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3 years ago

Find all complex solutions to the equation x3+27i=0

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

8 0

Answer:

x= -3∛i

Hope this helps!

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What is equivalent to the expression?

Olegator [25]

Answer:

1/16

Step-by-step explanation:

$(2^{2})^{-2} \\2^{2*(-2)} \\ 2^{-4} \\ \frac{1}{2^{4} } \\\frac{1}{16}$

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3 years ago

PLEASE HELP!! Justin works from home and is paid $0.60 each for the first 100 models assembled. For each

qwelly [4]

Answer and work down below. Let me know if you have questions

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4 years ago

A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his s

Hunter-Best [27]

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

$H_o: \mu = 178$

Alternative hypothesis:

$H_1: \mu \neq 178$

The t-test statistics is determined by using the formula:

$t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}$

$t = \dfrac{-0.5}{\dfrac{2}{5}}}$

$\mathbf{t= -1.25}$

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value = 2.064

Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small

5 0

3 years ago

In a neutral atom that has an atomic mass of 22 and atomic number of 12, how many neutrons does this element have?

lozanna [386]

Given :

In a neutral atom that has an atomic mass of 22 and atomic number of 12.

To Find :-

The number of neutrons .

Solution :-

As we know that,

n(neutrons) + n(protons) = A
n(neutrons) + 12 = 2 2
n(neutrons) = 22-12
n(neutrons) = 10

Hence the required answer is 10.

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3 years ago

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I already finished it but how do you know if it’s decreasing or increasing?

nexus9112 [7]

Answer:

If the slope is positive it is increasing if the slope is negative it is decreasing :)

Example:

Y=mX+b

If m is positive it is a positive slope

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3 years ago

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