Answer:
2z-6
Step-by-step explanation:
2(z-3)
2(z)-2(3)=2z-6
Answer:
Step-by-step explanation:
This is a d = rt problem; but since it is linear, then proportions will work too. Set up the proportion with miles on top and hours on the bottom:
Then put the numbers in where they go, keeping in mind that miles goes with miles and hours goes with hours in the ratios, and that our unknown is time (hours):
and cross multiply to solve:
638x = 4466 so
x = 7 hrs
Answer:
5.8
Step-by-step explanation:
tangent = opposite over adjacent
10*tan(30) ≈ 5.774
round to the nearest 10th
5.8
<span><span>θi</span>=<span>sin<span>−1</span></span>(μsin<span>θr</span>)
=<span>sin<span>−1</span></span>(1.33×sin46.5)
=74.7degrees</span>
There is 1/5000 chance to win first place of $2000,
1/5000 chance to win second place of $500
3/5000 chance to win third place of $100
10/5000 chance to win the consolation prize of $25.
The ticket costs $1.
We multiply each probability by the amount, and subtract the ticket cost, to get the expected net earnings:
(1/5000)($2000) + (1/5000)($500) + (3/5000)($100) + (10/5000)($25) - $1 = $(-0.39).
This means that there is an expected loss of $0.39.
