In order to cater a holiday banquet, food service LLC agrees to buy one hundred pumpkin pies from great desserts inc. to be enforceable, the agreement must be in writing if the pies cost at least $500.
What is an Agreement?
This refers to the legally binding contract that exists between two or more entities where the terms of the contract have been drawn up and the terms have been agreed upon by all parties involved, subject to certain conditions before it can be enforceable.
Hence, we can see that in order to cater a holiday banquet, food service LLC agrees to buy one hundred pumpkin pies and because they are a limited liability company, there needs to be a minimum threshold and this can be done, if the cost of the pies is at least $500.
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Solve x2 + 4x = 1 for x by completing the square.
x = −3
x = −1
x equals plus or minus square root of 5 minus 2
x equals plus or minus square root of 5 plus 2
Using the completing square method, the value of (C) x = ±√5 - 2.
What is completing the square method?A quadratic polynomial of the form ax2+bx+c can be transformed to the form in elementary algebra by using the "completing the square" method for certain values of h and k.
In other words, the quadratic expression is completed by inserting a perfect square trinomial.
So, we have:
x² + 4x = 1
The x-coefficient terms must be divided by two:
4/2 = 2
Square:
2² = 4
Add 4 on both sides as follows:
x² + 4x + 4 = 1 + 4
x² + 4x + 4 = 5
Transform into perfect squares:
(x + 2)² = 5
Both sides of the square root:
x + 2 = ±√5
x = ±√5 - 2
Therefore, using the completing the square method, the value of (C) x=±√5-2.
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Complete question:
Solve x2 + 4x = 1 for x by completing the square.
a. x = −3
b. x = −1
c. x equals plus or minus the square root of 5 minus 2
d. x equals plus or minus square root of 5 plus 2
Answer:
is c correct?
Step-by-step explanation:
1. Which equation describes the line with
slope -4 and y-intercept 2?
A y=-4x+2
B y=-4x-2
C y=4x-2
D y = 4x + 2
Answer:
Step-by-step explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Therefore, the equation of the line with slope -4 and y-intercept 2 is y = (-4)x + 2.
Fully simplify.
(3x^2y^2)^3
(3x
2
y
2
)
3
Answer:
[tex]27x^6y^6[/tex]
Step-by-step explanation:
The formatting of the question is a bit confusing, but if the expression is [tex](3x^2y^2)^3[/tex], use the power of a product exponent rule [tex](ab)^m=(a)^m(b)^m[/tex]. So,
[tex](3x^2y^2)^3=(3)^3(x^2)^3(y^2)^3[/tex].
Next, use the power of a power exponent rule [tex](a^m)^n=a^{m*n}[/tex]. So,
[tex](3)^3(x^2)^3(y^2)^3=27(x^{2*3})(y^{2*3})=27x^6y^6[/tex]
The length and height of room & 6m and 3m and its volume is 90m cube then find the breadth and cost of carpenting the floor the rate of Rs. 12 per square meter.
The cost of the carpentering of the floor at the rate 12 rupees per square meter is 60 rupees.
What is cuboid?A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.
We have the room as a cuboid.
And its length is 6 meters and height is 3 meters.
The volume of the cuboid = length x height x width
90 = 6 x 3 x width
width = 90 / 18
width = 5 meter.
To find the cost of carpentering the floor, the rate of Rs. 12 per square meter.:
12 x width = 12 x 5 = 60 rupees.
Therefore, at the rate of 12 rupees per square meter, the cost of the carpentering of the floor is 60 rupees.
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Say that we have three voters deciding among seven candidates, a, b, c, d, e, f, g. Their preference orderings are as follows.
1 2 3
(Best) c f g
a b b
e c c
g g d
b a e
d d f
(W orst) f e a
a. Find the top cycle.
b. For each candidate in the top cycle, write down an agenda (a sequence of majority rule
votes) that makes that candidate win (you can write the agenda as a tree).
c. Say that the voters use the Borda count system (each voter gives 6 points to their first
choice, 5 points to their second choice, and so on) to decide among the candidates. Which
candidate wins?
d. Is the Borda count winner also the Condorcet winner?
e. Which candidate does the worst in the Borda count?
f. Say that the person who does worst in the Borda count (your answer in part e. above) is
embarrassed about their poor performance, and tries to convince another candidate to drop
out so that they are no longer the worst person. If a candidate drops out, there would be
six candidates, and hence in the Borda count system, each voter gives 5 points to their first
choice, 4 to their second choice, and so forth. If a candidate drops out, is it possible for the
person who was originally the worst to no longer be the worst? If so, which candidate should
drop out? If not, please explain why not.
