The linear correlation coefficient for a set of paired variables is r=0.897. what proportion of the variation in y acn be explained by the linear relationship between x and y?

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

54

Step-by-step explanation:

126+54=180

Answer:

Step-by-step explanation:

its 212123s\

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

B. 8 inches and 5 inches

Step-by-step explanation:

Rectangles: opposite sides are parallel and equal and adjacent sides form right angles.

Answer: v = 18

Step-by-step explanation:

26 = 8 + v

Now, subtract 8 from the right hand side and the left hand side, leave v alone: 18 = v

For the given list {20 21 24 31 38 27 26 25}, value of i when the first swap executes is 4.

What is list?

In computer science, a list is a data structure that stores a collection of elements or items in a specific order. Each element in a list is assigned a unique index or position that reflects its place in the sequence.

To determine the value of i when the first swap executes, we need to perform a bubble sort on the given list and observe when the first swap occurs. Here are the steps of the bubble sort algorithm:

Compare the first two elements of the list, 20 and 21. Since 20 < 21, no swap is performed.

Compare the next two elements, 21 and 24. Since 21 < 24, no swap is performed.

Compare the next two elements, 24 and 31. Since 24 < 31, no swap is performed.

Compare the next two elements, 31 and 38. Since 31 < 38, no swap is performed.

Compare the next two elements, 38 and 27. Since 38 > 27, a swap is performed.

After the swap, the list becomes {20, 21, 24, 31, 27, 38, 26, 25}.

At this point, i = 4, since the first four elements of the list have already been sorted, and the swap occurred between the fourth and fifth elements.

Therefore, the value of i when the first swap executes is 4.

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Complete question:

Given list {20 21 24 31 38 27 26 25}.

What is the value of "i" when the first swap executes?

The algorithm starts with i = 0 (the index of the first element), each time we move to the next pair of elements, we increase i by 1. the value of i when the first swap executes is i = 4.

To determine the value of i when the first swap executes in the given list {20, 21, 24, 31, 38, 27, 26, 25}, we will use the bubble sort algorithm. Here's a step-by-step explanation of the algorithm:

Start with the first element in the list, which is 20 in this case.

Compare the first element with the next one, 21. If the first element is greater than the next one, swap them. In this case, 20 is not greater than 21, so no swap occurs.

Move to the next pair of elements (21 and 24) and repeat the process. Again, no swap occurs since 21 is not greater than 24.

Continue this process for the remaining elements. Compare 24 and 31, no swap occurs; compare 31 and 38, no swap occurs.

When comparing 38 and 27, 38 is greater than 27, so the first swap occurs here. Swap 38 and 27 to get the new list: {20, 21, 24, 31, 27, 38, 26, 25}.

Since the algorithm starts with i = 0 (the index of the first element), each time we move to the next pair of elements, we increase i by 1. The first swap occurs when comparing the elements at index 4 (31) and index 5 (27). Therefore, the value of i when the first swap executes is i = 4.

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In this question, we are asked to determine the cardinality of the power set of the given set. The power set of any set S is the set that consists of all possible subsets of the set S. The power set of the given set is denoted by P(S).

Let the set S be {r, s, t}. Then the possible subsets of the set S are:{ }, {r}, {s}, {t}, {r, s}, {r, t}, {s, t}, and {r, s, t}.Thus, the power set of the set S is P(S) = { { }, {r}, {s}, {t}, {r, s}, {r, t}, {s, t}, {r, s, t} }.The cardinality of a set is the number of elements that are present in the set.

So, the cardinality of the power set of set S, denoted by |P(S)|, is the number of possible subsets of the set S.|P(S)| = 8The cardinality of the power set of the set S is 8.

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Answer:

B, complementary angles

Step-by-step explanation:

The angles make a 90 degree angle when added together

The significance of the slope in regression can be determined by conducting a hypothesis test

The slope of the regression line in a regression analysis shows how  dependent variable changes as the independent variable increases by a unit. A hypothesis test on a slope coefficient, commonly referred to as the beta coefficient or the regression coefficient, can be used to ascertain the significance of the slope. The slope coefficient is compared to a null hypothesis value of zero in the hypothesis test.

The null hypothesis is rejected and it is determined that there is a significant association between the independent and dependent variables if the p-value for the slope coefficient is less than the significance threshold. Therefore, slope is not equal to zero and there is an association amongst changes in the independent variable and those in the dependent variable.

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0.16 /0.2

=0.8

Step-by-step explanation:

hope it's help you

Let the distance from the corner is x.

The length of diagonal -12 inch.

the fiure show a right angle triangle

Apply the pythagoras theorem to find the values of x

Pytahgoras theorem state as the square of the hypotenuse is equal to sum of the squre of perpendicular and the square of base of right angle triangle,

In the given figure we have,

Hypotenuse=12

Base=x

Perpendicular=x

Substutute the value in the pythagoras theorem

The corner will be at a distance of 8.5 inch.

