what is the answer for this ?

The percentage of the variation in y can be explained by the corresponding variation in x and the least - squares line

The value of the coefficient of determination r2 = 0.9617*0.9617 = 0.9249

percentage of the variation in y can be explained by the corresponding variation in x and the least - squares line is = 92.49%

So, percentage is unexplained = (100 - 92.49)%

= 7.51%

Therefore, the percentage of the variation in y that can be explained by the corresponding variation in x and the least-squares line is 92.49% . The percentage which is unexplained is 7.51% i.e. (100%−92.49%) .

Hence the variation in X and the least-squares line is 7.51%

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This means that the given side lengths do not satisfy the converse of the triangle inequality theorem, and thus a triangle cannot be formed with side lengths 8, 9, and 17.

Given that they have three quadrants or more, triangles are considered polygons. It has a straightforward geometric shape. The letters ABC form a right-angled triangle when put together. Euclidean geometry creates a new rectangle of square when the borders are incompatible. Given that they have three sides and three corners, triangles are categorised as polygons.

Here,

No, it is not possible to form a triangle with side lengths 8, 9, and 17.

To see why, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Symbolically, for sides a, b, and c, this can be written as:

a + b > c

a + c > b

b + c > a

Let's check if these inequalities are satisfied for the sides of 8, 9, and 17:

8 + 9 > 17 (true)

8 + 17 > 9 (true)

9 + 17 > 8 (true)

All three inequalities are true, which means that the given side lengths satisfy the triangle inequality and a triangle can be formed.

In this case, we see that 8 + 9 = 17, which is exactly the length of the third side.

This means that the given side lengths do not satisfy the converse of the triangle inequality theorem, and thus a triangle cannot be formed with side lengths 8, 9, and 17.

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According to Descartes' Rule of Signs, there is 1 positive real zero and 2 or 0 negative real zeroes of the polynomial.

Descarte's Rule of Signs determines the number of real zeros in polynomial functions.

This indicates that -

The number of positive real zeros in the polynomial function f(x) is less than or equal to an even number depending on the sign change of the coefficients.

The number of negative real zeros in f(x) is an even number equal to or less than the number of sign changes of the coefficients of f(-x) terms.

Here, the polynomial function is given as -

\(P(x)=x^{3}-x^{2} -x-5\) ----- (1)

We have to find out the number of positive and negative real zeros that  the given polynomial can have.

The given polynomial already has its variables in the descending powers. So, we can easily determine the number of sign changes in the coefficients of P(x).

So, the coefficients of the variables in P(x) are -

1, -1, -1, -5

From above, we see that -

There is a sign change in the first and second variable coefficients

There is no sign change in the second and third variable coefficients

There is no sign change in the third and fourth variable coefficients

According to Descartes' Rule of Signs, there can be exactly three positive real zeros or less than three but an odd number of zeros.

So, we can determine that the number of positive real zeroes of the given polynomial can be 1.

To find out the negative real zeroes of the given polynomial, we have to find out P(-x) and determine the sign changes in the variable coefficients of P(-x).

From equation (1), we can write P(-x) as -

\(P(x)=x^{3}-x^{2} -x-5\\= > P(-x)=(-x)^{3}-(-x)^{2} -(-x)-5\\= > P(-x)=-x^{3}-x^{2} +x-5\)----- (2)

So, the coefficients of the variables in P(-x) are -

-1, -1, +1, -5

From above, we see that -

There is no sign change in the first and second variable coefficients

There is a sign change in the second and third variable coefficients

There is a sign change in the third and fourth variable coefficients

According to Descartes' Rule of Signs, since there are two sign changes of the coefficient variables, there can be two negative real zeros or less than two but an even number of zeros.

So, we can determine that the number of negative real zeroes of the given polynomial can be 2 or 0.

Thus, according to Descartes' Rule of Signs, there is 1 positive real zero and 2 or 0 negative real zeroes of the polynomial.

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Answer:

$ 7.29

Step-by-step explanation:

bill = $40.50

tip = 18%

tip amount = tip% of bill

=18/100 * $40.50

=729/100

=$ 7.29

Answer:

7.29 DOLLARS IS THE ANSWER

The measure of HD in the given figure using the side-splitter theorem is 5.5.

We have,

The Side-Splitter Theorem is a geometric theorem that relates the side lengths of two triangles formed when a pair of parallel lines intersects two transversals.

