Answer: B) 18° C
Step-by-step explanation:
21+(-3) = 21 - 3
= 18
Answer:
In the case of the equilateral triangle, , the exterior angle, plus 60 equals 180. Subtracting 60 from both sides of this equation gives us a value of equal to 120. This means that the exterior angle of an equilateral triangle is equal to 120 degrees. The sum of all the exterior angles is always 360 degrees.
Step-by-step explanation:
A real world expression would be Toby had makes 3 dollars per hour he wants to buy a ps4 for 40 dollars. he already has 10 dollars. how many hours does he have to work to afford his ps4. 3x+10=40
Answer: ![0.4065](https://tex.z-dn.net/?f=0.4065)
Step-by-step explanation:
Given : In a sociology class there are 14 sociology majors and 11 non-sociology majors.
Total students = 14+11=25
Number of students are randomly selected = 3
Then, the number of ways to select 3 students from 25 students :-
![^{25}C_3=\dfrac{25!}{(25-3)!3!}=\dfrac{25\times24\times23\times22!}{22!3!}\\\\=2300](https://tex.z-dn.net/?f=%5E%7B25%7DC_3%3D%5Cdfrac%7B25%21%7D%7B%2825-3%29%213%21%7D%3D%5Cdfrac%7B25%5Ctimes24%5Ctimes23%5Ctimes22%21%7D%7B22%213%21%7D%5C%5C%5C%5C%3D2300)
Number of ways to select at least 2 of the 3 students re non-sociology majors :-
![^{14}C_1\times^{11}C_2+^{14}C_0\times ^{11}C_{3}\\\\=(14)\times\dfrac{11!}{2!(11-2)!}+(1)\times\dfrac{11!}{3!(11-3)!}\\\\=(14)(11\times5)+\dfrac{11\times10\times9}{6}\\\\=770+165=935](https://tex.z-dn.net/?f=%5E%7B14%7DC_1%5Ctimes%5E%7B11%7DC_2%2B%5E%7B14%7DC_0%5Ctimes%20%5E%7B11%7DC_%7B3%7D%5C%5C%5C%5C%3D%2814%29%5Ctimes%5Cdfrac%7B11%21%7D%7B2%21%2811-2%29%21%7D%2B%281%29%5Ctimes%5Cdfrac%7B11%21%7D%7B3%21%2811-3%29%21%7D%5C%5C%5C%5C%3D%2814%29%2811%5Ctimes5%29%2B%5Cdfrac%7B11%5Ctimes10%5Ctimes9%7D%7B6%7D%5C%5C%5C%5C%3D770%2B165%3D935)
The probability that at least 2 of the 3 students selected are non-sociology majors will be :-
![\dfrac{935}{2300}=0.40652173913\approx0.4065](https://tex.z-dn.net/?f=%5Cdfrac%7B935%7D%7B2300%7D%3D0.40652173913%5Capprox0.4065)