Answer:
The probability that the next color will be red is: 
Step-by-step explanation:
The probability of an event is defined as:
Probability=(Total number of favourable outcomes)/(Total number of outcomes )
Here we have to find the probability that the next colour is red is given by:
<em>The recordings are given as:</em>
B R Y R R R R Y R B R R
Number of outcomes that red will come up=8
Total number of outcomes=12
Hence the probability is given by:

Answer:
<em>D. a vertical transformation of f(x) four units downward</em>
Step-by-step explanation:
f(x) = |x|
In f(x), for every x value you input into x, you get a corresponding y value.
Now look at g(x) = |x| - 4
The part |x| of g(x) gives you the same y-value for each x value as you had in f(x). The part -4, makes each y-value 4 less than it was in f(x). Since every y-value is 4 lower than the corresponding y-value of f(x), the function g(x) is a vertical translation of f(x) four units downward.
Answer:
The height of parallelogram is 
Step-by-step explanation:
Area of parallelogram =
Area of parallelogram = 
Base of parallelogram = x+3
So, 

Hence The height of parallelogram is 
Answer:
Y=30
Step-by-step explanation:
D+E+F+G=360
D+F=360-106-84=170
D+F=Q+S
Y+38+3Y+12=170
4Y=170-50=120
Y=30
X=4 ..............................