A. The top cycle in this case is a -> b -> c -> a.
B. The agenda that wins the candidate is:
First vote:
a vs b -> a wins
Second voice:
versus. c -> a wins
The agenda that Candidate B wins is:
First vote:
b vs c -> b wins
Second Voice:
b vs a -> b wins
The agenda that Candidate C wins is:
First vote:
c vs a -> c wins
Second Voice:
c vs b -> c wins
C. Using the Borda count system, the candidates' scores are as follows:
a:
18 points (6 points from voter 1, 4 points from voter 2, and 8 points from voter 3)
b:
18 points (4 points from voter 1, 6 points from voter 2, and 8 points from voter 3)
c:
18 points (6 points from voter 1, 8 points from voter 2, and 4 points from voter 3)
d:
12 points (8 points from voter 1, 4 points from voter 2, and 0 points from voter 3)
e:
12 points (4 points from voter 1, 8 points from voter 2, and 0 points from voter 3)
f:
12 points (8 points from voter 1, 0 points from voter 2, and 4 points from voter 3)
g:
6 points (4 points from voter 1, 0 points from voter 2, and 2 points from voter 3)
Therefore, candidates a, b, and c tie for first place with 18 points each.
D. No, the Borda count winner is not the Condorcet winner, because the Condorcet winner is the candidate who would win in a majority rule vote against every other candidate. In this case, candidate c is the Condorcet winner, because c beats a and b in majority rule votes.
E. The candidate with the worst score in the Borda count is g of 6 points.
F. If a candidate fails, the original worst candidate may no longer be the worst. In this case, if candidate g fails, the remaining candidates will have the following results:
a:
15 points (Voters 1 to 5 points, Voters 2 to 4 points, Voters 3 to 6 points)
b:
15 points (Voters 1 to 4 points, Voters 2 to 5 points, Voters 3 to 6 points)
c:
15 points (Voters 1 to 5 points, Voters 2 to 6 points, Voters 3 to 4 points)
Day:
10 points (voters 1 to 6 points, voters 2 to 4 points, voters 3 to 0 points)
e:
10 points (voters 1 to 4 points, voters 2 to 6 points, voters 3 to 0 points)
f:
10 points (voters 1 to 6 points, voters 2 to 0 points, voters 3 to 4 points)
In this case, g's 6-point score is not included in the calculation, so candidate g is no longer last.
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What is BC?
BC= units?
The value of BC = 25 using properties of triangle.
What are properties of triangle ?
Let us discuss here some of the properties of triangles.
1. A triangle has three sides and three angles.
2. The sum of the angles of a triangle is always 180 degrees.
3. The exterior angles of a triangle always add up to 360 degrees.
4. The sum of consecutive interior and exterior angle is supplementary.
Properties for isosceles:
Isosceles triangles are those triangles that have at least two sides of equal measure.
1. Two equal sides and two equal angles.
2. The two equal sides of an isosceles triangle are called the legs and the angle between them is called the vertex angle or apex angle.
3. The side opposite the vertex angle is called the base and base angles are equal.
Using 1st property,
in given triangle two angles are equal then opposite side will also be equal.
So, AB = AC
i.e. 4x+4 = 6x-14
4+14 = 6x-4x
18 = 2x
x = 9
Putting value of x in BC
BC = 2*9 +7
= 18+7
= 25.
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Let a, b, and c be real numbers where a ≠ b ≠ c ≠ 0. Which of the following functions could represent the graph below?
f(x) = x²(x-a)²(x-b)4(x-c)
f(x) = x³(x-a)³(x-b)(x-c)²
f(x) = x²(x-a)(x-b)³(x-c)³
f(x) = (x-a)^2(x-b)(x-c)^6
The characteristics of polynomial graphs' intercepts reveal the multiplicity's characteristics. The function is a potential representation of the graph; f(x) = x²·(x - a) (x - a) , ²·(x - b) (x - b),⁴·(x - c) (x - c).
