Answer:
Option 2 is right
Step-by-step explanation:
Given that
We can write this in polar form with modulus and radius
Hence angle = 60 degrees and
Since we have got 5 roots for z, we can write 60, 420, 780, etc. with periods of 360
Using Demoivre theorem we get 5th root would be
5th root of 2 multiplied by 1/5 th of 60, 420, 780,....
Out of these only 2nd option suits our answer
Hence answer is Option 2.
36,630 & 36,629 because if you add 6,930+29,700=36,630 so if you go back from 630 you get 629 so it's 36,30 & 39,629
The correct option regarding the outliers of the data-set is given by:
The greatest value, 78, is the only outlier.
<h3>How to use the quartiles of a data-set to identitfy outliers?</h3>
- The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
- The first quartile is the median of the first half of the data-set.
- The third quartile is the median of the second half of the data-set.
- The interquartile range is the difference of the third quartile with the first quartile.
- Measures that are more than 1.5 IQR from Q1 and Q3 are considered outliers.
The IQR for this problem is:
IQR = 37 - 13 = 24.
Hence the bounds for outliers are:
- Less than 13 - 1.5 x 24 = -23.
- Greater than 37 + 1.5 x 24 = 73,
The options are:
- Both 1 and 78 are outliers.
Hence the correct option is that only 78 is an outlier.
More can be learned about outliers of a data-set at brainly.com/question/17083142
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The final cost is $48.23
To find that you had to change the 6% to a decimal, which will be 0.06. Then you'd multiply 0.06 with 45.50 which will give you 2.73
Finally you'll add $2.73 with 45.50 to get $48.23
Answer:
d =
Step-by-step explanation:
6(2c + 3d) = 5(4c - 3d)
6(2c) + 6(3d) = 5(4c) - 5(3d) distribute out the terms
12c + 18d = 20c - 15d
18d + 15d = 20c - 12c get all like terms onto the same side
33d = 8c
d = divide by 33 to isolate the d variable