If the correlation between variables a and b is +0.52, then it shows that as value on A increases, the value on B increases
The correlation between variable a and variable b = +0.52
The correlation is defined as the statistical variable that show the relationship between the variables. So when one variable increases another variable increase or if one variable decreases another variable decreases. So correlation show the the variable changes at constant rate.
In the given details
The correlation between variable a and variable b is +0.52. The sign of the correlation is positive so variable a is increasing and the variable b will also increases at constant rate
Therefore, the best interpretation of correlation is as value on A increases, the value on B increases
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Suppose X = 6. If X changes to 27, what percentage change is this? Please round your answer to 2 decimal places.
The percentage change from 6 to 27 is approximately 350.00%.
To calculate the percentage change, we can use the following formula:
Percentage Change = ((New Value - Old Value) / Old Value) * 100
Given:
Old Value (X) = 6
New Value = 27
Using the formula, we have:
Percentage Change = ((27 - 6) / 6) * 100
Calculating this expression, we find:
Percentage Change ≈ 350.00
Rounding the percentage change to two decimal places, we have:
Percentage Change ≈ 350.00%
Therefore, the percentage change from 6 to 27 is approximately 350.00%.
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The percentage change from 6 to 27 is approximately 350.00%.
To calculate the percentage change, we can use the following formula:
Percentage Change = ((New Value - Old Value) / Old Value) * 100
We have:
Old Value (X) = 6
New Value = 27
Using the formula, we have:
Percentage Change = ((27 - 6) / 6) * 100
Calculating this expression, we find:
Percentage Change ≈ 350.00
Rounding the percentage change to two decimal places, we have:
Percentage Change ≈ 350.00%
Therefore, the percentage change from 6 to 27 is approximately 350.00%.
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our friend sings every saturday night at your favorite bar in san diego. during his show, people show up at the rate of 1 person every minute. a) [4 points] what is the probability that on a random minute, at least 3 people show up?
If people show up at rate of 1 person every minute , then the probability that on a random minute , at least 3 people show up is 0.084 .
The number of people showing up at bar in San Diego during any random minute is a Poisson process with an average rate of 1 person per minute.
Let X = number of people who show up during a random minute.
Then X will follows a Poisson distribution with parameter λ = 1.
So , probability of at least 3 people showing up in a random minute is:
⇒ P(X ≥ 3) = 1 - P(X < 3)
⇒ 1 - (P(X = 0) + P(X = 1) + P(X = 2))
By using Poisson probability mass function for finding P(X = k) for k = 0,1,2 ;
⇒ P(X = k) = (\(e^{-\lambda}\))×(\(\lambda ^{k}\))/k!
Substituting in λ = 1, we get ;
⇒ P(X = 0) = (\(e^{-1}\))×(\(1 ^{0}\))/0! = 1/e ;
⇒ P(X = 1) = (\(e^{-1}\))×(\(1 ^{1}\))/1! = 1/e ;
⇒ P(X = 2) = (\(e^{-1}\))×(\(1 ^{2}\))/2! = 1/2e ;
So, the probability of at least 3 people showing up in a random minute is:
⇒ P(X ≥ 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2))
= 1 - (1/e + 1/e + 1/2e) = 1 - (2/e + 1/2e)
= 1 - (5/2e)
= 0.083019 ≈ 0.084 .
Therefore , the required probability is 0.084 .
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The given question is incomplete , the complete question is
Your friend sings every Saturday night at your favorite bar in San Diego. During his show, people show up at the rate of 1 person every minute.
What is the probability that on a random minute, at least 3 people show up ?
Triangle RST is dilated to produce triangle R'S'T. Which statement describes triangle R'S'T? Its x- and y-coordinates are 2 times the corresponding coordinates of triangle RST. Its x- and y-coordinates are of the corresponding coordinates of triangle RST. Its x- and y-coordinates are the opposite of the corresponding coordinates of triangle RST. Its x- and y-coordinates are interchanged compared to the coordinates of triangle RST.
Answer:
I believe it is A; Its x- and y- coordinates are 2 times the correspopnding coordinated of the triangle RST.
Step-by-step explanation:
It just seems the most plausible. I am also taking the Quiz right now.
Answer:
Its A
Step-by-step explanation:
The Triangle is 2x bigger
Got it right on edg
Choose the appropriate transformation for the figure
Picture above ***
How many degrees is 7/4 of a semicircle?
