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jolli1 [7]
2 years ago
7

In the complex number system, which of the following is equal to

Mathematics
2 answers:
jeka942 years ago
8 0

Step-by-step explanation:

(14+2i)(7+12i)=14×7+14×12i+2i×7+2i×12i

=98+168i+14i−24

=74+182i

pogonyaev2 years ago
3 0

Answer:

C) 122+154i

Step-by-step explanation:

(14-2i)(7+12i)\\\\(14)(7)+(14)(12i)+(-2i)(7)+(-2i)(12i)\\\\98+168i-14i-24i^2\\\\98+154i-24(-1)\\\\98+154i+24\\\\122+154i

Therefore, C is correct. Recall that i^2=-1

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Solve for x in the equation x2 + 4x-4-8.
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Answer:

Ox=26+7

Step-by-step explanation:

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3 years ago
There are two pizzas. Conor ate 1⁄4 of a pizza, Brandon 2⁄8, Tyler 3⁄4, and Audrey4⁄8. Who ate the most of the two pizzas? 
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B. Tyler ate the most of the two pizzas. 
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Read 2 more answers
A company that makes shampoo wants to test whether the average amount of shampoo per bottle is 16 ounces. The standard deviation
S_A_V [24]

Answer:

The correct option is 16.041 ounces.

Step-by-step explanation:

A single mean test can be used to determine whether the average amount of shampoo per bottle is 16 ounces.

The hypothesis can be defined as:

<em>H₀</em>: The average amount of shampoo per bottle is 16 ounces, i.e. <em>μ</em> = 16.

<em>Hₐ</em>: The average amount of shampoo per bottle is different from 16 ounces, i.e. <em>μ</em> ≠ 16.

The information provided is:

n=64\\\sigma=0.20\\\alpha =0.10

We can compute a 90% confidence interval to determine whether the population mean is 16 ounces or not.

Since the population standard deviation is known we will compute the <em>z-</em>interval.

The critical value of <em>z</em> for 90% confidence interval is:

z_{0.05}=1.645

*Use a <em>z-</em>table.

Compute the 90% confidence interval for population mean as follows:

CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}\\

Since the sample size is quite large, according to the law of large numbers the on increasing the sample size, the mean of the sample approaches the whole population mean.

So, the 90% confidence interval estimate for sample mean is:

CI=\mu\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}\\=16\pm 1.645\times \frac{0.20}{\sqrt{64}}\\=16\pm0.041125\\=(15.958875, 16.041125)\\\approx (15.959, 16.041)

Thus, the correct option is 16.041 ounces.

3 0
2 years ago
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jeka57 [31]

Answer:

x= 8/9

Step-by-step explanation:

You must divide 8/21 & 3/7 As a fraction.

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3 years ago
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MrRissso [65]

Answer:

There are 24 boys and 4 teachers.

Step-by-step explanation:

To get 18, you multiply 3 by 6. To get 24, you multiply 4 by 6.

You add 18 and 24 together to get 42, which is double 21 and there are 2 teachers for every 21 students

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