Answer:
170x+240y<2000
Step-by-step explanation:
sunrise- 170x
twilight- 240y
both of them added together has to equal/ be less than 2000
since i can't do the less than or equal to sign you will have to pretend there is a line under the < sign
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Answer:
3.63 * 10^19
Step-by-step explanation:
Given that :
Number of choices to select = 12
Category available :
Blues - 14
Country - 25
Disco - 21
To select an equal number of song for each category ; then 4 songs will be selected from each :
Using combination :
(14C4 * 25C4 * 21C4)
Since the order matters for the 12 selected songs ; it thus requires 12 permutation
Thus ;
(14C4 * 25C4 * 21C4) * 12!
nCr = n! / (n-r)!r!
Using calculator;
14C4 = 1001 ;
25C4 = 12650
21C4 = 5985
12! = 479001600
Hence,
(1001 * 12650 * 5985) * 479001600
= 36301596217286400000
=3.63 * 10^19
Answer:
y = -2x + 6 and y = 1/3x - 7
Step-by-step explanation:
For A, using rise over run, you can count 2 units up and 1 unit left of any given point to get to the next point. Because left is the negative direction on a graph, the 1 unit is negative. To calculate slope, divide the rise (2) over the run (-1) and substitute the slope as m into y = mx + b. In the formula, b is the y-intercept (where the line crosses the x axis). The y-intercept of A is 6, so replace b in the formula with 6:
y = -2x + 6
The slope of B is 1/3 and the y intercept is -7, so substitute those values into the formula again to get the answer for B:
y = 1/3x - 7
Answer
16/43
Step-by-step explanation:
17 Male + 27 female = 44 students
now n= 2 so first student was male so one male student was taken out of the equation so 16 male left. now left male students by remaining students so now total left students = 43
so, prob = remaining males/remaining students=16/43
Answer:12.57
Step-by-step explanation:
C=2πr
=2·π·2
=12.56637
