The least common multiple of 2 5 6 9 would be 90
We know that the probability of picking a nervous person is 0.2. This implies that the probability of picking someone who is not nervous is 0.8.
When we pick a sample of two people, we multiply the probabilities of each single person. So, the possible outcomes and their respective probabilities are:
- Both people not nervous:
- First person nervous, second person not nervous:
- First person not nervous, second person nervous:
- Both people nervous:
Out of these four scenarios, the last three correspond to the description "at least one of the two is nervous". So, we have to sum their probability:
Alternatively, and probably more easily, we could solve this problem by complementary probability: we know that if event has probability , then the negation of has probability .
So, the negation of "at least one person is nervous" is "none of the two is nervous". We know that the probability of "no nervous people" is 0.64 (see above), so the probability of its negation (at least one nervous) is
Use the following formula, with n = the number of sides.
Your weight: x lb
Friend's wt.: 86 lb
Max wt. allowed: 263 lb
Then x + 86 ≤ 263, with x in lb. You could weigh a max. of 177 lb and still be able to go on this ride.
Answer:
x<em> </em>+ 2y - 3.5
Step-by-step explanation:
<u>Because the only operation to be used is addition, the parentheses can be taken away:</u>
(x - 5) + (2y - 3.5) + (-x + 5)
x - 5 + 2y - 3.5 + -x + 5
<u>Addition of negative numbers is subtraction:</u>
<u />x - 5 + 2y - 3.5 + -x + 5
x - 5 + 2y - 3.5 - x + 5
<u>Combine like terms to find the furthest simplification of the equation:</u>
<u />x - 5 + 2y - 3.5 - x + 5
x - 5 + 2y - 3.5 + 5
x + 2y - 3.5
<u>Finally, simplify the coefficient of x:</u>
x + 2y - 3.5
x + 2y - 3.5
(x - 5) + (2y - 3.5) + (-x + 5) =<u> </u><u>x + 2y - 3.5</u>