Astatistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 45.0 and 55.0 minutes.
a) find the probability that a given class period runs between 51.5 and 51.75 minutes.
b) find the probability of selecting a class that runs between 51.5 and 51.75 minutes.
(round to three decimal places as needed.)

0.025

Step-by-step explanation:

Hello!

Given that the classes are uniformly distributed between 45.0 and 55.0 minutes, the propability distribution will be:

Now, we are looking for a probability P(51.5<x<51.75) which can be computed as:

Therefore:

P(51.5<x<51.75) = 0.025

or

P(51.5<x<51.75) = 2.5%

I strongly believe that the answer for both questions have the same answer, I believe this because there is no additional info for a given class  or selecting a class. I think both probabilities are the same.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol