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ddd [48]
3 years ago
14

8 x 10^-3 is how many times as great as 4 x 10^-6

Mathematics
2 answers:
mamaluj [8]3 years ago
7 0

For this case we can rewrite the expressions as:

3 * 10 ^ {- 3} = 0.003

That is, we run the decimal three times to the left.

4 * 10 ^ {- 6} = 0.000004

That is, we run the decimal six times to the left.

So:

0.003-0.000004 = 0.002996

So, we have that 3 * 10 ^ {- 3}is 0.002996 times bigger than 4 * 10 ^ {- 6}

Answer:

3 * 10 ^ {- 3}is 0.002996 times bigger than 4 * 10 ^ {- 6}

SCORPION-xisa [38]3 years ago
3 0

<u>Answer:</u> The first number is 2000 times greater than second number.

<u>Step-by-step explanation:</u>

Let the first number be 'x' and second number be 'y'

We are given:

x = 8\times 10^{-3}

y = 4\times 10^{-6}

To calculate the times, number 'x' is greater than number 'y', we divide the two numbers:

\frac{x}{y}=\frac{8\times 10^{-3}}{4\times 10^{-6}}\\\\\frac{x}{y}=2\times 10^3\\\\x=2000y

Hence, the first number is 2000 times greater than second number.

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Answer:

Null Hypothesis, H_0 : \mu \leq 250 W  

Alternate Hypothesis, H_A : \mu > 250 W    

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

<u><em>Let </em></u>\mu<u><em> = mean power consumption of microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W  

Alternate Hypothesis, H_A : \mu > 250 W    

Here, <u>null hypothesis states tha</u>t the mean power consumption of microwave ovens is no more than 250 W.

On the other hand, <u>alternate hypothesis sates that</u> the mean power consumption of microwave ovens is more than 250 W.

The test statistics that would be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;

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

Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.

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3 years ago
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