Determine bearing and distance of ship from starting point
A ship leaves port on the bearing N70(degree)E at the speed of 10 knots. After 4 hours, it makes the 90(degree) turn toward North and proceeds two hours to take some surrounding. Determine bearing and distance of the ship from its starting point.
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Solve trigonometric equation (sin x)(2cos x-1) = 0 in interval [0,360°). Compute exact value of sin^-1 (sin 5pi / 6). Compute exact value of cos^-1 (tan 5pi / 4).
Consider the manufacture of Grandmother's Fudge Nut Butter Cookies. Grandmother has noted that the number of nuts in a cookie is a random variable with a Poisson mass function and that the average number of nuts per cookie is 1.5.
The telephone pole is 65 feet tall. Guy wire 90 feet long is attached from ground to top of pole. Determine angle between wire and pole to nearest degree.
The number of arrivals at the gallery is Poisson distribution with the average of 4.5 people per hour. Determine the probability that between 10 and 14 people (inclusive) will arrive in the next 4-hour period.
After 4 hours, it makes the 90(degree) turn toward North and proceeds two hours to take some surrounding. Determine bearing and distance of the ship from its starting point.
Determine the joint probability function for X1 and X2. What are the marginal probability functions for X1 and X2? Are X1 and X2 independent random variables?
A high school counselor wants to examine whether the teenage pregnancy rate at her school is different from the rate nationwide. She knows that the rate nationwide is 15 %.
Points (8,-5) and (2,1) are endpoints of diameter of the circle. Determine the exact length of diameter? Simplify as much as possible.
What statistical test should be employed to examine the data? Identify H0 and Ha for this study. Conduct the appropriate analysis.
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