Answer:
a = 4
Step-by-step explanation:
a^2 + b^2 = c^2
a= ?
b= 3
c= 5 (c is always the hypotenuse)
*plug in given values
a^2 + 3^2 = 5^2
a^2 + 9 = 25
-9 -9
a^2 = 16
*find the square root
sqrt(a) = sqrt(16)
a = 4
Answer: Hello mate!
A fair die has the possible results of 1, 2, 3, 4, 5 and 6, where all have the same probability ( that is 1/6).
then when you throw the dice 12 times, all the possible arrays of 12 numbers between 1 and 6 have the same probability of showing up, that is equal to
(1/6)^12
this means that the distribution (iii) 6 6 6 6 6 6 6 6 6 6 6 6 (where each 6 has a 1/6 probability) has the same probabilities that (iv) 1 5 4 3 5 1 2 4 4 6 4 5 (where each number has the same probability; 1/6) and we here are imposing order, so the first number must be a 1, which has a 1/6, the second must be a 5, which also has a 1/6; this is the same for every number (doesn't matter if they are different or equal)
then the correct answer is: with a fair die. They are all equally likely.
The standard equation of parabola:
(y-k)²=4p(x-h), with:
a) vertex = (h,k)
b) focus = (h+p, k)
c) directrix = (x=h-p)
Since this parabola has a vertex at (0,0) that means h=k=0
Hence the equation becomes: y²=4px, let's calculate p:
focus is given (-9,0) Remember h+p = -9 & since h=0, then p= -9
===> y²= - 36x
Answer:
x-intercept: x = -4/3
Step-by-step explanation:
x-intercept when y = 0
-6x + 0 = 8
so
-6x = 8
x = 8/-6
x = -4/3
