Answer:
a) What is the probability that we will pick a blue ball?
there is a 50% chance that urn 1 will be selected and the possibility of a blue ball is 3/4 x 0.5 = 1.5/4
there is also a 50% chance that urn 2 will be selected and the possibility of a blue ball is 2/4 x 0.5 = 1/4
the probability of choosing a blue ball = 1.5/4 + 1/4 = 2.5/4 or 5/8
b) If we picked a blue ball, what is the probability that the selected urn was urn-1?
there are 5 blue balls in total, and 3 of them come from urn 1
c) Suppose we picked a blue ball. If we randomly pick one additional ball from the same urn, what is the probability that we pick a red ball?
there is a 50% chance that urn 1 will be selected, and the possibility of a red ball after a blue ball is 1/3 x 0.5 = 0.5/3
there is also a 50% chance that urn 2 will be selected and the possibility of a red ball after a blue ball is 2/3 x 0.5 = 1/3
the possibility of choosing a red ball after a blue ball = 0.5/3 + 1/3 = 1.5/3 = 1/2
I think it would be B. hope this helps
Answer:
<em>1 : 2</em>
Step-by-step explanation:
<u>First situation</u>
sides of triangle:-
a=x, b=2x, c=3x
then perimeter = a+b+c
perimeter = x + 2x + 3x
<em>Perimeter = 6x</em>
<u>Second situation(sides are doubled)</u>
sides of triangle:-
a=2x, b=4x, c=6x
then perimeter = a+b+c
perimeter = 2x + 4x + 6x
<em>Perimeter = 12x</em>
<u>Ratio of first situation to second </u>
Perimeter of first situation : Perimeter of second situation
6x : 12x
<em>1 : 2</em>
Answer:
x = 8
Step-by-step explanation:
small triangle is similar to larger one
set up a proportion: <u> 9 </u> = <u> x + 4 </u>
9+12 x+4+2x
<u> 9 </u> = <u> x+ 4 </u> cross-multiply: 9(3x + 4) = 21(x + 4)
21 3x + 4 27x + 36 = 21x + 84
6x + 36 = 84
6x = 48
x = 8
Answer:
Neither
Step-by-step explanation:
The function is neither because if it was even it would follow the rules of:
and if it was odd it would follow the rules of:
but instead it follows the rule: