Alice solves every puzzle with probability 0.6 , and Bob, with probability 0.5 . They are given 7 puzzles and each chooses 5 out
1 answer:
Answer:
0.021943
Step-by-step explanation:
Alice solves every puzzle with a probability of 0.6
Bob solves every puzzle with a probability of 0.5
Number of puzzles given = 7
The probability of a puzzle been solved by either Alice or Bob
P = P( A U B ) = P( A ) + P( B ) - P( A n B )
= 0.6 + 0.5 - ( 0.6 * 0.5 ) = 0.8
probability of all 7 puzzles solved = (P( A ))^2 * ( P )^3 * (p(B))^2
= ( 0.6 )^2 * (0.8)^3 * (0.5)^2 = 0.04608
Finally determine the P ( choosing 5 out of 7 for both such that all the 7 are chosen )
attached below is the remaining part of the solution
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Answer: The proof is mentioned below.
Step-by-step explanation:
Here, Δ ABC is isosceles triangle.
Therefore, AB = BC
Prove: Δ ABO ≅ Δ ACO
In Δ ABO and Δ ACO,
∠ BAO ≅ ∠ CAO ( AO bisects ∠ BAC )
∠ AOB ≅ ∠ AOC ( AO is perpendicular to BC )
BO ≅ OC ( O is the mid point of BC)
Thus, By ASA postulate of congruence,
Δ ABO ≅ Δ ACO
Therefore, By CPCTC,
∠B ≅ ∠ C
Where ∠ B and ∠ C are the base angles of Δ ABC.
We can solve this problem by seeing at which part both of the parts of the graphs of the function are discontinued. Both of the parts of the graph of the function are discontinued at -2, so we will have to find a function that has a value that is undefined for x = -2. We can do this using the denominator of the fraction that's in each of the functions. The function where x = -2 will cause it to be undefined is the third one, so the answer to this question is C., f (x) = 
+5.