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nadezda [96]
3 years ago
12

Analysis of the relationship between the fuel economy​ (mpg) and engine size​ (liters) for 35 models of cars produces the regres

sion model ModifyingAbove mpg with caret equals 36.44 minus 3.829 times Engine size. If a car has a 5 liter​ engine, what does this model suggest the gas mileage would​ be?
Physics
1 answer:
kvasek [131]3 years ago
8 0

Answer:

Gas mileage is 17.29

Explanation:

Given data:

The total number of the model is 35

The total size of the engine is 5 ltr

The regression model is given as

36.44 - 3.829\times engine\ size

From the information given in question we have

Regression equation is : model- mpg = 36.44 - 3.829\times engine\ size

Therefore for engine capacity of 5 liters;

Gas mileage = 36.44 - 3.829\times 5  = 17.29

Gas mileage is 17.29

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A plane leaves the airport in Galisteo and flies 170 km at 68.0° east of north; then it changes direction to fly 230 km at 36.0°
luda_lava [24]

Answer:

The direction will be 84.86^\circ and the distance 250.75km.

Explanation:

Let's say A is the displacement vector which represents the first 170km and B the one for the next 230km. Then the components of these vector will be:

A_x=170cos(68^{\circ})\\ A_y=170sin(68^\circ)\\\\B_x=230cos(-36^\circ)\\B_y=230sin(-36^\circ)

The vector which point from the origin to the final position of the plane will be R=A+B. We sum components on <em>x </em>and <em>y </em>independetly (vector property):

R_x=A_x+B_x=170cos(68^{\circ})+230cos(-36^\circ)=63.68km+186.07km=249.75km

R_y=A_y+B_y=170sin(68^\circ)+230sin(-36^\circ)=157.62km-135.19km=22.43km

If \theta is the direction of R then:

tan(\theta )=\frac{R_x}{R_y} ⇒ \theta = arctan(\frac{R_x}{R_y}) ⇒ \theta = 84.86^\circ.

The distance will be given by the magnitud of the vector R:

R=\sqrt{R_x^2 + R_y^2} ⇒ R=\sqrt{R_x^2 + R_y^2} = 250.75.

4 0
3 years ago
Two infinite wires 20 cm apart each carry a current of 3 A into the paper. d I I d/2 d/2 At a distance d 2 below their midpoint,
Rzqust [24]

<u>Answer:</u>

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<u></u>

<u>Explanation:</u>

Determine the direction of vector B magnitude B: B: B=\mu_{0} * 1 /(2 \pi r): r=d / 2 * \sqrt{2}

\cos \alpha=1 / 2 \Rightarrow \alpha=450

Resultant magnitude strength: B=2 B^{*} \cos \alpha=B=u_{0}^{*} 1 /(2 \pi r)=4.24^{*} 10^{-6} T=4.24 u T its direction is pointing to the left.

Note: Refer the image attached below

3 0
3 years ago
What is the highest frequency wave? The lowest frequency wave?
Readme [11.4K]

Answer:

Gamma rays have the highest energies, the shortest wavelengths, and the highest frequencies. Radio waves, on the other hand, have the lowest energies, longest wavelengths, and lowest frequencies of any type of EM radiation.

Explanation:

Hope this helps:)

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Answer:  Kinetic energy is energy in motion. For example would be the energy used or the momentum used to make a car drive down a hill. The kinetic energy of an object is proportional to to the square of its speed.

Explanation:

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if an objects velocity doesn't tell us about the net force on an object, what characteristic of its motion does?
aleksklad [387]
The acceleration of the motion tells us about the net force acting on the body
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3 years ago
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