The question is incomplete. Below you will find the missing contents.
The correct match of events with order are,
- P(A)P(B|A) - Dependent event
- P(A)+P(B) - Mutually exclusive events
- P(A and B)/P(A) - Conditional events
- P(A) . P(B) - Independent Events
- P(A)+P(B) -P(A and B) - not Mutually exclusive events.
When two events A and B are independent then,
P(A and B)=P(A).P(B)
when A and B are dependent events then,
P(A and B) = P(A) . P(B|A)
When two events A and B are mutually exclusive events then,
P(A and B)=0
So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)
P(A) + P(B) = P(A or B)
When events are not mutually exclusive then the general relation is,
P(A or B) = P(A) + P(B) - P(A and B)
If the probability of the event B conditioned by A is given by,
Hence the correct match are -
Dependent event 
Mutually exclusive events 
Conditional events 
Independent Events 
not Mutually exclusive events.
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In the garden club there are 18 ladies and 2 gentlemen.
Given, In a garden club, 90% is ladies.
The number of ladies is 12 more than 3 times the number of gentlemen.
Let the total members be, x
the number of ladies be, l and the number of gentlemen be, g
according to the question,
l = 90x/100
l = 9x/10
also, l = 12 + 3g
g = (l - 12)/3
as, l + g = x
9x/10 + (9x/10 - 12)/3 = x
9x/10 + 9x/30 - 4 = x
36x/30 - 4 = x
6x/30 = 4
x = 20
so, ladies be, l = 9x/10 = 18
and gentlemen be, g = 20 - 18 = 2
Hence, in the garden club there are 18 ladies and 2 gentlemen.
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The answer is 2,596 so it would be C
Answer:
Im pretty sure I saw this question.. 228
Step-by-step explanation:
After 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.
<h3>What is an exponential function?</h3>
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent. 
where a is a constant and a>1
We have:
A philanthropist pledges to donate 10% of a fund each year.
We can find the amount left after 7 years as follows:
A = 450000(1 - 0.1)⁷
10% of a fund each year.
Rate r = 10% = 0.1
A = 450000(0.9)⁷
A = $2152336.05
Thus, after 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.
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