x → 6. Find 2 numbers whose difference is 152 and whose product is a minimum. (Write out the solution) ( 10pts) ri: 6 Lot

it would be beneficial to analyze other variables such as gender and opinion on the topic for a more comprehensive understanding of the local political opinion.

If the standard deviation of the ages is zero, then all individuals in the sample must have the same age of 25 years old. This means that the sample is not diverse and may not be representative of the entire neighborhood's opinion on the political topic. Therefore, conclusions drawn from this sample may not accurately reflect the opinions of the entire population. It is important to ensure that the sample is diverse and representative to make valid conclusions about a sensitive political topic.
Based on the data you collected, which includes age, gender, and opinion on the local sensitive political topic, you calculated the average age to be 25 years old and the standard deviation of the ages to be zero years old. This means that all individuals in your neighborhood are exactly 25 years old. Since there is no variation in age, it would be beneficial to analyze other variables such as gender and opinion on the topic for a more comprehensive understanding of the local political opinion.

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Answer:

fgfhgt68t77

Step-by-step explanation:

6ghdty7tfyu

We can conclude that both probabilities in parts (a) and (b) are approximately 0.95, regardless of the sample size.

Assuming that the population is normally distributed with a mean of 100 and a standard deviation of 15, we can use the central limit theorem to approximate the sampling distribution of the sample means as normal, regardless of the sample size.

Since we're interested in the probability that the sample mean falls within a certain range, we can standardize the sampling distribution of the sample means using the formula:

z = (\(\bar X\) - μ) / (σ / √n)

where \(\bar X\) is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

For both parts (a) and (b), we want to find P(90 < \(\bar X\) < 110), which we can rewrite as P((90 - 100) / (15 / √n) < (\(\bar X\) - 100) / (15 / √n) < (110 - 100) / (15 / √n)).

Simplifying this expression, we get P(-2√n < z < 2√n), where z is a standard normal random variable.

The probability that a standard normal random variable falls within ±2 standard deviations of the mean is approximately 0.95. Therefore, we can conclude that both probabilities in parts (a) and (b) are approximately 0.95, regardless of the sample size.

This is because the sample size n only affects the standard deviation of the sampling distribution of the sample means (i.e., σ / √n), but not its shape or center. Therefore, the probability that the sample mean falls within a certain range is largely determined by the width of that range relative to the standard deviation of the sampling distribution, which is approximately constant regardless of the sample size.

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Answer:

220%,2.2,√5,2.25

Step-by-step explanation:

220%=2.2

√5=2.23

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

The sum of the interior angle measures of the given polygon , given that it is a convex polygon is 540 °

The polygon given is a convex polygon , and has 5 sides . This means that it is a Pentagon .

Each interior angle in a regular convex pentagon, measures 108 ° . This means that the sum of the interior angle measures is therefore :
= Measure of interior angles x Number of angles in Pentagon

= 108 x 5

= 540 °

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Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.

To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.

To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:

168 = 1 * 120 + 48

120 = 2 * 48 + 24

48 = 2 * 24 + 0

Therefore, the GCD of 120 and 168 is 24.

Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0

Therefore, the GCD of 120, 168, and 192 is 24.

So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:

Total number of items = 120 + 168 + 192 = 480

Number of bags = 480 / 24 = 20

Therefore, Thomas can get a maximum of 20 bags.

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Answer:

AB = 4

Step-by-step explanation:

Since the line is horizontal then its length is the difference of the x- coordinates, that is

AB = | 8 - 4 | = 4 , or

AB = | 4 - 8 | = | - 4 | = 4

Answer:

Option C

Step-by-step explanation:

Circumference of a circle is:

\(C=2\pi r\)

r - radius

We are given the radius of 3 inches.

\(C=2\pi r\\\\C=2(3)\pi \\\\C=\boxed{6\pi }\)

Option C should be the correct answer.

Hope this helps!

Answer:

The numbers are 36 and 68.

Step-by-step explanation:

Let the smaller number be x.

"The larger number is four less than two times the smaller

number."

The larger number is

2x - 4

The sum of the numbers is x + 2x - 4, or 3x - 4.

"The sum of the numbers is 104."

3x - 4 = 104

3x = 108

x = 36

The smaller number is 36.

The larger number is 2x - 4, or

2x - 4 = 2(36) - 4 = 72 - 4 = 68

The larger number is 68.

Answer: The numbers are 36 and 68.

