0.25x5 = Y

4.5 + 0.5x5 = Y

6 + 1.25 = Y = 7.25

4.5 + 2.50 = 7

6 + 0.25x6 = Y

4.5 + 0.5x6 = Y

6 + 1.50 = Y = 7.50

4.5 + 3 = 7.50

Therefore, the total charges for the two checking accounts will be the same after 6 checks written.

What is equavalent 3 11/40.
The best estimate close to this answer 3 11/40
A. 2 1/2
B. 3 Plzz help me
C. 3 1/2
D. 4

Answers

Answer:

C. 3 1/2

Step-by-step explanation:

Estimate the fraction part of the number.

11/40 > 10/40 = 1/4

We can estimate the fraction part as 1/2 since its greater than 1/4.

The number becomes 3 1/2.

Best choice is C

Answer:

11/40>10/40=1/4 is a part of ½

so

best estimate is 3 ½.

Find five consecutive odd numbers where the sum of the first three numbers is 15 greater than the sum of the final two numbers.

Answers

Answer:

the consecutive numbers are: 23, 25, 27, 29, 31.

Step-by-step explanation:

23+25+27 is 75

29+31 is 60

75-60 is 15

The high school is 3.6 inches from the middle school on a map. Each half inch on the map represents 0.4 mile. What is the actual distance between the two schools?
2.88 miles
4.5 miles
7.2 miles
9 miles

Answers

Answer:

2.88 miles

Step-by-step explanation:

because 3.6/.5 = 7.2

then 7.2 × .4 = 2.88

Find the area of each figure. Round to the nearest tenth if necessary.

Answers

Answer:

1. semicircle=14.1372mm

parallelogram=40 mm

54.1372 mm^2

2. 180 ft

hope this helps

have a good day :)

Step-by-step explanation:

Give the coordinates of point D.


A. (-2,-4)
B. (-4,2)
C. (-4,-2)
D. (4, -2)

Answers

C. (-4,-2)

explanation:

∫eˣ²dx find integral show all steps​

Answers

Answer:

[tex] \int \: e {}^{x {}^{2} } dx \\ y = {e}^{ {x}^{2} } \\ ln(y) = {x}^{2} \\ \frac{dy}{y} = 2xdx \\ dy/2x = {e}^{ {x}^{2} } dx \\ \int \: d( {e}^{ {x}^{2} } ) = \int {e}^{ {x}^{2} } .2xdx \\ \frac{{e}^{ {x}^{2} } }{2x} = \int \: {e}^{ {x}^{2} } dx \\ \int \: {e}^{ {x}^{2} } dx \: = \frac{1}{2x} {e}^{ {x}^{2} } + c[/tex]

The data are from a small moving company that moves people from urban apartment buildings to other urban apartment building in the same or different cities. The company needs assistance in predicting the labor hours for jobs so they can provide more accurate price quotes.
Run two separate regressions using the data in the sections of the spreadsheet titled Regression Model 1 and Regression Model 2. Use a 95% confidence level.
Fill in all the blanks below. Do not round any numbers except for when entering them in the blanks for this quiz, round these numbers to exactly 2 decimal places even if the number has only one or no decimal places. Use commas to separate thousands (e.g., 1225 should be entered as 1,225.00).
Regression Model 1
R Square expressed as a percentage rounded and carried out to two decimal places is ________% and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is _______%. Refer to the spreadsheet embedded in your Module 14 Regression document I provided you to see the calculation and format for answering this next question. The gap between R Square and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is 0.______%.
The overall regression model (was / was not) _______ significant.
Using square footage of 1,500 and mileage of 92, the model estimates that ______ hours of labor would be required, with a margin of error of _________ hours.
Regression Model 2
R Square expressed as a percentage rounded and carried out to two decimal places is _______% and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is _______%. Refer to the spreadsheet embedded in your Module 14 Regression document I provided you to see the calculation and format for answering this next question. The gap between R Square and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is 0.________%.
The overall regression model (was / was not) __________ significant.
Using square footage of 1,500, mileage of 92, and floors of 71, the model estimates that _________ hours of labor would be required, with a margin of error of ________ hours.
Model Selection
Because the R Square is (higher / lower) _________ in regression model 1 than in regression model 2 and the gap between R Square and Adjusted R Square is (smaller / larger) in regression model 1 than in regression model 2 _________ and the margin of error of the estimated labor hours is (smaller / larger) _________ in regression model 1 than in regression model 2 , we would characterize regression model (1 or 2) ___________ as being the better model.


Answers

Answer:

I wish I can read all the text

CAN SOMEONE TELL ME WHAT THIS IS PLEASE

Answers

Answer:

A = 533.8 square inches

Step-by-step explanation:

Use the surface area of a cylinder formula (A=2πrh+2πr^2)

Plug in 12 for h and 5 for r

Use 3.14 in replace for π

A = 2(3.14)(5)(12) + 2(3.14)(5)^2

A = 533.8 in^2

Step-by-step explanation:

55 square inches tall is the average cost of a house in the morning po everything is the same as


[tex](w + \frac{4}{w} ) {}^{2} [/tex]

Answers

Answer:

W^2 + 8w/w + 16/x^2

Explanation:

The measure of an angle is 89. Find the measure of its supplement
a. 91
b. 89
c. 90
d. 80

Answers

Answer:

A. 91

Step-by-step explanation:

Supplementary angles are 2 angles that when added together, equal 180 degrees. 91+89=180

Hope this helps. here are free cookies --->

I need help! :) +no links please and thank you!

Answers

Answer:

Step-by-step explanation:

(14×2)+(14×4)

7×(3+5)

c, e and g

Jared has some birds and dogs in his backyard. He counts a total of 12 heads and 30 legs. How many birds and dogs are in Jared's garden?

Answers

Answer:

12, because both dogs and birds only have 12 heads

12 Jared has 12 birds

Solve using square roots: (x-6)^2=144

Answers

x^2-12x+36-144=0

x^2-12x-108=0

(x-18)(x+6)

X=18,-6

What is the sum? Complete the equation.
-5 + (20)

Answers

Answer: The answer is 15

HOPE THIS HELPS AND HAVE A VERY GOOD DAY

What is shrinkage in Accounting?

Answers

9514 1404 393

Explanation:

Shrinkage is the loss of inventory from causes other than normal use or sales. It is the difference between the inventory on the books and the amount of inventory actually available for use. Typical causes of shrinkage are theft, damage, fraud, counting error, administrative error.

2+2 brain time yessir

Answers

believe me it’s definitely 22

Answer:

Step-by-step explanation:

4 is the correct answer

Jennifer has a collection of 1,600 coins. Of the coins, 40% are dated before 1940, 35% are dated from 1940 to 1980, and the rest are dated after 1980. How many coins in Jennifer’s collection are dated after 1980?

Answers

Answer:

Step-by-step explanation:

 40% + 35 % = 80 %    so 20% are dated after 1980

20% is .20 in decimal form

.20 (1600) = 320 coins dated after 1980

 

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
The sum of 7 and the cube of a number.
The sum of 7 and the cube of a number.

Answers

Answer:

Step-by-step explanation:

7 + x³ is the sum of 7 and the cube of a number x

Suppose that only 2 percent of all people are geniuses. If an IQ test indicates that Albert is a genius, but the test is only accurate 90 percent of the time, then the probability that Albert really is a genius is roughly:

Answers

Answer:

P = 1,8 %

Step-by-step explanation:

From the whole population, only 2% are geniuses. But test results,              are accurate 90 %. So the probability that Albert really is a genius is:

P = 0,02 * 0,9

P  = 0,018      or    P = 1,8 %

Can someone help me really please

Answers

Answer:

Step-by-step explanation:

question

Answer:

the tank at the pet store

Step-by-step explanation:

5x4x2 = 40

35<40

HELP PLEASE!!
Explain the error in the following exercise;
then correct it.