How to find the calculation?The alternative provides a function that can represent a graph;
f(x) = x²·(x - a) (x - a)
²·(x - b) (x - b)
⁴·(x - c) (x - c)
Reason:
The graph's description is as follows:
Three points on the graph deviate from the x-axis.
Therefore;
The first equation is satisfied by the graph's even multiplicity at three places, such as x2, (x - a)2, and (x - b)4.
The graph once almost linearly crosses the x-axis.
Therefore;
The first equation's function contains a single zero or component, such as (x - c), so;
The function is a potential representation of the graph;
f(x) = x²·(x - a) (x - a)
²·(x - b) (x - b)
⁴·(x - c) (x - c).
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Conrad Savings Bank has a $50 overdraft fee. On Friday, Mr. McQuire deposited his paycheck of $332 for a total
account balance of $750. The next morning, his wife wrote a check for $1,183.15 for a new refrigerator and stove.
The check cleared the bank by the end of the day. What is the current balance in the McQuire's account?
Answer: -433.15
Step-by-step explanation:
he's id debt and has to pay off the 433.15 later on.
Answer:
The McQuires' account is currently overdrawn by $483.15.
Step-by-step explanation:
If the McQuires' account balance was $750 on Friday and they wrote a check for $1,183.15 on Saturday, then the balance would be 750 - 1,183.15 = -$433.15 after the check cleared. Since the bank charges a $50 overdraft fee, the final balance in the McQuires' account would be -$433.15 - $50 = -$483.15. The McQuires' account is currently overdrawn by $483.15.
Write an equivalent fraction to 5/8 with a denominator of 40
Step-by-step explanation:
So you have 5/8 and you want the equivalent fraction to have a denominator of 40. You put 5/8=X/40 and find for x.
First, multiply both sides by 40
5/8*40=x
Express 5/8 * 40 as a single fraction.
5*40/8=x
Multiply 5 40 to get 200.
200/8=x
Divide 200 by 8 to get 25.
25=x
Swap sides so that all variable terms are on the left-hand side.
x=25
AXY is similar to ABC
Which of the following expressions could be used to determine the length of segment AB?
The expression that could be used to determine the length of segment AB in the triangles given is: A. AB = AX * AC/AY.
What are Similar Triangles?When two triangles are stated to be similar to one another, it means both triangles have equal corresponding angles, but their corresponding sides have proportional lengths or have ratios that are equal.
This means similar triangles have the same shape but different sizes, since their corresponding side lengths have proportional length.
Given that triangle AXY is similar to triangle ABC, it means that:
m<A = m<A
m<X = m<B
m<Y = m<C
AX/AB = AY/AC = XY/BC
To find the length of AB, we could use the following expression derived from the ratios stated above:
AX/AB = AY/AC
Cross multiply:
(AB) * (AY) = (AX) * (AC)
Divide both sides by AY
(AB) * (AY) / AY = (AX) * (AC) / AY
AB = AX * AC/AY
The expression to use is: A. AB = AX * AC/AY
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Given the conditional statement ~p → q, which statement is logically equivalent?
p → ~q
~p → ~q
~q → ~p
~q → p
Answer:
~q → pStep-by-step explanation:
Given the conditional statement ~p → q, the statement logically equivalent is ~q → p.
Suppose that DEF is isosceles with base DE.
Suppose also that mZD=(5x+26)° and mZF = (3x+63)°.
Find the degree measure of each angle in the triangle.
k
D
(5x + 26)
-(3x + 63)°
E
mZD=
mZE=
mZF =
X
O
The degree measure of each angle in the triangle would be
m∠D = 56°
m∠F = 81°
m∠E = 43°
What is an isosceles triangle?
In an isosceles triangle, the two base angles are congruent, or equal in measure.
