Answer:
The age of pluto is:
5,560,000,000 years old = 5.56 × 10⁹ years old
x = 5.56
y = power of 9
Step-by-step explanation:
Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-digit numbers.
We write this in standard form or scientific notation.
5,560,000,000 years old = 5.56 × 10⁹ years old
x = 5.56
y = power of 9
Answer:
![25\pi](https://tex.z-dn.net/?f=25%5Cpi)
Step-by-step explanation:
The formula for the area of a circle is
, r is your radius, A is your area, and π is pi (3.1415...). You plug in your radius, or 5 into r, square it, 25, and multiply it by pi. You may be asked to use a certain number of digits of pi, and in that case you multiply for example 3.14 by 25, however
is the exact answer.
Answer: If X = 5, z=<u>-3</u>
If X = 37, z= <u>3.4</u>
Step-by-step explanation:
We know that the formula to find the z-score for any random variable x is given by :-
![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
, where
= Population mean
= Population standard deviation.
As per given , we have
![\mu=20\\\\\sigma=5](https://tex.z-dn.net/?f=%5Cmu%3D20%5C%5C%5C%5C%5Csigma%3D5)
Then , the z-score for x =5
![z=\dfrac{5-20}{5}=\dfrac{-15}{5}=-3](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B5-20%7D%7B5%7D%3D%5Cdfrac%7B-15%7D%7B5%7D%3D-3)
i.e. If X = 5, z=<u>-3</u>
When x =37,then ![z=\dfrac{37-20}{5}=\dfrac{17}{5}=3.4](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B37-20%7D%7B5%7D%3D%5Cdfrac%7B17%7D%7B5%7D%3D3.4)
i.e. If X = 37, z= <u>3.4</u>
(4,6) is the correct answer