
We have the vertex (-4, -1), therefore we have:

Answer:
The probability that more than 6 samples are needed to have 2 mutations is P=0.866.
Step-by-step explanation:
This question can be analized with the binomial distribution.
We need to calculate the probability that more of 6 samples are needed to have 2 samples with mutations.
This is equal to the proability of taking 2 samples and getting one mutation or less.
Then we have a binomial distribution with n=6 and p=0.11:

Answer:
11.547 ft wide by 5.774 ft high
769.800 ft³ capacity
Step-by-step explanation:
Volume is maximized for a given area by having the area of a pair of opposite sides equal the area of the bottom. That means the overall area of the container is 3 times the area of the bottom. Then the square bottom will have a width of ...
w = √(400/3) ≈ 11.547 . . . feet
The height is half that, so is ...
h = w/2 = 11.547/2 ≈ 5.774 . . . feet
The capacity is then ...
w²h = (11.547 ft)²(5.774 ft) = 769.800 ft³
The container is 11.547 ft wide by 5.774 ft high. It has a capacity of 769.800 cubic feet.
_____
You want to maximize w^2h subject to w^2 + 4wh = 400. Solving the constraint equation for h, we get h = (400 -w^2)/(4w) and the volume we want to maximize can be written as ...
V = w(400-w^2)/4
This will be an extreme when dV/dw = 0, so we want to solve ...
dV/dw = 0 = 100 -(3/4)w^2
w^2 = 400/3
w = √(400/3) . . . . . as above
Answer: 10
Step-by-step explanation:
Given : The American Lung Association stated that approximately 1 out of every 20 deaths in the US last year was from lung cancer.
Then, the proportion of death will be :_

Now, If there are 200 students in a class, then the expected number of persons die from lung cancer :-

Hence, we expect the number of persons die from lung cancer =10
Yes. 2/7 would equals 6/21, and 6/21 is greater than 4/21.