Add 3.5 to both sides
the answer is 8.9
aka 8 9/10
Answer:
a) P = 0.125
b) It is not necessarily true
Step-by-step explanation:
a. If the coin was fair, the probability of obtaining head would be 0.5, and each launch of the coin would be an independent event.
Remember that if two events A and B are independent, then:
P(A∩B) = P(A)P(B)
Therefore, the probability that Caitlin would get heads on all three flips is:
P(A∩A∩A) = P(A)P(A)P(A) = 0.5*0.5*0.5 = 0.125
b) It is not necessarily true, because there exist a probability associated to this event and it means that this situation can occur although the coin was fair.
Answer:
A
Step-by-step explanation:
the area of square is 10²=100
Area of a circle is πr²=π(10/2)²=25π
100-25π=100-25*3.14=100-78.5=21.5
Answer:
the time is 1.57 sec and the distance is 49.32mm
Step-by-step explanation:
Given that,
The angle is 180°
Angular velocity is 2rev/sec
The radius is 10mm
we are to find the time and distance traveled at that time
The formula is
θ = at
where t is the time,
a is the angular velocity
θ is angle in radian
so,
θ = 180° × π/180°
θ = π
= 3.14
Hence ,
θ = at
3.14 = 2t
t = 1.57sec
let the distance be xmm
![\frac{1.57 \times 180^0}{360} = \frac{x}{20 \pi} \\\\0.785 = \frac{x}{20 \pi} \\\\x = 49.32mm](https://tex.z-dn.net/?f=%5Cfrac%7B1.57%20%5Ctimes%20180%5E0%7D%7B360%7D%20%3D%20%5Cfrac%7Bx%7D%7B20%20%5Cpi%7D%20%5C%5C%5C%5C0.785%20%3D%20%5Cfrac%7Bx%7D%7B20%20%5Cpi%7D%20%5C%5C%5C%5Cx%20%3D%2049.32mm)
Therefore , the time is 1.57 sec and the distance is 49.32mm