We want to find the value that makes

To find it we must look at the standard normal table, using the complementary cumulative table we find that

Then, using the z-score we can find the minimum score needed, remember that

Where
σ = standard deviation
μ = mean
And in our example, x = minimum score needed, therefore

Rounding to the nearest integer the minimum score needed is 568, if you get 568 you are at the top 20.1%.
The 3rd one: "Converse of the Same-Side Interior Angles Postulate"
Answer:
g(3) = 17
Step-by-step explanation:
Step 1: Define
g(x) = 5x + 2
g(3) = x = 3
Step 2: Substitute and Evaluate
g(3) = 5(3) + 2
g(3) = 15 + 2
g(3) = 17
Answer:896.9
Step-by-step explanation:
Let x denotes excess premium over claims
, There are two possibilities
(i)Only husband survives
This can be possible with a possibility of 0.01
Claims=10,000
Premium collected
Thus x=1000-10,000=-9000
(ii)Both husband and wife survives
This can occur with a probability of 0.96
Here claims will be 0 as both survives
Premium taken=1000
thus x=1000
The probability that the husband survives is the sum of above cases
=0.96+0.01=0.97
Hence the desired conditional Expectation 