Answer:
Step-by-step explanation:
A. It says he will get to sit in the front if the number is even
There are 6 sides, three of which are even numbers (2,4,6). So the probability of rolling an even number is 3/6 = 1/2.
Let's make p = 1/2
Jack will get his way half of the time, so we expect him to get the front seat half of the time
If we're talking about 20 days, then n = 20 and
n*p = 20*(1/2) = 20/2 = 10
meaning that Jack would, on average, get the front seat 10 times out of the 20 total.
B. Similar to A
n=100
The probability is still the same because rolling an odd number (1,3,5) is still going to happen 3/6 = 1/2 of the time.
so: n*p means 100 days*1/2 which is 100/2=50 days
Jill get to sit in the front 50 out of the 100 days.
C. For better accuracy, we can at least increase the number of trials so we have more data in able for better accuracy.
As Jill did 100 hundred, we think that she will get closer to the actual frequency. As larger the number of trials, the closer we'll get to the expected probability.
Using the Pythagorean theorem:
WY =√(5^2 + 12^2)
WY = √(25 +144)
WY = √169
WY = 13 mm
Answer: 1
B is the center of a circle of radius 1. A and C are on the circle 100 degrees apart. So arc AC is 100 degrees. Arc AC the long way around is 360-100=260 degrees. That means any point D on arc AC will subtend a 130 degree angle. BD is a radius for all of those, and the radius is 1.
