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geniusboy [140]
3 years ago
5

25% of what number is 9

Mathematics
1 answer:
Alexeev081 [22]3 years ago
4 0
Keep in mind the the word "percent" translates to "for each 100." 25% can be read as "25 for each 100," which has the fractional representation \frac{25}{100} and the decimal representation 0.25. All of these representations are just different ways of writing the same value.

Note too that the fraction \frac{25}{100} can be reduced to \frac{1}{4}, so what the question is really asking is: 1/4 of what number is 9?

Well, if we know that 1/4 of the number is 9, we can easily find how large the whole number is by finding all 4/4 of it (the <em>whole</em> number)<em /><em />, or 4 x 9, which multiplies out to 36.
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Step-by-step explanation:

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Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to hav
Svetllana [295]

Answer:

She needs a sample of at least 385.

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 level of 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}.

The margin of error is:

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

95% confidence level

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.

How large a sample should she take to achieve this?

She needs a sample of size at least n.

n is found when M = 0.04.

We do not know the true population proportion, so we use \pi = 0.5, which is the case for which we are going to need the largest sample size.

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

0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.05\sqrt{n} = 1.96*0.5

Dividing both sides by 0.05

\sqrt{n} = 19.6

(\sqrt{n})^{2} = 19.6^{2}

n = 384.2

Rounding up

She needs a sample of at least 385.

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Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent to arc VW. Find x.
SCORPION-xisa [38]

Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.

And the expressions for each arc in the diagram also given as:

Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.

Hence, we will get the system of equations as following:

Arc QR = Arc LN

2x - y = 11 ...(1)

Arc OP = Arc VW

5x + y = 10 ...(2)

We need to find the value of x. So, we can add the equations to eliminate y so that we can solve the equations for x. Therefore,

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