1/6
This is because the probability of pulling a red is 1/3. Multiply that by itself to find the chance of repeating.
Answer:
C. 70
Step-by-step explanation:
In the expansion of (a + b)^n, the k-th term is ...
nCk·a^(n-k)b^k . . . . . k = 0 to n; nCk = n!/(k!(n-k)!)
Here, we have n=8, k=4, so the term of interest is ...
8C4·x^4y^4 = (8·7·6·5)/(4·3·2·1)x^4y^4 = 70x^4y^4
The coefficient of the term is 70.
Answer:
Because it's not a quadratic function.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
You cannot conclude that ΔGHI is congruent to ΔKJI, because although you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K), we don't know the side lengths.
All the angles could be congruent, but the sides might be different. For example, ΔGHI might be a bigger triangle than ΔKJI, which could make them similar to one another, but not congruent.
For something to be congruent to another, everything must be exactly the same.
For this case we have the following equation:
We apply distributive property on the left side of the equation:
We simplify the left side of the equation:
Different signs are subtracted and the major sign is placed.
On the right side we must take into account that:
So:
We add x to both sides of the equation:
We subtract 2 from both sides of the equation:
We multiply by 3 on both sides of the equation:
We divide by 8 on both sides of the equation:
Thus, the solution of the equation is:
Answer: