0.135 or in fraction is 27/20
Answer:
see below
Step-by-step explanation:
4x - 4(30-2x)=24
4x-120+8x=24
12x=144
X=12
then substitute
2(12) + y =30
y=30-24
y=6
Answer:
Total number of ways are 336.
Step-by-step explanation:
It is required to find the number of ways in which we can award a 1st, 2nd and 3rd place prize among eight contestants. It means we need to find the number of permutations. We need to find
.
Here, r = 3
So,
![^nP_r=\dfrac{n!}{(n-r)!}\\\\^8P_3=\dfrac{8!}{(8-3)!}\\\\^8P_3=\dfrac{8!}{5!}\\\\^8P_3=\dfrac{8\times 7\times 6\times 5!}{5!}\\\\^8P_3=336](https://tex.z-dn.net/?f=%5EnP_r%3D%5Cdfrac%7Bn%21%7D%7B%28n-r%29%21%7D%5C%5C%5C%5C%5E8P_3%3D%5Cdfrac%7B8%21%7D%7B%288-3%29%21%7D%5C%5C%5C%5C%5E8P_3%3D%5Cdfrac%7B8%21%7D%7B5%21%7D%5C%5C%5C%5C%5E8P_3%3D%5Cdfrac%7B8%5Ctimes%207%5Ctimes%206%5Ctimes%205%21%7D%7B5%21%7D%5C%5C%5C%5C%5E8P_3%3D336)
So, there are 336 ways.
Answer:
The probability that the first failure occurs among the five devices is given by
(a) 9 months =![\frac{9}{15} or =0.6](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B15%7D%20or%20%20%3D0.6)
(b) 12 months=![\frac{12}{15} or = 0.8](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B15%7D%20or%20%3D%200.8)
Step-by-step explanation:
probability is given as the; number of required outcome/ total number of possible outcome.
Answer:
![\dfrac{20}{7}\ \text{units}](https://tex.z-dn.net/?f=%5Cdfrac%7B20%7D%7B7%7D%5C%20%5Ctext%7Bunits%7D)
Step-by-step explanation:
Put the side length where x is, then do the arithmetic.
P = 4x
P = 4(5/7) = 20/7
The perimeter is 20/7 units.