Answer:
1/12
Step-by-step explanation:
There are two dices being rolled. A dice has six faces numbered from one to six. A fair dice means that the probability of each number to appear is equal. Thus the probability of any number showing up is:
P(a number appears on the dice) = how much times the number has been displayed on the dice/number of faces of the dice.
Since all numbers appear once, and there are six sides of a dice. therefore:
P(a number appears on the dice) = 1/6. Thus, P(6 appears on a dice) = 1/6.
As far as the odd numbers are concerned, there are three even numbers and three odd numbers on the dice. So P(odd number appears on the dice) = 3/6 = 1/2.
Assuming that the probabilities of both the dices are independent, we can safely multiply both the probabilities. Thus:
P(first dice lands on a 6 and second dice lands on an odd number) = 1/6 * 1/2 = 1/12.
Thus, the final probability is 1/12!!!
Answer:
y= -2/5+5
Step-by-step explanation:
A line must always be written in the form y= and the line given is not. Dividing both sides of the equation by 2 you get y=5/2x-4. This is the equation of the line given.
Perpendicular line have gradients that, when they are multiplied, they are equal to -1
The line given multiplied by the gradient of the line(the one required to find)= - 1. That is 5/2×line= -1.
Dividing both sides of the equation by 5/2 you'll get - 2/5. This is the gradient of the line required.
Using the general formula y=mx+c substitute the gradient into the equation. You'll get something like this y= -2/5x+c.
Substitute the given point into the equation. You'll get something like this 3= -2/5(5)+c.
Calculate the value of c. You'll get c=5.
Substitute the value of c into the original equation. You'll get something like this y= -2/5+5
This is the equation: y= -2/5+5
(Notice that we always have ![y\ge6[tex].)Swap [tex]x](https://tex.z-dn.net/?f=y%5Cge6%5Btex%5D.%29%3C%2Fp%3E%3Cp%3ESwap%20%5Btex%5Dx)
and 
, then solve for :
(this is the inverse)
###
This inverse is valid only for 
. Why?
Suppose we take 
. Then
This would suggest that in the original equation, we should get 
when 
. But when we check this, we end up with
which is clearly not true.
10984 rounded to the nearest thousand is 11,000
Answer:
(20,0)
Step-by-step explanation:
slope = (y2 - y1) / (x2 - x1)
(-5,-5).....x1 = -5 and y1 = -5
(10,-2)...x2 = 10 and y2 = -2
slope = (-2 - (-5) / (10- (-5) = (-2 + 5) / (10 + 5) = 3/15 = 1/5
y = mx + b
slope(m) = 1/5
use either point, I will use (10,-2)...x = 10 and y = -2
now we sub
-2 = 1/5(10) + b
-2 = 2 + b
-2 - 2 = b
-4 = b
so the equation for this line is : y = 1/5x - 4
to find the x intercept, sub in 0 for y and solve for x
y = 1/5x - 4
0 = 1/5x - 4
-1/5x = -4
x = -4 * -5
x = 20.......so ur x intercept is (20,0) <====
