(n + 4)!n!

#2  A single  die is rolled three times. Determine the probability that the sum virus  of the three rolls is less than 100 given that the first roll is a  76.   You must show all of your work for full marks

what is the additive principle formula

these are the math scores below

5 7 9 6 10 8 7 9 2 3 4 7 7 6

part one: find the standard deviation

part two: How would I find... If only scores that are 1 standard deviation above the mean are considered for prizes, how

many prizes would be handed out?

Factor completely using the factor theorem. f(x)= x^4+8x^2+4x^2-48x

how are the technologies that produce incandescence and luminescence different 

Expand using the general term

(2x-1/x^2)^7

‘Sam and the Matheletes Band’ can play eight Dad-Rock songs, six Show Tunes and four Electro-

Pop songs. In how many ways can Sam’s band choose three pieces to play if Mr. Kassil wants to hear

at least 2 of either Dad-Rock and/or Electro-Pop? (Example selections: all Electro-Pop, all Dad-

Rock, 1 of each etc...)

The ages of 180 patients in ONA last Sunday are normally distributed with μ=25 yrs old and σ=8.5 yrs. What percent is older than 30 yrs old? What percent is younger than 35 yrs old? How many are younger than 10 yrs old? How many are between 12 yrs old and 28 yrs old? How many are between 32 yrs old and 40 yrs old?

A student decides to go hiking. First, he walks 6.0 km [E] in 2.0 h, then he walks 8.0 km [N] in 4.0 h. Because he is tired, he takes the bus home. Calculate his average velocity while walking. [10]