Please Help! I don't understand how the Alabama paradox works. I will give you a lot of points!
--PLEASE show all work
The table shows the populations, in thousands, of the three states in a country with a population of 3760 thousand. Use Hamilton's method to show that the Alabama paradox occurs if the number of seats in congress is increased from 24 to 25
Answers
Answer:
State A loses a seat to State B when the total is increased
Step-by-step explanation:
The "work" is most easily done by a spreadsheet, as the calculations are easily defined and very repetitive.
The "fair share" of seats is the fraction the population is of the total, multiplied by the total number of seats. It will generally be a mixed number (integer plus fraction).
If the whole number is 1 or greater, the number of seats allocated at least that whole number.
If not all seats are allocated, the fractions are sorted in decreasing order, and 1 additional seat is added to the allocation for each state, working down the list, until all of the seats are allocated.
__
The attachment shows State A has the highest fraction when the number of seats is 24. Only one additional seat needs to be allocated in that case. State A gets that extra seat.
When the number of seats is 25, States B and C have the highest fractions. Each of them gets one additional seat, and State A gets no additional seats. This results in the appearance of State A giving up a seat to State B.
_____
Additional comment
Hamilton's apportionment method was used for a number of years in the US. The method now in use is substantially different. The current method would divide the 24 seats so that A=3, B=6, C=15. The 25th seat would be given to State A.
Related Questions
Denise is going on a road trip with some friends. For the first leg of their trip, they drive on the highway for 2.5 hours before taking an exit. If they maintain a steady pace of 64 miles per hour, how far do they drive on the highway?
Answers
Answer:
160
Step-by-step explanation:
We know that [tex]\left \{ {{t=2.5} \atop {v=64}} \right.[/tex]
Formulate and substitute: [tex]d=2.5[/tex]×[tex]64[/tex]
Calculate the product or quotient: [tex]160[/tex]
Answer: [tex]160[/tex]
HELP ME OUT PLEASE
PLS SEND PICTURE OF WHAT TO DO
Use the data to create a scatter plot.
Answers
Answer:
(2,5)
(3,8)
(4,13)
(5,12)
(6,18)
(7,20)
Plug those into the scatter plot graph
Step-by-step explanation:
The left side is the x axis and the right side is the y axis
If AD = 12 and BD = 14, what is CD?
Write your answer as a whole number or as a decimal rounded to the nearest hundredth.
a. 7
b. 10.29
C. 12.54
d. 16.33
Answers
Answer: D. 16.33
Step-by-step explanation:
is 1/4 to the 0 power bigger then 1
Answers
Answer:
1/4 to the 0 power is equal to 1. Therefore, it is not bigger than 1
12. Suppose a computer manufacturer has the total cost function C(x) = 65x +3500 and the total revenue function
R(x) = 365x, where x represents the number of computers produced and sold. What is the profit on 326 items?
a. $86,500
b. $101,300
c. $94,300
d. $1,238,800
$143.680
Answers
Cost is 65x + 3500 where x is = 326.
65(326) + 3500
21,190 + 3500 = $24,690 is the cost.
Revenue is 365x where x is 326.
365(326) = $118,990
Now we subtract the two:
118,990 - 24,690 = $94,300
This means that the answer is C) $94,300.
I hope this helps! :)
Ms. April likes for the twenty students in her
class to have a carton of milk each day at break
time. She sends three of her students down to
the cafeteria to ask for the cartons of milk, but
she likes to mix things up a bit and wants to
send a different group of students down every
day. Will she have enough different groups of
three students in her class of twenty students to
send a different group every day of the school year? (There are 180 days in the school year)
Answers
Answer:
Ms. April will not have enough students.
Step-by-step explanation:
This is because 180 days of the year divided by 3 students per day = 60 students per year. The class only has 20 students, therefore, there is not enough students needed to collect milk.
Answer:
Ms. April will not have enough students.
Step-by-step explanation:
This is because 180 days of the year divided by 3 students per day = 60 students per year. The class only has 20 students, therefore, there is not enough students needed to collect milk.
Abby has $32 to spend on party supplies. After buying 9 packs of noisemakers, she has $20 left.
How much did each pack of noisemakers cost?
A
$0.75
B
$1.15
C
$1.33
D
$12.00
Answers
Answer:
$1.33
Step-by-step explanation:
32-20 = 12
12/9 = $1.33
The average of max's three tests is an 84 what must he get on a fourth test to raise his average to an 87
Answers
Answer:
He must get a 96% on the fourth test to raise his average to an 87
at does the point (2, 1.5) represent in this context?
Answers
In what context? Do you mean calculus If you are talking about graphing on a graph plane it would be the two accelerates on the x axis so (left or right) and then the 1.5 accelerates on the y axis so 1.5 on the y axis would be one and halfway to the 2 mark on the y axis so in the middle of 1 to 2 on the y axis the y axis goes (up and down)
This table shows data collected by a runner.
A three column table with 7 rows. The first column, Time in minutes, has the entries, 1, 2, 3, 4, 5, 6. The second column, Distance in miles, has the entries, 0.19, 0.38, 0.57, 0.76, 0.95, 1.14. The third column, Elevation in meters, has the entries, 12, 28, 67, 98, 124, 145.
Which statement about the scenario represented in the table is true? Assume time is the independent variable.
The distance run is a nonlinear function because it does not have a constant rate of change.
The elevation is a nonlinear function because it does not have a constant rate of change.
Both the distance run and the elevation are nonlinear functions because they do not have constant rates of change.
Both the distance run and the elevation are linear functions because they have a constant rate of change.
Answers
Answer:
a
Step-by-step explanation:
Answer:
The correct answer is B, The elevation is a nonlinear function because it does not have a constant rate of change.
Step-by-step explanation:
what is the HCF of 2x and x
Answers
HCF (2x, x) = x.
Factors of 2x = 2 × x × 1
Factors of x = x × 1
Common factors = x, 1
HCF = x × 1 = x
See the attachment too.
________
Hope it helps ⚜
Please please help !
Answers
Answer:
Unsure but it might be -8/3
Step-by-step explanation:
A square piece of paper has a perimeter of 36 cm. What is the area of a square piece of paper with twice that perimeter? *
323 sq.cm
324 sq.cm
81 sq.cm
---------------------
( perimeter = l+ b )
(area = l × w )
(l= length)
(b= breadth )
(w= width)
Answers
Answer:
Area= 18 x 18=324 sq.cm
Step-by-step explanation:
p=36 x2=72 (as it is twice that of the original paper)
since it is a square, length of 1 side = 72/4= 18
so, the area = l x l= 18 x 18= 324 sq.cm
Answer:
Area= 18 x 18=324 sq.cm
Step-by-step explanation:
p=36 x2=72 (as it is twice that of the original paper)
Since it is a square, length of 1 side = 72/4= 18
Therefore, the area = l x l= 18 x 18= 324 sq.cm
Hope this helps :)
A set of stickers contains 4 shamrocks for every 6 rainbows. Which choice contains an equivalent ratio of shamrocks to rainbows?
shamrocks : rainbows
1. 2 : 4
2. 6 : 9
3. 1 : 3
4. 8 : 18
Answers
because 4/6 is equal to 2/3 and so is 6/9
What is the average number of 20 14 28 18
Answers
Step-by-step explanation:
Avg = 20 + 14 + 28 + 18 /4
Avg = 80/4 = 20
Due tomorrow answer using steps
Answers
[tex]\\ \sf\longmapsto (5x^3+5x^2+5)-(6x^3-6x^2+8x-5)[/tex]
[tex]\\ \sf\longmapsto 5x^3+5x^2+5-6x^3+6x^2-8x+5[/tex]
[tex]\\ \sf\longmapsto 5x^3-6x^3+5x^2+6x^2-8x+5+5[/tex]
[tex]\\ \sf\longmapsto -x^3+11x^2-8x+10[/tex]
[tex]\\ \sf\longmapsto x^3-11x^2+8x-10[/tex]
[tex]\large \boldsymbol{} \longmapsto (5x^3+5x^2+5) -(6x^3-6x^2+8x-5 ) \\\\\\ \longmapsto5x^3+5x^2+5-6x^3+6x^2-8x+5 \\\\\\ \longmapsto 5x^3-6x^3+5x^2+6x^2-8x+5+5 \\\\\\ \longmapsto \boxed{ - x^3+11x^2-8x+10}[/tex]
The product of two positive odd consecutive integers is 1599. What is the larger integer?
Answers
Answer:
800
Step-by-step explanation:
800+799=1599
Can someone help with question #4 please
Answers
Answer:
4,0 is the right ok I am a professor
If 11% of a number equals 4, find 66% of that number.
Answers
Answer:
363/20,000
.................................................................................
Answer:
24
Step-by-step explanation:
Let the number be " x ".
11 % of x = 4
( 11 / 100 ) * x = 4
x = 4 * ( 100 / 11 )
x = 400 / 11
66 % of that number
= 66 % of x.
= 66 % of 400 / 11
= ( 66 / 100 ) x ( 400 / 11 )
= ( 66 x 400 ) / ( 100 x 11 )
= 6 x 4
= 24
A truck is carrying
10^3
bushels of apples,
10^2
bushels of grapes, and
10^1
bushels of oranges. Each bushel of apples weighs 32 pounds, each bushel of grapes weighs 25 pounds, and each bushel of oranges weighs 42 pounds. What is the total weight of the fruit in pounds?
A.
3,592 pounds
B.
5,742 pounds
C.
32,299 pounds
D.
34,920 pounds
Answers
[tex]\begin{cases} \stackrel{apples}{10^3}\\ \stackrel{grapes}{10^2}\\ \stackrel{oranges}{10^1} \end{cases}\qquad \begin{cases} \stackrel{lbs}{32}\\ \stackrel{lbs}{25}\\ \stackrel{lbs}{42} \end{cases}\qquad \begin{array}{rllll} 10^3\cdot 32\\ 10^2\cdot 25\\ +\qquad 10\cdot 42\\\cline{1-1} 34920&lbs \end{array}[/tex]
work out the value of 35-3×9
you must remember to do the bidmas or bodmas in those type of question
First you must try to do multiplie this question 3×9 = 27
than subtract
35-27 =8
8 is final answer
Answers
Answer:
8
Step-by-step explanation:
35-3×9=35-27
=8
Hope this helps!!!