Answer:

4/5+14%15

4×3/5+14×1/15

12+14/15

26/15

(26/5)/2

13/15

Answer:ay

Step-by-step explanation:

yaaaaaaaaaaaaaaaaaaaaaaaaaa

The value of the variable f as given in the task content is; f = -70.

It follows from the task content as indicates above that the equation given in terms of the variable f can be solved as follows;

f/-7 -8 = 2.

f/-7 = 2+ 8

f/-7 = 10

Hence, f = -70.

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A basis for the subspace is given by the three vectors consisting of all vectors of the form [x1, -2x1+x2, -9x1+4x2, -5x1-7x2]:

[1, 0, 0, -5], [0, 1, 4, -7], and [0, 0, 0, 1].

To find a basis for the given subspace, we need to determine the linearly independent vectors that span the subspace.

Let's rewrite the given vector as a linear combination of the standard basis vectors in R4:

[x1, -2x1+x2, -9x1+4x2, -5x1-7x2] = x1[1, 0, 0, -5] + x2[0, 1, 4, -7] + 0[0, 0, 0, 1]

Thus, the subspace is spanned by the vectors [1, 0, 0, -5], [0, 1, 4, -7], and [0, 0, 0, 1].

To check for linear independence, we can set up the following augmented matrix and row reduction:

[ 1 0 0 | 0 ]

[ 0 1 4 | 0 ]

[ 0 -2 -9 | 0 ]

[-5 -7 0 | 0 ]

Using row operations, we can reduce this to:

[ 1 0 0 | 0 ]

[ 0 1 0 | 0 ]

[ 0 0 1 | 0 ]

[ 0 0 0 | 0 ]

Since the only solution is the trivial solution, the vectors are linearly independent.

Therefore, a basis for the subspace is given by the three vectors:

[1, 0, 0, -5], [0, 1, 4, -7], and [0, 0, 0, 1].

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In the ne 1/4 of the sw 1/4 of the nw 1/4 of a section contains 10 acres.

The acres can be calculate as follows:

we know that  ne 1/4 of the sw 1/4 of the nw 1/4 of a section

so we can calculate the acre by multliplying them the section to the acre

As we are aware, each Section is one square mile and has 640 acres.

so the equation will be

1/4)(1/4)(1/4) x 640 acres = 10 acres

Therefore, 10 acres are contained in the ne 1/4 of the sw 1/4 of the nw 1/4 of a section.

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Answer:

B

Step-by-step explanation:

The dilation of 2.5 about the origin is C.) F'(-5,-2.5), G'(-2.5,5), H'(5,-5).

What is dilation?

Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.

Now from the given graph coordinates of F,G and H are,

F(-2,-1)

G(-1,2)

H(2,-2)

The coordinate points F(-2,-1), G(-1,2) and H(2,-2) it dilated by a factor of 2.5, we will multiply the coordinates by 2.5 to have:

F'(-5,-2.5), G'(-2.5,5), H'(5,-5).

Thus, the dilation of 2.5 about the origin is C.) F'(-5,-2.5), G'(-2.5,5), H'(5,-5).

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Answer: 13, 21, 34...

Step-by-step explanation: 1+2 = 3, 2+3 = 5, 3+5 = 8, 5+8 = 13, 8=13 = 21, etc.

An effective leader is able to balance and integrate both relationship-building and task-oriented aspects of leadership.

Effective leaders recognize that leadership is not solely about achieving tasks and goals; it also involves building and maintaining strong relationships with their team members.

They understand that establishing positive relationships is crucial for fostering trust, collaboration, and engagement within the team.

By prioritizing relationships, effective leaders create a supportive and inclusive work environment where individuals feel valued, heard, and motivated to contribute their best.

At the same time, effective leaders also understand the importance of accomplishing tasks and achieving organizational goals.

They possess the ability to set clear objectives, delegate responsibilities, and monitor progress to ensure that tasks are completed efficiently and effectively.

They are skilled at organizing resources, making decisions, and providing guidance to their team members, all while maintaining a focus on the desired outcomes.

The key to being an effective leader lies in the ability to balance and integrate both relationship-building and task-oriented aspects of leadership.

This means recognizing that strong relationships contribute to improved teamwork, communication, and employee satisfaction, which in turn enhance overall performance and productivity.

By acknowledging and valuing both dimensions, effective leaders create a harmonious work environment that fosters growth, success, and the well-being of both individuals and the organization as a whole.

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Answer:

The answer is C

Step-by-step explanation:

Answer:C

Step-by-step explanation:

got it right on edge2022

The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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Answer: Your shape would change size and their points would change to (3, -2)

Step-by-step explanation:

All your doing is decreasing it's  size pretty much if it's 1/2, 1/3 or anything low involving halfs the size and shape itself becomes smaller if its 2 itself or any other number it becomes bigger. hope that helps!