Now,

Applying the side splitter theorem in the given figure,

EG/GD = FH/HD ______(1)

Given,

EG = 4

GD = 11

FH = 2

Substituting in (1).

4/11 = 2/HD

Cross-multiply.

HD = 2/4 x 11

HD = 11/2

HD = 5.5

Thus,

The measure of HD in the given figure using the side-splitter theorem is 5.5.

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The complete question:

complete the work to find the length of HD.

Use the side-splitter theorem to set up a proportion.

EG/GD = FH/HD

Substitute in the known side lengths.

4/11 = 2/HD

Cross multiply and solve for HD.

HD =

Answer:

The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph.

I hope it helps.

Answer:

Answer C: Reflecting over the line y = x

Step-by-step explanation:

A function and its inverse have always symmetry around the line y = x (called also the identity line)

Therefore answer C seems to be the only answer that addresses such.

Answer:

Step-by-step explanation:

angle KHJ is equal to angle LJH, so by def. of isoceles triangle, 180-126 = 54/2 = 27 = angle KHJ = angle LJH. So Angle JKH is 180-(27+90), is 63. Angle HJL is 27. Angle LHK is 90- Angle KHJ, or 90-27, which is 63. Finally, Angle JLK is 27 because it's literally a reflection of triangle HMJ and LMK.

Answer:

4y^4√3x^2y

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

3/7

Step-by-step explanation:

Let's solve your equation step-by-step.

2(5x+3)=3x+9

Step 1: Simplify both sides of the equation.

2(5x+3)=3x+9

(2)(5x)+(2)(3)=3x+9(Distribute)

10x+6=3x+9

Step 2: Subtract 3x from both sides.

10x+6−3x=3x+9−3x

7x+6=9

Step 3: Subtract 6 from both sides.

7x+6−6=9−6

7x=3

Step 4: Divide both sides by 7.

7x

7

=

3

7

x=

3

7

Answer:

x=

3

7

Hope it  helps :)

Answer:

3.375 or 3.38 if rounded to the hundredths place.

Step-by-step explanation:

To get the mean of a set of numbers we add all the numbers in the set and then divide the sum by the amount of numbers in the set.

3+7+0+3+4+0+9+1= 27

Amount of numbers: 8

We divide 27 by 8.

27 ÷ 8= 3.375

3.375 is the mean, which we can round to 3.38 or further down to 3.4 for the tenths place and 3 for the ones place.

Answer:

yes it is possible

Step-by-step explanation:

for the rectangular pen, let the width be W and the Length be L,

hence the area of the pen would be:

Area = W x L

We are given that the area is to be 540. Substitute this into the equation:

WL = 540   (in order to make the next step easier, we will express W in terms of L by dividing both sides by L)

W = 540 / L --------(eq 1)

Similarly, the perimeter of the rectangular pen would be

Perimeter = L + L + W + W

Perimeter = 2L + 2W (substitute the given perimeter = 96 meters)

96 = 2L + 2W   (divide both sides by 2)

L + W = 96/2

L + W = 48   (as in equation 1, we will express W in terms of L by subtracting L from each side)

W = 48 - L ----------------------(eq 2)

if we equate (eq1) = (eq2)

540/L = 48 - L  (multiply both sides by L)

540 = L (48 - L)

540 = 48L - L²  (rearranging)

L²- 48L + 540 = 0    (solving by factorization)

(L-18)(L-30) = 0

Hence L = 18 meters or L = 30 meters

Now we find the corresponding values for W by substituting our values for L into equation 2

For L = 18 , W = 48 - 18 =30  (Hence L = 18 and W = 30 is one possible combination)

For L = 30, W = 48 - 20 = 18  (we can in L = 30 and W = 18 is another possible combination)

Since we can real solutions for L and W, we can conclude that it is possible to have an area of 540 m² and a perimeter of 96m

In the given coordinate plane, based on the given dilation the line r has slope 8 and coordinate (0,8)

Dilation:

Dilation refers the ratio of the given line to line by the scale factor.

Given

In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3).

Here we need to find the the slope and y-intercept of line r.

Here we know that scale factor is 3.

Let us consider the slope of the line r will not change and the intercept is the addition of their ordinate will be.

So, it can be written as,

=> Intercept = 5 + 3

=> Intercept = 8

Therefore, the line r has slope 8 and coordinate (0.8).

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Answer:

Radius is 12 (24/2)

Diameter is 24 (a straight line passing from side to side through the center of a circle)

Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.

Let's calculate the final amount paid by Alice and Jeff for their purchases.

