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3 years ago

I can't figure out how to do this question. simplify the imaginary number in the picture above please

Mathematics

1 answer:

Alona [7]3 years ago

3 0

Answer:

-i(6/7)√2

Step-by-step explanation:

$\displaystyle -\sqrt{-\frac{72}{49}}=-\sqrt{-1}\sqrt{\frac{36}{49}}\sqrt{2}\\\\=-i\frac{6}{7}\sqrt{2}$

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3 years ago

Unit rates 25 letters in 4 days

jeka94

25/4= 6.25

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2 years ago

A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 3%

andre [41]

Answer: a) 683 b) 1067

Step-by-step explanation:

The confidence interval for population proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

a) Given : Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}}=\pm1.96$

Margin of error : $E=0.03$

Formula to calculate the sample size needed for interval estimate of population proportion :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.2(0.8)(\dfrac{1.96}{0.03})^2=682.951111111\approx683$

Hence, the required sample size would be 683 .

b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-

$n=0.25(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.03})^2=1067.11111111\approx1067$

Hence, the required sample size would be 1067 .

3 0

2 years ago

A line segment can grow from which of the following

Paraphin [41]

Answer:

Step-by-step explanation:

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2 years ago

What is the surface area of a rectangular prism with A length of 4 cm, width of 5 cm and a height of 10 cm?

topjm [15]

Answer:

220

Step-by-step explanation:

plug it into surface area formula for rectangular prisms

A=2(wl+hl+hw)

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2 years ago

Read 2 more answers