4{2a(3a-b)+3ab}+5{3b(a+2b)-4ab}

Mathematics

1 answer:

Paraphin [41]3 years ago

5 0

Follow order of operations.
Distribute what is in the parentheses.
4[6a^2 -2ab +3ab] + 5[3ab + 6b^2 -4ab]

Combine like terms in the brackets.
4[6a^2 + 3ab] + 5[-1ab + 6b^2]

Distribute the 4 and the 5.
24a^2 + 12ab -5ab + 30b^2

Combine like terms.
24a^2 +7ab + 30b^2

That's your final answer:
24a^2 +7ab + 30b^2

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cupoosta [38]

Answer:

The cutoff sales level is 10.7436 millions of dollars

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12, \sigma = 1.2$