Remember that mixed fractions are equivalent to the sum of the whole number and the fraction. Thus, we can start by simplifying the mixed fraction like so:
![14 \dfrac{52}{60} = 14 + \dfrac{52}{60} = \dfrac{892}{60} Now, realize that both 892 and 60 have a common factor of 4, which means that we can divide both the numerator and the denominator by 4. This gives us:[tex]\dfrac{892 \div 4 }{60 \div 4} = \dfrac{223}{15}](https://tex.z-dn.net/?f=14%20%5Cdfrac%7B52%7D%7B60%7D%20%3D%2014%20%2B%20%5Cdfrac%7B52%7D%7B60%7D%20%3D%20%5Cdfrac%7B892%7D%7B60%7D%3C%2Fp%3E%20%3Cp%3ENow%2C%20realize%20that%20both%20892%20and%2060%20have%20a%20common%20factor%20of%204%2C%20which%20means%20that%20we%20can%20divide%20both%20the%20numerator%20and%20the%20denominator%20by%204.%20This%20gives%20us%3A%3C%2Fp%3E%3Cp%3E%5Btex%5D%5Cdfrac%7B892%20%5Cdiv%204%20%7D%7B60%20%5Cdiv%204%7D%20%3D%20%5Cdfrac%7B223%7D%7B15%7D)
Thus, 14 52/60 simplifies to 223/15.
<h3>
Answer: D) Not binomial: there are more than two outcomes for each trial. </h3>
Explanation:
Replacement is being done, so each trial is independent. However, the outcomes are values from this set {0,1,2,3,4,5,6,7,8} which represent the number of red marbles chosen. Since we do not have two outcomes, we do not have a binomial distribution. If instead you made the outcomes {red, not red}, then you would have two outcomes and it would be a binomial distribution.
M5: <u>50,55,60,65,70,75,80,85,90,95</u>
M5 П M10: <u>50,60,70,80,90</u>
M5 П M10 П M8: <u>80</u>
<em>Answer:80</em>
<h3>Answer: 787.25 dollars</h3>
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Work Shown:
A = final amount after t years = 1000
P = initial deposit = unknown
r = interest rate in decimal form = 0.08
n = compounding frequency = 12
t = number of years = 3
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A = P*(1+r/n)^(n*t) is the compound interest formula
1000 = P*(1+0.08/12)^(12*3)
1000 = P*1.27023705162066
1.27023705162066P = 1000
P = 1000/1.27023705162066
P = 787.254629932364
P = 787.25 rounding to the nearest penny
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note: this assumes that the interest rate stays at 8% the entire three year period; also, you cannot withdraw any money from the account during this time period.
