First find the common denominator. In this case, you would want to use 32. So, 1/4 = 8/32. So, an ant is 8/32 of an inch and an aphid is 3/32 of an inch. Now to find the difference, you subract. 8/32 - 3/32 = 5/32. So the answer is, the ant is 5/32 of an inch longer.
Equalizw the denominators so that the nominators will be equal in this wat sonyou can find the value of x if you want i can solve it
Answer:
a. 
b. 
Step-by-step explanation:
Theoretical probability is what we expect to happen and experimental probability is what actually happens.
a. In theoretical probability, it doesn't matter what happened in the past. So basically we want to know the probability of rolling a 3 when a number cube is rolled.
There are 6 faces (from 1 to 6) in a number cube. And there is 1 "3". So the probabilty of rolling a 3 is:
1/6
b. In experimental probability, we need to know what happened before. When the cube was rolled 450 times, it came up "3", 67 times.
Hence the experimental probabilty of rolling a "3" is:
67/450
Answer: f^{-1}(x) = 3-x/3
Step-by-step explanation: Let y = f(x) and rearrange making x the subject, that is...
1. y = - 3x + 3 ( add 3x to both sides )
2. 3x + y = 3 ( subtract y from both sides )
3. 3x = 3 - y ( divide both sides by 3 )
4. x = 3-y/3
Change x back into terms of y
f^{-1}(x) = 3-x/3
Y° = y₁° (opposite or Vertical angles), but y₁ = 45° corresponding angles,
then y = 45°