Answer:
P(B/C) = 0.3333
Step-by-step explanation:
let's call B the event that a woman was wearing a belt and C the event that a woman was carrying a purse.
The probability P(B/C) that a woman was wearing a belt, given that the woman was also carrying a purse can be calculated as:
P(B/C) = P(B∩C)/P(C)
Where P(C) is the probability that a woman was carrying purse and P(B∩C) is the probability that the woman was both carrying purse and wearing belt.
So, P(C) is calculated as:
P(C) = 18 / 30 = 0.6
Because there were 30 women that walked by in an hour and of those women, 18 were carrying purses.
At the same way, P(B∩C) is equal to:
P(B∩C) = 6 / 30 = 0.2
Finally, P(B/C) is equal to:
P(B/C) = 0.2/0.6 = 0.3333
Answer:
Step-by-step explanation:
In a G.P, the nth term is given as
Un=ar^(n-1)
Where
a is first term
n is nth term
And r is common ratio
So in the question given above,
The third term exceed the first term by 16
i.e U3=U1+16
Where U1=a. First term
U3=a+16
Given also that, the sum if the third term and fourth term is 72.
Then U3+U4=72.
We are told to find common ratio (r)
U3=ar^3-1
U3=ar^2
Also, U4=ar^3
U3+U4=72
ar^2+ar^3=72
ar^2(1+r)=72. equation 1
Also for
U3=a+16
ar^2=a+16
ar^2-a=16
a(r^2-1)=16. From (x^2-y^2)=(x+y)(x-y)
Then,
a(r-1)(r+1)=16. Equation 2
Divide equation 2 by equation 1
a(r-1)(r+1)/ar^2(1+r) =16/72
Then a cancel a and (1+r) cancel (1+r)
So,
(r-1)/r^2=2/9
Cross multiply
9(r-1)=2r^2
2r^2-9r+9=0
Solving the quadratic equation
2r^2-6r-3r+9=0
2r(r-3)-3(r-3)=0
(r-3)(2r-3)=0
r-3=0. Or. 2r-3= 0
Then r=3 or r=3/2
A=(3.14)r^2
A=(3.14)3^2
A=(3.14)9
A=28.26ft^2
Hope it helps and is correct :)
Answer:
a=-2
We move all terms to the left:
2(2a+3)-6-(5a+2)=0
We multiply parentheses
4a-(5a+2)+6-6=0
We get rid of parentheses
4a-5a-2+6-6=0
We add all the numbers together, and all the variables
-1a-2=0
We move all terms containing a to the left, all other terms to the right
-a=2
a=2/-1
a=-2
Step-by-step explanation:
We move all terms to the left:
2(2a+3)-6-(5a+2)=0
We multiply parentheses
4a-(5a+2)+6-6=0
We get rid of parentheses
4a-5a-2+6-6=0
We add all the numbers together, and all the variables
-1a-2=0
We move all terms containing a to the left, all other terms to the right
-a=2
a=2/-1
a=-2
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Answer:
Tips or taxes add money to a bill. This is the same as a markup. Markdowns are the same as discounts. They take a percentage off a bill
Step-by-step explanation:
