Answer:
The probability that more than half of the sample would vote for him is P=0.7549.
Step-by-step explanation:
With a sample size of n=300, we can approximate this to the normal distribution.
The parameters will be
We have to calculate the probability that half or more of the sample vote for him. This is P(x>150).
To calculate this probability, first we calculate the z-value:
Then
The probability that more than half of the sample would vote for him is P=0.7549.
Answer:
22.81
Step-by-step explanation:
The distance formula can be used to find the distances between pairs of vertices. The perimeter is the sum of those distances.
<h3>Side lengths</h3>The distance formula is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using this formula the triangle side lengths are ...
AB = √((6 -(-2))^2 +(2 -2)^2) = √(8^2) = 8
BC = √((0 -6)^2 +(8 -2)^2) = √(6^2 +6^2) = 6√2
CA = √((-2 -0)^2 +(2 -8)^2) = √(4 +36) = √40
The perimeter of the triangle is the sum of these lengths:
P = 8 +6√2 +2√10 ≈ 22.8098
The perimeter is about 22.81 units.
