4x^2-5x=-1
4x^2-5x+1=0
4x+2.24x=1
6.24x=1
x= 0.16025641025641025641025641025641
(1 + i)/(1 + 2i)
To simplify this, we need to multiply both sides by the conjugate.
(1 + i)(1 - 2i)
1 - 2i - i - 3i^2
Combine like terms.
3i^2 - 3i + 1
i^2 = -1
-3i - 2 is the simplified numerator.
(1 + 2i)(1 - 2i)
1 - 2i + 2i - 4i^2
1 - 4i^2
i^2 = -2
1 + 4
5
<h3><u>The simplified expression is ((-3i)/5) + ((-2)/5)</u></h3>
Answer:
C
Step-by-step explanation:
Recall the equation for a circle:
, where the center is (h,k) and the radius is r.
The given equation is:

Another way to write this is:

Thus, we can see that h=-5 and k=-7.
The center is at (-5, -7).
Answer:
1,2 and 3 because this three are positive numbers and when added and multipled both gives the same answer 6. 1,2 and 3 are the positive integers and the result of their addition and their multiplication is same .
Step-by-step explanation:
Answer:

Step-by-step explanation:
Z-score:
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 question:

You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.
We have to find Z when X = 17. So


