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Using the given probabilities of individual events, find the probabilities that the specified combinations of those events will occur:
1. If the school cafeteria serves meat loaf, there is a 70% chance that they will serve peas. If they do not serve meat loaf, there is a 30% chance that they will serve peas anyway. The students know that meat loaf will be served exactly once during the 5-day week, but they do not know which day. If tomorrow is Monday, what is the probability that
a) the cafeteria serves meat loaf?
b) the cafeteria serves meat loaf and peas?
c) the caferteria serves peas?
2. Piano Lessons
If it rains tomorrow, the probability is .8 that John will practice his piano lesson. If it does not rain tomorrow, there is only a .4 chance that John will practice. Suppose that the chance of rain tomorrow is 60%. What is the probability that John will practice his piano lesson?
Describe all terms used as well as listing the steps and Show how the Pythagorean theorem helps to find distances in 2 and 3 dimensions.
A truck can be rented from Company A for $110 a day plus $0.50 per mile. Company B charges $50 a day plus $0.80 per mile to rent the same truck. How may miles must be driven in a day to make the rental cost for Company A a better deal than Company..
How many gallons were consumed by each of the two cars that week.
The sample results were x= 357.5, s= 117.29. Logger working on the road claims the skidding distance is at least 400 meters. Is there sufficient evidence to refute this claim?
Prove that there cannot be a nilpotent group N generated by two elements with the property that every nilpotent group generated by two elements is a homomorphic image of N
Use this information to construct a 98% confidence interval to estimate the mean number of pages for the population of medium-sized company policy books.
An irrigation canal has the shape of a trapezoid. Let x = the bottom width, y = the water depth, and theta = the angle of inclination of the sides from the horizontal.
show all work. Last fall, a gardener planted 60 iris bulbs. She found that only 45 of the bulbs bloomed in the spring.
The dimensions of a closed rectangular box are measured as 90 cm, 65 cm, and 34 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
the manager of 100 apartments knows that at $600 rent per month, all apartments will be rented. For each $25 increase, one apartment will not be occupied. Let x represnt the number of $25 increases to the rent. Write the revenue as function of x.
two tracking stations are on the equator 162 miles apart. a weather ballon is located on a bearing of n 43 from the western station and on a bearing of n 22 e from the eastern station. how far is the ballon from the western station? Round to the n..
two straight roads intersect to form an angle of 75. find the shortest distance from one road to a gas station on the other road 1000 ft from the junction.
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