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
A snack company makes packages of grapes and honeydew slices. The weight of an individual package of
grapes, G, is approximately Normally distributed with a mean of 3.25 ounces and a standard deviation of 0.91
ounces. The weight of an individual package of honeydew slices, H, is approximately Normally distributed with a
mean of 4.51 ounces and a standard deviation of 2.02 ounces. Assume G and H are independent random
variables. Let D=G-H. What is the probability that a randomly selected package of grapes weighs more than a
randomly selected package of honeydew slices?
O 0.127
O 0.230
0.284
0.334
Answers
Using the normal distribution, it is found that there is a 0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.In this problem, for each variable, [tex]\mu_G = 3.25, \sigma_G = 0.91, \mu_H = 4.51, \sigma_H = 2.02[/tex]
For the subtraction, we have that:
[tex]\mu_D = \mu_G - \mu_H = 3.25 - 4.51 = -1.26[/tex]
[tex]\sigma_D = \sqrt{\sigma_G^2 + \sigma_H^2} = \sqrt{0.91^2 + 2.02^2} = 2.2155[/tex]
The probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices is P(D > 0), which is 1 subtracted by the p-value of Z when X = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-1.26)}{2.2155}[/tex]
[tex]Z = 0.57[/tex]
[tex]Z = 0.57[/tex] has a p-value of 0.7157.
1 - 0.715 = 0.284
0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices.
A similar problem is given at https://brainly.com/question/24663213
Find the GFC of 72 and 64
Answers
Answer:
8
Step-by-step explanation:
GCF of 64 and 72 is 8.
I hope it helps you..
The Consumer Price Index (CPI), which measures the cost of a typical package of consumer goods, was 202.2 in 2011 and 244.6 in 2016. Let x = 11 correspond to the year 2011 and estimate the CPI in 2014 and 2015. Assume
that the data can be modeled by a straight line and that the trend continue indefinitely Use two data points to find such a line and then estimate the requested quantities
Answers
Answer:
y = 8.48x + 108.92227.64236.12Step-by-step explanation:
According to given we have (x, y) pairs:
(11, 202.2) and (16, 244.6)Work out the equation of the line.
Find the slope:
m = (244.6 - 202.2)/(16 - 11) = 8.48Find the y- intercept using one pair of coordinates:
202.2 = 8.48*11 + bb = 202.2 - 93.28b = 108.92The line is:
y = 8.48x + 108.92Find the value of y when x = 14 and x = 15:
y = 8.48*14 + 108.92 = 227.64y = 8.48*15 + 108.92 = 236.121. Complete the problem by using your calculator. Round your answer to three decimal places.
If f(x)=x^3– 7x^2+ 3 find f(-2) and f(3/4)
a. f(-2) = 3 and f(3/4)= 2.728
b. f(-2)= 3 and f(3/4)= 10
c. f(-2)=-33 and f(3/4)=-0.516
d. f(-2)= 7 and f(3/4)= 21
e. f(-2)= 10 and f(3/4)=-0.968
nhing utility Round
Answers
Answer:
c.
Step-by-step explanation:
Plug in -2 for x ....
f(x) = -2^3 - 7(-2)^2 + 3
= -8 - 28 + 3
= -36 + 3
= -33
Plug in 3/4 for x ....
f(x) = 3/4^3 - 7(3/4)^2 + 3
= 27/64 - 63/16 + 3
The put in decimals ....
27/64 = .422
63/16 = 3.938
Put the decimals back into the equation ....
= .422 - 3.938 + 3
= -3.516 + 3
= -.516
Which is the correct solution for the following inequality: 9 ≤ 4x + 1 < 21
2 < x < 5
2 < x < 5
2 < x < 5
2 , <, x < 5
2 < x < 5
Answers
Answer:
2<=x<5
Step-by-step explanation:
first subtract one from all pieces, then divide by four. because you never divide by a negative so switching of sides is needed. Two is less than or equal to x which is less than five.
The length of a rectangle is 2 in longer than its width.
If the perimeter of the rectangle is 68 in, find its length and width.
Answers
Answer:
Length: 18
Width: 16
Step-by-step explanation:
This the right one click it so you can get it right
Answers
Answer:
The one highlighted yellow is the correct option
6 liters is to 72 km as 50 liters is to x km
need help with identiifying slope thing i sent
Answers
Answer:
The slope is -5 and the y intercept is (0,4)
Step-by-step explanation:
The equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -5x+4
The slope is -5 and the y intercept is (0,4)
X+y=6 x-y=-2 solve by elimination
Answers
Step-by-step explanation:
x + y = 6
+ x - y = -2
------------------
2x + 0 = 4
x = 2
2 + y = 6
y = 4
what set of angles can form a line
Answers
Answer:
Did u mean triangle? There are no angles on a line.
Or do you mean two angles of 90 degrees?
Step-by-step explanation:
Will all rational functions have at least one vertical asymptote? Justify your response with an
explanation
Answers
Answer:
no
Step-by-step explanation:
A rational function is the ratio of two polynomials. It will have a vertical asymptote if there is a real denominator zero that is not matched by one in the numerator.
Polynomials in general may or may not have real zeros, and two polynomials may have the same zero. Hence conditions may exist for a rational function not to have any vertical asymptotes.
An example with no vertical asymptotes is ...
f(x) = (x -1)/(x^2 +1)
x^2+12x-20/3x-5 = x^2+8x+12/2x+3
[tex] \frac{ {x}^{2} + 12x - 20}{3x - 5} = \frac{ {x}^{2} + 8x + 12}{2x + 3} [/tex]
Solution give;;;
Answers
Answer:
In attachment I have answered this problem.
what is 83\100 in decimal form
Answers
83 = 83.0 When you move the decimal place two places to the left you get: 0.83
Hope this helps!
PLEASE HELPPPP
Find m∠BXY.
Answers
Answer:
I think 30°Step-by-step explanation:
Pls make me brainliest plssssssssssssssImsureeeeeeee123
what topics of algebra are on the shsat
Answers
Answer:
Step-by-step explanation:
Proportions.
Volume.
Scale.
Geometry (angles)
Solve for variable.
Logic.
Consecutive integers.
Unit conversion.
and much more...
2. which of the following shows the cube of a binomial?
Answers
Answer:
Socratic app
Step-by-step explanation:
it will help you
HELP ASAP DUE IN 5 MIN I WILL GIVE 15 POINTS QND MARK BRAINLIEST DO NOT SPAM As a kitten, Mittens weighed 2 3/4 pounds. At his 6-month check-up with the vet, Mittens weighed 6.5 pounds. How much weight did Mittens gain between the time he was a kitten and his 6-month check-up? Enter your answer as a decimal or simplified mixed number in the box.
Answers
Answer:
3.75
Step-by-step explanation:
Answer:
3.75
Step-by-step explanation:
Hope this helps
Have a great and blessed day :)
Trayvon enters a competition to guess how many balls are in a barrel.
Trayvon’s guess is 63 balls.
The actual number of balls is 60.
What is the percent error of Trayvon’s guess?
Answers
5% error
Step-by-step explanation:
% error = (estimation - actual value)/actual value * 100%
Trayvon's estimation is 63 and the actual value is 60, so our expression is:
(63 - 60)/60 * 100
63 - 60 = 3, so we get:
3/60 * 100
And 3/60 = 0.05, so now we have:
0.05 * 100 = 5
The percent error of Trayvon’s guess is 5%
What is the absolute error?"It is the absolute difference between an observed value and the actual value."
What is the relative error?"It is the ratio of the absolute error of the measurement to the actual value."
What is the percent error?"It is the relative error multiplied by 100."
For given example.
Trayvon’s guess is 63 balls.
[tex]V_o=63[/tex]
The actual number of balls is 60.
[tex]V_A=60[/tex]
The absolute error is,
[tex]\Rightarrow A=|V_o-V_A|\\\\\Rightarrow A=|63-60|\\\\\Rightarrow A=3[/tex]
The relative error is,
[tex]\Rightarrow R=\frac{A}{V_A} \\\\\Rightarrow R=\frac{3}{60}\\\\ \Rightarrow R=0.05[/tex]
The percent error is,
[tex]\Rightarrow P=R\times 100\\\\\Rightarrow P=0.05\times 100\\\\\Rightarrow P=5\%[/tex]
Therefore, the percent error of Trayvon’s guess is 5%
Learn more about the percent error here:
https://brainly.com/question/3670306
#SPJ2
The diameter of a circle is 4 centimeters. What is the circle's circumference?
d=4 cm
Use 3.14 for .
Answers
Answer:
12.56cm.
Step-by-step explanation:
Given that the diameter of a circle is 4 centimeters
The equation to find the circumference would be C=πd
C=3.14x4
=12.56
The circumference of the circle would be 12.56cm.
Hope this helps :)
A rectangle has a height of 362 and a width of 464 + 26 -6 what is the area?
Answers
Answer:
175,208 square units
Step-by-step explanation:
Lets calculate the width first:
464 + 26 - 6 = 484
The area is equal to the length times the width, so
362 x 484 = the area
= 175,208 square units
Let 2m - 1 be a prime number. Prove that m is also a prime number
Answers
Answer:
False.
Step-by-step explanation:
This is false.
A Counterexample:
7 is prime.
2(4)-1 is 7.
4 is not prime.
Another Counterexample:
11 is prime.
2(6)-1 is 11.
6 is not prime.
Answer:
If m=2 (which is a prime number), then 4-1=3, 3 is a prime number.
Step-by-step explanation:
Which choices are equivalent to the expression below? Check all that apply.
