I hope this helps you out.
Answer:
First Option 
Step-by-step explanation:
To graphically add two vectors a and b using the -tail and tip-method, you must draw the tail of b at the tip of the vector a. Then you must draw a line that goes from the tail of a to the tip of b. This line represents the sum of
.
In this problem, notice that the tail of the vector w is on the tip of the vector v. The line that joins the tail of v with the tip of w is u.
Therefore we can say that
.
The answer is the first option
<span>To find the confidence interval, add and subtract the margin of error from the mean.
With mean 18.7 and margin of error 5.9, you have 95% confidence the answer is between 12.8 and 24.6.</span>
<span>Try simplifying the number to start. For example, if the population of the town is 100 people and the population growth is 2%, then there will 102 people in the town next year (Y=1). Continue adding 2% to the population for each of 10 years to get the answer for the 10th year. Growth would be considered 100% of current population plus 2% additional for a total of 102% - convert 102% to to a factor and you will have your formula Y=15,200*1.02;18,529</span>
The rate of change of the risk of down syndrome (in percentage of births per year) is
r(x) = 0.004641x² - 0.3012x + 4.9, 20≤ x ≤ 45
where
x = maternal age at delivery.
The function giving risk as a percentage of births when maternal age is x is the integral of r(x). That is,
f(x) = 0.001547x³ - 0.1506x² +4.9x + c
When x = 30, f = 0.14%. Therefore
0.001547(30³) - 0.1506(30²) + 4.9(30) + c = 0.14
41.769 - 135.54 + 147 + c = 0.14
c = -53.089
Answer:
f(x) = 0.001547x³ - 0.1506x² + 4.9x - 53.089, 20 ≤ x ≤ 45
The function is graphed as shown below.