Write a program to calculate simple integral?
A region-wide aptitude test in Mathematics was conducted to 500 pupils. The mean of the test is 85 and the standard deviation is 15. The scores also approximate a normal distribution. Estimate the range of the scores that will include the middle 75%of the distribution.
Identify and explain the type of error in the sentence below
I) Neither the station master nor the drivers (have/has) the right way
A Hotel in Ville has 1,000 rooms , and the hotel charge customer $ 100 . All the hotel rooms are always rented in any given day . a . To raise revenue , the governor decides to charge hotels a tax of $ 10 per rented room . After the tax is imposed , the price for hotel rooms rises to $ 108 , and the number of rooms rented falls to 900. Calculate the amount of revenue this tax raises for Ville and the deadweight loss of the tax . b . The governor now doubles the tax to $ 20 . The price rises to $ 116 , and the number of rooms rented falls to 800. Calculate tax revenue and deadweight loss with this larger tax . Are they double , more than double , or less than double your answers in part ( a ) ? Explain .
Find the general solutions of the following differential equations using D-operator methods:
(D^2 - 2D + 5) y = x + 5
The f:[ 3,13] to R defined by f(x)= [ x-3]- 13 is continuous function. True or false with full explanation
Show that the set
X= [1,5]U[6,9]U[15,30] is an compact subset of R
Every montonically increasing sequence are convergent. True or false with full explanation
Ophthalmology Glaucoma is an eye disease that is manifested by high intraocular pressure (IOP). The distribution of IOP in the general population is approximately normal with mean =16mmHg and standard deviation 3 mmHg. a. If the normal range for IOP is considered to be between 12 and 20 mmHg, then what percentage of the general population would fall within this range? b. If the top 5% of IOP is considered to be in danger range, then what minimum value of danger range? c. What is the 85% percentile of IOP?