a statistical measure of the strength of a linear relationship between two metric variables is called the

The proof starts by assuming n is a composite integer and proceeds to show that there must exist a prime divisor of n that is less than or equal to √n by contradiction.

To produce a proof that if n is a composite integer, then n has a prime divisor less than or equal to √n, the steps should be arranged in the following order:

Assume n is a composite integer.

Express n as a product of its prime factors.

Suppose all prime factors of n are greater than √n.

Take the product of all prime factors of n.

The product obtained in step 4 is greater than n.

This contradicts the fact that n is a composite integer.

Therefore, the assumption made in step 3 is false.

There must exist at least one prime factor of n that is less than or equal to √n.

Hence, if n is a composite integer, then n has a prime divisor less than or equal to √n.


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The correct statement is: E. All of the above are incorrect.

Statement A is incorrect because the basic standard deduction for 2021 is $12,550 for single filers, not $15,350.

Statement B is incorrect because the gross income threshold for filing a separate tax return (MFS) in 2021 is $5, as opposed to the basic standard deduction for MFS.

Statement C is incorrect because a non-refundable tax credit directly reduces the amount of tax owed, whereas a deduction for AGI reduces taxable income before calculating the tax liability. Therefore, a non-refundable tax credit is generally more valuable than a deduction for AGI.

Statement D is incorrect because a greater deduction from AGI does not necessarily lead to a greater deduction for AGI. Deductions from AGI reduce taxable income, while deductions for AGI are claimed before calculating AGI.

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Answer:

-1/4

Step-by-step explanation:

Simply draw a slope triangle

Answer:

its -1/4 which is the third option

Step-by-step explanation:

negative because it's going down, 1/4 because every four blocks to the right it goes down by only one block

\( \frac{6}{2k - 6} = 3 \\ \\ \longrightarrow \: 6 = 6k - 18 \\ \\\longrightarrow \: 6k = 18 + 6 \\ \\\longrightarrow \: 6k = 24 \\ \\ dividing \: both \: sides \: by \: 6 \: , \\ \\\longrightarrow \: \cancel \frac{6k}{6} = \cancel \frac{24}{6} \\ \\ \longrightarrow \: \boxed{k = 4}\)

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Alma was definitely correct to say that the tickets are $14 each.

The total amount in dollars the class have for tickets to the science museum

is $140.

The teacher writes as follows:

Alma says the tickets are $14 each.

Mohammed says that 14 students are going for the trip

The teacher divided 140 by 10. This means the number of student in the class is 10 not 14 as Mohammed enunciated.

The teacher divided the total amount available for the ticket($140) by the number of student in the class(10). Then the quotient ($14) is the amount in dollars which each student will pay for the ticket to the science museum.

Therefore, Alma was definitely correct.

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solution

in a right angle triangle all angles are = 90

but since they did not give us any angle, we should know that the two angle that will make up 90 will be 45

so it will be = tan 45 = a

15

15tan45 = a

a = 15

so now x^2 = 15^2 + 6^2

x^2 = 225 + 36

x^2 = 261

x = 16.2

The missing values are:

BC = 25, BN = 16, NC = 9, and AN = 12

Given:

AB = 20

AC = 15

Using the Pythagorean theorem in triangle ABC:

CB = √AC² + AB²

CB= √20² + 15²

CB= √625

CB= 25

Since, AN is altitude we have ΔNBA~ΔABC and ΔNAC~ΔABC

BN / AN = BA / CB

BN/ 20= 20/25

BN = 16

and, AN / BA = AC / CB

AN /20 = 15/ 25

AN = 12

Now, CN=  CB - BN

CN = 25- 16

CN= 9

BC^2 = 20^2 + 15^2

BC^2 = 400 + 225

Since ΔANC is a right triangle so

AN = √15²-12²

AN = √81

AN = 9

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Answer:

Solution of the system will be (-3, 6).

Step-by-step explanation:

If a system of linear equations have been given in the question then we can find the solution of the linear equations by solving these equation algebraically.

But when a graph of the system of equation have been given solution of the system is the point of intersections Or common points lying on both the lines.

From the given graph,

Coordinates of the common point of both the lines is (-3, 6).

Therefore, solution of the system will be (-3, 6).

Answer:  (-3, 6)

Step-by-step explanation:

you can see where the lines met

Answer:

use calculator soup. com

Step-by-step explanation:

this will help u

Answer:

t = 39

Step-by-step explanation:

the diagonals of a parallelogram bisect each other, therefore t = 3t - 78 further solving this equation we get

2t = 78 and then t = 39

Answer:

both y --> -∞

Step-by-step explanation:

1. x--> -∞

=> x-1 --> -∞

=> |x-1| --> ∞

=> - |x-1| --> -∞

=> y --> -∞

2. x --> ∞

=> x-1 --> ∞

=> |x-1| --> ∞

=> -|x-1| --> -∞

=> y --> -∞

To get to system B the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 4. The solution to system B is the same as the solution to system A.

