The probability of picking red button is 
<u>Solution:</u>
Given, A jar contains 30 red, 30 blue, and 60 white buttons.
You pick one button at a random choice,
We have to find the probability that it is red button.
Now, total number of buttons = 30 + 30 + 60 = 120 buttons.
Number of favourable cases for red button = 30 red buttons.
The probability of an event is given as:


Thus the probability that it is red is 
The formula for the nth term of a geometric sequence:

a₁ - the first term, r - the common ratio
![54, a_2, a_3, 128 \\ \\ a_1=54 \\ a_4=128 \\ \\ a_n=a_1 \times r^{n-1} \\ a_4=a_1 \times r^3 \\ 128=54 \times r^3 \\ \frac{128}{54}=r^3 \\ \frac{128 \div 2}{54 \div 2}=r^3 \\ \frac{64}{27}=r^3 \\ \sqrt[3]{\frac{64}{27}}=\sqrt[3]{r^3} \\ \frac{\sqrt[3]{64}}{\sqrt[3]{27}}=r \\ r=\frac{4}{3}](https://tex.z-dn.net/?f=54%2C%20a_2%2C%20a_3%2C%20128%20%5C%5C%20%5C%5C%0Aa_1%3D54%20%5C%5C%0Aa_4%3D128%20%5C%5C%20%5C%5C%0Aa_n%3Da_1%20%5Ctimes%20r%5E%7Bn-1%7D%20%5C%5C%0Aa_4%3Da_1%20%5Ctimes%20r%5E3%20%5C%5C%0A128%3D54%20%5Ctimes%20r%5E3%20%5C%5C%0A%5Cfrac%7B128%7D%7B54%7D%3Dr%5E3%20%5C%5C%20%5Cfrac%7B128%20%5Cdiv%202%7D%7B54%20%5Cdiv%202%7D%3Dr%5E3%20%5C%5C%0A%5Cfrac%7B64%7D%7B27%7D%3Dr%5E3%20%5C%5C%0A%5Csqrt%5B3%5D%7B%5Cfrac%7B64%7D%7B27%7D%7D%3D%5Csqrt%5B3%5D%7Br%5E3%7D%20%5C%5C%0A%5Cfrac%7B%5Csqrt%5B3%5D%7B64%7D%7D%7B%5Csqrt%5B3%5D%7B27%7D%7D%3Dr%20%5C%5C%0Ar%3D%5Cfrac%7B4%7D%7B3%7D)
Answer:
<em>25 mg. is lighter than 25 cg.</em>
<em />
Step-by-step explanation:
<em>Well,</em>
<em />
<em>The prefix "milli" means thousandth and the prefix "centi" means hundredth. So a milligram will be one-tenth of a centigram.</em>
<em />
<em>10 mg. = 1 cg.</em>
<em>25 mg. = 2.5 cg.</em>
<em />
<em>2.5 cg. < 25 cg.</em>
<em />
<em>25 mg. is lighter than 25 cg.</em>
This can be solved using a system of equations.

Subtract y from both sides.

Substitute:

Subtract 80 from both sides:

Divide both sides by 5:

Substitute.
Answer:
Step-by-step explanation:
since you are given two points use the point- slope formula and the slope formula
y-y1 = m( x -x1) and m = y2 -y1 / x2 - x1
find the slope m, 1st
p1 = (x1,y1) given (-8,-2)
p2 = (x2,y2) given (-4,-6)
m = -6-(-2) / -4-(-8)
m = -6+2 / -4+8
m = -4 / 4
m = -1 :)
now use the slope you just found and the point-slope with either given point.. pick one.. which ever seems easier... they seem about the same to me
y - (-8) = -1(x-(-2))
y+8 = -1(x+2)
y+8 = -x-2
y = -x-2-8
y= -x-10
and your done :)