Let 0.25x is the price increase. Therefore, the number of attendees will be 350-10x and the revenue R=(350-10x)*(5+0.25x)=1750+37.5x-2.5x^2. This parabola has maximum at x=10, meaning the price=7.5
Answer:
a)0.08 , b)0.4 , C) i)0.84 , ii)0.56
Step-by-step explanation:
Given data
P(A) = professor arrives on time
P(A) = 0.8
P(B) = Student aarive on time
P(B) = 0.6
According to the question A & B are Independent
P(A∩B) = P(A) . P(B)
Therefore
& is also independent
= 1-0.8 = 0.2
= 1-0.6 = 0.4
part a)
Probability of both student and the professor are late
P(A'∩B') = P(A') . P(B') (only for independent cases)
= 0.2 x 0.4
= 0.08
Part b)
The probability that the student is late given that the professor is on time
= = = 0.4
Part c)
Assume the events are not independent
Given Data
P = 0.4
= = 0.4
= 0.4 x P
= 0.4 x 0.4 = 0.16
= 0.16
i)
The probability that at least one of them is on time
= 1-
= 1 - 0.16 = 0.84
ii)The probability that they are both on time
P = 1 - = 1 -
= 1 - [0.2+0.4-0.16] = 1-0.44 = 0.56
Answer:
90
Step-by-step explanation:
180°-104°=76°( sum of angles A and B)
76°÷2=38°
x=38°
Bcuz it is an isosceles triangle ( a triangle with 2 equal sides). So, angle B and A are equal. thats why 76° must be divided by 2.
180°-104°=76°(angles on a straight line)
180°-76°=104° (sum of angle A and C)
104°÷2=52°
y=52°
it is also an isosceles triangle.
x+y=38+52=90°
Answer:
96 degrees
Step-by-step explanation:
a