Answer:
Step-by-step explanation:
In calculator the answer is 1703.66666667
Let n = required random sample size.
Assume that the population standard deviation is known as σ.
Let m = sample mean.
At the 95% confidence level, the expected range is
(m - k(σ/√n), m + k(σ/√n))
where k = 1.96.
Therefore the error margin is 1.96(σ/√n).
Because the error margin is specified as 3% or 0.03, therefore
(1.96σ)/√n = 0.03
√n = (1.96σ)/0.03
n = 128.05σ²
This means that the sample size is about 128 times the population variance.
Answer:
Smallest sample size = 128.05σ², where σ = population standard deviation.
Answer:
180 degrees per second.
Step-by-step explanation:
We have been given a graph that shows the distance covered by a tire or angular velocity of a tire with respect to the number of seconds (x).
Since we know that a tire is a circle and the measure of all the angles of a circle equals to 360 degrees.
We can see from our given graph that the tire completes one rotation in 2 seconds (2.5-0.5), so the distance covered by tire in two seconds will be 360 degrees. This means that the tire turns 360 degrees in each 2 seconds.
As we are asked to find the degree change by tire per second so we will find the unit rate such that we will have 1 in our denominator. By dividing our numerator and denominator by 2 we will get,
Therefore, the tire is turning 180 degrees per second.
Answer:
90720 ways
Step-by-step explanation:
Since there are 9 letters, there are 9! ways to arrange them. However since there are repeating letters, we have to divide to remove the duplicates accordingly. There are 2 ‘s’ and 2 ‘i’ hence:
Number of way to arrange ‘dissipate’ = 9! / (2! x 2!) = 90720 ways
Hence there are 90720 ways to have the number of dissipate in the letter.
Answer:
84
Step-by-step explanation:
