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2 years ago

Use technology to find the line of best fit for the following data.

Mathematics

1 answer:

Svet_ta [14]2 years ago

6 0

An equation for the line of best fit is y = -0.3x + 4.5 and the value of "m" is -0.3.

A line of best fit simply refers to a statistical tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between data points.

In this scenario, the ordered pairs would be plotted on the x-coordinate and y-coordinate of a scatter plot.

By critically observing the scatter plot (see attachment) which models the ordered pairs, we can reasonably and logically deduce that a linear function for the line of best fit is given by:

y = -0.3x + 4.5 ≡ y = mx + b

<u>Where:</u>

-0.3 or m represents the slope.
x and y are the points.
4.5 or b represents the y-intercept.

Therefore, m is equal to -0.3.

Read more on line of best fit here: brainly.com/question/12891189

#SPJ1

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Find the radius of a circle with diameter 91yd

4vir4ik [10]

Answer: 45.5yds

Step-by-step explanation:

- the radius is simply half of the diameter so: 91 / 2= 45.5yd

- so the radius is 45.5yds

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2 years ago

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vekshin1

Answer:

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Step-by-step explanation:

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3 years ago

A 10-foot ladder touches the side of a building at a point 8 feet above the ground. At what height would a 22-foot ladder touch

WARRIOR [948]

<h2>Answer:</h2>

8.75 feet

Given that a 12 foot ladder leans against a building seven feet above the ground.

By using trigonometry ratio, the angle between the ladder and the ground will be

SinØ = opposite/ hypothenus

SinØ = 7 / 12

SinØ = 0.58333

Ø = Sin^-1(0.58333)

Ø = 35.69 degree

At what height would an 15 foot ladder touch the building if both ladders form the same angle with the ground?

Using the same trigonometric ratios

SinØ = opposite/hypothenus

Sin 35.69 = opposite/ 15

Cross multiply

Opposite = 15 × sin 35.69

Opposite = 8.75 feet

Therefore, the ladder will touch the building if both ladders form the same angle with the ground at height 8.75 feet.

6 0

3 years ago

Wat are the two qualifications a graph must follow for it to be proportional

Oksi-84 [34.3K]

The two requirements for a proportional relationship are: The ratio of the two variables maintain the same ratio.

4 0

3 years ago

A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a

kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, $s=\frac{dx}{dt}=470\ mi/h$

Now, applying Pythagoras theorem to the triangle, we have:

$D^2=h^2+x^2\\\\D^2=1+x^2$

Differentiating with respect to time 't', we get:

$2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)$

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

$2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi$

Now, plug in all the given values and solve for $\frac{dD}{dt}$ . This gives,

$\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h$

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

6 0

4 years ago