Answer:
NO = 20
Step-by-step explanation:
If the pieces are in the ratio of 3:1:5 and the whole thing is 36, then set up an equation:
3x + 1x + 5x = 36
and solve, see image.
Given Information:
Population size = N = 210
Mean height of women population = μ = 64.4 in.
Standard deviation of height of women population = σ = 2.9 in.
Sample size = n = 36
Required Information:
Sample mean = μx = ?
Sample standard deviation = σx = ?
Answer:
Sample mean = μx = 64.4 in.
Sample standard deviation = σx = 0.44 in.
Step-by-step explanation:
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
The mean of the sample will be same as population mean that is
μ = μx = 64.4 in
Whereas the sample standard deviation is given by
Where σ is the standard deviation of height of women population, N is the population size and n is the sample size.
The term is known as finite population correction factor and is used since the sampling is done without replacement.
Therefore, the standard deviation of sample is 0.44 in.
Answer:
Step-by-step explanation:
See the figure.
The right triangles has legs of lengths 9 and 7.
Answer:
Option C.
Step-by-step explanation:
(the two angles sum to the angle of a straight line: )
(sum of interior angles of triangle is )
∴ Option C is correct.
Hope this helps :)
TLDR: 241 clients will be taking +3 vacations.
This is a common example of representative scale size, or sample size. In selecting a small amount of people at random from a larger group, one can estimate the amount of people in the large group picking a specific answer based on a smaller, but proportionate, group size.
In the sample size, 21 of the 45 tested people said that they would go on more than three vacations a year, and this scale is supposedly proportional to the total group. Therefore, we can use a simple proportion to estimate the amount of people who would also say that they are going on more than three trips a year:
21 would ‘N’ would
————— = ——————
45 total 516 total
where N represents the number of people in the big group that would go on more than three trips a year.
Solve the proportion by cross-multiplication:
45N = 10,836
N = 240.8 people, or 241 people.
Based on the sample data, 241 people out of the 516 total will be taking more than three vacations a year.