The z-score associated with 14.3 is 0.84. 0.2995 of the population is between 12.2 and 14.3. 0.1894 of the population is less than 10.0.
The formula for a z-score is
z=(X-μ)/σ
With our data, we have:
z=(14.3-12.2)/2.5=0.84
The z-score associated with the mean is 0.5. To find the proportion of the population between the mean and 14.3, subtract 0.7995 (the proportion of population below the z-score of 0.84, using http://www.z-table.com) and 0.5:
0.7995 - 0.5 = 0.2995.
The z-score for 10.0 is
(10.0-12.2)/2.5 = -0.88. The proportion of the population less than this is 0.1894.
Answer: ![\pi 36r^{2}](https://tex.z-dn.net/?f=%5Cpi%2036r%5E%7B2%7D)
Step-by-step explanation:
ALRIGHT ARE YOU READY FOR EPIC MATH TIME?
because i know i am. so lets get this bread.
WATCH: we have ![\pi (3r)2(6r)](https://tex.z-dn.net/?f=%5Cpi%20%283r%292%286r%29)
interesting... that first character is called pi. maybe i should have said, "lets get this pi".
so now lets do some algebra. i am going to work from right to left. lets multiply 6r by 2. that gives us 12r. now we have... ![\pi (3r)(12r)](https://tex.z-dn.net/?f=%5Cpi%20%283r%29%2812r%29)
WE ARE MAKING EPIC PROGRESS, AREN'T WE?
lets multiply 12r by 3r. then we have....
![\pi 36r^{2}](https://tex.z-dn.net/?f=%5Cpi%2036r%5E%7B2%7D)
notice how i multiplied 12 by 3 and also r by r (which gives 36 and
respectively)
so your simplified expression is: ![\pi 36r^{2}](https://tex.z-dn.net/?f=%5Cpi%2036r%5E%7B2%7D)
Hi there!
To get the answer to this question, let's divide the diameter of the Earth by the diameter of Mercury.
![\frac{1.3*10^4}{4.9*10^3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1.3%2A10%5E4%7D%7B4.9%2A10%5E3%7D%20)
We can change this to
![\frac{1.3}{4.9}*\frac{10^4}{10^3}](https://tex.z-dn.net/?f=%5Cfrac%7B1.3%7D%7B4.9%7D%2A%5Cfrac%7B10%5E4%7D%7B10%5E3%7D)
Let's solve for each individual fraction
![\frac{1.3}{4.9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1.3%7D%7B4.9%7D%20)
≈ 0.27
![\frac{10^4}{10^3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%5E4%7D%7B10%5E3%7D%20)
= 10
Now, multiply.
0.27 * 10 = 2.7
That's your answer.
Have an awesome day/night! :)
~collinjun0827, Junior Moderator
Answer:
19%
Step-by-step explanation:
19/100. i don't think it is that simple, but i did the best i could
Nothing can be done with this question!