Morse code uses "dots" and "dashes," which are known to occur in the proportion of 3: 4. this means that for any given symbol, p(dot sent) = 3/7 and p(dash sent) = 4/7. unfortunately, when coded messages are sent, there are sometimes errors in transmission. suppose there is interference on the transmission line, and with probability 1/8 a dot is mistakenly received as a dash, and vice versa. a) what is the probability that the received symbol is a dot?

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.