Using the uniform distribution, considering that the novel has 435 pages, the probability that the page is numbered something between 21 and 31 is:
<h3>What is the uniform probability distribution?</h3>
It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value between c and d is:
Researching the problem on the internet, it is found that the novel has 435 pages, hence a = 0, b = 435, and the probability that the page is numbered something between 21 and 31 is given by:
More can be learned about the uniform distribution at brainly.com/question/13889040
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Answer:
(3x -1) (3x+1)
Step-by-step explanation:
9x^2 - 1
Rewriting
(3x)^2 -1^2
This is the difference of squares a^2 -b^2 = (a+b) (a-b)
(3x -1) (3x+1)
Answer:
The answer to the question is;
The probability that the resulting sample mean of nicotine content will be less than 0.89 is 0.1587 or 15.87 %.
Step-by-step explanation:
The mean of the distribution = 0.9 mg
The standard deviation of the sample = 0.1 mg
The size of the sample = 100
The mean of he sample = 0.89
The z score for sample mean is given by
where
X = Mean of the sample
μ = Mean of the population
σ = Standard deviation of the population
Therefore Z = 
= -1
From the standard probabilities table we have the probability for a z value of -1.0 = 0.1587
Therefore the probability that the resulting sample mean will be less than 0.89 = 0.1587 That is the probability that the mean is will be less than 0.89 is 15.87 % probability.
Answer:
B
Step-by-step explanation:
Since this right angled triangle has two angles of 45, so according to theorem sides opposite to equal angles are equal
Applying Pythagoras theorem
(4√2)^2=(x)^2+(x)^2
32=x^2+x^2
32=2x^2
x^2=32/2
x^2=16
Taking sq root on both sides we get
x=4
