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Problem: Foreign-language study. Choose a student in a U.S. public high school at random and ask if he or she is studying a language other than English. Here is the distribution of results:
Language
Spanish
French
German
All other
None
Probability
0.30
0.08
0.02
0.03
0.57
(a) Explain why this is a legitimate probability model.
(b) What is the probability that a randomly chosen student is studying a language other than English?
(c) What is the probability that a randomly chosen student is studying French, German, or Spanish?
The technique known as potassium-argon dating is used to date old lava flows and thus any fossilized skeletons found in them, What is the age of a piece of solidified lava
A proton moves perpendicularly to a uniform magnetic field at 5.0 107 m/s and exhibits an acceleration of 1.0 1013 m/s2 in the +x-direction when its velocity is in the +z-direction. find the magnitude and direction of the field.
A jet engine emits sound uniformly in all directions, radiating an acoustic power of 3.23 × 102 kW. If the intensity of the sound at a distance of 40.3 m from the engine is 15.8 W/m^2 calculate the corresponding sound intensity level in dB
Iron atoms have been detected in the sun's outer atmosphere, somewith many of their electrons stripped away. What is the netelectric charge (in coulombs) of an iron atom with 12 protons and 7electrons?
Mars has a mass of 6.42 1023 kg and a radius of 3.40 106 m. Assume it is a uniform solid sphere. The distance of Mars from the Sun is 2.28 1011 m. What is the rotational kinetic energy of Mars on its axis
Bicyclists in the Tour de France do enormous amounts of work during a race. How much work does he do during a 177-km race in which his average speed is 12.7 m/s
A person of mass 80 kg stands at the center of a rotating merry-go-round platform of radius 3.5 m and moment of inertia 920 kg cdot m^2. The platform rotates without friction with angular velocity 0.85 rad/s. The person walks radially to the edge ..
Two waves traveling on a string in the same direction both have a frequency of 141 Hz, a wavelength of .43 m, and an amplitude of .16 m. What is the amplitude of the resultant wave if the original waves differ in phase by n/4 rads?
A pair of narrow slits, separated by 1.8 mm, is illuminated by a monochromatic light source. What is the wavelength of the monochromic light
if one vibration has 5.4 times the energy of a second but their frequencies and masses are the same what is the ratio
A car completes one lap in a time of 19.3 s, with an average translational speed of 45.2 m/s. What is the radius of the track, and what was the car's average angular speed for that lap
ow fast is the shadow of the plane moving along the ground
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