Answer:
1.2
Step-by-step explanation:
First make -1.5 equal to 0.
We'll have to add 1.5, right?
So 1.5 is in 2.7.
So now its 0 + ? = ?
2.7 - 1.5 = 1.2
So 0 + 1.2 = 1.2
Hope this helped.
Answer:
option B.
About 16% of the books have fewer than 150 pages
Step-by-step explanation:
Since we are dealing with a normal distribution
68.27% of the values will fall in the range with the standard deviation
(180-30 , 180+30) = (150, 210)
Approximately 15.86% of the values will be higher than 210
and the rest 15.86% will be lower than 150
So the correct answer is option B.
About 16% of the books have fewer than 150 pages
Answer:
They are dependent events. Event A is choosing one musician while Event B is choosing another musician. THey are ALL musicians, no matter what instrument they play, we just know that there are 7 musicians in total. Therefore, the events are dependent because after choosing one musician, you would have 6 musicians left, instead of 7.
Step-by-step explanation:
Here are a few rules you need to know for this equation:
- Multiplying exponents of the same base:
![x^m\times x^n=x^{m+n}](https://tex.z-dn.net/?f=%20x%5Em%5Ctimes%20x%5En%3Dx%5E%7Bm%2Bn%7D%20)
- Dividing exponents of the same base:
![\frac{x^m}{x^n}=x^{m-n}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5Em%7D%7Bx%5En%7D%3Dx%5E%7Bm-n%7D%20)
- Turning a negative exponent to a positive one:
![x^{-m}=\frac{1}{x^m};\frac{1}{x^{-m}}=x^m](https://tex.z-dn.net/?f=%20x%5E%7B-m%7D%3D%5Cfrac%7B1%7D%7Bx%5Em%7D%3B%5Cfrac%7B1%7D%7Bx%5E%7B-m%7D%7D%3Dx%5Em%20)
So this is our algebraic expression: ![\frac{3^{-4}\times 2^3\times 3^2}{2^4\times 3^{-3}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%5E%7B-4%7D%5Ctimes%202%5E3%5Ctimes%203%5E2%7D%7B2%5E4%5Ctimes%203%5E%7B-3%7D%7D%20)
Firstly, multiply 3^-4 and 3^2: ![\frac{3^{-4+2}\times 2^3}{2^4\times 3^{-3}}=\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%5E%7B-4%2B2%7D%5Ctimes%202%5E3%7D%7B2%5E4%5Ctimes%203%5E%7B-3%7D%7D%3D%5Cfrac%7B3%5E%7B-2%7D%5Ctimes%202%5E3%7D%7B2%5E4%5Ctimes%203%5E%7B-3%7D%7D%20)
Next, divide:
![\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}=3^{-2-(-3)}2^{3-4}=3^12^{-1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%5E%7B-2%7D%5Ctimes%202%5E3%7D%7B2%5E4%5Ctimes%203%5E%7B-3%7D%7D%3D3%5E%7B-2-%28-3%29%7D2%5E%7B3-4%7D%3D3%5E12%5E%7B-1%7D%20)
Next, turn the negative exponent into a positive one: ![3^12^{-1}= \frac{3}{2}](https://tex.z-dn.net/?f=%203%5E12%5E%7B-1%7D%3D%20%5Cfrac%7B3%7D%7B2%7D%20)
<u>Your final answer is 3/2, or 1.5.</u>