Alice:

Jeff:

So, Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.

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3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

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Answer:

152 ounces

Step-by-step explanation:

1 Ib (pound) = 16 ounces

9.5 Ib (pound) = 9.5 * 16 = 152 ounces

The value of tan(θ) in the given range π/2 ≤ θ ≤ π where sin(θ) - 3/8 is satisfied, can be determined by analyzing the properties of the tangent function.

Let's consider the given inequality sin(θ) - 3/8. We need to find the values of θ within the specified range where this inequality holds.

The tangent function is defined as tan(θ) = sin(θ) / cos(θ), where cos(θ) ≠ 0.

To find the values of θ that satisfy the given inequality, we can rewrite it as sin(θ) - 3/8 > 0. This means that sin(θ) is greater than 3/8. Since π/2 ≤ θ ≤ π, we know that sin(θ) is positive in this range.

Therefore, we can conclude that sin(θ) > 3/8.

Now, using the fact that tan(θ) = sin(θ) / cos(θ), we can substitute sin(θ) with 3/8 to find tan(θ) > 3/8 / cos(θ). Since cos(θ) is positive in the given range, we can further simplify the expression to tan(θ) > 3/8cos(θ).

In summary, tan(θ) is greater than 3/8cos(θ) in the range π/2 ≤ θ ≤ π, where sin(θ) - 3/8 is satisfied.

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2x + 40 = 180

2x = 140

x= 70

answer is 70

Answer:

$1.25

Step-by-step explanation:

Subtract $0.25 by $1.50

$1.50-$0.25=$1.25

The two triangles in the figure are similar by the AA (Angle-Angle) similarity theorem, indicating that they have the same shape but may differ in size.

a. The two triangles in the figure are similar because they have the same shape, but may differ in size. More specifically, they are similar by the AA (Angle-Angle) similarity theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In the given figure, we can see that:

Angle A in triangle ABC is congruent to angle D in triangle DEF.

Angle C in triangle ABC is congruent to angle F in triangle DEF.

Therefore, by the AA similarity theorem, we can conclude that the two triangles ABC and DEF are similar.

b. We can write a similarity statement for the two similar triangles as:

Triangle ABC is similar to triangle DEF, written as ΔABC ~ ΔDEF.

Note that this similarity statement indicates that the two triangles have the same shape, but may differ in size. Also, the order of the vertices is important and should be listed in the same order for both triangles.

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The point (4,7) in the original function translates to the point (4,1) in the translated function f(x) = (x-6) + 3.

To find the point that the function f(x)=(x-6)+3 translates to, we need to substitute the x-coordinate of the given point (4,7) into the translated function and evaluate the corresponding y-coordinate.

Let's substitute x = 4 into the translated function:

f(x) = (x - 6) + 3

f(4) = (4 - 6) + 3

f(4) = -2 + 3

f(4) = 1

The translated point is (4, 1). This means that the original point (4,7) translates horizontally by shifting 6 units to the right and vertically by shifting 3 units upwards. The x-coordinate remains the same, while the y-coordinate changes.

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Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.

The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.

The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.

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Answer: 13

Step-by-step explanation:

25.50

Hope this helped you- have a good day bro cya)

1. Georgia's ACT Math score in the 90th percentile places her in the top 10%. 2. Approximating Georgia's ACT Math score within two tenths on a scale of 1 to 36. 3. Percentiles vary based on score distribution and test-taker performance, influencing the interpretation of individual scores.

1. In the context of Georgia's ACT Math score being in the 90th percentile, it means that Georgia performed better than approximately 90% of the test-takers who took the ACT Math section. Her score is among the top 10% of all test-takers who took the exam.

2. To approximate Georgia's Math score on the ACT within two tenths of a point. The ACT Math section is scored on a scale of 1 to 36, with 36 being the highest possible score.

3. Percentiles are calculated based on the distribution of scores among test-takers, and they depend on the specific score range and the performance of other test-takers.

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Answer:

No solution

Step-by-step explanation:

We can easily tell that there are no solutions by using the discriminant rule.

The discriminant rule comes directly from the discriminant of the quadratic equation and is b^2-4ac

It can tell us three things about the solution:

When the discriminant is less than 0, there is no solution.

When the discriminant equals 0, there is one distinct solution.

When the discriminant is greater than 0, there are two distinct solutions

In the problem a = 1, b = 6, c = 10.

Plugging in what we have gives us 6^2*4(1)(10) = -4.

-4<0 so there are no real solutions.