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.
Multiply straight across (neg times a neg = a positive)
=28/81
Answer:
71°
Step-by-step explanation:
- 84+(2x-1)+(x+8)+(x+5)=360 [angles in a quadrilateral add to 360°]
- 4x+96=360 [combine like terms]
- 4x=264 [subtract 96 from both sides]
- x=66 [divide both sides by 4]
So, angle A measures 66+5=71°
Answer:
3/4
Step-by-step explanation:
Answer:
The sum of two even numbers is even and greater than the addends.
Step-by-step explanation:
Let 2n and 2m be two even numbers.
The sum of these numbers is
Use distributive property:
This number is even because 2 is its factor.
Note that
Thus, correct option is:
The sum of two even numbers is even and greater than the addends.