Answer:
(5x - 3y)(25x² +15xy + 9y²)
Step-by-step explanation:
125x³ - 27y³ is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²)
Given
125x³ - 27y³
= (5x)³ - (3y)³
= (5x - 3y)((5x)² + (5x)(3y) + (3y)²)
= (5x - 3y)(25x² + 15xy + 9y²)
Answer:
that would be 16 dollars
Step-by-step explanation:
80.00 multiplied by .2 equals 16
5 would be the dependent variable because the number 5 depends on how many greeting cards are bought.
Answer:
Probability of atleast one of 12 student has food allergies ≈ 0.58 ( approx)
Step-by-step explanation:
Given: Probability of a children under age 5 has food allergies = 7%
=
To find : Probability of atleast one of 12 student has food allergies
Probability of a chindren under age 5 does not have food allergies = 
⇒ prob = 
now we find Probability of atleast one of 12 student has food allergies this means we have to find prob of 1 student, 2 student, 3 student, till 12 student have allergy out of 12 student of class then add all prob.
But instead of finding all these probability we find probability of student having no allergy.i.e., 0 student then subtract it from 1(total probability)
Probability of 0 student having allergy out of 12 student = 
Therefore, Probability of atleast one of 12 student has food allergies
= 
= 
≈ 0.58 ( approx)
Answer:
The number of bacteria
after
days is given by

where
is the initial number of bacteria.
Step-by-step explanation:
The number of bacteria
in the sample triples every 10 days, this means after the first 10th day, the number of bacteria is

where
is the initial number of bacteria in the sample.
After the 2nd 10th days, the number of bacteria is

after the 3rd day,

and so on.
Thus, the formula we get for the number of bacteria after the <em>n</em>th 10-days is

where
is is the <em>n</em>th 10-days.
Since,
is 10 days, we have

or

Substituting that into
, we get:
