Describe the four characteristics of association Outliers: Shape: Strength: Direction: What does it mean in this situation?

We need to use the formal definition of a limit, The definition is:

Let be L be a real number. Then:

if, for every ε > 0, there exists a δ > 0 such that if 0 < |x - a| < δ, then |f(x) - L| < ε

In this case, we need to prove:

Then, we need to find a relationship between ε and δ, so for any value of ε> 0 we can find a value of δ.

We know that, for a given ε > 0, |(5x -7) - 3| < ε, and 0 < |x - 2| < δ

Then:

Now we can divide each side by 5.

We are now really close from relate the ε and δ.

We can use the triangle inequality:

Then, we can add and subtract 1 inside the absolute value:

We have:

By the triangle inequality:

And since the absolute value of any number is bigger or equal than 0:

And we have:

And since ε > 0, ε/5 > 0, we can define:

And we have proven that:

For a given ε > 0, exists δ = ε/5 such that, if 0 < |x - 2| < δ = ε/5, then |f(x) - L| < ε

Answer:

the possible outcomes contain the same number of heads and tails are 70.

tell me if i am right

For each coin flip, there are 2 possible outcomes (heads or tails), so for 8 flips, there are \(2^8\) = 256 possible outcomes.

When flipping a coin, there are two possible outcomes: heads or tails. So, for one flip, there are two possibilities. For two flips, there are two possibilities for the first flip and two possibilities for the second flip, making a total of 2x2=4 possible outcomes.

For three flips, there are two possibilities for the first flip, two for the second flip, and two for the third flip, making a total of 2x2x2=8 possible outcomes.

Similarly, for four flips, there are 2x2x2x2=16 possible outcomes, and for five flips, there are 2x2x2x2x2=32 possible outcomes.

Continuing this pattern, for eight flips, there are 2x2x2x2x2x2x2x2 = 256 possible outcomes.

This can also be calculated using the formula for combinations, which is \(n! / (r!(n-r)!)\) where n is the number of total flips (in this case, 8) and r is the number of heads that we want to get.

For example, to find the number of outcomes where we get exactly 3 heads and 5 tails, we would use the formula:

\(8! / (3!5!) = 56\)

So, there are 56 possible outcomes where we get exactly 3 heads and 5 tails.

In summary, for each coin flip, there are 2 possible outcomes (heads or tails), so for 8 flips, there are \(2^8 = 256\) possible outcomes.

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Answer:

It’s undefined

Step-by-step explanation

there is no change in y

The Principle of Inclusion and Exclusion is a counting principle used in combinatorics to calculate the size of the union of multiple sets. It helps to determine the number of elements that belong to at least one of the sets when dealing with overlapping or intersecting sets.

The principle states that if we want to count the number of elements in the union of multiple sets, we should add the sizes of individual sets and then subtract the sizes of their intersections to avoid double-counting. Mathematically, it can be expressed as:

\(|A \cup B \cup C| = |A| + |B| + |C| - |A \cap B| - |A \cap C| - |B \cap C| + |A \cap B \cap C|\)

This principle is used in various areas of mathematics, including combinatorics and probability theory. It allows us to efficiently calculate the size of complex sets or events by breaking them down into simpler components.

For example, let's consider a group of students who study different subjects: Math, Science, and English. We want to count the number of students who study at least one of these subjects. Suppose there are 20 students who study Math, 25 students who study Science, 15 students who study English, 10 students who study both Math and Science, 8 students who study both Math and English, and 5 students who study both Science and English.

Using the Principle of Inclusion and Exclusion, we can calculate the total number of students who study at least one subject:

\(\(|Math \cup Science \cup English| = |Math| + |Science| + |English| - |Math \cap Science| - |Math \cap English| - |Science \cap English| + |Math \cap Science \cap English|\)\)

\(= 20 + 25 + 15 - 10 - 8 - 5 + 0\\= 37\)

Therefore, there are 37 students who study at least one of the three subjects.

