Answer:
The equation of the parabola is given to be : y = -x² + 36
So, the airplane will cut the rainbow if the graph of the equation of airplane intersects the graph of rainbow.
Now, to find the equation of airplane :
The points through which airplane passes are : (1,0) and (0,2)
⇒ Equation : 2x + y = 2
This equation will intersect the parabola at exactly two points.
And the points are the solution of these two equation :
(-4.916,11.832) and (6.916,-11.832)
The required table is :
x -4.916 11.832
y 6.916 -11.832
Answer:
28 units³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = Al ( A is the area of end face and l is the length )
Here A =
and l =
, thus
V =
×
( cancel 21 and 3 by 3 and 2 and 8 by 2 )
=
×
= 7 × 4 = 28 units³
Answer:
The answer is 3/4 which isn't among the choices.
Step-by-step explanation:

Using the Poisson distribution, the probabilities are given as follows:
A. 0.0888 = 8.88%.
B. 0.1354 = 13.54%.
C. 0.8646 = 86.46%.
<h3>What is the Poisson distribution?</h3>
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

The parameters are:
- x is the number of successes
- e = 2.71828 is the Euler number
is the mean in the given interval.
Item a:
10 hours, 2 calls per hour, hence the mean is given by:
.
The probability is P(X = 20), hence:


Item b:
1 hour, hence the mean is given by:

The probability is P(X = 0), hence:


Item c:
The probability is:

More can be learned about the Poisson distribution at brainly.com/question/13971530
#SPJ1
Answer:
201.06
Step-by-step explanation:
You can plug in the 8 from the circle into the equation to find the area.