50*.6=30
so if you solve this equation it would be 30 dogs in the shelter
The answer to your question is the letter G.
To solve the
following problems, we use the binomial probability equation:
P (r) = [n!/(n-r)!
r!] p^r q^(n-r)
where,
n = total
number of households = 8
r = number of
sample
p =
probability of success = 65% = 0.65
q = probability
of failure = 0.35
A. r = 5
P (r=5) = [8!
/ 3! 5!] 0.65^5 0.35^3
P (r=5) =
0.28
B. r >5
P (r=6) = [8!
/ 2! 6!] 0.65^6 0.35^2
P (r=6) =
0.26
P (r=7) = [8!
/ 1! 7!] 0.65^7 0.35^1
P (r=7) =
0.14
P (r=8) = [8!
/ 0! 8!] 0.65^8 0.35^0
P (r=8) =
0.03
Therefore
total is:
P (r>5) = 0.26
+ 0.14 + 0.03 = 0.43
C. r ≤ 5
P (r ≤ 5) = 1
- P (r>5)
P (r ≤ 5) = 1
– 0.43
P (r ≤ 5) =
0.57
<span> </span>
Answer:
the height of the porch is H=1.91 m
Step-by-step explanation:
neglecting friction and assuming that the porch is horizontal, then the horizontal speed is v₀= 4 m/s and it does not change , thus he hits the base at
t= L/v₀ , L= horizontal distance
then for vertical motion , since the vertical velocity vy is 0 , the initial height is H ( the height of the porche) and the final height hf is 0 , we have
hf = H + vy*t - 1/2*g*t²
0 = H + 0 -1/2*g*t²
H = 1/2*g*t² = 1/2*g*(L/v₀)²
replacing values with g= gravity = 9.8 m/s²
H = 1/2*g*(L/v₀)² = 1/2*9.8 m/s² *( 2.5 m/ 4 m/s)² = 1.91 m
therefore the height of the porch is H=1.91 m
