Answer
Step by Step Explanation
1) Due to the Centroids Theorem we can say that:
AP=2/3AE
AP=2/3*21
∴AP=14
2) Finally, AE =AP+AE
21=14+7 ⇒21=21 True
AP =2PE verifies the Theorem too.
So, the size is 14 .

He will score 45 goals because he makes 3 goals in every game
The slope of the points is -4x
Answer: 0.0688
Step-by-step explanation:
Given : Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 43 days and a standard deviation of 10.1 days.
i.e.
and 
Let x represents the life expectancies of a certain protozoan.
Sample size : n= 25
The probability that a simple random sample of 25 protozoa will have a mean life expectancy of 46 or more days. :-

[using z-value table]
Hence, the required probability = 0.0688