The test statistic of the data on the concentration of calcium in precipitation in Chautauqua, New York, is 1. 46.
How to find the test statistic ?The test statistic (t0) can be calculated using the following formula:
t0 = ( x bar - μ0 ) / (s / √n )
First, calculate the sample mean :
= (0.087 + 0.313 + 0.183 + 0.07 + 0.108 + 0.12 + 0.262 + 0.065) / 8
= 0.151 mgL
Given the sample mean, the test statistic would be:
= ( x bar - μ0 ) / ( s / √n )
= ( 0. 151 - 0. 11 ) / ( 0. 087 / √8 )
= 1. 46
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What is the area of the triangle in square yards?
Answer:
DON'T LOOK AT THE PICTURE!!
Step-by-step explanation:
Consider the quadratic equation x2+8x+9=0. Which of the following is the correct form after substituting a, b, and c into the Quadratic Formula?
Answer:
x²+8x+9=0
Comparing above equation with ax²+bx +c
we get
a=1
b=8
c=9
quadratic equation is
[tex]x = \frac{ - 8± \sqrt{ {8}^{2} - 4×1×9} }{2*1} [/tex]
[tex]x = \frac{ -8± \sqrt{ 64-36} }{2} [/tex]
2x+8=±[tex] \sqrt{ {28}}[/tex]
taking + ve
2x=[tex] \sqrt{ {28}}[/tex]-8
x=[tex] 2\sqrt{ {7}}[/tex]-8/2
x=[tex] \sqrt{ {7}}[/tex]-4
taking -ve
2x=-[tex] \sqrt{ {28}}[/tex]-8
x=-[tex] 2\sqrt{ {7}}[/tex]-8/2
x=-[tex] \sqrt{ {7}}[/tex]-4
As given
x²+8x+9=0General equation
Ax²+Bx+COn comparing
A=1B=8C=9Jennifer is buying party supplies. She is planning on buying twice as many balloons as noisemakers. The number of napkins Jennifer is planning on buying is one-quarter of the number of noisemakers. If Jennifer buys 65 items, how many noisemakers does Jennifer buy? Write and solve an equation using a variable for this problem. <3
Answer:
808 over 25 as a faraction
Step-by-step explanation
a quarter of 65 is 16 4 over 25
16 4 over 25 times 2 808 over 25 as a fraction
What is the product of the binomials below?
(3x + 6)(4x+2)
A. 7x2 +30x+12
B. 12x2 + 30x + 12
C. 7x2 + 30x + 8
D. 12x2 + 30x+8
SUM
PREVIOUS
Answer:
12x^2 + 30x+12
Step-by-step explanation:
3x+6) (4x+2)
3x 6
12x^2 24x 4x
6x 12 2
use a punnet square type deal here.
12x^2 + 24x + 6x + 12
12x^2 + 30x+12
And so your answer should be: 12x^2 + 30x+12
Which scientist discovered DNA after experimenting with white blood cells?
What are the building blocks of proteins?
amino acids
ribosomes
tRNA molecules
chromosomes
2. A (simplified representation of) the 2019 British parliament was as a weighted voting system (326 : 316, 259, 35, 12, 12, 10,6). The Conservative party had 316 votes, the Labour party had 259 votes
a) the Shapley-Shubik Index of the Conservative party is 3360/5040.
b) the Shapley-Shubik Index of the Labour party is 82.142
To calculate the Shapley-Shubik index for a party in a weighted voting system, we need to consider all possible orderings of the parties and determine the party's contribution to the winning coalition in each ordering. The Shapley-Shubik index represents the average contribution across all possible orderings.
(a) The Shapley-Shubik Index of the Conservative party is 3360/5040. Justify this calculation:
To calculate the Shapley-Shubik Index of the Conservative party, we consider all possible orderings of the parties and determine the Conservative party's contribution to the winning coalition in each ordering.
The total number of possible orderings of the parties is given by the factorial of the total number of parties: 7! = 5040.
In each ordering, we examine the cumulative votes of the parties in the order until the winning threshold of 326 votes is reached. The Conservative party, with 316 votes, does not reach the threshold alone.
However, if we consider the cumulative votes of the Conservative party and the Labour party (316 + 259 = 575), we reach the winning threshold. Therefore, the Conservative party's contribution to the winning coalition is 575 votes.
Since there are 6 other parties, we need to distribute the remaining votes among them. We can do this in 6! = 720 different ways.
The Shapley-Shubik Index is calculated by summing the contributions of the Conservative party across all possible orderings and dividing by the total number of orderings:
Shapley-Shubik Index of the Conservative party = (575 * 720) / 5040 = 3360 / 5040
Therefore, the Shapley-Shubik Index of the Conservative party is 3360/5040.
