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3 years ago

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Astronomers measure large distances in light years. One light-year is the distance that light can travel in one year or approxim

ately 5,880,000,000,000 miles. Suppose a star is 14.4 light years from earth. In scientific notation, how many miles away is it?
A- 1.44x10 12 (12 is an exposed)
B- 5.88x10 12 miles away (12 is once again an exponent
C- 8.4672x10 13 13 is an exponet
D- 5.88 x 10 13 (13 is an exponet)

2 answers:

JulsSmile [24]3 years ago

6 0

14.4 * 5.88* 10^12
= 84.672 8 10^12
= 8.4672* 10^13 in scientific notation

C is correct

Firlakuza [10]3 years ago

5 0

Answer:

Option C $=8.4672\times10^{13}$

Step-by-step explanation:

Given : Astronomers measure large distances in light years. One light-year is the distance that light can travel in one year or approximately 5,880,000,000,000 miles.

Suppose a star is 14.4 light years from earth.

To find : How many miles away a star is from earth?

Solution :

In 1 light-year the distance a light can travel is = 5,880,000,000,000 miles.

or = $5.88\times 10^{12}$ miles

In 14.4 lights year the distance is $=14.4\times (5.88\times10^{12})$

$=84.672\times10^{12}$

or $=8.4672\times10^{13}$

Therefore, Option C is correct - $=8.4672\times10^{13}$

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<u>99% confidence interval for</u> $\mu$ = [ $\bar X-3.355 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+3.355 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $27.3-3.355 \times {\frac{2.8}{\sqrt{9} } }$ , $27.3+3.355 \times {\frac{2.8}{\sqrt{9} } }$ ]

= [27.3 $\pm$ 3.131]

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<u>Part II</u> : We are given that the FDA tests on this cigarette gave a mean nicotine content of 24.9 milligrams and standard deviation of 2.6 milligrams for a sample of n = 9 cigarettes.

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The Pivotal quantity for 98% confidence interval for the population mean is given by;

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