Answer:
$3599.57
Step-by-step explanation:
Using the compound interest formula Accrued Amount = P (1 + r)^t
where Accrued amount is to be determined
P = principal; $3200
r = 4% = 0.04
t = number of years = 3
Therefore
Accrued amount = 3200 (1 + 0.04)^3
= 3200 x 1.04^3
= 3200 x 1.1249
= 3599.57
The total amount after 3 years is $3599.57
Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
Hello,
In this pattern you can notice that the numbers and letters alternate, 1 by 1. Also, from each number to the next, 3 is added. (4 + 3 = 7, 7 + 3 =10, 10 + 3 = 13). For the letters, it goes in alphabetical order with two letters being skipped between each letter. (D, G, J).
Based on the number letter pattern, the last value is a number indicating a letter is next. Now, we just follow the same "skip two" letters pattern to get from J to M.
I believe M is the answer.
Hope this helps!
Y = 3/4x - 5/2....subtract 3/4x from both sides
-3/4x + y = -5/2 ....multiply everything by common denominator of 4
-3x + 4y = -10
