Angle one and angle two are supplementary, meaning that they add up to 180°.
180 - 58 = 122
Angle one and angle three are vertical angles, meaning that they are both the same angle.
Angle three = 122°
Answer:
74.99%
Step-by-step explanation:
We have a binomial problem, where the sample sample size is 15 and p = 80%
Find the probability that exactly 12 of the 15 consumers recognize the brand name, where n = 15 and x = 12
P (x) = nCx * [(p) ^ x] * [(1 - p) ^ (n-x)]
Replacing:
P (x = 12) = 15C12 * [(0.8) ^ 12] * [(0.2) ^ (3)]
P (x = 12) = 455 * [(0.8) ^ 12] * [(0.2) ^ (3)]
P = 0.2501
To find the probability that the number recognized by the mark is not 12, it would be
P = 1 - P (x = 12)
P = 1 - 0.2501
P = 0.7499
That is, the probability is 74.99%
Step-by-step explanation:
4x + 2 + 3x + 3 = 180 (straight angle)
4x + 3x + 2 + 3 = 180
7x + 5 = 180
7x = 175
x = 25°