Answer:
2/3
Step-by-step explanation:
To be able to find what the total fraction of bagels eaten, the fractions need to have common denominators. To do this, you multiply 1/4 by 3 in both the numerator and the denominator. Now that the two fractions have the same denominator, you can add the fraction's numerator to get the total fraction, 8/12. However, 8/12 can be simplified more, so you divide by 4 and end up with 2/3.
These angles are supplementary.
Complementary angles add up to 90 degrees. Supplementary angles add up to 180 degrees. 82 degrees + 98 degrees = 180 degrees.
1/6 because the first number that you roll doesn't matter so it depends on the 2nd roll, in which the probability of rolling a specific number is 1/6
One person being nervous around strangers is assumed independent of other people behaviour. Then, the multiplication rule can be applied as
both nervous = 0.14*0.14 = 0.0196 = 1.96%
one is nervous, one is not nervous = 0.14*(1-0.14) = 0.1204 = 12.04%
At least one nervous = 1.96% + 12.04% = 14%