Answer:
1/18
Step-by-step explanation:
P(Orange AND Red)
= P(Orange socks)*P(Red shirt)
= 1/3*1/6
= 1/18
Answer: OPTION C.
Step-by-step explanation:
1. The domain of the function given in the problem are all those values for which the function that is in the denomiantor is different from zero, because the division by 0 is not allowed.
2. You can make the denominator equal to zero and solve it, as you can see below:

3. Therefore, the domain is:
(-∞,0)U(0,1)U(1,∞)
Answer: The answer is cosine of that acute angle.
Step-by-step explanation: We are to find the ratio of the adjacent side of an acute angle to the hypotenuse.
In the attached figure, we draw a right-angled triangle ABC, where ∠ABC is a right angle, and ∠ACB is an acute angle.
Now, side adjacent to ∠ACB is BC, which is the base with respect to this particular angle, and AC is the hypotenuse.
Now, the ratio is given by

Thus, the ratio is cosine of the acute angle.
Step-by-step explanation:
Since y varies directly with x,
y = kx, where k is a real constant.
When x = 4, y = 32.
=> (32) = (4)k, k = 8.
Therefore when x = -2,
y = kx = (8)(-2) = -16.
Population = 340,000 * (1.0575)^years
Population = 340,000 * (1.0575)^15
<span><span>Population = 340,000 * 2.3131598242
</span>
</span>Population = <span><span><span>786,474</span></span></span>