2 + 8 + 5 = 15 total candy bars.
8 twix, so picking a twix would be 8/15
5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3
Probability of both: 8/15 x 1/3 = 8/45
Answer:
Slope = 0.1 or 1/10
Y-int. = 15
Step-by-step explanation:
We have points (0,15), (3,45), (6,75), and (9,105).
slope is rise over run, or rise/run.
So, 9-3/105-45=6/60
now, simplify 6/60.
6/60=1/10 or 0.1
We already have the y-intercept, (0,15), because that's what intercepts the y-axis.
Each cube has an edge length of 1/2 inch
V = 1/2 * 1/2 * 1/2
V = 1/8 cu in
There are 1120 of these cubes so the volume of the prism is 1/8 * 1120 = 140 cubic inches.
The difference between arcsin and csc is that the result of arc sine is an angle either degrees or radians. csc or cosecant is the inverse of sine in which the value is a number with no units (as it is a ratio). These two are often mistaken but these are different
Answer:
![\text{The solut}\imaginaryI\text{on for the system }\imaginaryI\text{s}\operatorname{\lparen}2,1\operatorname{\rparen}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20solut%7D%5CimaginaryI%5Ctext%7Bon%20for%20the%20system%20%7D%5CimaginaryI%5Ctext%7Bs%7D%5Coperatorname%7B%5Clparen%7D2%2C1%5Coperatorname%7B%5Crparen%7D)
Step-by-step explanation:
The solution of the given functions would be the point of intersection of the two functions, then by graphing linear functions.
![\begin{gathered} y=mx+b \\ where, \\ m=\text{ slope} \\ b=\text{ y-intercept} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3Dmx%2Bb%20%5C%5C%20where%2C%20%5C%5C%20m%3D%5Ctext%7B%20slope%7D%20%5C%5C%20b%3D%5Ctext%7B%20y-intercept%7D%20%5Cend%7Bgathered%7D)
For the given function:
![\begin{gathered} y=-\frac{1}{2}x+2 \\ y=2x-3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B2%20%5C%5C%20y%3D2x-3%20%5Cend%7Bgathered%7D)