Answer:
area of trapezium in terms of x=1/2*x(x+3+x+1)
Step-by-step explanation:
72 people. Multiply 8 times one and a half, and then by six.
Answer:
15m below sea level
Step-by-step explanation:
Given data
Distance of eagle from sea= 20m
Distance of fish from eagle = 35m
Required
The distance of the fish from below the sea level
= 35-20
= 15m
Hence the fish is 15m below sea level
This problem can be solved from first principles, case by case. However, it can be solved systematically using the hypergeometric distribution, based on the characteristics of the problem:
- known number of defective and non-defective items.
- no replacement
- known number of items selected.
Let
a=number of defective items selected
A=total number of defective items
b=number of non-defective items selected
B=total number of non-defective items
Then
P(a,b)=C(A,a)C(B,b)/C(A+B,a+b)
where
C(n,r)=combination of r items selected from n,
A+B=total number of items
a+b=number of items selected
Given:
A=2
B=3
a+b=3
PMF:
P(0,3)=C(2,0)C(3,3)/C(5,3)=1*1/10=1/10
P(1,2)=C(2,1)C(3,2)/C(5,3)=2*3/10=6/10
P(2,0)=C(2,2)C(3,1)/C(5,3)=1*3/10=3/10
Check: (1+6+3)/10=1 ok
note: there are only two defectives, so the possible values of x are {0,1,2}
Therefore the
PMF:
{(0, 0.1),(1, 0.6),(2, 0.3)}
$ 105
Suave gets $ 35 a day, but he realized he got $ 7 for every table he waited for.
= $ 35/7
= 5 .... He waited for 5 tables
which gets $ 7 for any table worth it
= 15 tables × $ 7
= $ 105