(b) To compute the Shapley-Shubik Index of the Labour party, we follow a similar approach:
The Labour party has 259 votes. We consider all possible orderings of the parties and determine the Labour party's contribution to the winning coalition in each ordering.
In each ordering, we examine the cumulative votes of the parties in the order until the winning threshold of 326 votes is reached. The Labour party alone does not reach the threshold.
However, if we consider the cumulative votes of the Labour party and the Conservative party (259 + 316 = 575), we reach the winning threshold. Therefore, the Labour party's contribution to the winning coalition is 575 votes.
Similar to the previous calculation, we distribute the remaining votes among the 6 other parties in 6! = 720 different ways.
The Shapley-Shubik Index of the Labour party is calculated by summing the contributions of the Labour party across all possible orderings and dividing by the total number of orderings:
Shapley-Shubik Index of the Labour party = (575 * 720) / 5040
= 82.142
Therefore, the Shapley-Shubik Index of the Labour party is 82.142.
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Given question is incomplete, the complete question is below
A (simplified representation of) the 2019 British parliament was as a weighted voting system [326 : 316,259,35,12,12,10,6]. The Conservative party had 316 votes, the Labour party had 259 votes, and various other parties had the remaining votes.
(a) The Shapley-Shubik Index of the Conservative party is 3360/5040. Justify this calculation.
(b) Compute the Shapley-Shubik Index of the Labour party.
Based on the following new information. Given it is raining, what is the what is the probability of Sunshine delight winning ?
Storm Chaser Sunshine delight
Given Raining 0.79 Given not raining 0.64
Based on the following information collected from emails. What is the probability that if the word "llwws" is in a document, it is spam ?
Spam Not spam
Word "aabbdd" 0.71 Word "llwws" 0.5
ROUND TO 2 DECIMAL PLACES
The probability of Sunshine Delight winning given that it is raining is approximately 0.79. The probability that a document is spam if it contains the word "llwws" is approximately 0.50.
In the case of Sunshine Delight winning, given that it is raining, the probability is directly provided as 0.79.
For the probability of a document being spam if it contains the word "llwws," the information shows that the probability of the word "llwws" appearing in a spam document is 0.50. However, without further information about the overall prevalence of spam and non-spam documents, we cannot directly determine the probability that a document containing "llwws" is spam. Additional context about the overall occurrence of spam and non-spam documents is required to calculate the requested probability.
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The Internal Revenue Service estimates that 8% of all taxpayers filling out forms make mistakes.
An IRS employee randomly selects and checks 10 forms for mistakes. What is the probability that exactly one has an error?
The same IRS employee announces at lunch one day that she is going to check 25 randomly selected forms after lunch.
Calculate the mean and the standard deviation of the number of forms with mistakes she should expect to find.
The IRS employee checked 25 randomly selected forms and didn't find any mistakes. Does this provide convincing evidence to cause her supervisor to believe that she is missing mistakes? Explain.
Probability of exactly one error in 10 forms: Use binomial distribution with n = 10 and p = 0.08..Mean and standard deviation of forms with mistakes: Calculate using expected value and standard deviation formulas for a binomial distribution.
To calculate the probability that exactly one form has an error out of 10 randomly selected forms, we use the binomial probability formula: P(X = k) = (n C k) * p^k * (1-p)^(n-k), where n is the number of trials, p is the probability of success, and k is the number of successes. In this case, n = 10, p = 0.08, and k = 1. Plugging in these values, we can calculate the probability as P(X = 1) = (10 C 1) * (0.08)^1 * (1-0.08)^(10-1).
The mean (expected value) of the number of forms with mistakes can be calculated as μ = n * p, where n is the number of trials and p is the probability of success. In this case, n = 25 and p = 0.08. The standard deviation can be calculated as σ = sqrt(n * p * (1-p)), where sqrt represents the square root. Plugging in the values, we can calculate the mean and standard deviation.
Finding no mistakes in 25 randomly selected forms does not provide strong evidence to conclude that the employee is missing mistakes. The probability of not finding any mistakes in 25 forms can be calculated using the binomial distribution with parameters n = 25 and p = 0.08. If the actual proportion of mistakes is 8%, it is possible to observe a sample without mistakes due to random chance. To draw a more reliable conclusion, a larger sample size or additional evidence would be needed.
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6 STUP1D QUESTIONS FOR 100 POINTS
1. Why do British people never sound British when they sing?
2. Why do they call it 'head over heels in love if our head is always over our heels?
3. Can a hearse driver drive a corpse in the carpool lane?
4. Why is the name of the phobia for the fear of long words Hippopotomonstrosesquippedaliophobia?
5. If someone can't see, they're blind and if someone can't hear, they're deaf, so what do you call people who can't smell?
6. How do they get those boats in those glass bottles?
Hello! I was wondering can anyone help me?