Your cell phone bill in August was $61.43, which was $21.75 more than your bill in July. Your cell phone bill in July was $13.62 less than
in June. What was your cell phone bill in June?
Answers
Answer:
$53.30
Step-by-step explanation:
61.43-21.75=39.68 is the cell phone bill in July.
39.68+13.62= 53.30 is the phone bill in June.
Answer:
53.30
Step-by-step explanation:
August= 61.43
July= (61.43-21.75) or 39.68
June= (39.68+13.62) or 53.30
Hope this helps! :)
Given log_73≈0.5646 and log_716≈1.4248, evaluate the expressions. Please show work using given values.
Answers
Answer:
(a) [tex]\log_72 \approx 0.3562[/tex]
(b) [tex]\log_7(\frac{147}{16} ) = 2[/tex]
Step-by-step explanation:
For the point a:
For this problem we use the information of [tex]\log_716 \approx 1.4248[/tex]
16 can be re-write as [tex]2^4[/tex]. Then you have:
[tex]\log_72^4[/tex]
Using the power property of the logarithm we have:
[tex]\log_ba^c = c\log_ba[/tex]
[tex]\log_72^4 = 4\log_72[/tex]
And this expression is equal to:
[tex]4\log_72 \approx 1.4248\\\log_72\approx \frac{1.4248}{4} \approx 0.3562\\[/tex]
For the point b:
For this problem we use the information of [tex]\log_716 \approx 1.4248[/tex] and [tex]\log_73 \approx 0.5646[/tex]
The first is use the quotient property in the given log.
[tex]\log_c\frac{a}{b} = \log_ca-\log_cb[/tex]
[tex]\log_7\frac{147}{16} = \log_7147 -\log_716[/tex]
We already know the value of [tex]\log_716[/tex] then we have to calculate the value of [tex]\log_7147[/tex].
So we factorize the number 147 in [tex]3 \cdot 7 \cdot 7[/tex] (for factorize the number start with the smaller prime and check if the remainder is 0, it is then is a primer factor of the number).
Now re-write [tex]\log_7147[/tex] as [tex]\log_73 \cdot 7^2[/tex] and by the product property get:
[tex]\log_bmn = \log_b m +\log_b n\\\log_73 \cdot 49 = \log_7 3 +\log_7 49 = 0.5646 + 2 = 2.5646[/tex]
Know replace each value in the subtraction and get the result:
[tex]\log_7147 -\log_716 = 2.5646 - 0.5646 = 2[/tex]
How do I do this math !
Answers
Answer:
The equation of a straight line is always
[tex]y=mx+b[/tex]
The constant m always refers to the slope, and the constant b always refers to the y-intercept.
Simply substitute the numbers in:
[tex]y=-\frac{1}{2}x+3[/tex]
There's your equation!
Choose the correct answer below
Answers
Answer: B.
Step-by-step explanation:
brainliest me
Question 19
A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?
A. 52
B. 158
C. 210
D. 213
E. 218
Answers
Answer:
D. 213Step-by-step explanation:
The number of black pieces is 5 more than 3 times the white pieces:
b = 3w + 5Let the number of rounds is x.
Initial number of white nd black pieces:
w = 7x + 3b = 15x + 56Substitute the values of b and w into first equation and find the value of x:
15x + 56 = 3(7x + 3) + 515x + 56 = 21x + 146x = 42x = 7Find the number of pieces:
w = 7*7 + 3 = 52b = 3*52 + 5 = 161w + b = 52 + 161 = 213Correct choice is D
Answer:
A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?
A. 52
B. 158
C. 210
D. 213
E. 218
What is the first step needed to solve (2/5)x - 6 = -16
Answers
Answer:
Add 6 to both sides
Step-by-step explanation:
The (usual) first thing to do when solving any equation is to simplify both sides of the equation. However, since we have nothing to simplify, we move onto the next step that'll be the first step: isolating the variable, x. To do so, we must do the inverse of subtracting 6 (which is adding 6).
Can you help please?
Answers
Answer:
Step-by-step explanation:
Please help me :/!!!!
Answers
Answer:
(3, 9)
Step-by-step explanation:
Set 3x and 2x+3 equal to each other forming an equation in x.
3x=2x+3
Solve for x.
x=3
Substitute the given value of x into the equation y=3x.
y=3x3
Solve for y.
y=9
(x, y) = (3, 9)
Hope this helps :)
100 pointer question here
Answers
Answer:
See attached
Expressions matching the properties
The associative property:
a + b = b + aab = baThe commutative property:
a + (b + c) = (a + b) + cDistributive property:
a(b + c) = ab + ac