By knowing that p and 2/3 are additive inverses, we will see that p = -2/3
So two numbers A and B are additive inverses if:
A + B = 0
Here the two numbers are p and 2/3, so we have:
2/3 + p = 0
Solving this for p gives:
p = -2/3
Then the value of p is just -2/3.
Now, I can't "drag and drop" the labels in the given image, so I will post a little graph of where each point should be:
If you want to learn more about additive inverses, you can read:
Answer:
95.15%
Step-by-step explanation:
We have that the mean (m) is equal to 20, the standard deviation (sd) 3
They ask us for P (x <25)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / sd
We have all these values, replacing we have:
z = (25 - 20) / (3)
z = 1.66
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <1.66) = 0.9515
Which means that the probability that it arrives before 25 minutes is 95.15%
