Math Answers

Show that p > q and (p A q) V (-p ^ ¬q are logically equivalent.

It is required that the production cost must be less than R 123 505. Determine the possible number of devices that will be produced. Show your solution graphically. Use interval notation and indicate the restriction on the number type of your answer. Interpret your answer.​

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.

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?

Let fn(x) = cosnx/√ n , x belong to R, is not pointwise convergent. True or false with full explanation

To qualify for a police academy, candidates must score in the top 10% on a general abilities test. The test has a mean of 200 and a standard deviation of 20. Find the lowest possible score to qualify to be accepted into the academy. Assume the test scores are normally distributed.