Answer:
1287
Step-by-step explanation:
Number of people in elevator , n = 8
Number of floors, r = 6
Since they all look alike, arrangement doesn't matter, the we use combination :
(n+r-1 r - 1) = (8+6-1 C 6-1) = 13C5
Recall:
nCr = n! / (n-r)!r!
13C5 = 13! / (13-5)!5!
13C5 = 13*12*11*10*9 / 5*4*3*2*1
= 1287
Answer:2.4
Step-by-step explanation:
12 * 20% = 12 * 0.20 = 2.4 hours
It will not last the entire shift.
Answer:
y = (-1/3)(x + 10)
Step-by-step explanation:
The slope of the new (perpendicular) line is the negative reciprocal of the slope of the given line, which appears to be 3. Thus, the perpendicular line has the slope -1/3.
Using the slope-intercept form y = mx + b, and substituting the givens, we obtain:
y = mx + b => -6 = (-1/3)(8) + b, or
-6 = -8/3 + b. We must solve for the y-intercept, b:
Multiplying all three terms by 3 removes the fraction:
-18 = -8 + 3b. Thus, -10 = 3b, and so b must be -10/3.
The desired equation is
y = (-1/3)x - 10/3, or
y = (-1/3)(x + 10)
Answer:
4
Step-by-step explanation: