Answer:
21 + 12i
Step-by-step explanation:
Given
(3 - 4i)(1 + 5i) - (2 - i) expand the product of factors
= 3 + 11i - 20i² - 2 + i
= 3 + 11i + 20 - 2 + i collect like terms
= 21 + 12i
200 which can be 2 100ths
<span>3 times 7 plus 4 to the second power minus 14 divided by 2
=> 3 x 7 + 4^2 - 14 / 2
Let's group this one.
=> (</span><span>3 x 7) + 4^2 - (14 / 2)
=> 21 + 16 - 7
=> 30
The answer is 30.</span>
Answer:
23.89% probability that a randomly selected firm will earn more than Arc did last year
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
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:
If incomes for this industry are distributed normally, what is the probability that a randomly selected firm will earn more than Arc did last year
This is 1 subtracted by the pvalue of Z when X = 85. So
has a pvalue of 0.7611
1 - 0.7611 = 0.2389
23.89% probability that a randomly selected firm will earn more than Arc did last year