Answer:

10 Miles

Step-by-step explanation: The ratio for the problem is 1:6, multiply the 6 by 10 to get an hour and in a ratio you must multiply the number on booth sides by the same thing, the 1=miles and the 6=minutes

Answer:

y=-⅗x+3

Step-by-step explanation:

5y=-3x+15. Divide 5 on both sides

5. 5

y=-⅗x+15/5

y=-⅗x+3

Hope this helps :)

Answer:

What is this ?

Step-by-step explanation:

Sorry i can't answer it because i can't see it.

Answer:

It should be m∠FGH = m∠GFI

Step-by-step explanation:

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

m∠FGH  and m∠GFI are alternate interior angles, so they are congruent.

Answer:

The equation of the line that passes through the point (-2,0) with a slope of -1/3 is y= -1/3x-2/3

Answer:

let the number of sides be x.

(x-2) x 180 = 10440 (angle sum of polygon)

x -2 = 58

x = 60

So the number of sides is 60

Answer:

missing angle <60 and side lengths 5, 5\(\sqrt{3}\)

Step-by-step explanation:

we understand from the given information that  the triangle in question is a special right triangle

and since this is a special triangle the side lengths follows :

the side length that sees <90 is represented by 2x

the side length that sees <60 is represented by x\(\sqrt{3}\)

and the side length that sees <30 is represented by x

2x = 10 so x = 5 and  x\(\sqrt{3}\) = 5\(\sqrt{3}\)

Answer:

4.5

Step-by-step explanation:

it just is trust me bro

Answer:

im pretty sure it is 9/32

Step-by-step explanation:

plz give brainleyist

Answer:

It is a right-obtuse angle

Step-by-step explanation:

An angle of 98 degrees is an obtuse angle.

An obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees.

The word "obtuse" comes from the Latin word "obtusus," which means "blunt." This is because obtuse angles look like blunt points.

Obtuse angles are often found in triangles. Obtuse angles are also found in other shapes, such as trapezoids and pentagons.

Therefore, an angle of 98 degrees is an obtuse angle.

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Answer:

603.19 with pi and 602.88 with 3.14

Step-by-step explanation:

V = pi times r^2 times h

Answer:

\(x^{2} -16x +64 = 0\)

Step-by-step explanation:

\((x-8)^{2}\) is the same as saying \((x-8)(x-8)\)

therefore, you use FOIL(first outside inside last) to get

\(x^{2} -8x-8x+64\)

which is \(x^{2} -16x +64 = 0\) in standard form

Answer: \(m=\frac{1}{9}\)

Step-by-step explanation:

\(\frac{9}{7}m=\frac{1}{7}\)

Multiply by the reciprocal to isolate m.

\((\frac{7}{9} )\frac{9}{7}m=\frac{1}{7}(\frac{7}{9} )\)

\(m=\frac{1}{9}\)

Please the image attached below to find the image by pure translation of the figure seen in the picture set aside.

In this problem we find a figure formed by eight vertices: (1, 3), (1, 4), (4, 4), (4, 3), (2, 3), (3, 3), (2, 1), (3, 1), each of which has to be modified by applying the translation vector (4, 5). Now we proceed to find the resulting coordinates:

(1, 3) + (4, 5) = (5, 8)

(1, 4) + (4, 5) = (5, 9)

(4, 4) + (4, 5) = (8, 9)

(4, 3) + (4, 5) = (8, 8)

(2, 3) + (4, 5) = (6, 8)

(3, 3) + (4, 5) = (7, 8)

(2, 1) + (4, 5) = (6, 6)

(3, 1) + (4, 5) = (7, 6)

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The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.

This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:

y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.

Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.

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Answer:

it is C

Step-by-step explanation:

it cannot be A or B because ether angles 2 or 3 would have to be an obtuse angle, which neither of them is. So, this leaves C and D. It is not D because angles 2 and 3 are not corresponding (angles 2 and 4 are). This leaves option C as the only answer.

Pls mark brainliest with the crown

Answer:

D

Step-by-step explanation:

u just graph all the points and connect the lines; then see where the two lines meet :P

The expression is represented as 5x - 44

Algebraic expressions are simply described as expressions that are composed of terms, coefficients, constants, factors, and variables.

Algebraic expressions are also known to be composed of mathematical operations.

These operations are given thus;

From the information given, we have that;

difference when (2x-6) is subtracted from (7x-50

This is represented as;

7x - 50 - (2x - 6)

expand the bracket

7x - 50 - 2x + 6

collect the like terms

5x - 44

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