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Answer:

1500 x 0.75

1125

Step-by-step explanation:

Please give me brainliest

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

\(\stackrel{f(x)}{y}~~ = ~~2x^2+4x\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~2y^2+4y} \\\\\\ x=2(y^2+2y)\implies \cfrac{x}{2}=y^2+2y\impliedby \begin{array}{llll} \textit{now let's complete the square}\\ \textit{to make it a perfect square trinomial}\\ \textit{by using our good friend, Mr "0"} \end{array} \\\\\\ \cfrac{x}{2}=y^2+2y(+1^2-1^2)\implies \cfrac{x}{2}=y^2+2y+1-1\implies \cfrac{x}{2}=(y^2+2y+1)-1\)

\(\cfrac{x}{2}+1=(y^2+2y+1^2)\implies \cfrac{x}{2}+1=(y+1)^2\implies \sqrt{\cfrac{x}{2}+1}=y+1 \\\\\\ \sqrt{\cfrac{x+2}{2}}=y+1\implies \sqrt{\cfrac{x+2}{2}}-1=y~~ = ~~f^{-1}(x)\)

E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.

Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.

Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.


When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.

To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.

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Answer:

She will be paid $684

Answer:

6

Step-by-step explanation:

20 x 0.3 = 6

Answer:

The answer is 150%

Step-by-step explanation:

Answer:

(x+5)-(2x-3)

or simplified

8-x or -x+8

Answer:1 and 3 both are 114 angle and 2 and 4 are 66

Step-by-step explanation:

so l and 3 are the same proportion which means there angle is the same and since angles add up to 360 you do 360-114-114 and you get 132 but since you still have the other 2 sides that need angles applied you divided 132/ 2 and u get 66

Answer:

angle 3 =114

angle 1= 66

angle 4 = 66

Answer:

Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.

In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.

Step-by-step explanation:

Answer:

a = 57.5

b = 57.5

Step-by-step explanation:

XY=XZ so c=d

\(c = d = \frac{180 - 65}{2} = 57.5\)

Now draw the XH

So angle YXH = 180 — 90 — 57.5 = 32.5

a+YXH=90

a+32.5=90

so a = 57.5

We know that a + 65 + b = 180

So 57.5 + 65 + b = 180

b = 180 — 122.5

b = 57.5

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

\( \fbox \colorbox{black}{ \colorbox{white}{a} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{57.5 \degree}}\)

\(\fbox \colorbox{black}{ \colorbox{white}{b} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{57.5 \degree}}\)

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

From the above diagram we can conclude that ~

Angle c = Angle a (Alternate interior Angle pair)

Angle d = Angle b (Alternate interior Angle pair)

and,

because their opposite sides are equal.

now, according to linear pair property ~

replacing Angle a with Angle c and Angle d with Angle b, because they are equal to one another ~

(because Angle c = Angle d)

So,

Answer:

\(3 {x}^{4} 4yz\)

=> Tᕼᗴ ᗪᗴᘜᖇᗴᗴ Oᖴ Tᕼᗴ ᑭOᒪYᑎOᗰIᗩᒪ IՏ 4

To solve this problem, we can use the Poisson distribution, which models the number of events that occur in a fixed period of time, given the average rate of occurrence.

a. To find the probability that at most 425 people are struck by lightning in a year, we can use the Poisson distribution with a mean of 400. The formula for the Poisson distribution is:
P(X ≤ k) = e^-λ ∑_(i=0)^k (λ^i/i!)
where X is the random variable (the number of people struck by lightning in a year), λ is the mean (400), and k is the maximum number of people we're interested in (425). Plugging in the values, we get:
P(X ≤ 425) = e^-400 ∑_(i=0)^425 (400^i/i!) = 0.8855
So the probability that at most 425 people are struck by lightning in a year is 0.8855, or about 88.55%.
b. To find the probability that at least 375 people are struck by lightning in a year, we can use the complement rule: the probability of an event happening is 1 minus the probability of the event not happening. So in this case, we want to find the probability that fewer than 375 people are struck by lightning, and subtract that from 1 to get the probability of at least 375 people being struck.
P(X ≥ 375) = 1 - P(X < 375) = 1 - e^-400 ∑_(i=0)^374 (400^i/i!) = 0.9369
So the probability that at least 375 people are struck by lightning in a year is 0.9369, or about 93.69%.
It's important to note that these probabilities are based on the assumption that the number of people struck by lightning in a year follows a Poisson distribution with a mean of 400. This may not be a perfect model, but it's a reasonable approximation based on the available data. Additionally, the chances of being struck by lightning are still relatively low - even at the high end of our estimates, only about 0.1% of the US population would be affected.

