Probability is the mathematics of chance. In other words, it is the fraction or percentage of a certain event successfully happening. For this problem, you want to determine the probability of selecting 9, 10, 11, 12, 13 or 14 girls. The solution is as follows:
P = nCr p^r q^n-r
where
n is number of total events (n = 14)
r is the number of events that could happen (9, 10, 11, 12 ,13 and 14)
p is the probability of an event being a girl (p = 50% or 0.5)
q is the probability of either an event being a boy (q = 1-p = 0.5)
nCr is a combination formula which is n!/(r!(n-r)!)
P = [14C9* (.5)^9 * (0.5)^5]+ [14C10* (.5)^10 * (0.5)^4]+[14C11* (.5)^11 * (0.5)^3]+[14C12* (.5)^12 * (0.5)^2]+[14C13* (.5)^13 * (0.5)^1]+[14C14* (.5)^14 * (0.5)^0]
P = 0.211 or 21.1%
This is a system of equations problem, so we need two equations to represent each case:
5s+5L=155
10s+12L=346
Now we isolate one of the variables.
5s = 155 - 5L
s = 31 - L
Now we substitute s in the other equation with this equation.
10(31-L) + 12L = 346
310-10L + 12L = 346
2L = 36
L = $18
Now to find s we need to plug L into one of the equations.
10s + 12(18) = 346
10s + 216 = 346
10s = 130
s = $13
A large box costs$18 and a small box costs $13
Hope this helps.
Answer:
D.$315
Step-by-step explanation:
$450=100%
100%-20%-10%=70%
$450×70%=$450×70/100
=$315
If g*f.(3.5) Mean G of F of 3.5, then the answer I got is 9.25. If not, sorry
Answer:
9 * 10^4 is 300 times larger than 3 * 10^2
Step-by-step explanation:
Here, we want to compare the two figures and give the verdict on how big they are
as we can see, by squaring the second figure, we get the first
Mathematically, what we are saying is that;
(9 * 10^4) = (3 * 10^2)^2
So
basically, the difference between the two is to the tune of (3 * 10^2)
Hence we can conclude that the first number is 300 times bigger than the second number
