Tom bought a computer for 15% off from the list price of p dollars. If the sales tax was 8%, how much did he pay for the compute
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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: The required length of the segment AA' is 11 units.
Step-by-step explanation: Given that the point A(5, 11) is reflected across the X-axis.
We are to find the length of the segment AA'.
We know that
if a point (x, y) is reflected across X-axis, then its co-ordinates becomes (x, -y).
So, after reflection, the co-ordinates of the point A(5, 11) becomes A'(5, -11).
Now, we have the following distance formula :
The DISTANCE between two points P(a, b) and Q(c, d) gives the length of the segment PQ as follows :
Therefore, the length of the segment AA' is given by
Thus, the required length of the segment AA' is 11 units.