Find the complex conjugate of Z = a + 2i + 3ib
1 answer:
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Answer:
The rate at which the total personal income was rising in the Richmond-Petersburg area in 1999 is $1.627 billion per year
Step-by-step explanation:
Let be the number of years after 1999.
From the information given:
- In 1999, the population in this area was 961400, and the population was increasing at roughly 9200 people per year.
- The average annual income was 30593 dollars per capita, and this average was increasing at about 1400 dollars per year.
The population growth can be modeled with a linear equation. The initial population was is 961400 and it grows by 9200 people per year.
The population in time t can be written
The average annual income can be modeled with a linear equation. The initial average annual income was 30593 dollars per capita and it grows by 1400 dollars per year.
If we multiply both together gives the total personal income at time t.
The rate at which the total personal income was rising in the Richmond-Petersburg area is the derivative
We need to use the Product Rule that says
If f and g are both differentiable, then:
Applying the Product Rule
For 1999, t = 0.
The raising is
The rate at which the total personal income was rising in the Richmond-Petersburg area in 1999 is $1.627 billion per year.
Answer:
19.74% of temperatures are between 12.9°C and 14.9°C
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
What proportion of temperatures are between 12.9°C and 14.9°C?
This is the pvalue of Z when X = 14.9 subtracted by the pvalue of Z when X = 12.9.
X = 14.9
has a pvalue of 0.2420
X = 12.9
has a pvalue of 0.0446
0.2420 - 0.0446 = 0.1974
19.74% of temperatures are between 12.9°C and 14.9°C