Answer:
2
Step-by-step explanation:
Add up the numbers you are given. (-10) + (-5) + 2 + 6 + 17 = 10. Now divide by the number of values. There are 5 values. 10/5 = 2
Well, we know the line is perpendicular to that one above.... what is the slope of that one anyway? well, notice, the equation is already in slope-intercept form
![\bf y=\stackrel{slope}{\cfrac{4}{3}}x+1](https://tex.z-dn.net/?f=%5Cbf%20y%3D%5Cstackrel%7Bslope%7D%7B%5Ccfrac%7B4%7D%7B3%7D%7Dx%2B1)
.
so, we're looking for the equation of a line perpendicular to that one, now, since that one has a slope of 4/3, a perpendicular line will have a negative reciprocal slope to that one,
![\bf \textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{4}{3}\\\\ negative\implies -\cfrac{4}{ 3}\qquad reciprocal\implies - \cfrac{ 3}{4}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bperpendicular%2C%20negative-reciprocal%20slope%20for%7D%5Cquad%20%5Ccfrac%7B4%7D%7B3%7D%5C%5C%5C%5C%0Anegative%5Cimplies%20%20-%5Ccfrac%7B4%7D%7B%203%7D%5Cqquad%20reciprocal%5Cimplies%20-%20%5Ccfrac%7B%203%7D%7B4%7D)
so, what is the equation of a line whose slope is -3/4 and runs through -4,9?
![\bf \begin{array}{ccccccccc} &&x_1&&y_1\\ &&(~ -4 &,& 9~) \end{array} \\\\\\ % slope = m slope = m\implies -\cfrac{3}{4} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-9=-\cfrac{3}{4}[x-(-4)] \\\\\\ y-9=-\cfrac{3}{4}(x+4)](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccccccccc%7D%0A%26%26x_1%26%26y_1%5C%5C%0A%26%26%28~%20-4%20%26%2C%26%209~%29%0A%5Cend%7Barray%7D%0A%5C%5C%5C%5C%5C%5C%0A%25%20slope%20%20%3D%20m%0Aslope%20%3D%20%20m%5Cimplies%20-%5Ccfrac%7B3%7D%7B4%7D%0A%5C%5C%5C%5C%5C%5C%0A%25%20point-slope%20intercept%0A%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7D%5Cimplies%20y-9%3D-%5Ccfrac%7B3%7D%7B4%7D%5Bx-%28-4%29%5D%0A%5C%5C%5C%5C%5C%5C%0Ay-9%3D-%5Ccfrac%7B3%7D%7B4%7D%28x%2B4%29)
now, the x-intercept for any function is found by zeroing out the "y" and solving for "x", thus
![\bf y-9=-\cfrac{3}{4}(x+4)\implies 0-9=-\cfrac{3}{4}(x+4)\implies -9=-\cfrac{3x}{4}-3 \\\\\\ -6=-\cfrac{3x}{4}\implies -24=-3x\implies \cfrac{-24}{-3}=x\implies 8=x](https://tex.z-dn.net/?f=%5Cbf%20y-9%3D-%5Ccfrac%7B3%7D%7B4%7D%28x%2B4%29%5Cimplies%200-9%3D-%5Ccfrac%7B3%7D%7B4%7D%28x%2B4%29%5Cimplies%20-9%3D-%5Ccfrac%7B3x%7D%7B4%7D-3%0A%5C%5C%5C%5C%5C%5C%0A-6%3D-%5Ccfrac%7B3x%7D%7B4%7D%5Cimplies%20-24%3D-3x%5Cimplies%20%5Ccfrac%7B-24%7D%7B-3%7D%3Dx%5Cimplies%208%3Dx)
x = 8, y = 0 ( 8 , 0 )
Answer: 9/25 or 36%
Step-by-step explanation:
The first time it is a probability of 3/5, and the second blue also has a prbability of 3/5. Multiply them together since it is an "and" situation, and you get 9/25. Or, in percentages, it is 60% * 60%, or 0.6 * 0.6, which is 36% or 0.36. Hope this helps!
Answer:
8
Step-by-step explanation:
You must find a common denominator
Because 12 is four times the integer three, you have to multiply two by four as well, to have a common denominator.
so (2/3)*4 = 8/12
This means that 8/12 = x/12, giving you your answer.