Answer:
n=601
Step-by-step explanation:
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Since we don't have a prior estimation for the proportion we can use 0.5 as estimation. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=601
Answer:
<h2>2 + 2i</h2>
Step-by-step explanation:
![i-\text{imaginary\ unit}\\\\i=\sqrt{-1}\to i^2=-1\\\\=====================](https://tex.z-dn.net/?f=i-%5Ctext%7Bimaginary%5C%20unit%7D%5C%5C%5C%5Ci%3D%5Csqrt%7B-1%7D%5Cto%20i%5E2%3D-1%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![\dfrac{10-10i}{-5i}=\dfrac{10}{-5i}+\dfrac{-10i}{-5i}=\dfrac{(10)(i)}{(-5i)(i)}+2=\dfrac{10i}{(-5)(i^2)}+2\\\\=\dfrac{10i}{(-5)(-1)}+2=\dfrac{10i}{5}+1=2i+2=2+2i](https://tex.z-dn.net/?f=%5Cdfrac%7B10-10i%7D%7B-5i%7D%3D%5Cdfrac%7B10%7D%7B-5i%7D%2B%5Cdfrac%7B-10i%7D%7B-5i%7D%3D%5Cdfrac%7B%2810%29%28i%29%7D%7B%28-5i%29%28i%29%7D%2B2%3D%5Cdfrac%7B10i%7D%7B%28-5%29%28i%5E2%29%7D%2B2%5C%5C%5C%5C%3D%5Cdfrac%7B10i%7D%7B%28-5%29%28-1%29%7D%2B2%3D%5Cdfrac%7B10i%7D%7B5%7D%2B1%3D2i%2B2%3D2%2B2i)
The zeroes of this function are 15 and -6
Determine a relationship between the x- and y- values. write an equation.
x =1 2 3 4
y = 4 5 6 7Step One: Determine two coordinates written as (x,y)
(1,4) (2,5)
Step Two: Use the formula
Step Three: Simplify to identify the slope
Step Four: Plug your slope (m) into the equation y=mx+b
y = 1x + b
Step Five: Using a coordinate of your choice, plug x and y in to their respective places. (I'm using (1,4))
4 = 1*1 + b
Step Six: Simplify
Step Seven: Isolate b
Step Eight: Rewrite your equation
y = 1x + 3
OR
y = x + 3
(It's more likely you'll see it written the second way)
Click to let others know, how helpful is it
Read more on Brainly.com - brainly.com/question/387370#readmore
Answer:
15.75
Step-by-step explanation:
If you look at this as a trapezoid, the ratio of the sides AH to PT is 3:2, so just use this ratio for the other parts. 10.5*3/2=15.75