I believe that would be 49
Answer:
The probability that he picked 2 purpled socks is <u>0.33</u>.
Step-by-step explanation:
Given:
Number of purple socks, 
Number of orange socks, 
Two socks are picked without replacement.
Now, total number of socks, 
Probability of picking the first cap as purple cap is given as:

Since there is no replacement, the number of socks decreases by 1. Also, if the first sock picked is purple, then number of purple socks is also decreased by 1.
Therefore, probability of picking the second cap as purple cap is given as:

Now, probability that both the picked caps are purple is given by their probability product. This gives,

Therefore, the probability that he picked 2 purpled socks is 0.33
Answer:
a) amount in the bank after 7 years if interest is compounded quarterly is $6,605
b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57
Step-by-step explanation:
We are given:
Principal Amount P= 5000
Rate r= 4% = 0.04
time t = 7 years
The formula used is: 
where A is future value, P is principal amount, r is rate, n is compounded value and t is time
a) Find the amount in the bank after 7 years if interest is compounded quarterly?
If interest is compounded quarterly then n = 4
Using values given in question and finding A

So, amount in the bank after 7 years if interest is compounded quarterly is $6,605
b) Find the amount in the bank after 7 years if interest is compounded monthly?
If interest is compounded quarterly then n = 12
Using values given in question and finding A

So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57
Answer:3x^2-5x+2=0
Step-by-step explanation:
Format of a quadratic equation= ax^2 +bx+c
Let x=1 and 2/3
When x=1
x-1=0.......(1)
When x=2/3
x-2/3=0.........(2)
Compare the equations
(x-1)(x-2/3)=0
x^2-2/3x-x+2/3=0
x^2-5/3x+2/3=0
Multiply all terms by 3
3x^2-5x+2=0