Answer:
It should be -5/2 for the points (-6,8) (-16,33)
Step-by-step explanation:
x= -8/5
x equals negative 8 over 5
They're not equivalent.
(vertical bars) represents the absolute value of x. How it works is that it turns negative numbers positive but leaves 0 and positive numbers alone (hence it gets a number's distance from 0 on the number line).
![[x]](https://tex.z-dn.net/?f=%5Bx%5D)
(square brackets) usually represents the floor function, which returns the largest integer that is less than or equal to x. (The floor of x can also be written as 
--- it depends on what your textbook/source says).
To solve 
, you first transform it into the equivalent equation 
. Then by definition of absolute value, there are only two solutions for the first equation: x = 10 or x = -10.
[x] = 10 has infinitely many solutions. For example, the floor of 10 is 10, so ![[10] = 10](https://tex.z-dn.net/?f=%5B10%5D%20%3D%2010)
, thus a solution for the second equation is x = 10
The floor of 10.1 is 10, so ![[10.1] = 10](https://tex.z-dn.net/?f=%5B10.1%5D%20%3D%2010)
, thus another solution for the second equation is x = 10.1.
The two equations do not have the same solution set (as x = 10.1 does not solve |x| - 3 = 7 but solves [x] = 10), so they're not equivalent.
X should be 13 not sure about y
Answer:
0.0455
Step-by-step explanation:
<u>The formula for calculator probability is
</u>
# of favorable outcomes / # of possible outcomes
<u>The total number of marbles in the bag: </u>
7+3+2=12
<u>Probability of the first marble being blue:</u>
3/12
<u>Probability of the second marble being blue:</u>
2/11 -- 2 because only 2 blue marbles left after drawing the first one out, 11 because after taking the first marble out, we have 11 marbles left in the bag
<u>Formula for both events happening:</u>
p(A and B) = p(A) * p(B)
In this problem,
A = first one blue
B = second one blue
<u>Probability that if two marbles are drawn out of the bag, both are blue:</u>
3/12 x 2/11 = 0.045454
<u>Rounded answer:</u>
0.0455 (or 4.55%)