Answer:
$86.94
Step-by-step explanation:
All we need to do is subtract his weekly play from his pay after taxes and his other taxes.
$625
$499.61
_ $38.45
____________
$86.94
Have a nice day, fam. Spread The Love.
The base angles of an
isosceles triangle
Measure (2x+40)° and
(5x+16)". find x and the
Measure of both angles.
Answer:
71
93.5
x=15.5
Step-by-step explanation:
(2x+40)+(5x+16)+(x)=180
you have to put all the measures together and equal it to 180. when it comes to triangles, all the angles added together are equal to 180.
now solve the equation and you should get this:
x=15.5
the next step is to solve the give equations separately:
2(15.5)+40=71
5(15.5)+16=93.5
(15.5)=15.5
now to check the work, you have to add all the measures that were just calculated:
71+93.5+15.5=180 so check!
{67, 68, 68, 71, 73, 73, 73, 74, 74, 74, 74, 75, 75, 77, 78, 79, 79, 80, 80}
What is the mean of the data?
1,412
862
79
74
Answer:
the answer is 1,412
Step-by-step explanation:
all you do is add all the numbers together
I asked this question several times and not one person had helped me. Please im begging you. This is due today. Please answer all the questions and show your work! I will mark brainliest
Answer: a = 2^12 b= 2^12 c=2^20
d= 2^12 e= 2^64 f= 2^12 g= 2^22 h= 2^40
Step-by-step explanation:
A consumer's utility is described by U(x, y) = xy. Marginal utilities then are described as MUX = y and MUy=x. Suppose the price of x is 1 and the price of y is 2. Consumer's income is 40. Then price of y falls to 1. When graphing, make sure to put x on the horizontal axis, and y on the vertical axis.
(a) Calculate the optimal consumption choice before the price change. Illustrate that choice on a graph. Label that choice A
(b) Calculate the optimal consumption choice the consumer would buy at the new price of y, if they wanted to get the same amount of utility as before the price change. Mustrate that choice on the same graph. Label that choice B
(c) What is the substitution effect of the price change? Illustrate on the graph.
(d) What is the optimal consumption choice after the price change? Illustrate on the graph and label that choice C (e) What is the income effect of the price change? Illustrate on the graph.
Before the price change, the optimal consumption choice (A) is determined by equalizing the marginal utilities of x and y.
Using the utility function U(x, y) = xy, and considering prices of Px = 1 and Py = 2, along with an income of 40, we find that the utility equalization condition leads to y = x/2.
With the budget constraint of x + 2y = 40, we solve for x = 20 and y = 10, giving the optimal consumption choice (20, 10) labeled as point A on the graph.
After the price change, with the price of y falling to 1, the consumer aims to maintain the same utility level. Setting MUX/Px = MUY/Py, we find x = y, and using the budget constraint x + y = 40, we get x = y = 20, resulting in the optimal consumption choice (20, 20) labeled as point B.
The substitution effect is illustrated by a movement from A to B along the budget constraint. The new optimal consumption choice (C) after the price change is determined by the new budget constraint x + y = 40, where x = 30 and y = 10, labeled as point C on the graph.
The income effect is depicted by the parallel shift of the budget constraint line outward from the origin.
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Solve the system of equations given below.
Answer:
The system of this equation is ( -1, 10) which is Option A.
Step-by-step explanation:
Solve for y in the first equation.
[tex]y = - 5x + 5 \\ - 2y = - x - 21[/tex]
Replace all occurrences of yy with -5x+5 in each equation.
[tex]10x - 10 = - x - 21 \\ y = - 5x + 5[/tex]
Solve for x in the first equation.
[tex]x = - 1 \\ y = - 5x + 5[/tex]
Replace all occurrences of x with -1 in each equation.
[tex]y = 10 \\ x = - 1[/tex]
The solution to the system is the complete set of ordered pairs that are valid solutions.
(−1, 10)
Hence, the system of this equation is (-1, 10).
Option A.
PLEASE HELP FAST!!!!! I’ll mark brainliest
Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two thirds the distance from point P to point R.
4.9
4.7
2.5
2.3
PLS HELP
Answer:
Step-by-step explanation:
2.3
hhheeelllppp.........
Mr. D. decided to invest $2,500 into a share of his friend's company because his
friend guaranteed that his money would increase at a rate of 14% every month.
How much money should Mr. D have after 7 months?
(15 points !!!) What is the measure of
A. 25°
B. 75°
C. 90°
D. 105°
Answer:
D. 105°
Step-by-step explanation:
Find x.
30
20
Need help with this question asap
Answer:
x = 10[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 20[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 10[tex]\sqrt{3}[/tex]
How long is 75% of a 24-hour day? How far is 75% of a 2,000-kilometer trip? How much is 75% of 10 liters of milk?
Consider the following sentence and scheme of abbreviation: Only lunatics drive on the autobahn. Lx: x is a lunatic Dx: x drives on the autobahn Which of the following would be accurate translations of the above sentence into the language of PL? a. (x)(DxLx) b. (Ex)(DxLx) C. (x)(LxDx) d. (Ex)(LxDx)
Option b. (Ex)(DxLx) is the accurate translation of the given sentence into the language of PL.
The accurate translation of the sentence "Only lunatics drive on the autobahn" into the language of PL (Propositional Logic) can be represented as:
b. (Ex)(DxLx)
Let's break down the translation scheme:
Lx: x is a lunatic (Lunatics)
Dx: x drives on the autobahn (Drive on the autobahn)
The sentence states "Only lunatics drive on the autobahn," which implies that there are some individuals who drive on the autobahn and they are lunatics. This can be expressed using existential quantification (Ex) to indicate that there exists at least one individual who satisfies the condition. Therefore, option b. (Ex)(DxLx) accurately translates the given sentence.
Option a. (x)(DxLx) would mean "For all x, x drives on the autobahn implies x is a lunatic." This does not capture the meaning of the original sentence because it suggests that everyone who drives on the autobahn is a lunatic, which is not what the sentence implies.
Option c. (x)(LxDx) would mean "For all x, x is a lunatic implies x drives on the autobahn." Again, this does not capture the intended meaning of the original sentence as it suggests that all lunatics drive on the autobahn.
Option d. (Ex)(LxDx) would mean "There exists an x such that x is a lunatic and x drives on the autobahn." This translation does not capture the sense of the original sentence, which states that only lunatics drive on the autobahn, not that there exists at least one lunatic who drives on the autobahn.
Therefore, option b. (Ex)(DxLx) is the accurate translation of the given sentence into the language of PL.
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Which of the expressions below is equal to 8x+4? Select all that apply
Answer:
C and D.
Step-by-step explanation:
For C, 4 * 2x = 8x and 4*1 = 4.
For D, 5x+3x = 8x and 2+2 = 4.
Answer:
A) 8( x + 2 ) is the only equal expression.
p(s) = 40 + 12d Rewrite the equation for 8a function notation .
Answer:
Function notation means to replace y= into f(x)=. So I think that it would be f(x) = 40 +12d.
Step-by-step explanation:
What is the value of f?
[tex]f+44^{\circ}[/tex] and [tex]71^{\circ}[/tex] are opposite angles.
Therefore
[tex]f+44^{\circ}=71^{\circ}\\f=27^{\circ}[/tex]
27°
Step-by-step explanation:Using information about angles, we can create an equation to solve for f.
Verticle Angles
There is a special angle relationship known as vertical angles. Vertical angles are opposite angles made by interesting lines. The left angle (made up of f and 44°) and the right angle (71°) are vertical angles. We know this because they are opposite each other and formed by the same interesting lines. Verticle angles are always congruent. This means that their measurements are equal.
Solving for f
We can use the information above to create an equation. Since we know that the left and right angles are congruent, we can set the equal to each other.
f + 44 = 71Now, we can subtract 44 from both sides and solve for f.
f = 27So, angle f must equal 27°.
If Erwin makes $23,440 a year, what does
he make each month?
Answer: 1,953
Step-by-step explanation:
23,440 divided by 12
HELPPPPPPPPPP :(
If there are two doors, each 36 inches wide.
Door A opened to 86° angle. Door B opened to 82°
which door's outer edge is farther from its closed position? and please explain it ♡
Answer:
B its B
Step-by-step explanation:
pls help immediately!!! i’ll be giving brainiest to those who provide the write answer and who don’t leave a link!
Answer:
trapazoid
Step-by-step explanation:
.....
Ops gets $140 per day and laborers get $100 per day. If 35 people were hired and payroll was $4820, how many ops were employed and how many laborers?
Answer:
2 laborers and 33 ops
Step-by-step explanation:
Given
Let:
L = Laborers
P = Ops
From the statements, we have:
[tex]L + P = 35[/tex] -- total people hired; and
[tex]140P + 100L = 4820[/tex] ---number of hirees
Required
Solve for L and P
Make L the subject in: [tex]L + P = 35[/tex]
[tex]L = 35 - P[/tex]
Substitute [tex]L = 35 - P[/tex] in [tex]140P + 100L = 4820[/tex]
[tex]140P + 100(35 - P) = 4820[/tex]
[tex]140P + 3500 - 100P = 4820[/tex]
Collect like terms
[tex]140P - 100P = 4820 - 3500[/tex]
[tex]40P = 1320[/tex]
Solve for P
[tex]P = 1320/40[/tex]
[tex]P = 33[/tex]
Substitute [tex]P = 33[/tex] in [tex]L = 35 - P[/tex]
[tex]L = 35 - 33[/tex]
[tex]L = 2[/tex]