Answer: Probability P = 1/1716
Step-by-step explanation:
Definition
For permutation ( order is important)
nPr = n!/(n-r)!
Given;
Total number of members in the committee = 13
Total number of members to be selected = 3
Since order is important in this case.
The total number (Tt) of possible ways of selecting three executives from the committee members is given as
Tt = 13P3 (since order is important)
Tt = 13!/(13-3)!
Tt = 13!/10!
Tt = 1716
The probability P of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current positions is equal to
P = number of favourable outcomes/ number of possible outcomes
Number of favourable outcomes = 1 (i.e 1×1×1 = 1) one option for each post.
Number of possible outcomes = Tt = 1716
P = 1/1716
Answer:
The mean is 95 and the standard deviation is 2
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Population:
Mean 95, Standard deviation 12
Samples of size 36:
By the Central Limit Theorem,
Mean 95
Standard deviation 
15r^2 - 14r -12 is the correct answer
Answer:
y = -2.5x
Step-by-step explanation:
The constant of variation = y/ x = 5/-2 = -2.5
Also -7.5 / 3 = -2.5
-10 /4 = -2.5 and so on
Answer: 6.5%
Step-by-step explanation:
$5.86 -$5.50
=$0.36
We then divide $0.36 by 5.50 =0.065
Multiply by 100 to convert decimal to percentage= 0.065×100
=6.5%
