6m3 - 16m2 + 15m - 40<span> Simplify —————————————————————
2m2 + 5
</span>Checking for a perfect cube :
<span> 4.1 </span> <span> 6m3 - 16m2 + 15m - 40</span> is not a perfect cube
Trying to factor by pulling out :
<span> 4.2 </span> Factoring: <span> 6m3 - 16m2 + 15m - 40</span>
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 15m - 40
Group 2: <span> -16m2 + 6m3</span>
Pull out from each group separately :
Group 1: (3m - 8) • (5)
Group 2: <span> (3m - 8) • (2m2)</span>
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Add up the two groups :
<span> (3m - 8) • </span><span> (2m2 + 5)</span>
<span>Which is the desired factorization</span>
<span>3m-8 is the answer</span>
S=weight of soybean protein, C=weight of cornmeal protein.
Total weight of each protein is 0.18S+0.19C=0.17×360=61.2 lb.
Total weight of meal is S+C=360 lb. So S=360-C.
Therefore 0.18(360-C)+0.19C=61.2, 64.8-0.18C+0.19C=61.2, 0.01C=-3.6.
Clearly we would get a negative value for C. When you look at the question you will realise that there is a larger percentage of protein in the ingredients than there is in the mixture. The expected amount of protein in the mixture should be between 18% and 19%. Please check your figures.
Answer:
Ty for the free poiunts!
Step-by-step explanation:
You got the answer right LLO
Total fish = 100
Carp = 30
Number of fish caught = 20
The random variable X follows hyper-geometric distribution.
Mean = 30 *20 / 100 = 600/100 = 6
Variance = 30*20/100 * ((20-1)*(30-1)/100-1 + 1-30*20/100)
Variance = 600/100 * 56/99
Variance = 112/33
Assumptions: Is that X follows hyper-geometric distribution with the given information.
