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2 years ago

What is 39,800,000 in scientific notation? A. 3.98 x 10 B. 398 x 10 C. 3.98 x 10 D. 39.8 x 10

Mathematics

2 answers:

Masteriza [31]2 years ago

7 0

Answer:

3.98 x 10^7

Step-by-step explanation:

Mariulka [41]2 years ago

6 0

Answer:

3.98 x 10⁷

Review:

What is scientific notation: It is a number that is between 1-10 and is written in exponents.

Instruction:

We need to re-write the number "39,800,000" that is between 1-10 and is written in exponents.

Solution:

=> 39,800,000 = 398 x 10⁵

This is still not in scientific notation form because it is not between 1-10. Let's simplify further.

=> 398 x 10⁵ = 3.98 x 10⁵⁺²
=> 3.98 x 10⁷

This is now in scientific notation form because it follows the 2 reasons to form a scientific notation.

Conclusion:

Therefore, 3.98 x 10⁷ is the number in scientific notation.

$BrainiacUser1357$

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.In the Star Wars franchise, Yoda stands at only 66 centimeters tall. Suppose you want to see whether or not hobbits from the Lo

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Step-by-step explanation:

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From a sample of 7 hobbits, you ﬁnd their mean height $\bar X$ = 80 cm with standard deviation s = 10.8 cm.

Let $\mu$ = average height of hobbit.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 66 cm {means that the average height of hobbit is shorter than or equal to Yoda}

Alternate Hypothesis, $H_A$ : $\mu$ > 66 cm {means that the average height of hobbit is taller than Yoda}

The test statistics that would be used here One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}$ ~ $t_n_-_1$

where, $\bar X$ = sample mean height = 80 cm

s = sample standard deviation = 10.8 cm

n = sample of hobbits = 7

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