Answer:
315
Step-by-step explanation:
7/4 of 180°
= 1.75 * 180
= 315°
which of the following values is not a soliution to -4x - 6.8<34
A. X=-9
B. X=-10.2
C. X=-11
D. X=-10
The value not in the solution is x = -10.2
How to determine the value not in the solution?The inequality expression is given as:
-4x - 6.8<34
Add 6.8 to both sides of the inequality
So, we have:
-4x < 40.8
Divide both sides by -4
x > -10.2
This means that only values greater than -10.2 are in the solution set
Hence, the value not in the solution is x = -10.2
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Plz help out!! And no this is not a test :)
9514 1404 393
Answer:
B = (-4, 5)
Step-by-step explanation:
Reflection over the origin changes the signs of the coordinates.
(x, y) ⇒ (-x, -y)
(4, -5) ⇒ (-4, 5)
Point B is (-4, 5).
Answer:
(-4,5)
Step-by-step explanation:
i do not know
i do not know
i do not know
i do not know
the base of a rectangle is three times as long as the height. of the perimeter is 64, what is the area of the rectangle
Answer: 192
Step-by-step explanation:
Use algebra
x + 3x + x + 3x = 64 (perimeter)
Combine Like Terms
8x = 64
x = 8
8 + 24 + 8 + 24 = 64
24/8 = 3
Katrina is going to order sweatshirts for her girls mentoring group. The sweatshirts will have the group logo printed on the front. Katrina asks two local companies to give her a price.
MH Designs will charge $21.50 for each of the sweatshirts.
Print Rich will charge $18 for each sweatshirt plus a one-time setup cost of $70.
To complete the container label, Gordon needs to know the lateral surface area of the container. The lateral surface area is found using , where is the radius of the container’s base, and is the slant height. What is the lateral surface area of the container? Round to the nearest hundredth, if necessary. Show your work.
Based on the radius of the container's base, and the slant height, the lateral surface area would be 21.23 in².
How can the lateral surface area be found?= π x radius x slant height
The slant height is:
Cos BAC = BA / Slant height or AC
Cos 72° = 2 / AC
AC = 2 / Cos 72°
= 6.47 inch
The lateral surface is:
= 22/7 x 2 x 6.47
= 40.67 inch²
First part of question:
Gordon works for a graphic design firm and is creating a label for a food truck vendor. The vendor specializes in finger food and wants to sell food in right conical containers so they're easy for people to hold. To complete his label, Gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. Gordon has been given a model of the container and told that the diameter is 4 inches and the measure of angle BAC in the model is 72°.
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Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7
The equations that are equivalent are: 2 + x = 5, x + 1 = 4, x + (-4) = 7
These equations can be solved to find x = 3 and x = 11, respectively.
What is equation?An equation is a mathematical statement that uses an equal sign (=) to show that two expressions are equal.
According to given information:Equations are equivalent if they have the same solution or solutions. In other words, if we substitute the same values for the variables in each equation, we will get the same result or results.
In the given options, the equations that are equivalent are:
2 + x = 5 and x + 3 = 5, since they both simplify to x = 3.
x + 1 = 4 and x = 3, since they both simplify to x = 3.
x + (-4) = 7 and x = 11, since they both simplify to x = 11.
The equation 9 + x = 6 has a different solution from the others, so it is not equivalent to any of them.
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the number of buses arriving at a bus stop in any interval of minutes is a poisson random variable on average, a bus arrives every minutes. (a) for an interval of minutes, (b) what is the probability of buses arriving in a -minute interval? (c) what is the probability of no buses arriving in a -minute interval? (d) how much wait time is necessary to guarantee at least one bus with % probability?
(a) The mean number of buses arriving in any interval of minutes is λ = 1.
(b) The probability of buses arriving in a t-minute interval is P(X > 0) = 1 - P(X = 0), where X is a Poisson random variable with parameter λt.
P(X = 0) = \(e^{(-λt)}\) = \(e^{(-t)}\)Therefore, P(X > 0) = 1 - \(e^{(-t)}\).(c) The probability of no buses arriving in a t-minute interval is P(X = 0) = \(e^{(-λt)}\) = \(e^{(-t)}\).
(d) The probability of at least one bus arriving in a t-minute interval is
P(X ≥ 1) = 1 - P(X = 0) = 1 - \(e^{(-t)}\).
To guarantee at least one bus with a certain percentage of probability, we need to solve the inequality:
1 - \(e^{(-t)}\) ≥ pwhere p is the desired probability. Solving for t, we get:
t ≥ -ln(1-p)Therefore, the minimum wait time necessary to guarantee at least one bus with a probability of p is -ln(1-p) minutes.