In addition, the sum of the measures of the angles in any triangle is always 180 degrees. Therefore, we can set up an equation to find the measure of each angle in the triangle:
m∠D + m∠F + m∠E = 180 degrees
Substituting the given values for the measures of angles D and F, we get:
(5x+26) + (3x+63) + m∠E = 180
Combining like terms and solving for m∠E, we find that:
m∠E = 180 - (5x+26) - (3x+63)
= 180 - 8x - 89
= 91 - 8x
Therefore, the measure of angle E is 91 - 8x degrees.
To find the measure of angles D and F, we can substitute this value back into the equation:
m∠D + m∠F + m∠E = 180
(5x+26) + (3x+63) + (91-8x) = 180
Solving for x, we find that x = 6.
m∠D =5(6) + 26 = 30 + 25 = 56°
m∠F = 3(6) + 63 = 18 + 63 = 81°
m∠E = 91 - 8(6) = 91 - 48= 43°
Therefore, the degree measure of each angle in the triangle would be
m∠D = 56°
m∠F = 81°
m∠E = 43°
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The degree measure of each angle in the triangle would be
m∠D = 56°
m∠F = 81°
m∠E = 43°
What is an isosceles triangle?
In an isosceles triangle, the two base angles are congruent, or equal in measure.
In addition, the sum of the measures of the angles in any triangle is always 180 degrees. Therefore, we can set up an equation to find the measure of each angle in the triangle:
m∠D + m∠F + m∠E = 180 degrees
Substituting the given values for the measures of angles D and F, we get:
(5x+26) + (3x+63) + m∠E = 180
Combining like terms and solving for m∠E, we find that:
m∠E = 180 - (5x+26) - (3x+63)
= 180 - 8x - 89
= 91 - 8x
Therefore, the measure of angle E is 91 - 8x degrees.
To find the measure of angles D and F, we can substitute this value back into the equation:
m∠D + m∠F + m∠E = 180
(5x+26) + (3x+63) + (91-8x) = 180
Solving for x, we find that x = 6.
m∠D =5(6) + 26 = 30 + 25 = 56°
m∠F = 3(6) + 63 = 18 + 63 = 81°
m∠E = 91 - 8(6) = 91 - 48= 43°
Therefore, the degree measure of each angle in the triangle would be
m∠D = 56°
m∠F = 81°
m∠E = 43°
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Frank bought two pork roasts. One roast weighed five and seven-eighths pounds and the other roast weighed nine and five-sixths pounds. What is the total weight of the pork roasts?
Answer:
15[tex]\frac{17}{24}[/tex]
Step-by-step explanation:
5 [tex]\frac{7}{8}[/tex] + 9 [tex]\frac{5}{6}[/tex] We can write the fractions as equivalent fractions with a common denominator of 24
[tex]\frac{7}{8}[/tex] x[tex]\frac{3}{3}[/tex] = [tex]\frac{21}{24}[/tex]
[tex]\frac{5}{6}[/tex] x [tex]\frac{4}{4}[/tex] = [tex]\frac{20}{24}[/tex]
5[tex]\frac{21}{24}[/tex] + 9[tex]\frac{20}{24}[/tex]
5 + 9 + [tex]\frac{21}{24}[/tex] + [tex]\frac{20}{24}[/tex]
14 + [tex]\frac{41}{24}[/tex]
14 + [tex]\frac{24}{24}[/tex] + [tex]\frac{17}{24}[/tex] I broke up [tex]\frac{41}{24}[/tex] because [tex]\frac{24}{24}[/tex] is another name for 1
14+1 + [tex]\frac{17}{24}[/tex]
15[tex]\frac{17}{24}[/tex]
The length of four rivers in Africa is shown in the table below.
How is the length of the Zambezi river written in scientific notation?
Move the correct answer to each box. Not all answers will be used.
The length of the Zambezi river is 838 × 10⁵ or 83.8 × 10⁶ or 8.38 × 10
What is scientific notation?
Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation.
For example, 750,000,000 can be written in scientific notation as 7.5 ✕ 10⁸.
The length of the Zambezi river 83,800,000 feet.
