4. Verbal
1 answer:
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Answer:
The probability that you'll end up with socks that aren't blue is .
Step-by-step explanation:
The pieces of clothing available:
X = {shirt, pants, socks and hat}
The color options:
Y = {purple, blue and orange}
So, if a person picks a shirt he/she has 3 color options.
Similarly for pants, socks and hat there are 3 color options each.
That makes 12 possible pieces of clothing.
That is, there are 12 total options available.
Now, compute the probability of selecting a socks as follows:
Compute the probability of selecting the color blue as follows:
Compute the probability of selecting a socks that are not blue as follows:
Thus, the probability that you'll end up with socks that aren't blue is .
Answer:
This system has no solution:
y = x²
y = 0 · x - 1
Step-by-step explanation:
Hi there!
I propose these two equations:
y = x²
y = 0 · x - 1
This system has no solution because in the quadratic function "y" is always positive for every value of "x", while in the linear function "y" is always -1 for every value of "x". Then, there will not be a pair (x,y) shared by both functions.
In other words, there is no value of "x" that satisfies this expression:
x² = 0 · x - 1
In the attached graphic, you can see that both curves never touch (in red is the quadratic function and in blue is the linear function), hence, the system has no solution.
Have a nice day!