4./6
O A. 96
B. 132.5
I C. 4../36
O D. 116.6
E. 196
OF V24
SUBMIT
Answers
B 32 • 3
D 16•6
E 96
Square root them and multiply to get the answer
Write a statement
---------------------------------------------------------------------------------------------------------------------
Answers
9514 1404 393
Answer:
C) ΔDCE ≅ ΔDQR
Step-by-step explanation:
Corresponding vertices can be identified by the number of arcs signifying congruence.
1 mark: angles D and D
2 marks: angles C and Q
3 marks: angles E and R
Corresponding angles are listed in the same order in the congruence statement:
ΔDCE ≅ ΔDQR
Solve for q.
7q–5q=16
q=
Answers
Answer:
q = 8
Step-by-step explanation:
7q - 5q = 16
Then you can subtract the 7q by 5q which will get you 2q.
So now it is 2q = 16, you can simply divide both sides by 2 to get 8
hope it helped!
Hello, I hope you are having a nice day.
7q-5q=16
Combine Like terms:
2q=16
Divide both sides by 2 in order to isolate q:
q=8.
So this is the answer. Hope it helps you. :)
Ask me if you have any queries.
~An emotional teenager who helps other people on Brainly
[tex]MagicalNature[/tex]
Good luck.
Please help me with this question
Answers
Answer:
M: (-2,6)
M': (-2,-6)
X coordinate
M' would be (2, 6)
when it's reflected over the y-axis, the x coordinate changes signs (becomes positive)
tal) In a survey of 185 college students, they were asked whether they have dogs, cats,
or birds as pets:
90 have dogs,
68 have cats,
8 have birds only,
15 have both cats and dogs only,
20 have both birds and dogs,
12 have both cats and birds, and
7 students have all three animals as pets
a). Draw a Venn diagram to represent the given information.
b). How many students have cats only?
c). What proportion of the students have exactly one type of animal as pets?
Answers
9514 1404 393
Answer:
a) see attached
b) 41
c) 56.2%
Step-by-step explanation:
a) We have drawn three circles, labeled D, C, B representing students who have dogs, cats, and birds, respectively. Based on the given information we can fill numbers in for all three animals (7), cats and dogs only (15), and birds only (8).
Then we can fill in cats and birds only by subtracting the number with all three. That will be 12 -7 = 5. Birds and dogs only is similarly filled by subtracting all three to get 20 -7 = 13 birds and dogs only.
Dogs only is found by subtracting the numbers in multiple categories from the total number of dogs: 90 -13 -7 -15 = 55. Cats only is found the same way: 68 -5 -7 -15 = 41.
The completed diagram is shown in the attachment. (We haven't figured the quantity for "none.")
__
b) 41 students have cats only
__
c) The total number with dogs only, cats only, or birds only is ...
55 +41 +8 = 104
Of the 185 total students, that is 104/185 ≈ 56.2%.
56.2% of students have exactly one type of animal as a pet.
The step club made friendship bracelet as a fundraiser and sold them for $1.75 each. The club made a profit of $182. How many bracelets did the step club make?
Answers
Answer:
104 bracelets
Step-by-step explanation:
182 ÷ 1.75 = 104
Write an equation in slope-intercept form of the line shown.
Answers
Answer:
y=-3/2x+5
Step-by-step explanation:
The line intersects with points (2,2) and (4,-1). Slope intercept form is y=mx+b, where m is slope and b is the y intercept. The y intercept appears to be at (0,5), so b=5. As for the line, the formula for calculating slope is y2-y1/x2-x1 (the order of the points you use actually does not matter; you just have to make sure both coordinates from the same point are placed in the same part of the formula). -1-2/4-2=-3/2. Therefore, the slope is -3/2 (or -1.5 if you want a decimal).
HELP! Evaluate the line integral where C is given by the vector function r(t).
Answers
Applying the steps, the result of the line integral is 99.
The curve is:
[tex]f(x,y,z) = xy i + 9y^2 j[/tex]
The vector field is:
[tex]r(t) = (x(t), y(t)) = (16t^6, t^4)[/tex]
Applying the vector field at the curve, we have that:
[tex]f(t) = (16t^{10}, 9t^8)[/tex]
The derivative of the vector field is:
[tex]r^{\prime}(t) = (96t^5, 4t^3)[/tex]
The dot product of the vector field along the curve with the derivative is:
[tex]f(t)r^{\prime}(t) = (16t^{10}, 9t^8)(96t^5, 4t^3) = 1536t^{15} + 36t^{11}[/tex]
Hence, the line integral is:
[tex]I = \int_{0}^{1} (1536t^{15} + 36t^{11}) dt[/tex]
[tex]I = 96t^{16} + 3t^{12}|_{t = 0}^{t = 1}[/tex]
[tex]I = 96 + 3[/tex]
[tex]I = 99[/tex]
A similar problem is given at https://brainly.com/question/12666512
Add and simplify. 2 3\8 + 9 1\8 =
Answers
Answer:
11 1/2
Step-by-step explanation:
So we fist should add 9 and 2 which is 11 then we should add 3/8 and 1/8 which is 4/8, which is equal to 1/2. So the answer is 11 1/2