Rewrite 83,800,000:
83,800,000 = 838 × 100000
83,800,000 = 838 × 10⁵ [Since the number of zeros is 5]
Multiply and divide 10:
83,800,000 = 838 × 10⁵ × (10/10)
83,800,000 = (838/10) × 10⁵ × 10
83,800,000 = 83.8 × 10⁵ × 10
83,800,000 = 83.8 × 10⁶
Multiply and divide 10:
83,800,000 = 83.8 × 10⁶ × (10/10)
83,800,000 = (83.8/10) × 10⁶ × 10
83,800,000 = 8.38 × 10⁷
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write down in trems of n an expression for the nth term in the following sequences 1 8 15 22 29
The expression which represents the nth term of the given sequence, in terms of n as required in the task content is; T (n) = 1 + 7(n - 1).
Which expression represents the nth term of the expression in terms of n?It follows from the task content that the expression which represents the nth term of the given sequence, in terms of variable, n be determined.
According to the task content, the first term, a of the sequence is; 1.
Also, since; 8 - 1 = 15 - 8 = 22 - 15 = 29 - 22 = Common difference, d = 7.
Consequently, the required expression is an arithmetic sequence which can be modelled by;
T (n) = a + d (n - 1)
Since the constant common difference of consecutive terms in the sequence is; 7,
Therefore, the expression for the nth term of the expression is;
nth = 1 + 7(n -1)
On this note, the required expression which represents the nth term of the arithmetic sequence in discuss is; T (n) = 1 + 7 (n -1).
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The better your time management skills are, the more work you are able to do is an example of a Continuous correlation Biserial correlation O Positive correlation O Negative correlation
The time management skill and amount of work done is an example of positive correlation.
Correlation or dependency pertains to any statistical link involving two random variables or bivariate data, whether causal or not. Although the term "correlation" can refer to any form of link, in statistics it is most usually used to refer to the degree to which two variables are statistically linearly associated.
The link between the heights of parents and their children, as seen in the enough that demand curve, and the correlation between the price of an item and the quantity of items that buyers are willing to acquire are examples of dependent phenomena.
The Pearson product-moment correlation coefficient (PPMCC), sometimes known as "Pearson's correlation coefficient," is the most commonly used measure of two-value dependency.
It is computed by dividing the covariance ratio of the two variables in our numerical dataset by the square root of their variances. The covariance of the two variables is simply divided by the product of their standard deviations in mathematics. The coefficient was calculated by Karl Pearson from Francis Galton's similar but slightly different idea.
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URGENT!!!!
Find z such that 7% of the area under the standard normal curve lies to the right of z.
The value of z such that 7% of the area under the standard normal curve lies to the right of z is approximately -0.4
How to find z such that 7% of the area under the standard normal curve lies to the right of z?
To find the value of z such that 7% of the area under the curve lies to the right of z, we need to find the value of z such that 43% of the area lies to the left of z.
This value of z is known as the 43rd percentile of the standard normal curve.
We can use a table of the standard normal distribution, also known as the z-table, to find the value of z corresponding to the 43rd percentile.
According to the z-table, the value of z corresponding to the 43rd percentile is approximately -0.4
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HEPPPP ASPP!!! PLEASE I BEG YOU !!
John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck. Which table shows the relationship between h, the number of hours john’s brother works, and c, the total cost of the project ?
According to the given questions the answer is for 3 hour $560, for 8 hour cost $685 and for 12 hour cost $785.
What are time and work?A crucial concept that time and labour have in common with some other mathematical topics is the concept of proportionality. Because efficiency grows inversely linked to the amount of time needed when the quantity of work is constant.
What is work time problem in math?The fundamental equation for solving is 1/r+1/s=1/h. Let's choose Hrithik as our example. Let's assume that Hrithik completes 1/20 of something like the work in a day and Dhoni completes 1/30 of the work in a day. They will accomplish 1/20 + 1/30 = 5/60 = 1/12th of something like the work in a day if they collaborate.
Briefing:Given that John paid $485 to build a deck.
And he will pay $25 per hour to his brother for building the deck.
one hour of work costs John $25 + $485 .
