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Runners. In a study of exercise, a large group of male runners walk on a treadmill for 6 minutes. After this exercise, their heart rates vary with mean 8.8 beats per five seconds and standard deviation 1.0 beats per five seconds. This distribution takes only whole-number values, so it is certainly not Normal. What is the approximate probability that x ¯ is between 9 and 9.5 when measuring for 12 intervals?
The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2pi radians = 1 revolution
In what month does more of the payment go towards principal than to interest? 2. In what month is the loan half-paid? 3. If an extra $1000 is added to the final payment each year, how long does it take to pay off the loan?
Consider the recurrence relation an = 3an-1 + 5n. (a) Write the associated homogeneous recurrence relation. (b) Find the general solution to the associated homogeneous recurrence relation. (c) Find a particular solution to the given recurrence rel..
Rewrite the following logarithmic expressions as a single logarithmic term with a base of 4. List any restrictions that apply to your simplifications.
The Voyager 1 spacecraft launched in 1977 by NASA as reached the edge of the solar system. Traveling at the speed of light, 300,000 km/sec, it takes approximately 13 hours for the signal transmitted by the spacecraft to reach the Earth. How far is..
An investment grows by 23% over a 3-year period. What is its effective annual percent growth rate?
Assuming absolute PPP holds, what is the cost in the United States of an Elkhead beer if the price in Canada is Can $2.55? (Round your answer to 3 decimal places.
A flagpole is n feet tall. On this flag pole we display flags of the following types: red flags that are 1 foot tall, blue flags that are 2 feet tall and green flags that are 2 feet tall.
A brief summary of one example of your choosing. Then, analyze from a public health point of view, which type of error you think would be worse in your given example. Finally, describe how to adjust the power of your test to limit that type of..
At t= π/4, determine the vector r→'(t) X r→''(t). (First derivate crossed with second derivate) At t= π/4, find the unit tangent and the principal normal vectors T(t) and N(t).
A recent article suggested that if you earn $25,000 a year today and the inflation rate continues at 3 percent per year, you'll need to make $33,598 in 10 years to have the same buying power.
A graph is outerplanar if it can be embedded in the plane so that every vertex lies on the boundary of the exterior region. Prove the following:
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