Answer:
x = 63, y = 27
Step-by-step explanation:
x and 117 are adjacent angles and sum to 180°
x + 117 = 180 ( subtract 117 from 180 )
x = 63
x and y sum to 90°
x + y = 90
63 + y = 90 ( subtract 63 from both sides )
y = 27
Answer:
Step-by-step explanation:
D(15) = 3500 -20(15)
D(15) = 3500 - 300
D(15) = 3200
In 15 hours of driving the Brown family is 3200(no unit given) away from home.
Answer:
0.6
Step-by-step explanation:
A permutation is an arrangement of outcomes whereas a combination is a grouping of outcomes.
Order matters in case of permutations but does not matter in combinations.
Given:
Number of red marbles = 3
Number of white marbles = 2
Number of green marbles = 1
To find: probability of picking 4 marbles and getting one of each color
Solution:
Total number of outcomes =
= ![\frac{6!}{4!\,2!}=\frac{6\times 5\times 4!}{4!\times 2}=15](https://tex.z-dn.net/?f=%5Cfrac%7B6%21%7D%7B4%21%5C%2C2%21%7D%3D%5Cfrac%7B6%5Ctimes%205%5Ctimes%204%21%7D%7B4%21%5Ctimes%202%7D%3D15)
Number of favourable outcomes = 2 red, 1 white and 1 green marble + 1 red, 2 white and 1 green marble =
= ![\frac{3!}{2!\,1!}\times \frac{2!}{1!\,1!}\times 1+\frac{3!}{2!\,1!}\times 1\times 1=6+3=9](https://tex.z-dn.net/?f=%5Cfrac%7B3%21%7D%7B2%21%5C%2C1%21%7D%5Ctimes%20%5Cfrac%7B2%21%7D%7B1%21%5C%2C1%21%7D%5Ctimes%201%2B%5Cfrac%7B3%21%7D%7B2%21%5C%2C1%21%7D%5Ctimes%201%5Ctimes%201%3D6%2B3%3D9)
So, probability of picking 4 marbles and getting one of each color = Number of favourable outcomes/Total number of outcomes =![\frac{9}{15}=\frac{3}{5}=0.6](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B15%7D%3D%5Cfrac%7B3%7D%7B5%7D%3D0.6)
Factor 10s^3+25s^2+8s+20
(2s+5)(5s^2+4)
I hope that's help again !