Total cost of building deck = $25 × h number of hours + $485
3 hour of work costs $25 × 3 = $75 + $485 = $560
8 hour of work costs = $25 × 8 = $200 + $485 = $685
12 hour of work costs = $25 × 12 = $300 + $485 = $785
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The complete question is-
John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck. Which table shows the relationship between h, the number of hours John’s brother works, and c, the total cost of the project?
h c
0 485
3 510
8 535
12 560
h c
0 510
3 535
8 560
12 585
h c
0 485
3 560
8 685
12 785
h c
0 510
3 585
8 710
12 810
Solve each of the quadratic equations.
0 = 5x2 - 2x + 6
Newsweek performed a poll in which 500 American parents were asked the question, “Would you prefer to have your child taught by a male or female for grades K-2?” Only 40% responded that they would prefer to have their child taught by a male in grades K-2. Construct a 95% confidence interval for the poll.
Newsweek performed a poll in which 500 American parents were asked the question, “Would you prefer to have your child taught by a male or female for grades K-2?” 95% confidence interval for the poll is
(38.88%, 41.12%)
What is a confidence interval?Generally, To construct a 95% confidence interval for the poll, we need to first calculate the margin of error. The margin of error for a poll is a measure of the precision of the estimate and is calculated based on the sample size, the level of confidence, and the standard deviation of the population.
In this case, the sample size is 500, the level of confidence is 95%, and the standard deviation of the population is unknown. We can approximate the standard deviation using the sample proportion of 40% as an estimate of the population proportion.
Using these values, the margin of error can be calculated as follows:
Margin of error = z * standard error
Where z is the critical value from the standard normal distribution for the desired level of confidence (in this case, 1.96 for a 95% confidence interval) and the standard error is calculated as:
Standard error = √(p * (1 - p) / n)
Where p is the sample proportion (40% in this case) and n is the sample size (500 in this case).
Substituting these values into the formula for the margin of error, we get:
Margin of error = 1.96 * √(0.4 * (1 - 0.4) / 500)
= 1.96 * sqrt(0.16 / 500)
= 1.96 * √(0.000032)
= 1.6 * 0.005656854
= 0.011168
So the margin of error for this poll is approximately 0.011168 or 1.12%.
To construct the 95% confidence interval, we need to add and subtract the margin of error from the sample proportion. The 95% confidence interval for the poll is, therefore:
40% ± 1.12%
= (38.88%, 41.12%)
This means that we can be 95% confident that the true population proportion of parents who would prefer to have their child taught by a male in grades K-2 lies within the interval between 38.88% and 41.12%.
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Help me please just 5-8
Answer:
listed below
Step-by-step explanation:
5.) x=77 and y=63
6.)y=60 and x= 1230
7.)y=65 and x=92
8.)y=69 and x=175
the temperature of city changed by total of -12 degrees Celsius over 2 weeks period. the temperature changed by the same amount each week. Part A write an expression to show the average change in the temperature of the city each week. Part B simply the expression and explain, using words, what your answer mean
Answer:
The number of degrees Celsius goes down 6 every week. (-6)
Step-by-step explanation:
If the city's temperature changed the same every week, and over the period of 2 weeks it changed -12 degrees Celsius, we need to figure out how much it changed every week (c). We can do this by dividing the number of weeks (w), by the total number of Celsius it changed (t).
The equation will look something like this:
w ÷ t = c
Fitting the numbers into this equation will look something like this:
2 ÷ -12 = -6
Every week, it changed -6 degrees Celsius.
Simplifying the expression, every week it changed -6 degrees Celsius. We know this because the temperature changes the same amount every week. So if the total amount is -12, we have to divide that by 2 to get -6.
over the past 30 years, the sample standard deviations of the rates of return for stock x and stock y were 0.20 and 0.12, respectively. the sample covariance between the returns of x and y is 0.0096. the correlation of the rates of return between x and y is the closest to .
The correlation of the rates of return between x and y is the closest to = 0.4
What is Correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate). It's a common tool for describing simple relationships without making a statement about cause and effect.
Calculation for the correlation of the returns,
Using this formula,
Covariance of the returns = Correlation coefficient between the returns*Stock returns standard deviation*Mod T Stock returns standard deviation
The sample standard deviations of the rates of return for stock x and stock y were 0.20 and 0.12
The sample covariance between the returns of x and y is 0.0096.
