h = prob of hardcover = .25
p = prob of paperback = .75
a.
Prob(2 hardcover of 10) = (10 choose 2) (.25)^2 (.75)^8
= ( 10(9)/2 ) (1/4^10) (1^2 3^8)
= 295245/1048576
≈ 28.15%
b.
I think I just did the binomial distribution. We can approximate it as a normal distribution. The mean and variance in this case are computed thus:
N=10, n=2
μ = Np = 2.5
σ² = Npq = 1.875
σ = 1.3693
P(n) = 1/(σ√2π)e^-(n-μ)/(2σ²)
P(2) = 1/(1.3693√2π)e^-(2 - 2.5)/(2 (1.875))
P(2) = 33.3%
Pretty good, not great.
A polynomial in standard form has terms arranged with the highest exponent on leftmost side and the lowest exponent on the right end. The variables are also arranged alphabetically.
Therefore, the exponent of the x-term must be 2 for the polynomial to be fully simplified and written in standard form.
Answer:
Lateral areas have ratio of 4:1
Volumes have ratio of 8:1
Step-by-step explanation:
There is a rule in 3D geometry that when two solids are similar, and their edges are in the ratio of 
, the ratio of any surface area type measure is always 
this includes the lateral area, which is just a surface area minus the base, which is not important for this problem. The ratio of volumes of those similar solids is in the ratio of 
.
Now, to solve this, we need to find the ratio of any corresponding length of these similar pyramids. We have both the heights, so if we form a ratio of 
which if you simplify it, it is 
, which is 
. The ratio of the heights are 
.
Now we can apply those rules to this ratio, the ratio of lateral areas would then be 
, which is 
. the ratio of volumes would be 
, which is 
Well you just say 35 divided by 7 and you get 5
Cause 5 times 7 is 35
Answer:
The probability that an applicant does not get a job if he or she has an interview is 20%.
Step-by-step explanation:
- If the applicant has been interviewed, then she/he belongs to the group of 20 people that had an interview.
- 16 of the 20 people who were interviewed were offered a job, which means that 4 of the 20 people interviewed were not offered a job.
- Then, 4/20= 20% of the people who were intervied did not get a job, which means that the <u>probability that an applicant does not get a job if he/she were interviewed is 20%</u>.
- Pat attention: this probability results from analysing the probability of getting a job once you have had an interview (this condition restricts our attention to the group of 20 people who had an interview, and not to the hole group of 500 people who did apply for the job).
