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KatRina [158]
3 years ago
14

Factor completely 3x^5-75x^3=

Mathematics
1 answer:
KiRa [710]3 years ago
7 0

Answer:

\huge\boxed{3x^5-75x^3=3x^3(x-5)(x+5)}

Step-by-step explanation:

3x^5=3\cdot x^{3+2}=3\cdot x^3\cdot x^2=\boxed{3x^3}\cdot x^2\\\\75x^3=25\cdot\boxed{3x^3}\\\\3x^5-75x^3=3x^3(x^2-25)=3x^3(x^2-5^2)\\\\\text{Use}\ a^2-b^2=(a-b)(a+b)\\\\=3x^3(x-5)(x+5)

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Suppose a basketball player has made 217 out of 302 free throws. If the player makes the next 3 free throws, I will pay you $23.
Anna [14]

Answer:

-$0.90

Step-by-step explanation:

There are only two possible outcomes, winning $23 (W) or losing $15 (L). Therefore:

P(W) + P(L) = 1

The probability of the player making his next 3 free throws (P(W)) is:

P(W) = \frac{217}{302}*\frac{217}{302}*\frac{217}{302}\\P(W) = 0.37098

The probability of the player NOT making his next 3 free throws (P(L)) is:

P(L) = 1 - P(W) = 1 - 0.37098\\P(L) = 0.62902

Expected value (EV) is given by the payoff of each outcome multiplied by its probability:

EV = (23*0.37098) -(15*0.62902)\\EV = -\$0.90

The expected value of the proposition is -$0.90

6 0
2 years ago
HELPP! FIRST ONE WHO ANSWERS GETS BRAINLIEST
a_sh-v [17]

Answer:

Alina will get $54

Step-by-step explanation:

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7 0
3 years ago
Name the consecutive (same side) exterior angles and interior angles
konstantin123 [22]

Answer:

<u> Consecutive Interior Angles </u>

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2 years ago
Which of the following represents a first step in solving the equation (x-6)^2=9?
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closest one is A

answer is A
3 0
3 years ago
Do y'all know which one it is if so tell me and plz explain why.
irina1246 [14]

its equal to because if you do +50-50 and keep going it will always go back to 0. Hope this helps! :D

5 0
3 years ago
Read 2 more answers
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