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X 3,5,7
p(3) =7/30 , p(5) = 1/3, and p(7) = 13/30
The differential equation \((x+y-3z)\frac{\partial z}{\partial x}+(3x+4y) \frac{\partial z}{\partial y}+2z=x+y\) is
Construct all random samples consisting three observations from the given data. Arrange the observations in ascending order without replacement and repetition 86 89 95 98
- Identify if the statement is a tautology, contradiction, or contingency.
- Show that are logically equivalent.
You will explore the wonderful world of descriptive statistics. You may not have noticed how often you are presented with statistics in the media and in everyday conversations. It is common for people to make statements like “Statistics show that… [insert claim].”
What sorts of follow up questions about the statistics might you ask that person in order to obtain the data needed to make a decision about the validity of that statement?
{x/x is an integer such as x2 =2}
Write the expression as a single logarithm.
4log6x-1/5 log6z + 2log6y
A circular oil spill has a radius of 2 miles. After a day, the radius of the oil spill increases by 3 miles. By how many square miles does the area of the oil spill increase? Round to the nearest thousand, if necessary
show in a truth table that p↔q and (p^q) v (¬p^¬q) are logically equivalent.
The most dangerous aspect of the procedure is the possibility that the body may reject the new organ. Several new drugs are available for such circumstances, and the earlier the drug is administered, the higher the probability of averting rejection. The Journal recently reported the development of a new urine test to detect early warning signs that the body is rejecting a transplanted kidney. However, like most other tests, the new test is not perfect. When the test is conducted on someone whose kidney will be rejected, approximately one out of five tests will be negative (i.e., the test is wrong). When the test is conducted on a person whose kidney will not be rejected, 8% will show a positive test result (i.e., another incorrect result). Physicians know that in about 35% of kidney transplants the body tries to reject the organ. Suppose that the test was performed and the test is positive (indicating early warning of rejection). What is the probability that the body is attempting to reject the kidney?
