Find the midpoint of the line segment with the given endpoints. 8) (4, -6), (-4,8) A) (0, 1) C) (4, -7) B) (-12, 22 D) (-1,2)

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The correlation coefficient for the data-set in the table is given as follows:

r = 0.95

A correlation coefficient is a statistical measure that indicates the strength and direction of a linear function between two variables.

The coefficients can range from -1 to +1, with -1 indicates a perfect negative correlation, 0 indicates no correlation, and +1 indicates a perfect positive correlation.

The points for this problem are given as follows:

(26, 49), (28, 50), (30, 57), (32, 54), (34, 60), (35, 58), (37, 64), (38, 66), (41, 63), (45, 72).

Inserting these points into a calculator, the correlation coefficient is given as follows:

r = 0.95. (rounded to the nearest hundredth).

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Using concepts of Probability, we got 13/17 is the probability of selection of diagonal which is not shortest nor longest.

We know very well that icosagon has 20 sides.

If any diagonal is possible, it can be possible by connecting two points, so to choose r objects from n objects can be done by \(^nC_r\) ways=\(\frac{n!}{r!.(n-r)!}\)

So, number of ways to choose diagonal =\(^2^0C_2\)

After that we need to subtract 20 ways as single point can lead to diagonal making.

So, total number of ways to choose 20 diagonals=\(^2^0C_2\)-20 = 170

Now, talking about the shorter diagonal

so, shorter diagonal =Diagonal connecting(A₁A₃, A₂A₄,.....) =20 diagonals.

Now, talking about longer diagonal=Diagonal connecting(A₁A₈,A₂A₉.........)=20 diagonals

So, we have total chances of selection and possible number of chances of selection of shorter and longer diagonal

So, according to the formula of Probability=\(\frac{Favorable outcomes}{Total Outcomes}\)

Probability=[(Total ways to select diagonals-(Ways to select shorter diagonal)-Ways to select longer diagonal)]/(Total number of ways)

=>Probability=(170-20-20)/170

=>Probability=130/170

>Probability=13/17

Hence, the probability of selecting a  diagonal such that it is not shortest nor longest is 13/17.

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the larger the sample, the more confidence you have when you generalize your sample findings to the population facts.

The larger the sample size, the more confidence you can have when you generalize your sample findings to the population facts. This is because larger sample sizes provide more accurate representation of the population facts due to the increased number of data points collected. As a result, the more data points you have, the more reliable your findings are in terms of representing the population facts. The larger the sample size, the more confidence you can have in generalizing the findings to the population facts.

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Answer:

x = 62.7°

Step-by-step explanation:

Here given adjacent is 3.9 and hypotenuse is 8.5.

cos(x) = adjacent/hypotenuse

cos(x) = 3.9/8.5

x = \(cos^{-1} \)(3.9/8.5)

x =  62.6887°

x = 62.7° ____if rounded to nearest tenth

Step-by-step explanation:

47)25+35x+4x-1=180

24+39x=180

39x=180-24

39x=156

x=4

48)70+9x-5+13x+5=180

70+22x=180

22x=180-70

22x=110

x=5

Hope this helps u...

A scatter plot chart of stock returns versus past stock returns will typically appear as a random pattern mostly concentrated in the top-right and lower-left quadrants.

This pattern indicates that there is a positive correlation between past and current stock returns, but there are also instances where current returns are negative despite past positive returns.

The top-right quadrant represents instances where both past and current returns are positive, while the lower-left quadrant represents instances where both past and current returns are negative.

The random pattern indicates that stock returns cannot be predicted with certainty based on past returns alone.

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Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Answer:

good luckkkk..,......

Answer:

62.208

Step-by-step explanation:

51.84 + 10.368

Answer:

I think if the total amount was $51.84 after tax, then 51.84 x 0.20 = 10.368. $51.84 - 10.368 = $41.472

I think original price was $41.47. I am not sure.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

13.7

Given the equation below

Step 1: Write out the standard form of the equation of a parabola

The standard form is

Answer:

809

Step-by-step explanation:

787 susifx

True, Monte Carlo simulation is used for statistical sampling where larger number of trials are used for the precise result.

