Answer:
The correct answer is "
". A further solution is provided below.
Step-by-step explanation:
According to the question,
The probability of getting a 5 will be:
= 
= 
The probability of getting a 7 will be:
= 
= 
The probability of not a 5 nor a 7 will be:
= ![1-[\frac{4}{36} +\frac{4}{36} ]](https://tex.z-dn.net/?f=1-%5B%5Cfrac%7B4%7D%7B36%7D%20%2B%5Cfrac%7B4%7D%7B36%7D%20%5D)
= 
= 
Now,
For roll of 2 dice,
⇒ 
![=\frac{1}{9} [1+\frac{13}{18} +\frac{13^2}{18^2} +\frac{13^3}{18^3} +...]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B1%2B%5Cfrac%7B13%7D%7B18%7D%20%2B%5Cfrac%7B13%5E2%7D%7B18%5E2%7D%20%2B%5Cfrac%7B13%5E3%7D%7B18%5E3%7D%20%2B...%5D)
![=\frac{1}{9} [\frac{1}{1-\frac{13}{18} } ]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B%5Cfrac%7B1%7D%7B1-%5Cfrac%7B13%7D%7B18%7D%20%7D%20%5D)
![=\frac{1}{9} [{\frac{1}{\frac{5}{8} } ]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B%7B%5Cfrac%7B1%7D%7B%5Cfrac%7B5%7D%7B8%7D%20%7D%20%5D)
Answer:slope is 0.4
Step-by-step explanation:
y2-y1 divided by x2-x1
2-4/0-5=0.4
Answer:
4th degree
Step-by-step explanation:
The degree of a monomial is the sum of the exponents of all its variables
FOR EXAMPLE:
7y^(2) x^(3)
the degree of monomial is 2+3=5 (5th degree)
Answer:
both are wrong
Step-by-step explanation:
Answer: Linear
The equation is y = 2x-5
Slope = 2
y intercept = -5
====================================================
Explanation:
Each time x goes up by 1, y increases by 2. This directly leads to a linear equation due to the same rate of change no matter where you are in the table.
The slope is rise/run = 2/1 = 2 because "y increases by 2 each time x increases by 1".
We could use the slope formula to see this. Pick on any two rows to plug in the coordinates. I'll use the last two rows
m = (y2-y1)/(x2-x1)
m = (3-1)/(4-3)
m = 2/1
m = 2
This confirms the slope is 2.
The positive slope means that the line goes uphill as you move from left to right.
---------------
The y intercept is b = -5 because the y intercept always happens when x = 0. This applies to any function, whether it's linear or not.
Together with m = 2 as the slope and b = -5 as the y intercept, we go from y = mx+b to y = 2x-5 as our linear equation
As a way to check, plug in something like x = 1 to find that...
y = 2x-5
y = 2*1-5
y = 2-5
y = -3
The table shows that x = 1 and y = -3 pair up together in the same row, so that confirms x = 1. I'll let you verify the other x values.
