The factorization if the given expression 128 + 2d³ is 2(64 + d³).
<h3>Factorization</h3>
128 + 2d³
There are two parameters in the expression;
The common factors between 128 and 2d³ is 2
So,
128 + 2d³
= 2(64 + d³)
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<span>c.)11 over 9, square root of 5, square root of 11, square root of 20, 2 to the power of 3
In order to compare, try to bring all of them into one similar form, like decimal.
Then, 11/9 = 1.22
Then, we can compare numbers under root, as 5 would be smaller than 11 which in turn is smaller than the 20, then 2^3 is 8, largest in series.
Hope this helps!</span>
Answer:
x=9
Step-by-step explanation:
Since the polygons are similar, the ratios of their respective sides are equal.
32/24=(x-1)/6
x-1=8
x=9
<span>Defective rate can be expected
to keep an eye on a Poisson distribution. Mean is equal to 800(0.02) = 16,
Variance is 16, and so standard deviation is 4.
X = 800(0.04) = 32, Using normal approximation of the Poisson distribution Z1 =
(32-16)/4 = 4.
P(greater than 4%) = P(Z>4) = 1 – 0.999968 = 0.000032, which implies that
having such a defective rate is extremely unlikely.</span>
<span>If the defective rate in the
random sample is 4 percent then it is very likely that the assembly line
produces more than 2% defective rate now.</span>
Answer:
Using the Law of Diminishing Marginal Utility, Jane would not be better off buying one more fry, since the marginal utility she obtains from the fries are lower when compared to the chicken sandwich; therefore, she would be better off ordering another chicken sandwich
