Answer:
A sample size of 6755 or higher would be appropriate.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error M is given by:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
52% of Independents in the sample opposed the public option.
This means that 
If we wanted to estimate this number to within 1% with 90% confidence, what would be an appropriate sample size?
Sample size of size n or higher when
. So







A sample size of 6755 or higher would be appropriate.
Answer:
125
Step-by-step explanation:
Well if 10 x 50 is 500 (just to show how you get doesn't affect problem) you would simply divide by 4 thus, you get 125 (edit: sorry if this is wrong I'm in my first year of middle lol)
Answer:
x = 4
Step-by-step explanation:
This is special right triangles
For the triangle on the bottom, the shorter leg is x, the longer leg is x * √3, and the hypotenuse is x *2. This means that the shorter leg is 2 since you the longer leg is that side multiplied by √3. The hypotenuse is x *2, which is 2 * 2 which equals 4.
Now we have one side of the bigger triangle. This triangle is a 45-45-90 triangle, and the rule is that the two legs are x, and the hypotenuse is x *2. Since we found a leg and not the hypotenuse of the bigger triangle, and the two legs are congruent, that means x is 4.
It is 12 it’s is 12 it has to be 12
Let the two numbers be x and y.
Given,
x + y = 23
x = 23 - y
Also given,
y = 2x - 1
y= 2(23 -y) -1
y = 46 - 2y - 1
3y = 45
y = 15
x = 23 - y = 23 - 15 = 8
Hence, the two numbers are 15 and 8.