Answer:
f8gogohohogifufur8tig9gogohohohogew6e64748585585858585885859585959595
In 14 minutes, Dan has already traveled 840 miles
14 • 60 = 840
Since Jake bikes 210 per minute, you would need to divide the total number of miles that Dan has traveled in 14 minutes (840 miles) by the amount of miles Jake can travel in one minute (210).
840 ÷ 210 = 4 minutes
Answer: 4 minutes
Answer:
A darts player practices throwing a dart at the bull’s eye on a dart board. Her probability of hitting the bull’s eye for each throw is 0.2.
(a) Find the probability that she is successful for the first time on the third throw:
The number F of unsuccessful throws till the first bull’s eye follows a geometric
distribution with probability of success q = 0.2 and probability of failure p = 0.8.
If the first bull’s eye is on the third throw, there must be two failures:
P(F = 2) = p
2
q = (0.8)2
(0.2) = 0.128.
(b) Find the probability that she will have at least three failures before her first
success.
We want the probability of F ≥ 3. This can be found in two ways:
P(F ≥ 3) = P(F = 3) + P(F = 4) + P(F = 5) + P(F = 6) + . . .
= p
3
q + p
4
q + p
5
q + p
6
q + . . . (geometric series with ratio p)
=
p
3
q
1 − p
=
(0.8)3
(0.2)
1 − 0.8
= (0.8)3 = 0.512.
Alternatively,
P(F ≥ 3) = 1 − (P(F = 0) + P(F = 1) + P(F = 2))
= 1 − (q + pq + p
2
q)
= 1 − (0.2)(1 + 0.8 + (0.8)2
)
= 1 − 0.488 = 0.512.
(c) How many throws on average will fail before she hits bull’s eye?
Since p = 0.8 and q = 0.2, the expected number of failures before the first success
is
E[F] = p
q
=
0.8
0.2
= 4.
(3+a+2) (a+2-3)
(5+a) (a-1)
5a-5+a^2-a
Rearrange and combine like terms
a^2 +4a-5
Answer:
11) 60°
12) 50°
13) 50°
14) 50° (i suspect you want ∠FED instead, which is 102°)(NOT a repeat of ∠FDE)
Step-by-step explanation:
