Answer:
C.
Step-by-step explanation:
I checked it and it’s right I hope this helps!!
Answer:
72 / 123 * 100 = 58.53658537 per cent
Step-by-step explanation:
Answer:
The proportion of students whose height are lower than Darnell's height is 71.57%
Step-by-step explanation:
The complete question is:
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.
What proportion of proportion of students height are lower than Darnell's height.
Answer:
We first calculate the z-score corresponding to Darnell's height using:
![Z=\frac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
We substitute x=161.4 ,
, and
to get:
![Z=\frac{161.4-150}{20} \\Z=0.57](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B161.4-150%7D%7B20%7D%20%5C%5CZ%3D0.57)
From the normal distribution table, we read 0.5 under 7.
The corresponding area is 0.7157
Therefore the proportion of students whose height are lower than Darnell's height is 71.57%
Answer:
<em>or 704,000</em>
Step-by-step explanation:
<u>Standard Form of Numbers</u>
Any number that we can write as a decimal number between 1.0 and 10.0, multiplied by a power of 10, is said to be in Scientific Notation. Some authors consider standard form and scientific form as the same, but others state that standard form is the common form of expressing numbers, i.e., a sequence of digits, separated by thousands by a comma, and separated from the decimal part by a dot.
We'll give here both answers.
We have to calculate:
![6.72\cdot 10^{5}+3.2\cdot 10^{4}](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D)
Since the numbers don't have the same exponent, we must make them equal. Let's make the second number have an exponent of 5, by dividing by 10:
![6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+3.2/10\cdot 10^{5}](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D%3D6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%2F10%5Ccdot%2010%5E%7B5%7D)
![6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+0.32\cdot 10^{5}](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D%3D6.72%5Ccdot%2010%5E%7B5%7D%2B0.32%5Ccdot%2010%5E%7B5%7D)
Now we add:
![6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04\cdot 10^{5}](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D%3D7.04%5Ccdot%2010%5E%7B5%7D)
It's correctly expressed in scientific notation. Now to convert to 'standard form', multiply by
:
![6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04*100,000=704,000](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D%3D7.04%2A100%2C000%3D704%2C000)