Answer:
80%
Step-by-step explanation:
(54-30)/30 *100 = 80%
The given problem describes a binomial distribution with p = 60% = 0.6. Given that there are 400 trials, i.e. n = 400.
a.) The mean is given by:
![\mu=np=400\times0.6=240](https://tex.z-dn.net/?f=%5Cmu%3Dnp%3D400%5Ctimes0.6%3D240)
The standard deviation is given by:
![\sigma=\sqrt{npq} \\ \\ =\sqrt{np(1-p)} \\ \\ =\sqrt{400(0.6)(0.4)} \\ \\ =\sqrt{96}=9.80](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7Bnpq%7D%20%5C%5C%20%20%5C%5C%20%3D%5Csqrt%7Bnp%281-p%29%7D%20%5C%5C%20%20%5C%5C%20%3D%5Csqrt%7B400%280.6%29%280.4%29%7D%20%5C%5C%20%20%5C%5C%20%3D%5Csqrt%7B96%7D%3D9.80)
b.) The mean means that in an experiment of 400 adult smokers, we expect on the average to get about 240 smokers who started smoking before turning 18 years.
c.) It would be unusual to observe <span>340 smokers who started smoking before turning 18 years old in a random sample of 400 adult smokers because 340 is far greater than the mean of the distribution.
340 is greater than 3 standard deviations from the mean of the distribution.</span>
Answer:
37.7 feet
Step-by-step explanation:
Given that:
Measurements of Frankie's yard = 20ft x 32ft
He wants to build a path from one corner to another.
To find:
The length of path = ?
Solution:
Let us consider a rectangle
as shown in the attached image in the answer area.
We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.
To find the diagonal, we can use the Pythagorean Theorem.
We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.
According to Pythagorean theorem:
![\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}](https://tex.z-dn.net/?f=%5Ctext%7BHypotenuse%7D%5E%7B2%7D%20%3D%20%5Ctext%7BBase%7D%5E%7B2%7D%20%2B%20%5Ctext%7BPerpendicular%7D%5E%7B2%7D)
![Diagonal = 20^2 + 32^2\\\Rightarrow Diagonal = 400 + 1024\\\Rightarrow Diagonal = \bold{37.7\ ft}](https://tex.z-dn.net/?f=Diagonal%20%3D%2020%5E2%20%2B%2032%5E2%5C%5C%5CRightarrow%20Diagonal%20%3D%20400%20%2B%201024%5C%5C%5CRightarrow%20Diagonal%20%3D%20%5Cbold%7B37.7%5C%20ft%7D)
An acite becaues it lowers than the others