Answer:
0.994 = 99.4% probability that a 10-cubic-foot block of the wood has at most 5 knots.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
1.6 knots in 10 cubic feet of the wood.
This means that 
Find the probability that a 10-cubic-foot block of the wood has at most 5 knots.

In which








0.994 = 99.4% probability that a 10-cubic-foot block of the wood has at most 5 knots.
Answer:

Step-by-step explanation:
We are given that a student needs to make a square cardboard piece.
Perimeter of cardboard should be equal to atleast 92 inches
We have to find that which shows reasonable domain for f(s)
Let s be the side of square cardboard
We know that perimeter of square =f(s=)
Then, perimeter of cardboard=

Dividing by 4 on both sides

Hence, the domain of function
Therefore, option d is true.
Answer:d: 
Since the values are equally likely and equally spaced, their mean is the middle one.
the mean is 1/5
The variance is the average of the square of the deviations from the mean.
σ² = (1/3)((-1/10)² + 0² + (1/10)²) = 2/300
the variance is 2/300
Parameterize this surface (call it
) by

with
and
. Take the normal vector to
to be

Then the area of
is


