Suppose the strength of a particular metal beam is given by, S=10+.5T⋅P^2

Where T is a random variable representing the forging temperature and P is a random variable representing purity. Suppose the following statements are true about these random variables:

.T has a uniform distribution on [0, 2].
. Conditional on a value for T, P is has a normal distribution with mean T/2 and standard deviation T/12. For example E[P|T = 1] = 1/2, and

√V[P|T=1]=σ(P|T=1)=1/12
Required:
Compute the expectation of S.

Dakota earned $7.50 in interest in account a and $18.75 in interest in account b after 15 months. if the simple interest rate is 4% for account a and 5% for account b, which account has the greater principal? explain. to make it a little easier, there is an image. good luck!

Stefano accidentally dropped his sunglasses off the edge of a canyon as he was looking down. the height, h(t), in meters (as it relates to sea level), of the sunglasses after t seconds, is shown in the table. during its descent, the pair of sunglasses passed by a climber in the canyon 6 seconds after stefano dropped them. to the nearest meter, what is difference in elevation between stefano and the climber? 166 meters 176 meters 230 meters 240 meters its b.176 i took the test 166 is wrong and 176 is correct

1) what is the measure of the exterior angle, ∠uvw ? 2) in triangle man, what is the measure of the exterior angle at n (in degrees)?