Answer:
56 different ways
Step-by-step explanation:
This is a combination question since it deals with selection. For example, if n objects is to be selected from a pool of r objects, this can be done in nCr different ways.
nCr = n!/(n-r)!r!
According to the question, If the police have 8 suspects, the different number of ways 5 can be selected for a line up is expressed as 8C5
8C5 = 8!/(8-5)!5!
8C5 = 8!/(3!)!5!
8C5 = 8*7*6*5!/3*2*5!
8C5 = 8*7*6/3*2
8C5 = 8*7
8C5 = 56 different ways
<em>Hence, the selection of picking 5 for a line up out of 8 suspects can be done in 56 different ways.</em>
Answer:
2/6
Step-by-step explanation:
if you multiply each factor by 2, you get 2/6 and if you simplify that you get 1/3.
Correct answer is B. X<3
Explanation: I used photo math
Answer:
6 seconds
Step-by-step explanation:
Temperature of air = ![68^{\circ}\text{F}](https://tex.z-dn.net/?f=68%5E%7B%5Ccirc%7D%5Ctext%7BF%7D)
Converting to Celsius
![T=(68-32)\dfrac{5}{9}=20^{\circ}\text{C}](https://tex.z-dn.net/?f=T%3D%2868-32%29%5Cdfrac%7B5%7D%7B9%7D%3D20%5E%7B%5Ccirc%7D%5Ctext%7BC%7D)
Speed of sound in air is given by
![v=331.3\sqrt{1+\dfrac{T}{273.15}}\\\Rightarrow v=331.3\sqrt{1+\dfrac{20}{273.15}}\\\Rightarrow v=343.21\ \text{m/s}](https://tex.z-dn.net/?f=v%3D331.3%5Csqrt%7B1%2B%5Cdfrac%7BT%7D%7B273.15%7D%7D%5C%5C%5CRightarrow%20v%3D331.3%5Csqrt%7B1%2B%5Cdfrac%7B20%7D%7B273.15%7D%7D%5C%5C%5CRightarrow%20v%3D343.21%5C%20%5Ctext%7Bm%2Fs%7D)
d = Distance to travel = 2058 m
Time is given by
![t=\dfrac{d}{v}\\\Rightarrow t=\dfrac{2058}{343.21}\\\Rightarrow T=5.99\approx 6\ \text{s}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7Bd%7D%7Bv%7D%5C%5C%5CRightarrow%20t%3D%5Cdfrac%7B2058%7D%7B343.21%7D%5C%5C%5CRightarrow%20T%3D5.99%5Capprox%206%5C%20%5Ctext%7Bs%7D)
Time taken to travel 2058 m is 6 seconds.
Answer:
y = 25x+100
Step-by-step explanation: You are paying 25$ times how many months he stayed there, plus a 100 dollar sign up fee, so y = 25 dollars per month, plus 100 dollars.