X is greater than or equal to 8
x is greater than or equal to 2
<h3>
Answer: 17/24</h3>
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Explanation:
We have these four cases or possible outcomes
- Case 1) We select 0 black marbles and 3 red marbles.
- Case 2) We select 1 black marble and 2 red marbles.
- Case 3) We select 2 black marbles and 1 red marble.
- Case 4) We select 3 black marbles and 0 red marbles.
Let's calculate the probability for case 4.
There are 7 black marbles out of 10 total. The probability of picking black is 7/10. If no replacement is made, then 6/9 is the probability of picking black again (subtract 1 from the numerator and denominator separately). Finally, 5/8 is the probability of getting black a third time.
The probability of getting 3 black marbles in a row is
(7/10)*(6/9)*(5/8) = (7*6*5)/(10*9*8) = 210/720 = 7/24.
That fraction 7/24 means that if you had 24 chances, then you expect about 7 of them will lead to getting three black marbles in a row (aka case 4). Therefore, 24-7 = 17 occurrences are expected where we get cases 1 through 3 occur in some fashion (pick one case only).
Notice how cases 1 through 3 encapsulate the phrasing "at most 2 black marbles" which is another way of saying "2 black marbles is the highest we can go".
So that's why the answer is 17/24.
Factoring an expression involves rewriting the expression in simplier form
The factored expression of 
is 
<h3>How to factor the expression</h3>
The expression is given as:
Factor out 5x from the expression
Factor out y^2 from the expression
Hence, the factored expression of is
Read more about factorized expressions at:
brainly.com/question/723406
Answer:
-1
Step-by-step explanation:
Answer:
q= 4xp - 2p² - 4x + 3
p=
Step-by-step explanation:
2x² - 4x + 3 = (x -p) + q
OPEN BRACKET:
2x² - 4x + 3 = 2(x² - 2xp + p²) + q
2x² - 4x + 3 = 2x² - 4xp + 2p² + q
-4x + 3= 4xp + 2p² + q
-q = -4xp + 2p² + 4x - 3
q = 4xp - 2p² - 4x + 3
