Answer:
C. $20,000
Step-by-step explanation:
2,824*$7.50=$21,315
To begin lets say year one the population is 2,000
assume this in percent we can say that 2,000=100%
at the end of this year the population will have grown by 4% meaning that
100%+4% will be the new population =104%
but we know that 100%=2,000 so what about 104%=X?
so (104*2000)/100=2,080
So year 1 the population will have grown by 80 people amounting to 2080 people.
Now do it manually year by year until we reach the 15th year. i will help you up to year 3
2nd year= (2080*104)/100=2163.2
3rd year= (2163*104)/100=2249.728
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Answer:
The answer is 256 
.
Step-by-step explanation:
To solve for the volume of the sphere, start by using the sphere volume formula, which is V = 
. However, in this formula, 3 will be used instead of (
).
Next, plug in the information given from the problem, and the formula will look like V = 
(3) (
).
Then, solve the equation, and the answer will be 256 .
Answer:
P(A|D) and P(D|A) from the table above are not equal because P(A|D) = and P(D|A) =
Step-by-step explanation:
Conditional probability is the probability of one event occurring with some relationship to one or more other events
.
P(A|D) is called the "Conditional Probability" of A given D
P(D|A) is called the "Conditional Probability" of D given A
The formula for conditional probability of P(A|D) = P(D∩A)/P(D)
The formula for conditional probability of P(D|A) = P(A∩D)/P(A)
The table
↓ ↓ ↓
: C : D : Total
→ A : 6 : 2 : 8
→ B : 1 : 8 : 9
→Total : 7 : 10 : 17
∵ P(A|D) = P(D∩A)/P(D)
∵ P(D∩A) = 2 ⇒ the common of D and A
- P(D) means total of column D
∵ P(D) = 10
∴ P(A|D) =
∵ P(D|A) = P(A∩D)/P(A)
∵ P(A∩D) = 2 ⇒ the common of A and D
- P(A) means total of row A
∵ P(A) = 8
∴ P(D|A) =
∵ P(A|D) =
∵ P(D|A) =
∵ ≠
∴ P(A|D) and P(D|A) from the table above are not equal
Step-by-step explanation:
Answer:
360 miles
Step-by-step explanation:
When the second car catches up with the first car they will have travelled the same distance which we call x miles.
Speed = distance / time
For first car 60 = x / t where t = time taken
giving x = 60t
for second car 90 = x / (t - 2)
giving x = 90t - 180
So equating these 2 equations
60t = 90t - 180
30t = 180
t = 6 hours
So x the distance = 60t = 360 miles answer
