Find total ounces mixed for each flower:
Daisies = 2+5 = 7 ounces
Tulips = 3 +6 = 9 ounces
Now find the ratio of purple to white for each one:
Daisies = 5/7 = 0.714
Tulips = 6/9 = 0.666
Daisies have more purple so would be the darker ones.
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)}
Find the amount of tax money she needed to pay
7% of 17.50
=7/100 * 17.50
=122.50/100
=1.22
Find the final sales price
17.50+1.22 = 18.72
6a + 5 + x + 7x - 2a
Combine like terms.
4a + 5 + 6x
Answer:
all angles must add up to 180 to be a trapizoid so if they dont add up then its irregular
Step-by-step explanation:
