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Naya [18.7K]
3 years ago
10

B) 36 kg in the ratio 1:3:5​

Mathematics
1 answer:
ale4655 [162]3 years ago
8 0

9514 1404 393

Answer:

  4 kg : 12 kg : 20 kg

Step-by-step explanation:

The total number of "ratio units" is 1+3+5 = 9, so each of them represents ...

  (36 kg)/9 = 4 kg

Multiplying the given ratio by 4 kg will show the appropriate division:

  1(4 kg) : 3(4 kg) : 5(4 kg) = 4 kg : 12 kg : 20 kg

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On a standard IQ test, the standard deviation is 15. How many random IQ scores must be obtained if we want to find the true popu
igor_vitrenko [27]

Answer:

We need at least 4238 scores.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.97}{2} = 0.015

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.015 = 0.985, so z = 2.17

Now, find the margin of error M

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many random IQ scores must be obtained if we want to find the true population mean (with an allowable error of 0.5) and we want 97 percent confidence in the results

We need at least n scores, in which N is found when M = 0.5. So

M = z*\frac{\sigma}{\sqrt{n}}

0.5 = 2.17*\frac{15}{\sqrt{n}}

0.5\sqrt{n} = 2.17*15

0.5\sqrt{n} = 32.55

\sqrt{n} = \frac{32.55}{0.5}

\sqrt{n} = 65.1

\sqrt{n}^{2} = (65.1)^{2}

n = 4238

We need at least 4238 scores.

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1/2^9 given that the first question is already known as correct 
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3 years ago
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irina [24]

Hi!

We will solve this by simply multiplying both sides of the equation with 5, like this:

\frac{x}{5} = -2 / *5 \\ x = -10

Hope this helps!

8 0
3 years ago
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