Let plug in the formula
Covariance of the returns = Correlation * (0.20) * (0.12)
0.0096 = Correlation * (0.20) * (0.12)
0.0096 = Correlation * 0.024
0.0096 / 0.024 = Correlation
0.4 = Correlation
Correlation = 0.4
Therefore,
The correlation of the rates of return between x and y is the closest = 0.4
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The implicational rule of inference that permits us to derive a specific instance from a universal statement isa. Existential Generalization.b. Existential Instantiation.c. Universal Generalization.d. Universal Instantiation.
Option D is the correct answer, Universal Instantiation is The implicational rule of inference that permits us to derive a specific instance from a universal statement.
It is the process of deriving an individual statement from a general one by replacing the variable with a name or another referring expression called Instantiation.
Universal Instantiation is also called universal specification or universal elimination, it is a valid rule of inference from the truth about each member of a class of individuals to the truth about a particular individual of that class.
Example: "No humans can fly. John Doe is human. Therefore John Doe can not fly."
∀xA⇒A(x↔a}
for every formula A and every term a, where A(x↔a} is the result of substituting a for each free occurrence of x in A. A(x↔a} is an instance of
∀xA.
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Use the extended Euclidean algorithm to find the greatest common divisor of 3,984 and 588 and express it as a linear combination of 3,984 and 588.
Step 1: Find
q1
and
r1
so that
3,984 = 588 · q1 + r1,
where
0 ≤ r1 < 588.
The greatest common divisor is 12. The linear combination of 3984 and 588 is given by 12 = 61×588 - 9×3984.
The extended Euclidean algorithm is an algorithm to compute integers x and y such that: ax+by=gcd(a,b)The extended Euclidean algorithm can be viewed as the reciprocal of modular exponentiation.
By reversing the steps in the Euclidean algorithm, it is possible to find these integers x and y. The whole idea is to start with the GCD and recursively work our way backwards. This can be done by treating the numbers as variables until we end up with an expression that is a linear combination of our initial numbers.
First use Euclid's algorithm to find the GCD:
3984 = 588 ×6 + 456
588 = 456×1 +132
456= 132 ×3 + 60
132 = 60×2 +12
60 = 12×5+0
The last non-zero remainder is 12.
Thus, the greatest common divisor is 12.
Now we use the extended algorithm:
12 = 132 +(-2)×60
= 132 + (-2)×(456 + (-3)×132))
= (-2)×456 + 7×132
= (-2)×456 + 7×(588 +(-1)×456))
= 7×588 + (-9)×(3984 +(-6)×588))
= 61×588 + (-9)×3984
Thus, a = -9 and b = 61.
Thus, the linear combination of 3984 and 588 is given by 12 = 61×588 - 9×3984.
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Need Help with this question.
Answer:
x=5
Step-by-step explanation:
If p and q are parallel, then the two angles in question should be equal to one another.
So,
(3x+15)°=(8x-10)°
(3x+15)°+10°=(8x-10)°+10°
(3x+25)°=(8x)°
(3x+25)°-(3x)°=(8x)°-(3x)°
25°=5x°
5=x
So, the two angles should be (8(5)-10)° and (3(5)+15)°. Both of these expressions equal 30°. This makes sense, as the illustration shows that the two angles are acute.
3 less than the difference of 15 and a number h
Answer: 15 - h - 3
Step-by-step explanation:
Find the rate of change of the line that contains the two points (-1, -4) and (5, 4). Be sure to show all calculations and reduce your slope to a fraction in simplest form.
The rate of change of the line that contains the two points (-1, -4) and (5, 4) is 4/3.
What is the rate of change of the line?The rate of change for a line is the slope, the rise over run, or the change in over the change in.
The slope of line can be calculated using the formula, slope =(y2-y1)/(x2-x1).
The given coordinate points are (-1, -4) and (5, 4).
Now, slope = (4-(-4))/(5-(-1))
= (4+4)/(5+1)
= 8/6
= 4/3
Therefore, the slope of a line is 4/3.
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the triangles are similar solve for x
Answer:
show the whole question
Step-by-step explanation:
Create a table showing all the tasks you and your family do around the house that use water and how often those tasks happen. Leave space for one more column.
