Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 50% syrup?
1 answer:
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Answer:
a) 80% probability that x lies between 7 and 27.
b) 28% probability that x lies between 6 and 13.
c) 44% probability that x lies between 9 and 20.
d) 28% probability that x lies between 11 and 18.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value x between c and d, in which d is larger than c, is given by the following formula.
Uniform distribution from a = 4 to b = 29
(a) Find the probability that x lies between 7 and 27.
So
80% probability that x lies between 7 and 27.
(b) Find the probability that x lies between 6 and 13.
So
28% probability that x lies between 6 and 13.
(c) Find the probability that x lies between 9 and 20.
So
44% probability that x lies between 9 and 20.
(d) Find the probability that x lies between 11 and 18.
So
28% probability that x lies between 11 and 18.
The annual interest rate on the saving account of Xavier which is earned simple interest is 9%.
<h3>What is simple interest?</h3>Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
The formula for the simple interest can be given as,
Here, (<em>I</em>) is the interest amount on the principal amount of (<em>P</em>) with the rate of (<em>r</em>) in the time period of (<em>t</em>).
Xavier opened a savings account with a deposit of $12,000. At the end of 3 years, the account balance was $12,324.
The principal amount is $12000 and the total amount is $12324. Thus, the interest earned by the Xavier is,
Total time period is 3 years and the account earned simple interest. Thus, put these values in the above formula as,
Hence, the annual interest rate on the saving account of Xavier which is earned simple interest is 9%.
Learn more about the simple interest here;