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Semmy [17]
4 years ago
9

Simplify:(y²+z²) -2yz​

Mathematics
1 answer:
VMariaS [17]4 years ago
5 0

Answer:

  (y-z)^{2}

Step-by-step explanation:

  (y^{2}+z^{2} ) -2yz\\\\y^{2} +z^{2} - 2yz\\\\y^{2} +2yz + z^{2}\\\\(y-z)^2\\

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1. Fill in the blank:
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3 years ago
Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a CD player. Let A1 be the ev
Furkat [3]

Answer:

2.063X10^-4

0.999

0.833

3.26X10^-3

9.85x10^-3

Step-by-step explanation:

B="At least one component needs service during the warranty period"

C="All three components need service during the warranty period"

D="Only the receiver needs service during the warranty period"

E="Exactly one of the three components needs service during the warranty period"

P(A1)=0.0595

P(A2)=0.0598

P(A3)=0.058

a) P(A1∩A2∩A3)=P(A1)P(A2)P(A3)=0.0595*0.0598*0.058=2.063X10^-4

b) P(B)=1-P(A1∩A2∩A3)=1-2.063X10^-4=0.999

c) P(C)=P(A1'∩A2'∩A3')=P(A1')P(A2')P(A3')=0.9405*0.9402*0.942=0.833

d) P(D)=P(A1'∩A2∩A3)=P(A1')P(A2)P(A3)=0.9405*0.0598*0.058=3.26X10^-3

e) P(E)=P(A1'∩A2∩A3)+P(A1∩A2'∩A3)+P(A1∩A2∩A3')=3.26X10^-3 + 0.0595*0.9402*0.058+0.0595*0.0598*0.942=9.85x10^-3

6 0
4 years ago
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