If A and B are independent, then
.
a.



b. I'm guessing the ? is supposed to stand for intersection. We can use DeMorgan's law for complements here:



c. DeMorgan's law can be used here too:



Answer:
B (√6)/4
Step-by-step explanation:
The smallest multiplier that will make the denominator of the fraction into a perfect square is 2, so you have ...

_____
Answer choice D is also a correct rationalization of the denominator, but is not simplified as far as it can be. √24 = 2√6, so a factor of 2 can be cancelled from numerator and denominator, giving answer choice B.
Answer:
y < 2X - 1
y = 2X - 1
Step-by-step explanation:
Let's try to make an equation from the worded problem.
"is Less than " means <
2 times means 2 * X
= 2X
y < 2X - 1
y = 2X - 1
Answer:
Option B: 3x + 3y - 3
Step-by-step explanation:
In an isosceles triangle, the two congruent sides are equal.
We are told the base is; x - y - 2 units
Now let each of the congruent sides be represented as A.
Thus the perimeter equation will be;
P = 2A + x - y - 2
Now, we are told that the perimeter is; 7x + 5y - 8 units
Thus;
7x + 5y - 8 = 2A + x - y - 2
Rearranging gives;
7x - x + 5y + y - 8 + 2 = 2A
2A = 6x + 6y - 6
Divide through by 2 to give;
A = 3x + 3y - 3 units
Answer:
It rained 1.29 inches in 3 hours
Step-by-step explanation:
<u>Step 1: Make an equation for the word problem</u>
It rained 0.43 inch each hour. What was the total amount of rainfall in 3 hours
0.43n
<u>Step 2: Plug in 3 for n</u>
0.43n
0.43(3)
1.29
Answer: It rained 1.29 inches in 3 hours