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3 years ago

What 2 square numbers have a difference of 55

1 answer:

5 0

$a^2-b^2 =55 \\ \\ 28^2 -27^2=55 \\ \\ 28^2 =784 \\ \\27^2 =729 \\ \\ 784-729=55 \\ \\ \\ \sf So,~the~ difference~ of~ the~ two~ squares~ of~ 28~ and~ 27~ equals~ to~ 55.$

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3 years ago

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iren [92.7K]

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3 years ago

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Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a

just olya [345]

Answer:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

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So then the correct answer would be:

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Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and $X \sim Bin(n=600, p =0.4)$

And we want this probability:

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$n(1-p)=600*(1-0.4)=360 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

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And then $X \sim N (\mu = 240, \sigma= 12)$

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So then the correct answer would be:

B) .9996

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Answer:
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