Math Answers

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.

Let P (x) be the statement "x can speak Russian" and let

Q(x) be the statement "x knows the computer language

C++." Express each of these sentences in terms of P (x),

Q (x), quantifiers, and logical connectives. The domain

for quantifiers consists of all students at your school.

{x/x is an integer such as x² =2}

A random variable x has a mean 4 and a standard deviation of 2.what is the corresponding z-score for x=7

A Region of land 50meters by 40meters is to cross diagonally by a road 15meters wide. What is the roads area?

Four coins are tossed. Let A be the random variables representing the numbers of heads that occur. Find the values of the random variables A.

How many rows appear in a truth table for each of these

compound propositions?

a) (q -+ -'p) v (-'P -+ -.q)

b) (p v -.t) /\ (p v -'s)

c) (p -+ r) V (-,s -+ -.t) v (-,u -+ v)

d) (p /\ r /\ s) V (q /\ t) V (r /\ -.t)

The BRIT Sports Bar sells a large quantity of Guinness every Saturday. From past records, the pub has determined the following probabilities for sales:

  Number of Crates (X) P(x)

18 0.15

19 0.10

20 0.32

21 0.05

22 0.13

23 0.25

a.   Verify that this [P(x)] is a probability distribution.                              

e.   Calculate the variance of the distribution?                                         

f.    Determine the standard deviation of the distribution?