Answer:
Option B) (-1,7,5) is correct.
The solution to the given system of equation is (-1,7,5)
Step-by-step explanation:
Given system of equations are
To find the solution of the given system of equations by using Elimination method:
Now adding equations (1) and (2)
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(since "-" getting cancelled)
Now adding equations (1) and (3)
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Now adding equations (4) and (5)
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Therefore y=7
Substituting y=7 in equation (4)
Therefore x=-1
Now substituting the values x=-1 and y=7 in equation (1) we get
Therefore z=5
Therefore the solution to the given system of equation is (-1,7,5)
Therefore Option B) (-1,7,5) is correct.
Answer:
A. no
B. see below
C. KL = 14
Step-by-step explanation:
A. AA similarity requires two angles in one triangle be congruent with two angles in the other. Here, only one angle is marked in each triangle, so AA similarity cannot apply.
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B. See the explanation given in Part A.
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C. The triangles are similar because corresponding sides are proportional (and the angle between them is congruent). The sides that correspond are the ones on either side of the marked angle. The sides in the larger triangle JKL are double the measure of the sides in the smaller triangle GHI. Hence, for HI = 7, KL = 2·7 = 14.
Answer:
Step-by-step explanation:
From the given information:
The price reduction = 98% = 0.98
![Then \ the \ expected \ payoff \ = \[(probability \ of \ matching \ price \ reduction \ * \ size \ of \ loss \ from \ price \ cuts \ ) \ + \ ( \ probability \ o f \ rivals\ not \ matching \ * \ gain \ from \ price \ cuts )]](https://tex.z-dn.net/?f=Then%20%5C%20%20the%20%5C%20%20expected%20%20%5C%20payoff%20%20%5C%20%3D%20%20%5C%5B%28probability%20%5C%20%20of%20%5C%20matching%20%5C%20price%20%5C%20%20reduction%20%20%5C%20%2A%20%20%5C%20size%20%5C%20of%20%5C%20%20loss%20%20%5C%20from%20%5C%20%20price%20%5C%20%20cuts%20%5C%20%29%20%5C%20%20%2B%20%20%5C%20%28%20%5C%20probability%20%5C%20%20o%20f%20%5C%20%20rivals%5C%20%20not%20%5C%20%20matching%20%20%5C%20%2A%20%5C%20%20gain%20%5C%20from%20%5C%20%20price%20%5C%20%20cuts%20%20%29%5D)
where;
P(rival not matching ) = (100 - 98)% = 2%
P(rival not matching ) = 0.02
The expected payoff = [(0.98 * -800) + (0.02*50000)]
The expected payoff = [( -784+ 1000)]
The expected payoff = 216
(b) Probability of rivals reducing price = 5%
= 5/100
= 0.05
∴
Probability of rivals reducing price = 1 - 0.05 = 0.95
The expected payoff = (0.05 * -6000) + (0.95 *0)
The expected payoff = -300 + 0
The expected payoff = -300
(c) Yes.
Based on answers (a) and (b), the firm should cut the price.
1,3,5,7,9,11,13,14,15,17,19 11 numbers
