The probability of extracting a Yellow marble followed by a Blue marble is 2/45 if the bag of 10 Marbles has the following composition: Red – 3 Green – 4 Blue – 2 Yellow – 1
<h3>What is probability?</h3>
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Total number of marbles = 3+4+2+1 = 10
P(Yellow) = 1/10
P(Blue) = 4/9
Probability of extracting a Yellow marble followed by a Blue marble:
= (1/10)(4/9)
= 4/90
= 2/45
Thus, the probability of extracting a Yellow marble followed by a Blue marble is 2/45 if the bag of 10 Marbles has the following composition: Red – 3 Green – 4 Blue – 2 Yellow – 1
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Answer:
The lines would be parallel.
Step-by-step explanation:
If you moved both points from the first line over 2 and down 1 you would get the second line. Because your moving both points the same way they would never intersect.
Answer:
X = 50
Step-by-step explanation:
(5x - 100) + (x - 20) = 180 (sum of angle on a straight line is = 180)
5x + x -100 -120 = 180
6x - 120 = 180
6x = 180 + 120
6x = 300
x = 300/6
x = 50
For y
3y + y + 140 = 180
4y = 180 -140
4y = 40
y = 40/4
y = 10
Let 
denote the given sequence with 
:
Let 
be the sequence of the forward differences of , so that 
for :
follows an arithmetic progression with a difference of 2 between terms, so that
Then we have
so that is given recursively by
By substitution, we can try to find a pattern:
and so on, with the general pattern
and since 
we can write this as
Recall that
Then
Answer:
The quadrilateral is a trapezoid
