This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.
∴N(c₁) =

N(c₂) =

∴N(c₁c₂) =

∴ Number of positive integers that are not divisible by 4 or 6,
N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
Answer:
37.68cm
Step-by-step explanation:
C = 2
r
C = circumference
= the constant pi (3.14)
r = radius of the circle (6cm)
d = diameter of the circle (12cm)
d = 2r
C = 2 · 3.14 · 6
C = 37.68cm
Answer:
60.75
Step-by-step explanation:
sinA sinB
------- = -----
a b
sin(79)/9 = sinB/8
inverse sin B = 0.87
B = 60.75
Answer:
Step-by-step explanation:
81/153 x/100
81•100=8,100
8,100/153
52.9
Answer:
Approximately 62 gallons of water will be used by Lee County by the year 2025.
Step-by-step explanation:
The amount, in millions gallons of water, spent by Lee County, in t years after 2019, is given by the following equation:

In which P(0) is the amount spent on 2019 and r is the increse rate, as a decimal.
In the year 2019, Lee County used approximately 55 million gallons of water.
This means that 
Historical trends show that each year the water demand is increasing by a rate of approximately 2.1%.
This means that 
So



Approximately how many million gallons of water will be used by Lee County by the year 2025?
2025 is 2025 - 2019 = 6 years after 2019. So this is P(6).



Rounded to the nearest millions
Approximately 62 gallons of water will be used by Lee County by the year 2025.