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Aleksandr [31]
2 years ago
9

If m=

iddle" class="latex-formula"> and n=\frac{1}{xy}, what is \frac{m}{n} in terms of x and y?
A. y^2
B. x^2
C. 1/x^2
D. 1/y^2
-Please explain the process. Thanks!
Mathematics
1 answer:
mina [271]2 years ago
5 0

Answer:

B. x^2

Step-by-step explanation:

If m = x/y and

n = 1/xy

then

m/n = (x/y)/(1/xy)

You can simplify this complex fraction (fraction over a fraction) with the method Keep-Change-Flip. It works!

KEEP x/y

CHANGE ÷ to ×

FLIP 1/xy over to be xy/1

See image.

x/y • xy/1

= x^2

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mr_godi [17]

Answer:

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6 0
3 years ago
A study of recent records of car accidents revealed that average proportion of drivers who were distracted by their phones at th
aksik [14]

Answer:

At least 547 records need to be studied.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

And the margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

In this problem, we have that:

M = 0.04, p = 0.35

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.35*0.65}{n}}

0.04\sqrt{n} = 0.93486

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6 0
3 years ago
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