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Alona [7]
3 years ago
11

Is the following an identity or have no solution. 2(a-4)=4a-(2a+4)

Mathematics
2 answers:
mamaluj [8]3 years ago
6 0
You multiply everything in the parenthesis by the number outside.
In this case its 2 and -1. the first part is 2a-8 the second part is 4a -2a+16a
so it looks like this 2a-8=4a-2a+16a.
combine like terms and get 2a-8=18a.
Subtract the other 2a from the other side and you have 8=16a
divide each side by 16 and you have 8/16 which is one half. 
Sati [7]3 years ago
4 0
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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MariettaO [177]

Answer:

a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %

Step-by-step explanation:

a. This is a binomial probability.

Let q = probability of giving out wrong number = 15 % = 0.15

p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75

For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹

= 10(0.15)(0.75)⁹

= 1.5(0.0751)

= 0.1126

= 11.26 %

b. At most one wrong is P(x ≤ 1) = P(0) + P(1)

= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹

= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹

= 0.0563 + 0.01126

= 0.06756

= 6.756 %

≅ 6.76 %

Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.

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