Answer:
B. Hannah is likely to be incorrect because 9 is not contained in the interval.
Step-by-step explanation:
She construct a 99% confidence interval for the difference between means and gets the interval (0.4, 8.0).
This means that there is 99% confidence that the true difference between means is within this interval.
The left 1% corresponds to the tails of the distribution: there is 0.5% probability that the difference between means is below 0.4 and 0.5% probability that the difference between means is above 8.0.
As she claims that 9 hours is the true difference, we can say that there is less than 0.5% that she is correct. In others words, is likely to be incorrect.
Answer:
The approximate probability that 10 squared centimeters of dust contains more than 10110 particles is 0.1357
Step-by-step explanation:
For a sample of 10 sqaured centimeters of dust, the total amount of asbestos particles has a Poisson distribution with a mean of 1000/1 * 10 = 10000.
We will approximate this probability to a normal distribution. The variance is also 10000 (because it is poisson), therefore the standard deviation is √10000 = 100. Lets call X the distribution, and W its standarization, given by
We have
Where 
is the cummulative distribution function of a standard normal distribution. The values of are well known and they can be found in the attached file.
We conclude that the approximate probability that 10 squared centimeters of dust contains more than 10110 particles is 0.1357.
Answer:12
Step-by-step explanation:
divide 24 by 2
Answer:
<h2>2x² - 16x + 30</h2>
Step-by-step explanation:
p(x) = 2x² - 4x
g(x) = x - 3
To find (pog)(x) replace every x in p(x) by g(x)
That's
(pog)(x) = 2(x - 3)² - 4(x - 3)
= 2( x² - 6x + 9) - 4x + 12
= 2x² - 12x + 18 - 4x + 12
<h3>= 2x² - 16x + 30</h3>
Hope this helps you
