You play two games against the same oppo- nent. The probability you win the first game is 0.4. If you win the first game, the probability you also win the sec- ond is 0.2. If you lose the first game, the probability that you win the second is 0.3.a) Are the two games independent? Explain. b) What's the probability you lose both games? c) What' s the probability you win both games? d) Let random variable X be the number of games you win. Find the probability model for X. e) What are the expected value and standard

step-by-step explanation:

three-fourths of an hour

36÷48=0.75

0.75=

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

6^2 or 36

step-by-step explanation:

6000n

6×1000n

6×10^3 n

so we need 6n need to be a perfect cube

so n has to be 6^2 so that 6n is 6^3

what i'm saying is if you let n be 6^2 you have 6^3×10^3 or 60^3 which is a perfect cube