[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
ANSWER

EXPLANATION
Coterminal angles are angles in standard position that have the same terminal side.
To find an angle in standard position that is coterminal with

We add or subtract multiples of

The first addition gives,

We add the second multiple to get,

Since this is the maximum value among the options, we end the addition here.
Let us now subtract the first multiple to get,

We end the subtraction here because this is the least value among the options.
Therefore the angles that are coterminal with

are
Answer:
6-16y
Step-by-step explanation:
2(3-8y)
3(2)-8y(2)
6-16y
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Option 1: $50
Option 2: $12.50 per hour.
50 ÷ 12.50 = 4
Paul can choose the hourly wage if he works more than 4 hours.
For example, he works 5 hours.
12.50 x 5 hours = 62.50
$62.50 is higher than the fixed rate of $50. Thus, hourly wage is the better option.