Answer:

Step-by-step explanation:
we know that
In this problem we have a exponential function of the form

where
y ----> represent the pool’s loss of water
x ----> the number of days
a is the initial value
a=25,700 gal
b ----> is the base
r=15%=15/100=0.15
b=(1-r)=1-0.15=0.85
The function is equal to

Answer:
Step-by-step explanation:
1,
-10,20,-40,80,...
common ratio=20/-10=-2
it is a geometric sequence.
2.
15,-5,-25,-45
common difference=-5-15=-20
it is an arithmetic sequence.
Answer: 0.0516
Step-by-step explanation:
Given : The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of
.
The probability mass function for Poisson distribution:-
For x= 15 and
, we have

Hence, the probability that exactly 15 defective components are produced in a particular day = 0.0516
Answer:
300
Step-by-step explanation:
A pyramid with a triangle-shaped base whose three triangular faces meet at the ap/ex. The triangular pyramid formula included both the volume and surface area of the pyramid. The triangular pyramid volume formula calculates the base area and the height whereas the surface area of the triangular pyramid calculates the base area, perimeter,, and slant height. Formulas for volume and surface area of the triangular pyramid are given below that are used in the triangular pyramid formula:
Volume= 1/3 × Base area × Height
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