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Is -5/3 rational or irratuonal
a bank pin is a string of seven digits, each digit 0-9. five of the digits {0, 2, 4, 6, 8} are even and five of the digits {1, 3, 5, 7, 9} are odd. how many pins are there in which exactly four of the digits are even?
The total number of choices is 5000, and the total number of choices is 2520.
We have 10 digits(0 to 9)
In the first place, second place, and third place we can put 0-9 means a total of 10 numbers.
In fourth place, we can only put 1, 3, 5, 7, and 9 means a total of 5 digits.
So total number of choices = 10×10×10×5 = 5000
When repetition is not allowed
When we put 1 at last place, then a number of choices:
=9×8×7×1 = 505
Similarly for 3, 5, 7, and 9 the number of choices same as placing 1 at last place, then a number of choices:
= 505+505 +505+505+505
= 2520.
Thus, the total number of choices is 5000,.
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Chloe is developing her risk management plan and wants to make sure that she can get early warning that a risk might occur. What is the key item she should document in her risk information forms
In Chloe's risk information forms, the key item she should document is the probability and impact of each identified risk.
To effectively monitor risks and obtain early warnings, Chloe should document the probability and impact of each identified risk in her risk information forms. Let's break down why this information is critical in risk management.
The impact of a risk represents the potential consequences or severity of its occurrence. By documenting the impact, Chloe can understand the potential damage or disruption a risk could cause. This allows her to prioritize risks based on their potential impact on the project or objective. By assigning an impact rating or value to each risk, Chloe can identify high-impact risks that require careful consideration and robust mitigation strategies.
Once Chloe has established the probability and impact for each risk, she can set thresholds or triggers for early warning signs. These thresholds act as indicators that a risk is approaching or crossing a critical level.
Chloe can track these thresholds regularly and set up a monitoring system that alerts her when a risk reaches or surpasses the specified levels. This allows her to take timely action and implement mitigation strategies before the risk escalates and negatively impacts the project.
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prove that for every positive integer n, ∑n k =1 k2k = (n − 1)2n+1 + 2
The formula holds for k+1 as well. By mathematical induction, the formula holds for all positive integers n.
Why the formula holds for all positive integers n?We can prove this by mathematical induction.
Base case: When n = 1, we have:
∑1 k=1 k^2k = 1^21 = 1
and
(n − 1)2n+1 + 2 = (1 − 1)2(1) + 2 = 2
So the formula holds for n = 1.
Inductive step: Assume that the formula holds for some positive integer k, i.e.,
∑k k=1 k^2k = (k − 1)2k+1 + 2
We want to show that the formula also holds for k+1, i.e.,
∑k+1 k=1 k^2k = k2k+1 + (k+1)^2(k+1)
Using the assumption, we can write:
∑k+1 k=1 k^2k = ∑k k=1 k^2k + (k+1)^2(k+1)
= (k − 1)2k+1 + 2 + (k+1)^2(k+1) (using the assumption)
= (k − 1)2k+1 + 2 + (k^3 + 3k^2 + 3k + 1)
= (k − 1)2k+1 + k^3 + 3k^2 + 3k + 3
= k^2(k+1) + k(k+1) + 2(k+1) + (k − 1)2(k+1)
= (k+1)[k^2 + k + 2(k-1)]
= (k+1)(k^2 + k + 2k - 2 + 2)
= k^3 + 3k^2 + 3k + 2k^2 + 2k + 2
= (k+1)^3 + 2
Therefore, the formula holds for k+1 as well.
By mathematical induction, the formula holds for all positive integers n.
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can somebody -3(x+4)+6
11) Bob wants to go to the movies with his friends. The movie theater charges $8 per ticket Bob's friends reserve $48.00 worth of tickets in advance. How many people in total can attend the movie? a) Identify the variable
Each ticket price = $ 8
Total Reserved Money = $ 48
We want to know how many people can attend with those 48 dollars. Let this unknown be "x".
Let "x" be the number of people that can attend the movie.
To find x, we can divide the total amount they ahve ($48) by each ticket price ($8).
Thus,
\(\frac{48}{8}=6\)Answer:
6 people in total can attend.
Help ASAP!!!!!!!!!!!!!!!!!!!!!!
square
its the middle bit that looks darker than the rest.
