Remember, these are quadrilaterals, so they must add up to 360°. Just add up the angles and then do 360 minus that number to solve for x.
Therefore:
1. 118 + 90 + 99 = 307
360 - 307 = 53
2. 110 + 96 + 78 = 284
360 - 284 = 76
3. 48 + 118 + 97 = 263
360 - 263 = 97
4. 105 + 99 + 64 = 268
360 - 268 = 92
5. 103 + 63 + 113 = 279
360 - 279 = 81
6. 95 + 80 + 88 = 263
360 - 263 = 97
Answer:
only 5 of her friends will play
Step-by-step explanation:
8-3=5
Answer:
(a)
The values of X can be 0, 1, 2 , ..., 10 . So, X is a discrete random variable.
(b)
The distribution of X is Binomial distribution with the parameters n = 10 and p = 0.2
(c)
Probability that no one or one person will be injured = P(X = 0) + P(X = 1)
= 10C0 * 0.20 * (1 - 0.2)10-0 + 10C1 * 0.21 * (1 - 0.2)10-1
= 0.810 + 10 * 0.2 * 0.89
= 0.3758096
(d)
Average value of X = np
Average value of X = 10 * 0.2 = 2
(e)
Variance of X = np(1-p)
Variance of X = 10 * 0.2 * (1 - 0.2) = 1.6
(f)
Number of ways in which 2 people gets injured = 10C2 = 10! / ((10-2)! 2!) = (10 * 9) / (2 * 1) = 45
Assume the best player got injures, number of ways in which one people out of remaining 9 people gets injured = 9C1
= 9! / ((9-1)! 1!)
= 9
Probability that the best player got injured = Number of ways in which 1 people gets out of 9 and best person gets injured / Number of ways in which 2 people gets injured
= 9 / 45
= 0.2
Answer:
5 hours must pass
Step-by-step explanation:
Graph the equations y = 2x + 100 and y = -6x + 140
Then find the x intercept of their intersection, in this case, that is 5