Based on the given information of 400 people being struck by lightning in the United States on average each year, we can calculate the probabilities for the scenarios you mentioned.
a. The probability that at most 425 people are struck by lightning in a year:
To calculate this, we'll need to know the distribution of people being struck by lightning, which isn't provided. However, let's assume it follows a normal distribution with a mean of 400 and some standard deviation. In this case, we would calculate the z-score for 425 people and find the corresponding probability from the z-table. Unfortunately, without the standard deviation, we cannot compute the exact probability.
b. The probability that at least 375 people are struck by lightning in a year:
Similarly, to calculate this probability, we'd need the standard deviation to find the z-score for 375 people and then find the corresponding probability from the z-table. Again, without the standard deviation, we cannot compute the exact probability.
In conclusion, without knowing the standard deviation or the distribution of people being struck by lightning, we cannot provide a precise probability for the given scenarios.

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Answer:

Step-by-step explanation:

-15 + (-2) = -17

Answer: -17

There were 1.4 pounds of honey in each jar.

Since unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that Jasmine extracted 5.6 pounds of honey from a beehive. She divided the honey evenly into 4 jars.

Thus, divided 5.6/4

In each jar there would be; 1.4 pounds.

Now multiplying 1.4 by 4

1.4/4 =  5.6.

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Answer:

515.5

Step-by-step explanation:

tell me if I helped

Answerr

Step-by-step explanation:

3150

Answer:

1st option:  55 + 19.50m = 250

Step-by-step explanation:

Answer:

the correct answer is D 175

Answer: 65005.037

Step-by-step explanation:

I=?

P=6,500

R=037

T=5 years

 I=  6,500+037+5= 65005.037

Glen drank a fraction of 2 bottles and one-half bottles of water.

A fraction is a numerical value that is not a whole number. Fraction is used to represent a part of whole or in some cases the number of equal parts of a whole.

To answer this question, we must understand that in carrying out basic mathematics operation with mixed fraction, we must first convert it to an improper fraction.

In the morning, Glen drank [1(8÷12)] bottles of water, which when converted to an improper fraction gives us (5÷3) bottles

While in the afternoon, he drank (5÷6) bottles

Adding up the fractions [(5/3)+(5/6)] bottles of water drank in the morning and afternoon respectively, we have;

[(5/3)+(5/6)]= [(10+5)÷6]

[(5/3)+(5/6)]=15÷6

[(5/3)+(5/6)]=5÷2

[(5/3)+(5/6)]=[2(1÷2)] (reversing the improper fracion to a mixed fraction).

Hence,we can say that Glen drank 2 bottles and a fraction of one-half bottles of water.

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Answer:

(5,7) , (2, -3) , (2,4)

Step-by-step explanation:

your first number, the x, is the horizontal number. The second, y, is the vertical number. So if you look at A, the x is 5, and you then have to go up to 7 to reach the intercept

Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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entered :

-|3x-9|+2=-4

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

-|3x-9|+2 = -4

Another term is moved / added to the right hand side.

To make the absolute value term positive, both sides are multiplied by (-1).

|3x-9| = 6

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |3x-9|

For the Negative case we'll use -(3x-9)

For the Positive case we'll use (3x-9)

STEP

3

:

Solve the Negative Case

-(3x-9) = 6

Multiply

-3x+9 = 6

Rearrange and Add up

-3x = -3

Divide both sides by 3

-x = -1

Multiply both sides by (-1)

x = 1

Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

(3x-9) = 6

Rearrange and Add up

3x = 15

Divide both sides by 3

x = 5

Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=1

x=5

I hope this help you

Answer: x= 1, 5

Step-by-step explanation:

First, isolate the absolute value. Subtract two from the equation to get -l3x-9l=-6, and then divide by -1 to get l3x-9l=6.

Since an absolute value measures how far away a value is from zero, it's always positive. For example, -10 and 10 have the same absolute value, 10, because they're both 10 units away from zero.

Because of this, you create two equations; 3x-9=6, and 3x-9=-6.

For the first equation, add 9 to 6 and divide that by 3 to get x=5.

For the second equation, add 9 to -6 and divide that by 5 to get x=1.

The probability that all adjacent points differ in color is given as follows:

1/10. (second option).

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the total outcomes, we have an arrangement of 6 elements, due to the six points, with 3 and 3 repetitions, as 3 are green and 3 are red, hence the number of total outcomes is calculated as follows:

\(T = A_6^{3,3} = \frac{6!}{3!3!} = 20\)

For the desired outcomes, there are two, given as follows:

This means that the probability that all adjacent points differ in color is calculated as follows:

p = 2/20 = 1/10.

Hence the second option is the correct option.

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