1) marbles altogether = 3+4=7
P(black) = 3/7
2) P(first black marble)= 3/7
second black marble - When you removed 1st one only 2 black marbles are left and altogether marbles that are left = 6
P(second black marble) = 2/6=1/3
P(2 black marbles without replacement) means black and black marbles without replacement.
P(2 black marbles without replacement) =3/7*1/3=1/7
3) P(first black marble)= 3/7
When you put that black marble back, you got again <span>3 black marbles and 4 red marbles in a bag. So,
</span> P(second black marble)= 3/7
P(2 black marbles with replacement)=3/7*3/7= 9/49<span>
</span>
Correct option is C) A² - B² + BA – AB
Step-by-step explanation:
(A+B)(A−B)=A(A−B)+B(A−B).........because matrix product is distributive.
=A² + BA - AB - B²
And as matrix product is not commutative, so AB¦=¦BA
Hence option C is correct.
First of all, you need to know these two equations:
a^b = c, which also translates into: log a c = b
Now, let us apply these equations here:
a here will stand for 2, b will stand for x, and c will stand for y.
So:
2^x = c, which translates into log2y = x
This means that the equation which is equivalent to y=2x is B. x = log2y
Hello there! Given the equation, we can solve through a series of steps:
1. Convert
In this step, we convert the mixed numbers to make them improper:
2 x 4 + 1 = 9, which means -4 1/2 = -9/2
4 x 3 + 3 = 15, which means -3 3/4 = -15/4
2. Multiply
Now that we have the improper fractions, we can multiply accordingly:
(-9/2 • -15/4) = -135/8
3. Simplify
Since we have our result, we can simplify to a mixed number:
-135/8 = 16 7/8
Your final answer is 16 7/8. Hope this helps!
Step-by-step explanation:
Firstly, there's a typing error at (x=1)². I assume it is (x-1)². If my assumption is correct,then:
x²-2x+1-4x=x²-2x+1
x²-6x+1-x²+2x-1=0
-4x=0
x=0