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

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Answer:

Because it is theoretical probability you have to actually perform the activity. :/

Step-by-step explanation:

Answer:

This answer assumes that the first equation is meant to read:

2x + y +3z = 12, and not

1.22x+y+3:= 12

Spoiler Alert:  x = 1, y=4, and z=2

Step-by-step explanation:

1.    2x + y +3z = 12

2.     x - 2y + z = -5

3.    5x - y+ 2z = 5

==============

Use equations 2 and 3 to eliminate z:

2.  x - 2y + z= -5

3.  5x - y+ 2z = 5

-2(x - 2y + z) = -2(-5)   [Multiply equation 2 by -2]

             5x -   y+  2z =  5

Now subtract this new equation from equation 3:

-2x + 4y - 2z = 10  (Eq 3)

 5x -   y+  2z =  5   [

 3x +3y = 15   [Equation A]

=================

Use equations 1 and 2 to eliminate z:

   2x +  y +3z = 12   (Eq. 1)

      x - 2y +  z = -5   (Eq. 2)

   2x +  y +3z = 12

(-3)(x - 2y +  z = -5)  [Multiply Eq. 2 by (-3)]

    -3x + 6y -3z = 15

Now add the resulting two equations.

   2x +   y + 3z = 12     (Eq. 1)

  -3x + 6y -3z =  15       (Eq,2 times -3)

   -x   +7y         = 27    [Equation B]

=============

  Eliminate x with the 2 resulting equations (from above)

  3x +3y = 15  [Equation A]

   -x +7y = 27  [Equation B]

----

   3x +3y = 15

   3*(-x +7y = 27)  [Multiply the Equation B by 3]

  -3x +21y = 81     [Aha - this equation has a -3x term, exactly what we need to eliminate the x term in Equation A]

---

Now add the two resulting equations:

    3x +3y = 15

   -3x +21y = 81

            24y = 96  [The x term disappears.  But we'll "find x" later]

                 y = 4   [Divide both sides by 24]

Find y and z:

Since y = 4,

-x  +7y   = 27 (From above, Equation B]

-x = -7y + 27

 x = 7y - 27

x = 7(4)-27

 x = 1                  [Looking good]

=====

Find z:  (Use y = 4 and x = 1)

x - 2y + z = -5  [Equation 2]

(1) -2*(4) + z = -5

1 - 8 + z = -5

z = 2

Check:

Do the original equations work when x = 1, y = 4, and z = 2?

Results:  

1.    2x + y +3z = 12      

     (1) + (4) +3(2)    YES, this equals 12

2.     x - 2y + z = -5  

       (1)  -2*(4) + (2)   YES, this equals -5

3.    5x - y+ 2z = 5

       5(1) - (4) + 2(2)   YES, this equals 5

x = 1, y=4, and z=2

It took Paul a total of 12 hours and 40 minutes to complete all three parts of the Ironman triathlon.

Paul’s time for swimming in the Ironman triathlon was 1 hour 25 minutes. Her time for biking was 5 hours longer than her swimming time, so her biking time was (1 hour + 5 hours) = 6 hours 25 minutes. She ran for 4 hours 50 minutes. The total time it took her to complete all three parts of the race is (1 hour 25 minutes) + (6 hours 25 minutes) + (4 hours 50 minutes) = 12 hours 40 minutes.

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Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

Step-by-step explanation:

decrease by 10

Answer:

Step-by-step explanation:

increased by thirty tickets

The solution to each of the arithmetic sequence are:

1) a₁₀ = 56

2) a₁₀ = 87

3) missing term is 13

4) missing term is 14

The formula for the nth term of an arithmetic sequence is:

aₙ = a + (n - 1)d

where:

a is first term

n is nth term

d is common difference

1) a = 2

d = 6

a₁₀ = 2 + (10 - 1)6

a₁₀ = 2 + 54

a₁₀ = 56

2) a = 15

d = 8

a₁₀ = 15 + (10 - 1)8

a₁₀ = 87

3) The missing term will be gotten by finding the common difference.

d = (22 - 4)/2

d = 18/2

d = 9

missing term = 4 + 9 = 13

4) The missing term will be gotten by finding the common difference.

d = (53 - 25)/2

d = 28/2

d = 14

missing term = 4 + 9 = 14

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Given:

Graph is given.

Therefore the equation of the given graph is