Answers

Answer:

2/1x7/6=14/6=7/3

Step-by-step explanation:

Multiply the 2 by the 7 but Not the 6. So the second number is 14/6, not 14/12.

‘Then simplify 14/6 to 7/3

Let A be the set of all lines in the plane. Define a relation R on A as follows. For every l1 and l2 in A, l1 R l2 ⇔ l1 is parallel to l2. (Assume that a line is parallel to itself). Which of the following is true for R?
A. R is reflexive.
B. R is symmetric.
C. R is transitive.
D. R is neither reflexive, symmetric, nor transitive.

Answers

Answer:

Hence, the relation R is a reflexive, symmetric and transitive relation.

Given :

A be the set of all lines in the plane and R is a relation on set A.

[tex]R=\{l_1,l_2\in A|l_1 \;\text{is parallel to}\; l_2\}[/tex]

To find :

Which type of relation R on set A.

Explanation :

A relation R on a set A is called reflexive relation if every [tex]a\in A[/tex] then [tex](a,a)\in R[/tex].

So, the relation R is a reflexive relation because a line always parallels to itself.

A relation R on a set A is called Symmetric relation if [tex](a,b)\in R[/tex] then [tex](b,a)\in R[/tex] for all [tex]a,b\in A[/tex].

So, the relation R is a symmetric relation because if a line [tex]l_1[/tex] is parallel to the line [tex]l_2[/tex] the always the line [tex]l_2[/tex] is parallel to the line [tex]l_1[/tex].

A relation R on a set A is called transitive relation if [tex](a,b)\in R[/tex] and [tex](b,c)\in R[/tex] then [tex](a,c)\in R[/tex] for all [tex]a,b,c\in A[/tex].

So, the relation R is a transitive relation because if a line [tex]l_1[/tex] s parallel to the line [tex]l_2[/tex] and the line [tex]l_2[/tex] is parallel to the line [tex]l_3[/tex] then the always line [tex]l_1[/tex] is parallel to the line [tex]l_3[/tex].

Therefore the relation R is a reflexive, symmetric and transitive relation.

in 52469 6 is in the​

Answers

Answer:

6 is in the tenths place.

Step-by-step explanation:

Each digit is a number has a place, and we start counting from left to the right.

52469

9 is in the units place

6 is in the tenths place.

4 is in the cents place.

2 is the thousandths place.

5 is in the ten thousandths place.

The question asks 6, which is in the tenths place.

what is the estamate 1/4 of 16

Answers

Answer:

4

Step-by-step explanation:

1/4 of 16 is the same as 16 divided by 4. 16 divided by four is 4.

4 or 4/1 please give me a good rate

1
A train trip took 4 hours. For the trip, the train traveled at 60 kilometers per hour. For the
2
rest of the trip, the train traveled at 100 kilometers per hour. How far did the train travel
in all?

Answers

Answer:

320 kilometers

Step-by-step explanation:

1/2 -- (60 * 2) = 120 km

rest pf the trip -- 100 km per hour -- 2 hours left -- (100 * 2) = 200 km

Therefore, 120 + 200 = 320 km

Thenks and mark me brainliest :)


1. What is the slope of the line through the points (-4, 2) and (—16,-6) PLEASE HELP

Answers

Answer:

2/3

(-4, 2) and (-16, -6)

slope = m = (y2 - y1) / (x2 - x1) = (-6 - 2) / (-16 - -4) = -8 / -12 = 2 / 3 = 0.667

I hope you got it right :)

sonya got 8 out of 10 questions right on a quiz.she got the same score on a quiz that had 20 questions. how many questions did sonya get right on the second quiz? how many questions did she get wrong on the second quiz?

MUST SHOW WORK

Answers

Answer:

Sonya got 16 questions correct.

Step-by-step explanation:

8/10=80%

80%×20=16

(To check)

16/20=80%

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