Answer:
I believe it would be 90
Step-by-step explanation:
Answer:
The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046
Step-by-step explanation:
Probability is the likelihood or chance of an event occurring. Probability can be determined using the formula below
Probability = Number of favorable outcome / Total number of possible outcomes.
From the question, we are to determine the probability of reaching into the box and randomly drawing the chip numbered 170.
Here, the number of favorable outcome is 1 (which is the chip numbered 170)
Total number of possible outcomes is 216 ( all the 216 identical plastic chips)
Therefore,
Probability = 1/216 or 0.0046
This is the probability of randomly drawing the chip numbered 170.
The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046
Answer:C 36x^2
Step-by-step explanation:Just took the test on edge.
Answer:
We take v in the vector space V different from 0. Since v is not 0, then
![< v,v>_1 \, >0 \, ;, _2 \, >0](https://tex.z-dn.net/?f=%3C%20v%2Cv%3E_1%20%5C%2C%20%3E0%20%5C%2C%20%3B%2C%20%3Cv%2Cv%3E_2%20%5C%2C%20%3E0)
Lets take k>0 such that
![_2 \, = k*\, _1](https://tex.z-dn.net/?f=%20%3Cv%2Cv%3E_2%20%5C%2C%20%3D%20k%2A%5C%2C%20%3Cv%2Cv%3E_1%20)
Now, we take any vector w. We want to show that
.
Since v is any non-zero vector, then this will prove that
for any vectors a,b. The reason is that for any vector different from 0, lets name it x, there will exist a constant
such that
for any y (this is for the same reason a constant exists for v). Since y can be anything, then it can be v. But that means that
, because v also has its constant k.
Now, lets show that
. Lets take a constant c such that
. We have that
![0 = _2 - c* _2 = _2](https://tex.z-dn.net/?f=%200%20%3D%20%3Cv%2Cw%3E_2%20-%20c%2A%20%3Cv%2Cv%3E_2%20%3D%20%3Cv%2C%20w-cv%3E_2%20)
Thus
![_1 = 0](https://tex.z-dn.net/?f=%20%3Cv%2Cw-cv%3E_1%20%3D%200%20)
Which means that
![0 = _1 = _1 - c_1](https://tex.z-dn.net/?f=%200%20%3D%20%3Cv%2Cw-cv%3E_1%20%3D%20%3Cv%2Cw%3E_1%20-%20c%3Cv%2Cv%3E_1%20)
Which means that
. As a consequence
![_2 = c _2 = ck*_1 = k * _1](https://tex.z-dn.net/?f=%20%3Cv%2Cw%3E_2%20%3D%20c%20%3Cv%2Cv%3E_2%20%3D%20ck%2A%3Cv%2Cv%3E_1%20%3D%20k%20%2A%20%3Cv%2Cw%3E_1%20)
Which proves what we were looking for.