Suppose y= cot x is our parent function then remember general rules of transformation.
1) y= -f(x), reflects the graph of f(x) across x-axis.
2) y= cf(x), stretches the graph of f vertically by factor of c , for c >1.
Now, apply these rules to y= -4 cot(x)
the -ve sign reflects the graph of cot(x) across x-axis and the number 4 will stretch it vertically by 4 units.
The graph of both parent function (y=cot x ) and transformed function (y= -4 cot(x)) are attached below.
1) The formula used for determining the confidence interval is
Sample mean +/- Critical value (or z-score corresponding to 90% confidence) * Standard
error of mean
8439 +/- 1.645 * 100/sqrt 25
8439 +/- 1.645 * 20
8439 +/- 32.9
2) The only difference in this case is finding the critical value i.e., z-score corresponding to 92% confidence which is 1.75 approximately
Then the confidence interval is
8439 +/- 1.75 * 100/sqrt 25
8439 +/- 1.75 * 20
8439 +/- 35
Lower limit is 8439 - 35 = 8404
The upper limit is 8439 + 35 = 8474
Answer:
two-fold
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Line a</u>
- y = 5x - 6, it has slope of 5
<u>Line b</u>
<u>Rewrite in slope-intercept form to find its slope:</u>
- 5y = -x + 5
- y = -1/5x + 1
- It has slope of -1/5
Lines have different slopes: 5 and -1/5, therefore are not parallel
S= R- 1/3R
The first problem s=18 r-= 6
This is how it works
Use S-= R-1/3R
12= 18-1/3(18)
12= 18-6
12=12
