Answer:
0.0064
0.00032
Step-by-step explanation:
Given the details:
P(X > 3), n = 5, p = 0.2
The binomial distribution is related using the formula:
P(x = x) = nCx * p^x * q^(n-x)
q = 1 - p = 1 - 0.2 = 0.8
P(X > 3) = p(x = 4) + p(x = 5)
P(x = 4) = 5C4 * 0.2^4 * 0.8^1 = 5 * 0.2^4 * 0.8^1 = 0.0064
P(x = 5) = 5C5 * 0.2^5 * 0.8^0 = 1 * 0.2^5 * 0.8^0 = 0.00032
He had put in $300 and got out $336 at the end of the year.
This means an increase of $36 over a year.
10% of $300 = $30 dollars
This shows that he definitely got more than a 10% increase.
Alan got $6 more than $30 so to find 6 from 30, you divide by 5
so ( 10% = $30 ) divided by 5 = ( 2% = $6 )
Adding the amount of money and percentages gives you 12% = $36
So the amount of mpercentage increase is 12%
Overall the amount of money in his bank now compared to when he deposited it, he has 112% in the bank.
Answer: -8 square root of 3 (choice a)
Step-by-step explanation:
You have to find 2 numbers that multiply to 48 and in the same time, 1 of these numbers is a perfect square. In this case, the numbers are 16 and 3. So -2√16*3
Then since 16 is. A perfect square, and the square root is 4, you take out the 4 and multiply it by -2 so that is -8 and now you are left with -8√3. Hopefully that helped.