Answer:

Step-by-step explanation:
step 1
Find the slope of the given line
we have

isolate the variable y

The slope of the given line is

step 2
Find the equation of the line that goes through the point (1,5) and is parallel to the given line
Remember that
If two lines are parallel then their slopes are equal
therefore
we have


substitute in the equation of a line in slope intercept form


solve for b

substitute

<h3>Part 1:</h3>
So firstly, remember that the <em>a variable is the initial value.</em> Since we start off with 6.08 billion, <u>6.08 billion is the a variable.</u>
Next, since this is a <em>growth by 1.26%</em>, add 1 and 0.0126 (1.26% in decimal form) together to get 1.0126. <u>1.0126 is the b variable.</u>
Putting it together, <u>the function is
</u>
<h3>Part 2:</h3>
Since 2020 is 20 years from 2000, plug in 20 into the t variable of the prior function to solve:

In context, <u>in 2020 the population will be 7.81 billion.</u>
Answer:
18.14% probability that you would get at least 12 questions correct.
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 problem, we have that:

What is the probability that you would get at least 12 questions correct?
This is 1 subtracted by the pvalue of Z when X = 12. So



has a pvalue of 0.8186.
So there is a 1-0.8186 = 0.1814 = 18.14% probability that you would get at least 12 questions correct.
(3 + (4 * i)) * (6 + (8 * i)) =
-14 + 48 i