To get system B:

First write the first equation in system A. x - y = 3

Multiply the second equation in system A by 4 and add to the first equation in system A to get:

2x = 10

x = 10/2 = 5

Put x = 5 in x - y = 3

5 - y = 3

y = 5 - 3 =2

The solution to system B is the same as that of system A

To get to system B the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 4. The solution to system B is the same as the solution to system A.

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Complete question is;

A system of equations and it’s solution are given below.

System A.

x-y=3

-2x+4y=-2

Solution: (5,2)

Complete the sentences to explain what steps were followed to option the system of equations below.

System B

x-y=3

2x=10

To get to system B the (first/second) equation in system A was replaced by the sum of that equation and the (first/second) equation multiplied by (4....2.....-3) . The solution to system B (is/ is not) the same as the solution to system A.

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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Answer:

a=30 b=60 c=90

Step-by-step explanation:

you replace b with 2a and c with 3a and you get

a+2a+3a=180

6a=180

a=30

from here you replace a with 30 and find b and c

b=2a=2*30=60

c=3a=3*30=90

Answer:

The correct answer is: "Product Review"

Step-by-step explanation:

A product is the outcome of a process or a well-organized algorithm. Product is the final result.

A product review is a report that is made on the product usually explaining the strengths and weaknesses of a particular product.

Hence,

The correct answer is: "Product Review"

Answer:

Step-by-step explanation:

Consumer Report

The composite function N(T(t)) = 20082.The time when the bacteria count reaches 20082 is approximately 30.28 hours.

To find the composite function N(T(t)), we need to substitute the expression for T(t) into the function N(T).

Given:

N(T) = 307² - 112T + 75

T(t) = 3t + 1.7

Substituting T(t) into N(T), we get:

N(T(t)) = 307² - 112(3t + 1.7) + 75

Simplifying:

N(T(t)) = 307² - 336t - 190.4 + 75

N(T(t)) = 307² - 336t - 115.4

Now let's find the time when the bacteria count reaches 20082.

N(T(t)) = 20082

307² - 336t - 115.4 = 20082

Taking 115.4 to the other side:

\(307^2\) - 336t = 20082 + 115.4

307² - 336t = 20197.4

336t = 307² - 20197.4

Dividing by 336:

t = (307² - 20197.4) / 336

Calculating the value of t:

t ≈ 30.28

Therefore, the time when the bacteria count reaches 20082 is approximately 30.28 hours.

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\(\\ \sf\longmapsto \dfrac{x}{5}=\dfrac{16}{21}\)

\(\\ \sf\longmapsto 21x=16(5)\)

\(\\ \sf\longmapsto 21x=80\)

\(\\ \sf\longmapsto x=\dfrac{80}{21}\)

\(\\ \sf\longmapsto x=3.6\)

Step-by-step explanation:

\( \frac{x}{5} = \frac{16}{21} \\ by \: cross \: multiplication \\ x \times 21 = 5 \times 16 \\ 21x = 80 \\ x = \frac{80}{21} \\ x = 3.8\)

The average payment will be $611.64.

It should be noted that average means mean. This implies that we will add the numbers and then divide.

This will be:

= ($23.42 + $14.95 + $276.50 + $219.93 + $76.84) / 5.

= $611.64

Therefore, the average payment will be $611.64.

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Answer:

All these added amount to $611.64, yes.

However, to find average, you then divide by 6.

Which equals; $101.94.

That is the average payment.

Step-by-step explanation:

Hope it helps.

Answer:

Calculating the Actual Distance using the Scale

If the scale is 1 : x, then multiply the map distance by x to calculate the actual distance.

Step-by-step explanation:

Answer:

The y intercept is -21

Step-by-step explanation:

y = (x - 3)(x + 7)

To find the y intercept, set x =0 and solve for y

y = (0-3) (x+7)

y = -3*7

y = -21

The y intercept is -21

Answer:

Step-by-step explanation:

For any function, its y-intercept will be the y value when x = 0.

You can simply plug in 0 for x in the function:

y = (0-3)(0+7)

  = (-3)(7)

  = -21

Therefore, the y-intercept of this parabola is -21.

Answer:

They are moving 2 m/s

Step-by-step explanation:

the answer is in the format m/s or meters per second. so in this case, just divide the seconds by the meters

The person's speed is 0.5 m/s if a person walking covers 5.20 m in 10.4 s.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

A person walking covers 5.20 m in 10.4 s

As we know,

The distance-time  relation:

u = d/t

Here, u is the speed of a walking person

d is the distance covered

t is the time

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

d = 5.20 meters

t = 10.4 seconds

u = 5.20/10.4

u = 0.5 m/s

Thus, the person's speed is 0.5 m/s if a person walking covers 5.20 m in 10.4 s.

