Answer:
The required probability is 0.533.
Step-by-step explanation:
Consider the provided information.
The actual weight of the chocolate has a uniform distribution ranging from 31 to 32.5 ounces.
Let x is the random variable for the actual weight of chocolate.
According to PDF function.

Where 
It is given that ranging from 31 to 32.5 ounces.
Substitute a=31 and b=32.5 in above function.


We need to find the probability that a box weighs less than 31.8 ounces
Now according to PDF:


Hence, the required probability is 0.533.
An Investment of $10,000 yields 8% interest compounded quarterly. The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47
From the information given;
- The principal amount of investment = $10,000
- Interest Rate = 8% = 0.08
- number of times it get compounded = 4
a. we are to determine the amount of the accumulated capital after 6 months.
- i.e. when time (t) = 6 months.
Now, using the formula for calculating the amount value of the accumulated capital:



A = $10,404
b. we are to determine the amount of the accumulated capital after 5 years
- i.e. when time (t) = 5 years



A = $14859.47
Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47
Learn more about compound interest here:
brainly.com/question/14295570?referrer=searchResults
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y=43x^2-43*32^2
Answer: SORRY NEED AN ACCOUNT ON - 10
Step-by-step explanation:
Answer:
b
Step-by-step explanation: