manuel has $15 to spend. on apps and music. Apps cost $2 each and songs cost $1 each. If x represents the number of apps purchased and y represents the number of songs purchased, write a linear equation that represents the combination of apps and songs manuel can purchase.

Which of the greatest common gcf of 32 and 48 a 16 b 96 c 8 d 32

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable