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3 years ago

Write the following expression in exponential form: 1.6 × 1.6 × 1.6 × 1.6

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

8 0

(1.6)^4 would be the exponential form of the expression.

Vilka [71]3 years ago

6 0

Answer:

1.6^4 because that is the same thing as 1.6 x 1.6 x 1.6 x 1.6

Step-by-step explanation:

hope this helps

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3 years ago

We draw a random sample of size 36 from a population with standard deviation 3.5. If the sample mean is 27, what is a 95% confid

inessss [21]

Answer:

The 95% confidence interval for the population mean is between 25.86 and 28.14.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96\frac{3.5}{\sqrt{36}} = 1.14$

The lower end of the interval is the sample mean subtracted by M. So it is 27 - 1.14 = 25.86

The upper end of the interval is the sample mean added to M. So it is 27 + 1.14 = 28.14

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3 years ago

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