Answer:
tan(x)=512 can be thought of as the ratio of opposite to adjacent sides in a triangle with sides 5,12 and 13 (where 13 is derived
Step-by-step explanation:
Answer:
x = 1/3
Step-by-step explanation:
Step 1: Write equation
8x + 11 = 14 - 1x
Step 2: Solve for <em>x</em>
- Simplify: 8x + 11 = 14 - x
- Add x to both sides: 9x + 11 = 14
- Subtract 11 on both sides: 9x = 3
- Divide both sides by 9: x = 3/9
- Simplify: x = 1/3
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
8(1/3) + 11 = 14 - 1(1/3)
8/3 + 11 = 14 - 1/3
41/3 = 41/3
Answer:
The probability that there are 8 occurrences in ten minutes is
option B. 0 .0771
Step-by-step explanation:
Given:
Random Variable = x
Mean number of occurrences in ten minutes is 5.3.
The probability of an occurrence is the same in any two time periods of an equal length
To Find:
The probability that there are 8 occurrences in ten minutes = ?
Solution:
Let X be the number of occurrences of the event X


Possion of distribution is given by ,

Substituting the values,



P(X=8) = 0.0771