Answer: a > 4
<u>Step-by-step explanation:</u>
-5 + a > -1
<u>+5 </u> <u>+5 </u>
a > 4
Graph: 4 o-----------→
Interval Notation: (4, ∞)
How many times do 15 minutes fit into one hour? 4 times: 4*15=60 mins.
So that means that 4 times per hour 10 flights appear, and in total 4*10=40 planes arrive over one hour!
This is a binomial distribution where 80% of flights arrive on time (p = 0.8) and 20% do not (q = 1 - 0.8 = 0.2). Then the probability that exactly 2 flights arrive late follows the formula:
(nCr)(p^r)(q^(n-r)), where n = 16 (total # of flights), r = 14 (flights that arrive on time)
(16C14)(0.8^14)(0.2^2) = 0.2111
10)
variable : cost of 1 square foot flooring = x
equation :
60x + 80 = 287
60x = 287 - 80
x = (287-80) / 60
11)
variable : doughnut cost = d
equation :
3(1.25) + 6d = 6.90
3.75 + 6d = 6.90
6d = 6.90 - 3.75
d = (6.90 - 3.75) / 6
12)
variable : smaller number = x
equation :
x + x + 1 = -29
2x + 1 = -29
2x = -29 - 1
x = (-29 - 1) / 2
13)
variable : number of shrubs : n
eqution :
n(25) + 110 = 260
25n = 260 - 110
n = (260 - 110) / 25
14 r.6 -------------------------------------