What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and velocity of the toy car.

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Answer 1

Answer:

A correlation coefficient is a measure of the strength of dependence and correlation of a set of data. It shows how good is the fitted model to the data. It will have values ranging from -1.0 - 1.0. Having a coefficient that is the lower or the upper limit will tell you that the model best fit the data and a good correlation. However, as it goes farther from the limits then the correlation is to be a bad one.

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What is the greatest common factor of 2 and 2.5

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The GCF of 2 and 2.5 would be 2

Describe the location of the point having the following coordinates. positive abscissa, positive ordinate

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The Ordered pair (x,y) represents

→First Ordered pair,that is, x=Abscissa

→Second Ordered pair,that is , y=Ordinate

(+x,+y)=First Quadrant

(-x,+y)=Second Quadrant

(-x,-y)=Third Quadrant

(+x,-y)=Fourth Quadrant

⇒ (Positive abscissa, Positive ordinate)=Point will be in First Quadrant

the location of a point with a positive abscissa and a positive ordinate is a point in the first quadrant

The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph?

Answers

The coordinates of the vertex of the graph are (-2, -9).

Further explanation

The quadratic function is described by the standard equation $\boxed{ \ f(x) = ax^2 + bx + c \ }.$ The graph of a quadratic function is called a parabola.

We have the quadratic function $\boxed{ \ f(x) = x^2 + 4x - 5 \ }.$

We identify the coefficients a, b, and c. For this equation, $\boxed{ \ a = 1, b = 4, and \ c = -5 \ }$
The axis of symmetry is $\boxed{ \ x = h = -(b)/(2a) \ }$ , i.e., $\boxed{ \ x = h = -(4)/(2(1)) \rightarrow h = -2 \ }.$ Thus, the statement in the question for the symmetry axis x = -2 is correct.
The vertex (or turning point) is $\boxed{ \ (h, k) \ },$ where $\boxed{ \ k = f(h) \ }$ or $\boxed{ \ k = (b^2 - 4ac)/(-4a) \ }$
The parabola opens upward because a > 0, resulting in a vertex that is a minimum.

Finding the minimum value is as follows:

$\boxed{ \ k = f (-2) = (-2)^2 + 4(-2) - 5 \rightarrow k = -9 \ }, or$
$\boxed{ \ k = (4^2 - 4(1)(-5))/(-4(1)) = -(36)/(4) \rightarrow k = -9 \ }$

Therefore, the coordinates of the vertex of the graph are (h, k), i.e., $\boxed{\boxed{ \ (-2, -9) \ }}$

Other components:

The y-intercept of the quadratic function f(x) = x² + 4x - 5 is (0, c), i.e., the point $\boxed{ \ (0, -5) \ }.$
The factorization of f (x) = x² + 4x - 5 becomes f(x) = (x + 5)(x - 1). Then we get the x-intercepts at $\boxed{ \ (-5, 0) \ and \ (1, 0) \ }$

Learn more

Which is the graph of f(x) = (x - 1)(x + 4) brainly.com/question/2334270
Finding the y-intercept of the quadratic function f(x) = (x – 6)(x – 2) brainly.com/question/1332667
The midpoint brainly.com/question/3269852

Keywords: the axis of symmetry, for a function, f(x) = x² + 4x − 5, x = −2, which is the graph of f(x) = (x - 1)(x + 4), what, the coordinates of the vertex of the graph, the x-intercept, quadratic function, a standard equation, the y-intercept, parabola, upward, the minimum value

Based on the calculations, the coordinates of the vertex(h, k) of this graph are equal to (-2, -9).

The standard form of a quadratic equation.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Note: The graph of any quadratic function is known as a parabola.

From the given quadratic function, we have:

f(x) = x² + 4x - 5

For its coefficients, we have:

a = 1.

b = 4.

c = -5.

Next, we would determine the coordinates of the vertex of this graph:

x = h = -b/2a

h = -4/2(1)

h = -4/2

h = -2.

Also, we can deduce that the parabola of this graph opens upward because "a" is greater than zero (0), which produces a vertex that is a minimum:

f(h) = k

f(-2) = k = (-2)² + 4(-2) - 5

f(-2) = k = 4 - 8 - 5

k = -9.

Vertex (h, k) = (-2, -9).

Read more on vertex here: brainly.com/question/525947

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How do you solve (4c-10)◙

Answers

what is the black box? and u solve that by forgetting the c is there so 4-10= -6 or -6c

A printer can print 40 pages in 1.6 minutesa- Write an proportion to find the number of pages that the printer in 5 minutes, show your work
b- lana wants to use the printer to print 150 pages hows long will the take her

Answers

Given:
40 pages in 1.6 minutes

40 / 1.6 = 25 pages per minute

25 x 5 minutes = 125 pages

40 / 1.6 = x / 5
40*5 = 1.6x
200 = 1.6x
200/1.6 = x
125 = x pages

25 : 1 = 150 : x
25x = 150
x = 150/25
x = 6 minutes

How many terms are in the arithmetic sequence 7, 0, –7, …,–175?