Step by Step Explanation:

Therefore, it is true to have more number of trials in Monte Carlo simulation  statistical sampling for precise result.

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The mean number of travel days per year for salespeople employed by three hardware distributors needs to be estimated with a 0.95 degree of confidence. The correct option to this number is 1,219.

To calculate the sample size needed for a desired level of confidence, we can use the formula:
n = (Z^2 * σ^2 * N) / ((B^2 * (N-1)) + (σ^2))
where:
n = required sample size
Z = Z-score (for a 0.95 degree of confidence, Z = 1.96)
σ = standard deviation (18 days)
N = population size (unknown, but not needed for large populations)
B = margin of error (2 days)
n = (1.96^2 * 18^2) / (2^2)
n = (3.8416 * 324) / 4
n = 1241.7984
Since we cannot have a fraction of a salesperson, we round up to the nearest whole number. Thus, the required sample size is approximately 1,242 salespeople. However, this option is not among the multiple choices provided. The closest option to this number is 1,219.

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The perimeter of the triangle and the square are both equal to 72 units.

To find the perimeter of the triangle, we need to add the length of the base to the sum of the lengths of the two equal sides and the length of the remaining side. Therefore, the perimeter of the triangle can be expressed as:

Perimeter of Triangle = 2x + 2(2x) + (x - 8)

Simplifying this expression, we get:

Perimeter of Triangle = 5x - 8

Therefore, the perimeter of the square can be expressed as:

Perimeter of Square = 4(x + 2)

Simplifying this expression, we get:

Perimeter of Square = 4x + 8

Now, since we know that the perimeters of the triangle and the square are equal, we can set the expressions for their perimeters equal to each other and solve for x:

5x - 8 = 4x + 8

Simplifying this equation, we get:

x = 16

Now that we have found the value of x, we can substitute it back into the expressions for the perimeters of the triangle and the square to find their values.

Perimeter of Triangle = 5x - 8 = 5(16) - 8 = 72

Perimeter of Square = 4x + 8 = 4(16) + 8 = 72

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Answer:

The fraction of the labelled angle is: 2/3 of one semicircle.

In radians, it is: 2.0944 rad.

Recall:

One semicircle = 3.1416 radian

One semicircle = 180 degrees

Thus, 120 degrees of a semicircle as a fraction would be:

120/180 = 2/3

Therefore, 120 degrees equals 2/3 semicircle.

Convert to radians:

One semicircle = 3.1416 radian

2/3 semicircle = x

Answer:

Your input: find x in the equation −x2−12=0

x=−24

Step-by-step explanation:

The probability that the weight of a randomly selected steer is less than 1700lbs is 0.9772.

To solve this problem, we need to use the standard normal distribution with a mean of 0 and a standard deviation of 1. We can convert the given data into a standard normal distribution by using the formula:

z = (x - μ) / σ

where z is the z-score, x is the given value, μ is the mean, and σ is the standard deviation.

In this case, we want to find the probability that a randomly selected steer weighs less than 1700lbs. So we need to find the z-score for 1700lbs:

z = (1700 - 1400) / 200

z = 1.5

We can then use a standard normal distribution table or calculator to find the probability that a z-score is less than 1.5. This probability is 0.9332.

However, since we want to find the probability that a randomly selected steer weighs less than 1700lbs (not less than or equal to), we need to add half of the probability of the z-score being exactly 1.5 to this result:

0.9332 + 0.0228 = 0.956

Therefore, the probability that a randomly selected steer weighs less than 1700lbs is 0.9772 (rounded to four decimal places).

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The exponential function that represents this pattern is:

\(l = 16000(0.75)^{d-1}\)

------------------------------

An exponential function is represented in the following format:

\(y = ab^x\)

In which:

In this problem:

Thus, the equation is:

\(l = 16000(0.75)^{d-1}\)

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The graph will look like this

Answer:

i think this the is the answer buddy.

goog luck

we can see the point ( - 1 ; - 2) on the line

so

f(-1) = - 2

as a point is ( x ; f(x) )

Answer:

f(-1) = -2

Step-by-step explanation:

f(-1) means find the value at x = -1

The y value at x=-1 is -2

f(-1) = -2

Answer:

its 55.489/5487.4554

Step-by-step explanation:

Answer:

1.79 × 10^1

Step-by-step explanation:

The goal of writing a number in scientific notation is to have a decimal number, with one digit to the left of the decimal point, followed by a × 10 to some power.

