Answer:
The magnitude of the given vector is 40.72 units.
Step-by-step explanation:
The given vector is
We know that for any vector 'r' the magnitude is given by
Comparing with the given vector we have
x = -3
y = 40
z = 7
Thus the magnitude equals
Answer:
<h2>The year is 2010.</h2>Step-by-step explanation:
The population of wolves is given by P(t) = 80(0.98)t.
The study has began in the year of 2000 and will end in 2020.
The difference between 2000 and 2009 is 9 years and the difference between 2009 and 2020 is 11 years.
Hence, the maximum value of t is 11.
The domain is .
The population will be 80, that is P(t) = 80.
Hence, 0.98t = 1, or, t = ≅1.
In (2009 + 1) = 2010, the population of wolves will be 80.
Answer:
0.0158 = 1.58% probability that all of them are under 18.
Step-by-step explanation:
Probability of independent events:
If three events, A, B and C are independent, the probability of all happening is the multiplication of the probabilities of each happening, that is:
The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.
This means that
If one person is selected from each city, what is the probability that all of them are under 18?
Since the three people are independent:
0.0158 = 1.58% probability that all of them are under 18.