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GenaCL600 [577]
1 year ago
5

1.8*10^-3/6*10^8 write your answer in scientific notation

Mathematics
1 answer:
Zigmanuir [339]1 year ago
3 0

3 × 10⁻¹² is in the form of scientific notation of the number 1.8*10^-3/6*10^8

<h3>What is scientific notation?</h3>

Extremely big or small numbers are presented in a more straightforward manner using scientific notation. When writing numbers that are frequently too long to type or comprehend, many scientists and engineers utilize scientific notation. When a number is written in scientific notation, it becomes a decimal rather than a long string of integers that might not be necessary for the equation as a whole. The number is now easier to comprehend and enter into an equation thanks to the new decimal value. The following is an example of scientific notation.

 c × 10ⁿ ; 1 ≤ c < 10

Scientific notation is a special case of “exponential notation.” Exponential notation has three parts - a base, an exponent, and a “significand.” If you let the base be “d”, the exponent be n, and the significand be c, you’d write a number like this:

c × dⁿ

For scientific notation, the “base” is always 10. So you get:

c × 10ⁿ

To write 1.8*10^-3/6*10^8 in the form of scientific notation , we try to make the number in the highest power of 10.

Hence, after simplifying we get,

(1.8/6) × 10⁻¹²

which then again simplified to get the desired format,

3 × 10⁻¹²

To learn more about exponential notation, visit:-

brainly.com/question/24491454

#SPJ1

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Step-by-step explanation:

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Firstly we have to see that how many customers fall under range 0 to 5.

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Answer:

z=1.28

And if we solve for a we got

a=3.6 +1.28*0.8=4.624

So the value of height that separates the bottom 90% of data from the top 10% is 4.624.

So then the best answer for this case would be:

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(3.6,0.8)  

Where \mu=3.6 and \sigma=0.8

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.1   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.28

And if we solve for a we got

a=3.6 +1.28*0.8=4.624

So the value of height that separates the bottom 90% of data from the top 10% is 4.624.

So then the best answer for this case would be:

 C. 4.64

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