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maw [93]
2 years ago
7

Which rule represent the reduction of a figure?

Mathematics
1 answer:
vazorg [7]2 years ago
5 0

Answer:

Correct option: second one

Step-by-step explanation:

Let's check each option to find the correct one.

First option: x and y increase by 2.3 times, so the figure expands. So this is not the correct option.

Second option: x and y decrease 0.52 times, so the figure is reduced. So this is the correct option.

Third option: x and y are translated by 1/3 of their position, so the figure is not reduced.

Fourth option: x and y increase by 7/2 times, so the figure expands. So this is not the correct option.

Correct option: second one

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tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let \bar X = <u><em>sample mean diameter</em></u>

The z score probability distribution for sample mean is given by;

                            Z  =  \frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} }  } }  ~ N(0,1)

where, \mu = population mean diameter = 141 millimetres

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Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P(\bar X > 141.4 millimetres)

      P(\bar X > 141.4) = P( \frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} }  } } > \frac{141.4-141}{\frac{7}{\sqrt{39} }  } } ) = P(Z > 0.36) = 1 - P(Z \leq 0.36)

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The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

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