Answer:
n=2
2(n+8)=20
2n+16=20
-16 -16
<u>2n=4</u>
2 2
n= 2
There u go love
Step-by-step explanation:
The null hypothesis suggests that the two samples come from the same distribution(s), and the experimental hypothesis suggests that the two samples come from different distribution(s).
Answer: D) 0.0013
Step-by-step explanation:
Let x be the random variable that represents the lengths of rods.
As pr given , we have
n=100 ,
![\sigma=0.05\ inch](https://tex.z-dn.net/?f=%5Csigma%3D0.05%5C%20inch)
z-score : ![z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
For x= 119.985 inches , we have
![z=\dfrac{119.985 -120}{\dfrac{0.05}{\sqrt{100}}}=-3](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B119.985%20-120%7D%7B%5Cdfrac%7B0.05%7D%7B%5Csqrt%7B100%7D%7D%7D%3D-3)
Using the standard z-table , we have
The probability that Claude's sample has a mean less than 119.985 inches is
![P(z](https://tex.z-dn.net/?f=P%28z%3C-3%29%3D1-P%28z%3C3%29%5C%5C%5C%5C%3D1-0.9986501%5C%5C%5C%5C%3D0.0013499%5Capprox0.0013)
Hence, the probability that Claude's sample has a mean less than 119.985 inches is 0.0013.
The information given is sufficient for this proof .
Slope of a line passing through x1 ,y1) and ( x2,y2) is given by the formula :
M = ( y2 - y1)/ ( x2-x1)
________________________________
Let us start finding the slope of line PQ
the given points are ( a,b) and ( c,d)
using the slope formula we get :
slope of line PQ = m= ( d-b) /( c-a)
Let us now try finidng slope of the another line P'Q'
It is passing through ( -b ,a) and (-d,c)
using the formula we get slope of P'Q' = m' = ( c-a) /( -d - -b)
m'= ( c-a) /( -d+b)
m'= ( c-a) / -( b-d Let us find the product of m and m' :
( d-b ) * ( c-a)
----------- ------------ = -1
(c-a) - ( b-d)
Because we got product of m and m' = -1 hence proved product of perpendicular lines are negative reciprocal of each other .
With the information given it’s 2a + 4