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Andre45 [30]
3 years ago
5

What is the difference of (5 + 3i) and (2 + 9i)?

Mathematics
1 answer:
ehidna [41]3 years ago
7 0

Answer:

3+12i

Step-by-step explanation:

The difference of 5+3i and 2 + 1999 can be calculated as follows

= 5+3i - 2+9i

Collect the like terms

= 5-2+3i+9i

= 3+12i

Hence the difference of 5+3i and 2+9i is 3+12i

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The volume of a cubical box is
creativ13 [48]

The sides length of the cubical box is 3.8 cm if the volume of a cubical box is 54.872 cm³ option second is correct.

<h3>What is a cube?</h3>

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have a volume of a cubical box is 54.872 cm³

V = 54.872 cm³

As we know the volume of the cube:

V = side³

54.872 = side³

Taking cube root on both sides:

side = 3.8 cm

Thus, the sides length of the cubical box is 3.8 cm if the volume of a cubical box is 54.872 cm³ option second is correct.

Learn more about the cube here:

brainly.com/question/15420947

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8 0
1 year ago
Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a
Diano4ka-milaya [45]

Answer:

a) The standard error would be of 8.58 pounds.

b) The margin of error is 14.11 pounds.

c) The 90% confidence interval for the population mean is between 232.89 pounds and 261.11 pounds

Step-by-step explanation:

a.What is the standard error?

The standard error is

s = \frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample. So

s = \frac{47}{\sqrt{30}} = 8.58

The standard error would be of 8.58 pounds.

b.What is the margin of error at 90% confidence?

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*s = 1.645*8.58 = 14.11

The margin of error is 14.11 pounds.

c. Using my sample of 30, what would be the 90% confidence interval for the population mean?

Lower bound: Sample mean subtracted by the margin of error.

247 - 14.11 = 232.89 pounds

Upper bound

247 + 14.11 = 261.11 pounds

The 90% confidence interval for the population mean is between 232.89 pounds and 261.11 pounds

4 0
3 years ago
Select the correct answer.
kherson [118]

Answer:

d.2/6 has a repeating decimal form

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3 years ago
Jocelyn is knitting a blanket she knits 1/4 foot of the scarf in 3/4 of an hour how fast is jocelyn’s knitting speed in feet per
Alchen [17]
Her speed per hour is 1/3 of a foot
4 0
3 years ago
I am a number between 10 and 25. I am a multiple of 8 and one of my digits is 2 what number am I?
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24 could be it................
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3 years ago
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