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luda_lava [24]
3 years ago
14

The sears tower in chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the mod

el to the height of the actual sears tower.
Mathematics
2 answers:
Dominik [7]3 years ago
8 0

Answer:

\frac{1}{725}

The sear tower is 725 times higher than the sears tower model

Step-by-step explanation:

we know that

The ratio of the height of the model to the height of the actual sears tower is equal to the scale factor

Let

z------> the scale factor

x-------> the height of the model

y-------> the height of the actual

so

z=\frac{x}{y}

we have

x=24\ in

y=1,450\ ft

substitute

z=\frac{24}{1,450}\frac{in}{ft}

simplify

z=\frac{12}{725}\frac{in}{ft}

Remember that

1\ ft=12\ in

so

\frac{12}{725}\frac{in}{ft}=\frac{1}{725}\frac{ft}{ft}

Gemiola [76]3 years ago
8 0
The sear tower is 725 times higher than the sears tower model
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A) H_{0}: p=0.5 (At least half of the workers are women,fair)

B) H_{a}: p<0.5 (Less than half of the workers are women,unfair)

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Step-by-step explanation:

Let p be the proportion of women workers in the company. Null and alternative hypotheses are

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Then z=\frac{0.514-0.5}{\sqrt{\frac{0.5*0.5}{107} } } ≈ 0.29

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Since 0.29<1.64, we fail to reject the null hypothesis. There is no significant evidence that the company has unfair hiring practices at 0.05 significance level.

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