Answer: The correct number of balls is (b) 4.
Step-by-step explanation: Given that a single winner is to be chosen in a random draw designed for 210 participants. Also, there is an equal probability of winning for each participant.
We are using 10 balls, numbered through 0 to 9. We are to find the number of balls which needs to be picked up, regardless of order, so that each of the 210 participants can be assigned a unique set of numbers.
Let 'r' represents the number of balls to be picked up.
Since we are choosing from 10 balls, so we must have
The value of 'r' can be any one of 0, 1, 2, . . , 10.
Now,
if r = 1, then
If r = 2, then
If r = 3, then
If r = 4, then
Therefore, we need to pick 4 balls so that each participant can be assigned a unique set of numbers.
Thus, (b) is the correct option.
Answer:
Step-by-step explanation:
For independent events,
P(AB)=P(A)orP(B)
= P(A)uP(B)
=P(A)×P(B)
= 0.55×0.72
P(AB)=0.396
Answer is A, all interior angles and exterior sun must be 360. those are interior angles so they have to add up to 180
Answer:
Diameter: 10.8 cm
Circumference (in terms of π): 10.8π cm
Circumference (approximate): 33.91 cm
Step-by-step explanation:
Hi there!
<u>We're given:</u>
<u>1) Determine the diameter</u>
Multiply the radius 5.4 cm by 2
5.4 × 2 = 10.8
Therefore, the diameter of the circle is 10.8 cm.
<u>2) Determine the circumference of the circle</u>
Plug in the diameter 10.8
Therefore, the circumference of the circle in terms of π is 10.8π cm.
<u />
<u>3) Determine the approximate circumference of the circle </u>
Therefore, the approximate circumference of the circle is 33.91 cm.
I hope this helps!
