Which value of x makes the numerical sentence true 25^1/2 x 5^-3=5x

1 answer:

4 0

$25^{\frac{1}{2}} \times 5^{-3} = 5^x$

$(5^2)^{\frac{1}{2}} \times 5^{-3} = 5^x$

$5^1 \times 5^{-3} = 5^x$

$5^{1 - 3} = 5^x$

$5^{-2} = 5^x$

$x = -2$

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A study involved measuring the average IQ of Americans. What does the Central Limit Theorem say about the study? As long as the

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Answer:

As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$