To do this count up total number of marbles
3 green + 4 blue + 2 red + 1 black + 5 yellow + 4 brown = 19 in total
There are 4 blue marbles
So chance you pick 1 blue marble the first time is 4/19
Then since you replace the marble and the chance you pick another is 4/19
To get the probability of this happening you simply multiple 4/19 by 4/19
4/19 • 4/19 = 16/361
Answer:
This problem is asking you to use angle relationships (vertical angles, supplementary angles) to solve this problem.
Step-by-step explanation:
1. The vertical angles between ∠1 & ∠2 are equal, so find the value of x using an equation that sets them as equal to each other.
4x - 48° = x + 30°
2. These two vertical angles are supplementary to ∠1 & ∠2 on their corresponding sides (∠1 & x + 30°, ∠2 & 4x - 48°). Subtract the value of x from 180°, which is the degree of a straight line.
180° - x = ∠1
Will these help with you finding your answer??
Given a complex number in the form:
The nth-power of this number,
, can be calculated as follows:
- the modulus of
is equal to the nth-power of the modulus of z, while the angle of
is equal to n multiplied the angle of z, so:
In our case, n=3, so
is equal to
(1)
And since
and both sine and cosine are periodic in
, (1) becomes