There is a relationship between confidence interval and standard deviation:

Where

is the mean,

is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first:

When we do all the calculations we find that:

Now we can find confidence intervals:

We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
Answer:
C. (-1.5, 8.875)
Step-by-step explanation:
on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by
p = (nx1 + mx2/ m+n, ny1+my2/m+n)
_______________________________________________
Given point
A (-9, 4) and B (11, 17)
ratio 3:5
m:n = 3:5
m+n = 3+5 = 8
coordinate of point p that partition AB
x = (5*-9 + 3*11) / 5+3 y = (5*4 + 3*17) / 5+3
x = (-45 + 33) / 8 y = (20 + 51) / 8
x = (-12) / 8 y = (71) / 8
x = -3 / 2 = -1.5 y = 8.875
Thus, coordinate of point p is (-1.5, 8.875).
Answer:
Step-by-step explanation:
The given triangle is a right angle triangle.
The distance between the first bed and the bird watcher on the ground represents the opposite side of the right angle triangle.
The distance between the birdwatcher and the second bird is 47 feet. This represents the hypotenuse of the right angle triangle. To determine the angle of depression, x degrees, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin x = 34/47 = 0.723
x = Sin^-1(0.723)
x = 46.3 degrees to the nearest tenth.
Given:
The graph of a function
.
To find:
The interval where
.
Solution:
From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So,
for
and
.
The function between x=0 and x=3.6 lies below the x-axis. So,
for
.
Now,
For
, the graph of h(x) is above the x-axis. So,
.
For
, the graph of h(x) is below the x-axis. So,
.
For
, the graph of h(x) is below the x-axis. So,
.
Only for the interval
, we get
.
Therefore, the correct option is A.
Word Form: Seven hundred ten thousand two hundred.