check the picture below.
so, y = -3 is simply a horizontal line, as you see there, and any perpendicular line to that will be a vertical one, whose slope is undefined.
we can check by simply picking two points off the red line hmmm say (-2,2) and (-2, -2)
SA=2pi 2 40 + 2pi 4
SA=160pi+8pi
SA=168pi
or
SA=527.787566 yards cubed
Answer:
(fºg)(x) = x -2
Step-by-step explanation:
f(x) = x + 2
g(x) = x - 4
(fºg)(x) = ( x - 4) + 2
(fºg)(x) = x -2
Answer:
P ( 5 < X < 10 ) = 1
Step-by-step explanation:
Given:-
- Sample size n = 49
- The sample mean u = 8.0 mins
- The sample standard deviation s = 1.3 mins
Find:-
Find the probability that the average time waiting in line for these customers is between 5 and 10 minutes.
Solution:-
- We will assume that the random variable follows a normal distribution with, then its given that the sample also exhibits normality. The population distribution can be expressed as:
X ~ N ( u , s /√n )
Where
s /√n = 1.3 / √49 = 0.2143
- The required probability is P ( 5 < X < 10 ) minutes. The standardized values are:
P ( 5 < X < 10 ) = P ( (5 - 8) / 0.2143 < Z < (10-8) / 0.2143 )
= P ( -14.93 < Z < 8.4 )
- Using standard Z-table we have:
P ( 5 < X < 10 ) = P ( -14.93 < Z < 8.4 ) = 1
Answer:
C) 24
Step-by-step explanation:
The patter here is that you multiply the previous term by 2 to get the next term. So 3*2 is 6, 6*2 is 12, and 12*2 is 24.
