Answer:
3.54% probability of observing at most two defective homes out of a random sample of 20
Step-by-step explanation:
For each house that this developer constructs, there are only two possible outcomes. Either there are some major defect that will require substantial repairs, or there is not. The probability of a house having some major defect that will require substantial repairs is independent of other houses. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
30% of the houses this developer constructs have some major defect that will require substantial repairs.
This means that 
If the allegation is correct, what is the probability of observing at most two defective homes out of a random sample of 20
This is
when n = 20. So






3.54% probability of observing at most two defective homes out of a random sample of 20
Answer:
Step-by-step explanation:
Having drawn the line, Kendall must verify that the point P belongs to the line y = 2x-1 and then calculate the distance between A-P and verify if it is the closest to A or there is another one of the line
Having the point P(3,5) substitue x to verify y
y=2*(3)-1=6-1=5 (3,5)
Now if the angle formed by A and P is 90º it means that it is the closest point, otherwise that point must be found

and we found the distance PQ and QA
;
, 
be the APQ triangle we must find <APQ through the cosine law (graph 2).
The statments that justify this eqaution would be:
inverse - addition
inverse - multiplication
Ernie spend 6hrs. × his 3 sisters
so, 6×3=18
18hours in total.
Answer:the total discounted price for two dogs to be groomed is 22.75
Step-by-step explanation:
A dog groomer is offering 20% off a full groom for one dog, and 15% off for each additional dog. Normally, a full groom costs $65 for each dog.
If you decide to take your two furry friends to be groomed,
the discount on the first one would be
20/100 × 65 = 0.2 × 65 = 13
the discount on the second one would be
10/100 × 65 = 0.15 × 65 = 9.75
the total discounted price for two dogs to be groomed would be
13 + 9.75 = 22.75