There are 5 blue, 4 red, 6 magenta, and 3 yellow chips in a bag. One chip is selected at random and then a second is chosen with
out replacement. Find the probability that the second event will occur.
a) The second was red given that the first was blue.
b) The second was yellow given the first was magenta.
c) The second was green given that the first was red.
d) The second was red given the first was not red.
a) The second was red given that the first was blue.
b) The second was yellow given the first was magenta.
c) The second was green given that the first was red.
d) The second was red given the first was not red.
1 answer:
You might be interested in
Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Right Triangles</u>
In any right triangle, i.e., where one of its internal angles is 90°, some interesting relations stand. One of the most-used is Pythagora's Theorem.
In a right triangle with shorter sides a and b, and longest side c, called the hypotenuse, the following equation is satisfied:
The image provided in the question shows a line passing through points A(0,4) and B(3,0) that forms a right triangle with both axes.
The origin is marked as C(0,0) and the point M is the midpoint of the segment AB. We have to prove.
First, find the coordinates of the midpoint M(xm,ym):
Thus, the midpoint is M( 1.5 , 2 )
Calculate the distance CM:
CM=2.5
Now find the distance AB:
AB=5
AB/2=2.5
It's proven CM is half of AB
= - 3
with
= 4
To find the next term in the sequence multiply the previous term by - 3
the common ratio r = =
= - 3
=
× r ← recursive formula