Answer:
0.84 or 16
Step-by-step explanation:
Answer:
Step-by-step explanation:
slopes and equations:
find the equation thur ( 6,1 ) and (-2,-3)
find the slope m
m = (y2-y1) / (x2-x1 )
m = (-3 - 1) / (-2 -6)
m = -4 / -8
m = 1/2
now use the point-slope formula with our known slope
y-y1 = m(x-x1)
y-1 = 1/2(x-6)
y - 1 = 1/2x -3
y = 1/2x -3 +1
y =
x -2
Find the equation parallel to y = 3x + 6 and thur (0,1)
Parallel means the same slope, the slope is 3 for the equation above.
use the slope-intercept formula again with the point given and the slope 3
y-1 = 3(x -0)
y - 1 = 3x
y = 3x +1
Find the equations perpendicular to 2x + y = 8 and the same y intercept as 4y = x + 3.
put both equations into proper form
y = -2x +6
y =
x + 
perpendicular means reciprocal slope and change the sign, the 2nd equation has an intercept of
, so
y = 1/2x + 
there you go Amanda :)
Answer:
a
mean
variance 
b
The binomial random variable x fall into this interval ranges from
- 5 to 5
c
Step-by-step explanation:
From the question we are told that
The sample size is 
The percentage that look for gas stations and food outlets that are close to or visible from the highway is 
Generally the mean is mathematically represented as

=> 
=> 
The variance is mathematically represented as

=> 
=> 
The standard deviation is mathematically evaluated as



The interval is evaluated as

=> 
=> 
=> 
The binomial random variable x fall into this interval ranges from
- 5 to 5
Generally
![P(6 \le x \le 14) = P(\frac{ x - \mu }{\sigma } \le \frac{14 - 10}{{2.45}} ]-P[ \frac{ x - \mu }{\sigma } \le \frac{6 - 10}{2.45 } ]](https://tex.z-dn.net/?f=P%286%20%5Cle%20x%20%5Cle%2014%29%20%3D%20%20P%28%5Cfrac%7B%20x%20-%20%20%5Cmu%20%7D%7B%5Csigma%20%7D%20%20%5Cle%20%20%5Cfrac%7B14%20-%2010%7D%7B%7B2.45%7D%7D%20%5D-P%5B%20%20%5Cfrac%7B%20x%20-%20%20%5Cmu%20%7D%7B%5Csigma%20%7D%20%20%20%5Cle%20%5Cfrac%7B6%20-%2010%7D%7B2.45%20%7D%20%5D)
![P(6 \le x \le 14) = P(Z \le 1.63 ]-P[ Z \le -1.63 ]](https://tex.z-dn.net/?f=P%286%20%5Cle%20x%20%5Cle%2014%29%20%3D%20%20P%28Z%20%20%5Cle%201.63%20%5D-P%5B%20Z%20%20%5Cle%20-1.63%20%5D)
From the z-table

And

=>
=>