Answer:
I don't know if the math is right but I think the answer is<u> 0</u>
[1] 0.25, 0.25%, or 
We will divide the number of wanted outcomes by possible outcomes.

[2]
We will follow the same steps as problem 1.
MTHMTCS = 7 consonants
AEAI = 4 vowels
MTHEMTICS = 9 letters that are not A's
MATHEMATICS = total of 11 letters
(a)

(b)

(c)

[3] 0.877
If the probability that a television is defective is 0.123, then the probability that a television is not defective is:
1 - 0.123 = 0.877
They are all like-terms so you can add 7y+3y which equals 10y. Then subtract 10y-17y and you get a negative number; -7y
We need to look at 2 similar triangles
1) big one: legs - a,b, and hypotenuse - c
2)small one: legs - h,s, and hypotenuse - b.
Corresponding sides:
hypotenuse - c and hypotenuse - b,
big leg - b and big leg - s,
small leg - a, and small leg h.
?(/b(big leg, big triangle)= b(hypotenuse, small triangle )/s (big leg, small triangle)
? should be hypotenuse of the big triangle, c.
Answer is second one c.
Original line equation: y=-4x+4
Perpendicular lines have opposite reciprocals, so the slope of the perpendicular line would be 1/4x.
Perpendicular line equation: y=1/4x+b
Plug in the coordinates that the line passes through to solve for b. Plug -8 in for x and 2 in for y.
2=1/4(-8)+b
Multiply.
2=-2+b
Add 2 to both sides.
4=b
Equation of the perpendicular line: y=1/4x+4
Hope this helps! :)