Which is a pair of independent events? choosing one calendar date for sports practice and then choosing a back-up date choosing one card from a deck and then choosing one card from another deck choosing a pen to write with in class and then choosing another to let a friend use choosing a first place and then a second place work of art

choosing one card from a deck and then choosing one card from another deck.

Step-by-step explanation:

These two actions are independent of each other. There is the same probability of choosing a card from any of those decks.

Let's say the decks are of 52 cards for example.

If you select one from the first deck , there are still 52 cards on the second.

Having selected from one, did not affect the other.

I hope this helped. I am sorry if you get this wrong.

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation:

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%