Pizza Co. has recently received complaints about the inconsistent amount of cheese on their pizza slices. Michelle, the manager, finds out that the amount of cheese on a slice of pizza is uniformly distributed from 1 to 5 ounces. Find the probability that there is less than 2.5 ounces of cheese on a slice of pizza. Round to 3 decimal places.

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a.this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b.this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )

Prove that every odd prime number can be written as a difference of two squares.prove also that this presentation is unique.is such presentation possible if p is just an odd natural number? can 2 be represented this way?

answers

\3. yes the presentation (i.e. odd numbers being written as differences of two squares) is possible for all odd natural number however the presentation may not be unique. for example,  57=112−82=292−28257=112−82=292−282.

\4. 2 can't be written as a difference of two squares because 4-1=3 and 1-1=0 and the difference of squares grows to integers larger that 3.

can i get some in proving questions 1 and 2?