The probability of drawing a black marble is 7/31 or .226 or 22.581%. To find the probability of these type of questions, add all together to get 31, then since there are 7 black marbles the probability would be 7/31.
Answer:
smallest value of x = -6
Largest value of x= 6
Step-by-step explanation:
Set equal then factor
Answer:
1. a square bulletin board has an area of 100ft^2 what is the side length of the bulletin board?
<u>Answer</u><u>:</u><u> </u><u>1</u><u>0</u><u> </u><u>ft</u>
• Area = side × side
![100 = {s}^{2} \\ s = \sqrt{100} \\ side = 10 \: ft](https://tex.z-dn.net/?f=100%20%3D%20%20%7Bs%7D%5E%7B2%7D%20%20%5C%5C%20s%20%3D%20%20%5Csqrt%7B100%7D%20%20%5C%5C%20side%20%3D%2010%20%5C%3A%20ft)
2.which is the correct classification of the vaule 2pi?
D. real,irrational
→ It is irrational because it has no denominator, it is real because it has no imaginary part, and it can be plotted on a number line.
3. simplify each expression
![\hookrightarrow \: - 9x + 12 - 10 + x \\ = ( - 9x + x) + 12 - 10 \\ = { \boxed{ - 8x + 2}} \\ \\ \\ \hookrightarrow \: \frac{3}{4} x + 17 - \frac{1}{4} x - 19 \\ \\ = \frac{3}{4} x - \frac{1}{4} x + 17 - 19 \\ \\ { \boxed{ = \frac{1}{2} x - 2}} \\ \\ \\ \hookrightarrow \: 13 + 12x - 4x - 14 \\ = 13 + 8x - 14 \\ { \boxed{ = 8x - 1}} \\ \\ \\ \hookrightarrow \: - \frac{3}{2} x - 68 + 2x + 8 \\ \\ = - \frac{3}{2} x + 2x - 68 + 8 \\ \\ { \boxed{ = \frac{1}{2}x - 60 }}](https://tex.z-dn.net/?f=%20%5Chookrightarrow%20%5C%3A%20%20-%209x%20%2B%2012%20-%2010%20%2B%20x%20%5C%5C%20%20%3D%20%28%20-%209x%20%2B%20x%29%20%2B%2012%20-%2010%20%5C%5C%20%20%3D%20%7B%20%5Cboxed%7B%20-%208x%20%2B%202%7D%7D%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%5Chookrightarrow%20%5C%3A%20%20%5Cfrac%7B3%7D%7B4%7D%20x%20%2B%2017%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20x%20-%2019%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20x%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20x%20%2B%2017%20-%2019%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%202%7D%7D%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%5Chookrightarrow%20%5C%3A%2013%20%2B%2012x%20-%204x%20-%2014%20%5C%5C%20%20%3D%2013%20%2B%208x%20-%2014%20%5C%5C%20%20%7B%20%5Cboxed%7B%20%3D%208x%20-%201%7D%7D%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%5Chookrightarrow%20%5C%3A%20%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20-%2068%20%2B%202x%20%2B%208%20%5C%5C%20%20%5C%5C%20%20%20%3D%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20%2B%202x%20-%2068%20%2B%208%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%3D%20%20%5Cfrac%7B1%7D%7B2%7Dx%20-%2060%20%7D%7D)
<h3>
Answer: B) 15 degrees</h3>
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Explanation:
The radius of the circle is 24, so the circumference is
C = 2*pi*r
C = 2*pi*24
C = 48pi
The whole distance around the circle (perimeter) is exactly 48pi units
However, we only want 2pi of those units as the arc length shows
Divide 2pi over 48pi, and reduce
(2pi)/(48pi) = 1/24
So the arc shown is 1/24th of a full 360 degree revolution. Meaning we multiply the fraction 1/24 by 360 to get
(1/24)*360 = 360/24 = 15
The arc measure is 15 degrees which is equal to the measure of the central angle as well.
Answer:
I got this one
<n would equal 20, <m would equal 50