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One of Pryor's 10 Laws of shaping is D. Train one behavior at a time is one of Pryor's 10 Laws of shaping. This law emphasizes the importance of focusing on one behavior at a time when shaping behavior.

By doing so, the trainer can avoid confusing the animal and can more effectively reinforce the desired behavior. This law also helps the trainer to break down complex behaviors into smaller, more manageable parts, which can then be shaped individually.

According to Karen Pryor's 10 Laws of Shaping, one of the key principles is to train one behavior at a time. This is important because it helps the learner to focus on mastering a specific behavior without getting overwhelmed or confused by multiple tasks.

By concentrating on one behavior at a time, the trainer can provide clear, consistent reinforcement and feedback, which increases the likelihood of successfully shaping the desired behavior.

Overall, following this law can lead to more successful shaping and training outcomes.

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Among the provided options, Pryor's 10 Laws of Shaping suggests training one behavior at a time. This technique avoids confusion and ensures reliable behavior is established before moving to the next behavior.

According to Pryor's 10 Laws of Shaping, among the given options, the correct answer is: Train one behavior at a time. This rule focuses on the fact that trying to shape multiple behaviors simultaneously can often lead to confusion for the individual or animal being trained. Instead, it's more effective to focus on one behavior at a time, reinforcing each successful approximation towards the target behavior before moving on to the next. The goal is to build a strong, reliable behavior before adding complexity or new behaviors.

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Answer:

The slope is 4/5

Step-by-step explanation:

m = rise/run

(-3,1) and (2,-3)

4/5

m = 4/5

Answer:25

Step-by-step explanation:

No, lecture notes collected during a bachelor degree study are not a type of date. Lecture notes are a collection of the notes taken by a student during the lectures in the course of their bachelor degree study.

They are not the same as dates, which are the specified days on which something happens or is planned to happen. Lecture notes are usually written in the form of summaries of a lecture, which are usually made up of the important points that the student has noted down during the lecture.

They may also include diagrams, equations, and other visual aids that the student has used to illustrate the material covered. Lecture notes are not the same as dates, as they are not related to any specified days. They are simply summaries of the lecture topics discussed by the professor in the course of the student’s bachelor degree study.

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Answer:

146 didn't vote

Step-by-step explanation:

With this situation, start from the vote for all 4, then move onto the vote of 3 out of 4, then the vote of 2 of the 4 and lastly deal with with the vote of 1 out of the 4;

I've tabulated it in the attached excel document;

First, there are 50 votes for A, B, C and D;

Then there are 100 votes for B, C and D;

Now, the 50 who voted for all 4 are included in the 100 for B, C and D because someone who votes for A, B, C and D has voted for B, C and D;

This means we need to deduct 50 from 100 to get 50, which is the number of voters who voted for B, C and D, but not A;

This is done for all the options where students voted for 3 of the 4;

For those who voted C and D, there are 250, but this will include the 50 who voted A, C and D, the 50 who voted B, C and D and the 50 who voted A, B, C and D;

So, we have to subtract 3×50 (= 150) from 250 to get 100 as is shown in the table;

The table is quite helpful as it shows clearly who will be included in the numbers given in the question info;

We do the same for all those who vote for 2 of the 4;

For those who voted just D, we need to add the votes of all those who voted for D and anyone else, which is 500, and subtract this from the total number of votes for D, which is 1000;

And similarly, we do the same for A, B and C as well;

Now, we can sum all the votes, which gives 2850 and subtract this from the total number of voters, which is 2996 (remember we have to exclude the 4 band members as they can't vote);

This gives us:

2996 - 2850 = 146

The circulation of the field F around the closed curve C is 0.

The circulation of the field F around the closed curve C is 0. This means that the line integral of the field F along the curve C is equal to zero. The circulation represents the total flow or rotation of the vector field around the closed curve.

To calculate the circulation, we need to evaluate the line integral of the field F along the curve C. Given that the curve C is parameterized as r(t) = 7 cos(t)i + 7 sin(t)j, where t ranges from 0 to 2π, we can substitute this into the expression for F.

F = -6/7x2y i -6/7xy2 j

Now, we calculate the line integral ∮ F · dr, where dr is the differential arc length along the curve C.

∮ F · dr = ∫[0 to 2π] (-6/7x2y dx - 6/7xy2 dy)

To evaluate this integral, we can use Green's theorem, which states that the line integral of a vector field around a closed curve is equal to the double integral of the curl of the vector field over the region enclosed by the curve. Since the curl of F is zero, the circulation is also zero.

Therefore, the circulation of the field F around the closed curve C is 0.

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