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Anon25 [30]
3 years ago
11

What's 763 thousandths in scientific notation

Mathematics
2 answers:
tamaranim1 [39]3 years ago
5 0
Scientific notation is a form of a number that represented with 10^x. This notation will help much when the number is too big or too small because you doesn't need to write all the zero. A thousandth is 1/1000 which means 10^-3. In this case, the scientific notation of 763 thousandths would be:
763 * 10^-3 = 7.63 * 10^-1
Sindrei [870]3 years ago
5 0

The scientific notation of 763 thousandths is \boxed{7.63 \times {{10}^{ - 1}}}.

Further explanation:

Given:

The number is 763 thousandths.

Explanation:

The place values are only natural numbers.

The base ten systems represent the position of a place value.

The first digit from the right is the ones place, the second digit from the right is the tens place, the third digit from the right is the hundreds, the fourth digit from the right is the thousands.

After decimal the first place is the tenth place, the second place is the hundredth and the third place is the thousandth.

763 thousandths in base 10 can be expressed as follows,

\begin{aligned}763{\text{ thousandths}}&= \frac{{763}}{{1000}} \\&= 763 \times {10^{ - 3}} \\ &= 0.763 \\\end{aligned}

The scientific notation of 763 thousandths can be obtained as follows,

\boxed{0.763 = 7.63 \times {{10}^{ - 1}}}

The scientific notation of 763 thousandths is \boxed{7.63 \times {{10}^{ - 1}}}.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Decimals

Keywords: value, scientific notation, 763, digit, place value, tens, hundreds, thousandth, ones, digit, place, base ten.

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Step-by-step explanation:

Information provided

n=1562 represent the random sample selected

X=522 represent the people who have heard of a new electronic reader

\hat p=\frac{522}{1562}=0.334 estimated proportion of people who have heard of a new electronic reader

p_o=0.35 is the value to verify

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z would represent the statistic

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Part a

We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:p=0.35  

Alternative hypothesis:p \neq 0.35  

And is a two tailed test

Part b

The statistic for this case is given :

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326  

Part c

We can calculate the p value using the laternative hypothesis with the following probability:

p_v =2*P(z  

Part d

The null hypothesis for this case would be:

Null hypothesis:p=0.35  

Part e

The best conclusion for this case would be:

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