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Consider the market defined by the following demand (Pd) and supply (Ps) functions:
Pd=100−3Q and Ps=17+1,5Q,
where P and Q are the price and quantity respectively. What are the producer and consumer surplus of the product respectively? (Round off your final answer to the nearest integer.)
A rock is thrown horizontally from the top of a cliff 88 m high, with a horizontal speed
of 25 m/s.With what velocity does the rock hit?
It is claimed that the average age of working students in a certain university is 35 years. A researcher selected a random sample of 49 working students. The computation of their ages resulted to an average of 32 years with a standard deviation of 10 years. Does this mean that the average age of the working students is different from 35 years? Use 0.05 level of significance and assure normality of population.
The average length of time for student to register summer classes at a certain university has been 50 minutes with a standard deviation of 10 minutes. A new registration procedure using modern computing machine is being tried. If a random sample of 12 students had a n average registration of 42 minutes with a standard deviation of 11.9 minutes under the new system, test the hypothesis that the population mean is now less than 50 minutes. (critical value is +/- 1.796)
A population consists of the elements 3, 5, 7, 8, and 10. What is the population variance?
Round off your answer to the nearest hundredths.
An automobile is pushed 120 inches by a woman exerting 80 lbs of force horizontally on the vehicle. How much work does she do (a) in ft ⋅ lb and (b) in joules?
A box is pulled across a level floor a distance of 0.1 km. Given that 2.0 kJ of work was done in overcoming friction, what was the average friction force?
A force of 3.0 N acts through a distance of 12m in the direction of the force. Find the work done.
Solve the given problems
1. A population consists of the four numbers 1. 2. 4 and 5. List all the possible
samples of size n = 3 which can be drawn with replacement from the population
Find the following
a Population mean
b. Population variance
c. Population standard deviation
d. Mean of the sampling distribution of sample means
e. Variance of the sampling distribution of sample means
f Standard deviation of the sampling distribution of sample means
A sushi store offers 10 flavors of sushi and 3 types of sashimi. How many combinations of sushi and sashimi can a customer choose from?
#340153 on Dec 2023