Answer:
115/12
Step-by-step explanation:
The value of f(1) = 81
Step-by-step explanation:
For the recursive function, f(n+1) = one-half(n)
Thus, when n = 2,
f(3) = 9
If n = 1,
f(2) = 9×3
f(2) = 27
If n = 0,
f(1) = 27 ×3
f(1) = 81
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Answer: ( 8.11 , 9.69)
the 95% confidence interval of the true mean weight
= ( 8.11 , 9.69)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 8.9
Standard deviation r = 0.9
Number of samples n = 5
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
8.9+/-1.96(0.9/√5)
8.9+/-1.96(0.4025)
8.9+/- 0.79
= ( 8.11 , 9.69)
Therefore at 95% confidence interval (a,b) = ( 8.11 , 9.69)
Answer:
Madison and Ella do not have enough paint to cover the walls after they mix the red and white paint together.
Step-by-step explanation:
Volume of red paint = 
Volume of white paint = 
Total volume of pink paint by mixing red and white :



Volume of total paint required by them as calculated by clerk = 2 gallons

So, this means that Madison and Ella do not have enough paint to cover the walls after they mix the red and white paint together.
Answer:
8 and 2.529
Step-by-step explanation:
The computation of the mean and the standard deviation is shown below:
Given that
Total number of questions is n = 40
The Probability of correct answer is p = 
So, the probability of the wrong answer is q =
= 
Moreover, this is the binomial distribution
Based on the above information
The mean is


= 8
Now the variance is

= 
So, the standard deviation is

= 2.529
hence, the mean and the standard deviation is 8 and 2.529 respectively