What is the value of x in the equation 4x – 2(x + 3) = 8? Show ALL steps in the space below:
2 answers:
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Answer:
The probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.
Step-by-step explanation:
We have 10 possible outcomes on a single throw.
So, outcomes in 3 throws = outcomes.
Let x be the number of strictly increasing arrangements.
Let y be the number of strictly decreasing arrangements.
Let z be the number of outcomes that are neither strictly decreasing nor strictly increasing
So, we have
If we look at a strictly increasing arrangement from the other/opposite side, it will look like a strictly decreasing arrangement.
So, x = y
Hence, we can say the final equation will be :
And for strictly increasing arrangements ,all 3 numbers will be different and it can be done in 10C3 ways.
10C3= = 120 ways
So,
Thus
So, the probability is =
Therefore, the probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.
Answer:
62.34
Step-by-step explanation:
Substitute n = 0 to n = 5 into the expression and sum the terms, that is
3 [ +
+
+
+
+
]
= 3 [ 1 + +
+
+
+
]
= 3( )
= 3 × 20.781
= 62.34 ( to the nearest hundredth )