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3 years ago

Which is the value of i^20+1?

Mathematics

1 answer:

Nonamiya [84]3 years ago

8 0

Answer:

Step-by-step explanation:

$i^{20}+1=i^{2*10}+1\\\\(i^{2})^{10}+1=(-1)^{10}+1\\\\=1+1=2$

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Alina [70]

2:3

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3 years ago

Algebra 1: Which of the following is the correct slope between (1, -1) and (2, 3)?

blsea [12.9K]

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2 years ago

Read 2 more answers

An oak tree cast a shadow of 14 feet. A 30 foot flagpole casts a shadow of 60 how tall the Oak tree?

Alina [70]

Answer:

7 feet

Step-by-step explanation:

Oak tree = x

14 : x as 60 : 30

Simplify the right ratio

14 : x as 2:1

Get the same first number in both ratios by multiplying 2:1 by 7

14 : x as 2(7) + 1(7)

14 : x as 14 : 7

Since the first number in each ratio is the same, we know that that x and 7 are equal

x = 7

Hope this helps, feel free to let me know if you would like a further explanation :)

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3 years ago

Pencils A hexagonal pencil is a regular hexagonal prism, as shown

sukhopar [10]

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2 years ago

what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed

kramer

Answer:

$P(x \le 21) = 0.69146$

Step-by-step explanation:

The missing parameters are:

$n = 64$ --- population

$\mu = 20$ --- population mean

$\sigma = 16$ -- population standard deviation

Required

$P(x \le 21)$

First, calculate the sample standard deviation

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{16}{\sqrt {64}}$

$\sigma_x = \frac{16}{8}$

$\sigma_x = 2$

Next, calculate the sample mean $\bar_x$

$\bar x = \mu$

So:

$\bar x = 20$

So, we have:

$\sigma_x = 2$

$\bar x = 20$

$x = 21$

Calculate the z score

$x = \frac{x - \mu}{\sigma}$

$x = \frac{21 - 20}{2}$

$x = \frac{1}{2}$

$x = 0.50$

So, we have:

$P(x \le 21) = P(z \le 0.50)$

From the z table

$P(z \le 0.50) = 0.69146$

So:

$P(x \le 21) = 0.69146$

4 0

2 years ago