Reference no: EM13998285
1: In Pottsylvania, the license plates on cars are made up of 7 characters. capital letters may be used as well as the digits from 0-9. The first three must be digits, the next two must be letters, the sixth character must be a digit, and the final character be may be either a letter or a digit.
If letters may be repeated but digits may not, how many license plates are possible?
2: A couple is planning on having 3 children. Using B for boy and G for girl, calculate the following:
a) The sample space of all possible birth orders. (Notes: Order matters. list them out
b) The probability that all three children are of the same sex.
c) The probability that an even number of boys is born.
3: A survey was taken amongst people about their food preferences the results were:
37 like pizza
33 like ice cream
34 like eclairs
20 like pizza and eclairs
18 like pizza and ice cream
14 like ice cream and eclairs
15 preferred different food choices
a) Draw and fill out a Venn diagram that represents this problem?
b) Based on your Venn diagram, how many people liked exactly 1 of the offered choices?
c) if a person were picked at random, what is the probability that they like at least 2 of the choices offered?
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Find the time taken until the ball hits the ground
: Find the time taken until the ball hits the ground. Find velocity of the ball when it hits the ground. If the ball had been projected at 10 ms-1 instead of 30 ms-1, what would its final velocity when it hits the ground have been?
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What is the entropy change to reach equilibrium
: Assume instead that the containers are pistons that are thermally isolated but still allowed the container to change volume. The pressure on the other side of the piston is always 1 atm=1.01 X 10^5 Pa. What is the change in entropy in reaching equ..
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How would such an inclusion impact the ordering policies
: Case Study Northcutt Bikes: The Service Department. Use the available data to develop inventory policies (order quantities and reorder points) for the FB378 and GS131. Assume that the holding cost is 20% of unit price
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Describe a food or agriculture issue
: We might classify the world's water problems in two main categories: issues of quantity and issues of quality. Some of the world's water problems could be categorized as both. Describe what each means.
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How many license plates are possible
: Include a screen shot of your parent population and your two distributions of sample means and how are your two distributions of sample means similar? How are they different?
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Find the effective spring constant of the system
: Find the effective spring constant of the system. The glider is now released from rest at x= 0.190 m. Find the maximum x-acceleration of the glider. Find the x-coordinate of the glider at time t= 0.450T, where T is the period of the oscillation.
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What other factors other than costs should pagoda consider
: What other factors, other than costs, should Pagoda consider? How would you weigh these factors? Given the above, how might you use a weighted-point evaluation system should Pagoda consider
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What is the magnitude of the magnetic field required
: A rectangular loop with dimensions (horizontal 0.25 m) x (vertical 0.575 m) is suspended by a string and the lower horizontal section of the loop is immersed in a magnetic field. If a current of 3.5 A is maintained in the loop, what is the magnitu..
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Determine the frequency of sound reflected from the cell
: A red blood cell travels at speed 0.400 m/s in a large artery. A sound of frequency 2.00 x106 Hz enters the blood opposite the direction of flow. The speed of sound in the blood is 1500 m/s. Determine the frequency of sound reflected from the cell an..
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