<span>seven less than (-7) than the product of twice a number (2x) is greater than (>) five more than (+5) the same number (x)
2x-7>x+5
treat the > sign as an equals for now
2x-7=x+5
subtract x from both sides
x-7=5
add 7 to both sides
x=12
put the > sign back in
x>12</span>
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:
see below
Step-by-step explanation:
Plot the points on the given graph. The ones that fall in on a solid line at the edge of the doubly-shaded area, or fall in the doubly-shaded area, are part of the solution set.
(0, 4) on the dashed line — not a solution
(-2, 4) on red line in blue area — solution
(0, 5) in doubly-shaded area — solution
(–2, 7) in doubly-shaded area — solution
(–4, 1) in blue area — not a solution
(–1, 1) on red line outside blue area — not a solution
(–1.5, 3.5) in doubly-shaded area — solution
134+28= 162. So m ABC=162 degrees