Error-correcting codes and the probability of transmitting a message without errors

(a) a communication channel flips each transmitted bit with probability 0.02. the event that one bit is flipped is independent of the event that any other subset of the bits is flipped.

a 100-bit message is sent across the communication channel and an error-correcting scheme is used that can correct up to three errors but expands the length of the message to 110 bits. what is the probability that there is an error in the message after the message has been transmitted?

Solve each equation using the quadratic formula. find the exact solutions. 6n^2 + 4n - 11

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.

Igure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: 4 quadrant coordinate grid showing two parallelograms. figure 1 has vertices at negative 5, 2 and negative 3, 4 and negative 4, 7 and negative 6, 5. figure 2 has vertices at 5, negative 2 and 7, negative 4 and 6, negative 7 and 4, negative 5. which two transformations can map figure 1 onto figure 2? reflection across the y-axis, followed by reflection across x-axis reflection across the x-axis, followed by reflection across y-axis reflection across the x-axis, followed by translation 10 units right reflection across the y-axis, followed by translation 5 units down