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2 years ago

If the square below is enlarged by a scale factor of 2, what will be the area of the new square?

Mathematics

1 answer:

lutik1710 [3]2 years ago

4 0

Answer:

There is no square picture attached.

SEE BELOW FOR MORE

Step-by-step explanation:

Although, the area will be multiplied by 4.

For example, if the side values are 2,

The area is 4.

But if we enlarge it by a scale factor of two, the side values will be 4.

The area will be 16.

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Answer:

With a 0.01 significance level and samples of 50 and 40 cofee drinkers, there is enough statistical evidence to state that the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers.

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Step-by-step explanation:

To solve this problem, we run a hypothesis test about the difference of population means.

$$$Sample mean $\bar X: \bar X=4.35$\\Sample mean $\bar Y: \bar Y=5.84$\\Population variance $\sigma^2_X: \sigma^2_X=1.2^2$\\Population variance $\sigma^2_Y: \sigma^2_Y=1.36^2$\\Sample size $n_X=50$\\Sample size $n_Y=40$\\Significance level $\alpha=0.01$\\Z criticals values (for a 0.01 significance)\\(Left tail test) Z_{1-\alpha}=Z_{0.990}=-2.32635\\($Right tail test) Z_{\alpha}=Z_{0.010}=2.32636\\($Two-tailed test) $Z_{1-\alpha/2}=Z_{0.995}=-2.57583$ and $ Z_{\alpha/2}=Z_{0.005}=2.57583\\\\$

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$H_0: \mu_X-\mu_Y=0\\H_a: \mu_X-\mu_Y \leq 0\\\\$

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$\mu_X - \mu_Y = M_0=0\\\\$

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