It takes 40 minutes more going up or 40/60 = 0.67 hours
more.
Let us say that:
t = the time required for him running down
t + 0.67 = time required for him running up
Since the distance of running up and down must be equal
therefore:
(3 miles / hr) * (t + 0.67) = (5 miles / h) * t
3 t + 2.01 = 5 t
2 t = 2.01
t = 1.005 hr
So the total length of the hike is:
length = 2 * (5 miles / hr) * (1.005 hr)
<span>length = 10.05 miles</span>
All you do is subtract the two numbers
Answer:
Step-by-step explanation:
n=1
1²-5=-4
2²-5=-1
3²-5=4
10²-5=95
We need to correctly choose exactly 4 out of the 6 drawn numbers.
Apply hypergeometric distribution:
a=number of correctly chosen numbers = 4
A=number of correct (drawn) numbers = 6
b=number of incorrectly chosen numbers = 2
B=number of undrawn numbers = 44-6 = 38
Then by the hypergeometric distribution
P(a,b,A,B)
=C(A,a)C(B,b)/C(A+B,a+b) [C(n,r)=combination of r objects taken out of n]
=C(6,4)C(38,2)/C(44,6)
=15*703/7059052
= 10545/7059052
= 0.001494 (to the nearest millionth)
Answer: probability of winning third prize is 10545/7059052=0.001494
You will need to use this formula:
Principal = Total ÷ (1 + Rate) ^ <span>years
</span><span>Principal = 35,000 / [1.08]^4
</span><span><span><span>Principal = 35,000 / 1.36048896
</span>
</span>
</span>
Principal =
<span>
<span>
<span>
25,726.04
</span>
</span>
</span>
So, you would have to deposit $25,762.04 @ 8 per cent to have 35,000 in four years.