Suppose we draw a single card from a deck of 52 fair playing cards. what is the probability of drawing an ace or a two?
The probability of getting an Ace is 1/13.
Probability of an event = number of favorable outcomes for the event/number of all possible products.
First, let's calculate the number of all possible outcomes. Randomly picking the cards could result in each of the 52 being selected. So, there are 52 possible outcomes.
But if you want an Ace in your desired event, you have four options—ace of Spades, Ace of Clubs, Ace of Hearts, and Ace of Diamonds. Therefore, the number of favorable outcomes for Aces = 4.
Therefore,
The probability of getting an Ace with a deck of 52 cards = 4/52 = 1/13.
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I am taking a test rn and idk what to do for this one, someone help please.
Answer:
idk
Step-by-step explanation:
Answer (#2):
125 (degrees)
Step-by-step explanation:
<ATH= 180 - x
the sum of the degrees in a triangle is 180, so <ATH=180-43-82=55 (degrees)
x=180-55=43+82=125 (degrees)
Answer (#3):
x=11, <C=12 (degrees)
Step-by-step explanation:
(3x+28)+(5x+52)+(2x-10)=10x+70=180
x=110/10=11
There are two agents, each of whom declares independently a nonnegative real number as a bid to win a prige of 1 . The highest bidder gets the prize 1 , while they share it equally in case of a tie. BOTH agents paythe lowest bid. (2) Formulate the above scenario as a strategic form game g=(N,x,u). (6) Find the best response corraspondencas of the playeno aing. (c) Find all Nash equilibria of g.
The scenario described can be formulated as a strategic form game with two players. Each player independently declares a nonnegative real number as their bid to win a prize of 1. The highest bidder wins the prize, while in the case of a tie, the prize is shared equally between the players, and both players pay the lowest bid. The objective is for each player to maximize their utility. The best response correspondences and Nash equilibria of the game can be determined.
Let's denote the two players as Player 1 and Player 2. The strategic form game can be represented as follows:
N = {1, 2} (set of players)
x = {\(x_{1}\), \(x_{2}\)} (set of strategies)
u = {\(u_{1}\), \(u_{2}\)} (set of utility functions)
Each player has the strategy set \(x_{1}\)= \(x_{2}\) = [0, ∞), representing the nonnegative real numbers that they can bid.
The utility functions can be defined as follows:
\(u_{1}\)(\(x_{1}\), \(x_{2}\) ) = { (1/2) - \(x_{1}\), if \(x_{1}\)= \(x_{2}\) ,
1 - \(x_{1}\), if \(x_{1}\)> \(x_{2}\) }
\(u_{2}\)( \(x_{1}\), \(x_{2}\) ) = { (1/2) - \(x_{2}\) , if \(x_{1}\)= \(x_{2}\) ,
1 - \(x_{2}\) , if \(x_{1}\)< \(x_{2}\) }
The best response correspondences describe the strategies that are optimal for each player given the other player's strategy. In this case, the best response for Player 1 is to bid the highest possible value (\(x_{1}\) = ∞) if Player 2 bids 0, and bid 0 if Player 2 bids any positive value. Similarly, the best response for Player 2 is to bid the highest possible value ( \(x_{2}\) = ∞) if Player 1 bids 0, and bid 0 if Player 1 bids any positive value.
The Nash equilibria of the game occur when both players are playing their best responses. In this case, the Nash equilibria are (\(x_{1}\)=0, \(x_{2}\) =0) and (\(x_{1}\) = ∞, \(x_{2}\) = ∞). The first equilibrium represents both players bidding 0 and sharing the prize equally, while the second equilibrium represents both players bidding infinitely high values and neither winning the prize.
Therefore, the best response correspondences in this game are the strategies that maximize each player's utility given the other player's strategy, and the Nash equilibria occur when both players are playing their best responses.
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The graph shows that f(x)=[]* is translated
horizontally and vertically to get the function
x-h
(x) = (-²)* - " +
1(x)
+ k.
8Ix
7-
6-
-5-
4-3-2-11-
-2-
-3-
900
23
$67
What is the value of k?
O-5
-3
O 3
05
Answer:
Unfortunately, I cannot see the graph you are referring to, so it is difficult for me to determine the exact value of k. However, I can provide some general guidance on how to determine the value of k when a function is translated vertically.
If a function f(x) is translated vertically by a distance k, the new function g(x) would be given by:
g(x) = f(x) + k
In other words, to translate a function vertically, we add a constant to the function's output (y-value). So if the given function is:
f(x) = []*
and it is translated vertically to:
g(x) = (-²)* - " +1(x) + k
then the value of k would be the amount of the vertical translation. This would be the amount that the graph of g(x) is shifted up or down compared to the graph of f(x).
Without more information or context, I cannot determine the exact value of k, but hopefully this explanation helps you to understand how to approach this type of problem.
Step-by-step explanation:
The Value of k in function translation is 3.
To find the value of k, we need to look at the translation of the function. The + sign indicates a horizontal translation to the right, and the - indicates a vertical translation downward.
From the given graph, we can see that the translation is 1 unit to the right and 3 units downward.
Therefore, the value of k is 3.
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a group of students played a game in which they earned points for answering questions correctly. the following dotplot shows the total number of points earned by each student.
a) Approximately normal
b) Bimodal without a gap
c) Bimodel with a gap
d) Skewed to the right without a gap
e) Skewed to the right with a gap
Based on the description, it is not possible to provide a specific answer without a visual representation of the dot plot. However, I can explain each term and help you identify the correct answer once you examine the dot plot.
a) Approximately normal: The dot plot would resemble a bell curve, with most points centered around the mean and symmetrically distributed on both sides.
b) Bimodal without a gap: The dot plot would have two distinct peaks, but the points are continuous and do not have a gap between them.
c) Bimodal with a gap: The dot plot would have two distinct peaks, with a clear gap separating them.
d) Skewed to the right without a gap: The dot plot would have a longer tail on the right side, indicating higher values, with no gap in the data.
e) Skewed to the right with a gap: The dot plot would have a longer tail on the right side, indicating higher values, and a clear gap in the data.
To determine the correct answer, examine the dot plot and identify its shape based on the explanations provided above. Then, choose the option that best describes the dot plot.
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List the possible rational roots and actual rational roots for the equation x^3-2x^2+x+18=0
Answer: The possible rational roots are
± 1 , ±2 , ± 4 , ± 5 , ± 10 , ± 20 . The rational roots are x = − 2 , x = 2 , x = 5 .
Answer:
D on Edge
Step-by-step explanation:
Chloe swam "n" number of laps to raise money for her school. Friend a donated $20 + $1.25 for every lap Chloe swim friend B donated $15 +2 dollars and 50 Cent for every lap Chloe swim friends she donated $40 +1 dollar and 50 Cent for every lab Chloe sweat friend Dee donated $25 plus $1.75 for every lap Chloe‘s swim
Answer:
Chloe will earn $100 outright plus $7 dollars for every lap she swims for her school.
Step-by-step explanation:
If -13(q+4) is equal to 7q+16 what’s is q
Answer:
q = - 3.4
Step-by-step explanation:
- 13(q + 4) = 7q + 16 ← distribute parenthesis on left side
- 13q - 52 = 7q + 16 ( subtract 7q from both sides )
- 20q - 52 = 16 ( add 52 to both sides )
- 20q = 68 ( divide both sides by - 20 )
q = - 3.4
Determine another point on the parabola that has an axis of symmetry x = 4 and a point on the parabola is (0, 2), Another point on the parabola is
Given:
Axis of symmetry of a parabola is \(x=4\).
A point on the parabola is (0,2).
To find:
The another point on the parabola.
Solution:
The point (0,2) lies on the parabola and the axis of symmetry of a parabola is \(x=4\).
It means, the another point on the parabola is the mirror image of (0,2) across the line \(x=4\) because the parabola is symmetric about the axis of symmetry.
If the point is reflected across the line \(x=4\), then
\((x,y)\to (-(x-4)+4,y)\)
\((x,y)\to (-x+4+4,y)\)
\((x,y)\to (-x+8,y)\)
Using this rule, we get
\((0,2)\to (-0+8,2)\)
\((0,2)\to (8,2)\)
Therefore, the other point on the parabola is (8,2).
What is the probability of rolling a “7" on a fair 6-sided die and flipping a tails on a
fair coin?
0 because there is no 7 on a fair 6-sided die
Answer:
The probability of rolling a "7" on a fair 6-sided die is 0/6 or 0% because there is no value of 7 to be rolled on such a die. The probability of flipping a tails on a fair coin is 1/2 or 50% because there are only two sides to a coin and tails is one of those sides.
Help me pls thanks so much
Answer: The angle is 35 is specifically 34.85
Step-by-step explanation:
\(sin^{-1}\)(\(\frac{8}{14}\))=34.85