To format your number in this way, we'll divide the 17.9 by 10, 1 time(s), making it a 1.79.

We do this, because each division by 10 moves the decimal point to the left one digit.

But in order to keep our number the same number, we must have a × 10^1 next to the 1.79.

Answer:

p = 4

Step-by-step explanation:

9p - 3p - 5 = 19

First you subtract like terms which gives you

6p - 5 = 19

Then you move the constant to the right and change its sign which gives you

6p= 19 + 5

Then calculate your answer which gives you

6p=24

Then divide both sides by 6 which gives you

p=4

Answer:

-45

Step-by-step explanation:

Sum of two integers = -30

one of them = 15

let another number be 'x'

x + 15 = -30

x = -30 - 15

x = -45

so the other number is -45

Excessive punishment or negative reinforcement can harm a child's math achievement by creating fear, undermining confidence, and discouraging engagement with the subject. Positive discipline techniques and a supportive environment are crucial for fostering math success.

Excessive punishment or negative reinforcement as a discipline technique can have detrimental effects on a child's math achievement. When a child makes mistakes or struggles with math concepts, responding with punishment, criticism, or harsh consequences can create a negative association with math. This can lead to anxiety, fear, and a lack of motivation to engage with the subject.

Mathematics requires a growth mindset, where mistakes are seen as opportunities for learning and improvement. By punishing or negatively reinforcing a child's math mistakes, we discourage them from taking risks, trying new strategies, and seeking help when needed. It hampers their ability to develop problem-solving skills and critical thinking abilities.

Furthermore, negative discipline approaches can damage a child's self-esteem and confidence in their mathematical abilities. They may develop a belief that they are "bad at math" or incapable of improving, leading to a self-fulfilling prophecy where their performance suffers.

To support a child's math achievement, it is essential to employ positive discipline techniques. This includes providing constructive feedback, offering assistance and guidance, creating a safe and supportive learning environment, and promoting a growth mindset. Encouraging effort, perseverance, and celebrating small successes can foster a positive attitude towards math and enhance a child's mathematical abilities.

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Answer:

------------------

Use circumference formula:

Find the radius by rearranging the formula and substituting 32 for C:

Answer:

5.09 in

Step-by-step explanation:

We know that the formula to find the circumference of a circle is:

C = 2πr

Here,

C → Circumference → 32 in

r → radius

Let us find the radius of the circle by substituting the given values.

\(\sf C = 2\pi r\\\\\sf 32 = 2\pi r\\\\Divide\:both\:sides\:by\:2 \pi \:and\:make\:r\:the \:subject\\\\\dfrac{32}{2 \pi} =\dfrac{2 \pi r}{2 \pi} \\\\\red{5.09 \:in=r}\)

The solution of expression 1 /(2x - 3) + 2/(x - 3) = 1 in fraction form is,

⇒ x = (7 ± √85)/2

We have to given that;

An expression to solve is,

⇒ 1 /(2x - 3) + 2/(x - 3) = 1

Now, We can simplify as;

⇒ 1 /(2x - 3) + 2/(x - 3) = 1

⇒ (x - 3) + 2 (2x - 3) = (2x - 3) (x - 3)

⇒ x - 3 + 4x - 6 = 2x² - 6x - 3x + 9

⇒ 5x - 9 = 2x² - 9x + 9

⇒ 2x² - 14x - 18 = 0

⇒ 2 (x² - 7x - 9) = 0

⇒ x² - 7x - 9 = 0

By using quadratic formula we get;

⇒ x = (- (- 7) ± √7² - 4×1×-9) / 2

⇒ x = (7 ± √85)/2

Therefore, The solution is,

⇒ x = (7 ± √85)/2

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Answer:

12.6m²

Step-by-step explanation:

radius=2

Area=π2²=12.6(1dp)