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maxonik [38]
3 years ago
13

A model rocket was built using a scale factor of 1:15 if the height of the actual rocket is 9.9m, what is the height of the mill

imeters
Mathematics
1 answer:
beks73 [17]3 years ago
3 0

Answer:

660 mm

Step-by-step explanation:

we know that

The scale factor is \frac{1}{15}

That means

1 unit in the model represent 15 units in the actual

or

1 m in the model represent 15 m in the actual

To find out the height of the model rocket, divide the height of the actual rocket by 15

so

9.9\ m=\frac{9.9}{15}= 0.66\ m

Convert m to mm

Remember that

1\ m=1,000\ mm

To convert meters to millimeters, multiply by 1,000

so

0.66\ m=0.66(1,000)=660\ mm

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Answer:

The probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

Step-by-step explanation:

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The standard deviation of this sampling distribution of sample proportion is:

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As the sample size is large, i.e. <em>n</em> = 492 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by the normal distribution.

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Compute the probability that the sample proportion will differ from the population proportion by greater than 0.03 as follows:

P(|\hat p-p|>0.03)=P(|\frac{\hat p-p}{\sigma_{\hat p}}|>\frac{0.03}{0.012})

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Thus, the probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

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