All categories

3 years ago

The line of best fit drawn on a scatter plot ____

Mathematics

2 answers:

salantis [7]3 years ago

8 0

The answer is choice D. A line of best fit approximates data using a line.

KonstantinChe [14]3 years ago

3 0

Approximates the linear relationship of the data

You might be interested in

Tony drove 605 miles in 11 hours At the same rate how many miles would he drive in 7 hours

Vitek1552 [10]

Answer:

He drive for 385 miles

Step-by-step explanation:

11hrs = 605 miles

1hr = 55 miles

7hr = 55 × 7

= 385 miles

7 0

3 years ago

Read 2 more answers

If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24

VARVARA [1.3K]

Answer:

A 12 in diameter will reward you with the largest slice of pizza.

Step-by-step explanation:

Let $r$ be the radius and $\theta$ be the angle of a circle.

According with the graph, the area of the sector is given by

$A=\frac{1}{2}r^2\theta$

The arc lenght of a circle with radius $r$ and angle $\theta$ is $r \theta$

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

$2r+r\theta=24 \:in$

We need to express the area as a function of one variable, to do this we use the above equation and we solve for $\theta$

$2r+r\theta=24\\r\theta=24-2r\\\theta=\frac{24-2r}{r}$

Next, we substitute this equation into the area equation

$A=\frac{1}{2}r^2(\frac{24-2r}{r})\\A=\frac{1}{2}r(24-2r)\\A=12r-r^2$

The domain of the area is

$0$

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

$\frac{d}{dr} A=\frac{d}{dr}(12r-r^2)\\A'(r)=\frac{d}{dr}(12r)-\frac{d}{dr}(r^2)\\A'(r)=12-2r$

$12-2r=0\\-2r=-12\\\frac{-2r}{-2}=\frac{-12}{-2}\\r=6$

To check if $r=6$ is a maximum we use the Second Derivative test

if $f'(c)=0$ and $f''(c)$ , then f(x) has a local maximum at x = c.

The second derivative is

$\frac{d}{dr} A'(r)=\frac{d}{dr} (12-2r)\\A''(r)=-2$

Because $A''(r)=-2$ the largest slice is when r = 6 in.

The diameter of the pizza is given by

$D=2r=2\cdot 6=12 \:in$

A 12 in diameter will reward you with the largest slice of pizza.

3 0

3 years ago

A map has a scale of 1 in: 10 mi. On the map, the distance between two cities is 5 inches. What is the actual distance between t

Schach [20]

50 miles since 1 inch equals 10 miles and there's 5 inches that means 5x10=50

4 0

3 years ago

Plssssssssssssssssssssssssssssssssssssss

solniwko [45]

Answer:

c. quadrilateral

Step-by-step explanation:

All of the sides are different lengths, so the quadrilateral cannot be a parallelogram, rhombus, or square.

Its best descriptor is parallelogram.

_____

A parallelogram has opposite sides parallel and congruent. A rhombus also has adjacent sides congruent. A square is a special case of rhombus in which the corner angles are right angles.

5 0

2 years ago

Joel can drive his car 450 miles at a steady speed using 15 gallons of gasoline. Making rate table showing the number of miles y

harkovskaia [24]

I hope this helps!! Don’t mind the 20 mph at the top. That was from another problem I was helping someone else on.

4 0

3 years ago