Dilation because the sides will not be the same size as the original
1. A
2. should be 42?
3.???
4.27 apples left
5.B 1/4
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:
<h2>The factory needs to sell 327 packbacks to make at least 9,800 per week.</h2>
Step-by-step explanation:
We know that each backpacks is sold for $40.00.
The goal is to make at least $9,800 per week. With this information we can define the inequality
Where 
represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so
Solving for
Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.
