Answer:
1.1 yd
Step-by-step explanation:
120 × π/180 = 2π/3
2.3 = r × 2π/3
=> r = 2.3 ÷ 2π/3
=> r ≈ 1.1
Answer:
80 movies must be streamed.
Step-by-step explanation:
To find the average cost, you must divide the total cost by the number of movies watched.
When you watch 1 movie, you pay the initial fee of $80 plus a $4 purchase of the film.
The equation is shown as such:
average cost = (total cost)/(number of movies)
Your total cost can be represented as
, while the number of movies is represented as
.
You want the average to equal 5, so your equation is shown as follows:

simplifying this, we get

which can then be simplified to

X = 80 movies.
To find the sum of the interior angles of a nonagon, divide it up into triangles... There are seven triangles... Because the sum of the angles of each triangle is 180 degrees... We get
7 * 180 = 1260°
So, the sum of the interior angles of a nonagon is 1260 degrees.
Answer:
So then the minimum sample to ensure the condition given is n= 38
Step-by-step explanation:
Notation
represent the sample mean for the sample
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
ME = 4 the margin of error desired
Solution to the problem
When we create a confidence interval for the mean the margin of error is given by this formula:
(a)
And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is
. And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got
, replacing into formula (b) we got:
So then the minimum sample to ensure the condition given is n= 38